Untitled.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:22:46       11.689927*       1.0797\n",
      "BFGSLineSearch:    1[  2] 22:22:46       11.670814*       0.4090\n",
      "BFGSLineSearch:    2[  4] 22:22:46       11.625880*       0.0409\n",
      "Adsorption energy: 0.32351942231802155\n"
     ]
    }
   ],
   "source": [
    "from ase import Atoms\n",
    "from ase.calculators.emt import EMT\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.optimize import QuasiNewton\n",
    "from ase.build import fcc111, add_adsorbate\n",
    "\n",
    "h = 1.85\n",
    "d = 1.10\n",
    "\n",
    "slab = fcc111('Cu', size=(4, 4, 2), vacuum=10.0)\n",
    "\n",
    "slab.set_calculator(EMT())\n",
    "e_slab = slab.get_potential_energy()\n",
    "\n",
    "molecule = Atoms('2N', positions=[(0., 0., 0.), (0., 0., d)])\n",
    "molecule.set_calculator(EMT())\n",
    "e_N2 = molecule.get_potential_energy()\n",
    "\n",
    "add_adsorbate(slab, molecule, h, 'ontop')\n",
    "constraint = FixAtoms(mask=[a.symbol != 'N' for a in slab])\n",
    "slab.set_constraint(constraint)\n",
    "dyn = QuasiNewton(slab, trajectory='N2Cu.traj')\n",
    "dyn.run(fmax=0.05)\n",
    "\n",
    "print('Adsorption energy:', e_slab + e_N2 - slab.get_potential_energy())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.visualize import view\n",
    "\n",
    "view(slab)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 0: 0.44020 eV, 0.42370 eV, 0.01650 eV\n",
      "[[ 0.          0.         13.96744922]\n",
      " [ 0.          0.         15.00101973]]\n",
      " 1: 0.43864 eV, 0.28631 eV, 0.15233 eV\n",
      "[[ 0.          0.         14.02957559]\n",
      " [ 0.          0.         14.93889335]]\n",
      " 2: 0.44066 eV, 0.43569 eV, 0.00497 eV\n",
      "[[ 0.          0.         13.9813873 ]\n",
      " [ 0.          0.         14.98708164]]\n",
      " 3: 0.43821 eV, 0.26391 eV, 0.17430 eV\n",
      "[[ 0.          0.         13.93429676]\n",
      " [ 0.          0.         15.03417218]]\n",
      " 4: 0.44034 eV, 0.43994 eV, 0.00040 eV\n",
      "[[ 0.          0.         13.98660663]\n",
      " [ 0.          0.         14.98186232]]\n",
      " 5: 0.43813 eV, 0.26293 eV, 0.17520 eV\n",
      "[[ 0.          0.         14.02837825]\n",
      " [ 0.          0.         14.9400907 ]]\n",
      " 6: 0.44048 eV, 0.42595 eV, 0.01452 eV\n",
      "[[ 0.          0.         13.96269427]\n",
      " [ 0.          0.         15.00577467]]\n",
      " 7: 0.43884 eV, 0.30011 eV, 0.13873 eV\n",
      "[[ 0.          0.         13.9386816 ]\n",
      " [ 0.          0.         15.02978734]]\n",
      " 8: 0.44009 eV, 0.41244 eV, 0.02765 eV\n",
      "[[ 0.          0.         14.00550351]\n",
      " [ 0.          0.         14.96296544]]\n",
      " 9: 0.43840 eV, 0.29668 eV, 0.14172 eV\n",
      "[[ 0.          0.         14.01869818]\n",
      " [ 0.          0.         14.94977077]]\n"
     ]
    }
   ],
   "source": [
    "from ase.md.verlet import VelocityVerlet\n",
    "from ase import units\n",
    "dyn = VelocityVerlet(molecule, dt=1.0 * units.fs)\n",
    "for i in range(10):\n",
    "    pot = molecule.get_potential_energy()\n",
    "    kin = molecule.get_kinetic_energy()\n",
    "    print('%2d: %.5f eV, %.5f eV, %.5f eV' % (i, pot + kin, pot, kin))\n",
    "    dyn.run(steps=20)\n",
    "    print(molecule.positions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.09822694788464063"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "units.fs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "atoms = Atoms('Ni4', [(0, 0, 0),\n",
    "                      (0.45, 0, 0),\n",
    "                      (0, 0.5, 0),\n",
    "                      (0.5, 0.5, 0)],\n",
    "              cell=[1, 1, 1])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Atom('Ni', [0.0, 0.0, 0.0], index=0)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "atoms[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import sqrt\n",
    "a = 3.55\n",
    "cell = [(2/sqrt(2.)*a, 0, 0),\n",
    "        (1/sqrt(2.)*a, sqrt(3./2.)*a, 0),\n",
    "        (0, 0, 10*sqrt(3.)/3.*a)]\n",
    "atoms.set_cell(cell, scale_atoms=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "view(atoms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 5.02045815,  0.        ,  0.        ],\n",
       "       [ 2.51022907,  4.34784429,  0.        ],\n",
       "       [ 0.        ,  0.        , 20.49593456]])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "atoms.cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import identity\n",
    "from ase import Atom\n",
    "xyzcell = identity(3) # The 3x3 unit matrix\n",
    "atoms.set_cell(xyzcell, scale_atoms=True)  # Set the unit cell and rescale\n",
    "atoms.append(Atom('Ni', (1/6., 1/6., .1)))\n",
    "atoms.set_cell(cell, scale_atoms=True)  # Set the unit cell and scale back\n",
    "view(atoms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from ase import Atoms\n",
    "p = np.array(\n",
    "    [[0.27802511, -0.07732213, 13.46649107],\n",
    "     [0.91833251, -1.02565868, 13.41456626],\n",
    "     [0.91865997, 0.87076761, 13.41228287],\n",
    "     [1.85572027, 2.37336781, 13.56440907],\n",
    "     [3.13987926, 2.3633134, 13.4327577],\n",
    "     [1.77566079, 2.37150862, 14.66528237],\n",
    "     [4.52240322, 2.35264513, 13.37435864],\n",
    "     [5.16892729, 1.40357034, 13.42661052],\n",
    "     [5.15567324, 3.30068395, 13.4305779],\n",
    "     [6.10183518, -0.0738656, 13.27945071],\n",
    "     [7.3856151, -0.07438536, 13.40814585],\n",
    "     [6.01881192, -0.08627583, 12.1789428]])\n",
    "c = np.array([[8.490373, 0., 0.],\n",
    "              [0., 4.901919, 0.],\n",
    "              [0., 0., 26.93236]])\n",
    "W = Atoms('4(OH2)', positions=p, cell=c, pbc=[1, 1, 0])\n",
    "W.write('WL.traj')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.io import read\n",
    "W = read('WL.traj')\n",
    "cellW = W.get_cell()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "view(W)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.build import fcc111\n",
    "slab = fcc111('Ni', size=[2, 4, 3], a=3.55, orthogonal=True)\n",
    "cell = slab.get_cell()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "view(slab)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5.02045815, 0.        , 0.        ],\n",
       "       [0.        , 8.69568859, 0.        ],\n",
       "       [0.        , 0.        , 0.        ]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "W.set_cell([[cellW[1, 1], 0, 0],\n",
    "            [0, cellW[0, 0], 0],\n",
    "            cellW[2]],\n",
    "           scale_atoms=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 8.490373,  0.      ,  0.      ],\n",
       "       [ 0.      ,  4.901919,  0.      ],\n",
       "       [ 0.      ,  0.      , 26.93236 ]])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cellW"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 4.901919,  0.      ,  0.      ],\n",
       "       [ 0.      ,  8.490373,  0.      ],\n",
       "       [ 0.      ,  0.      , 26.93236 ]])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "W.get_cell()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "view(W)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "W.rotate(90,'z',center=(0,0,0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "W.wrap()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.25511454, 0.72464072, 0.        ],\n",
       "       [3.76534361, 0.72464072, 0.        ],\n",
       "       [0.        , 2.89856286, 0.        ],\n",
       "       [2.51022907, 2.89856286, 0.        ],\n",
       "       [1.25511454, 5.07248501, 0.        ],\n",
       "       [3.76534361, 5.07248501, 0.        ],\n",
       "       [0.        , 7.24640716, 0.        ],\n",
       "       [2.51022907, 7.24640716, 0.        ],\n",
       "       [0.        , 1.44928143, 2.04959346],\n",
       "       [2.51022907, 1.44928143, 2.04959346],\n",
       "       [1.25511454, 3.62320358, 2.04959346],\n",
       "       [3.76534361, 3.62320358, 2.04959346],\n",
       "       [0.        , 5.79712572, 2.04959346],\n",
       "       [2.51022907, 5.79712572, 2.04959346],\n",
       "       [1.25511454, 7.97104787, 2.04959346],\n",
       "       [3.76534361, 7.97104787, 2.04959346],\n",
       "       [0.        , 0.        , 4.09918691],\n",
       "       [2.51022907, 0.        , 4.09918691],\n",
       "       [1.25511454, 2.17392215, 4.09918691],\n",
       "       [3.76534361, 2.17392215, 4.09918691],\n",
       "       [0.        , 4.34784429, 4.09918691],\n",
       "       [2.51022907, 4.34784429, 4.09918691],\n",
       "       [1.25511454, 6.52176644, 4.09918691],\n",
       "       [3.76534361, 6.52176644, 4.09918691]])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "slab.get_positions()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "cell1 = np.array([cell[0], cell[1], cellW[2]])\n",
    "W.set_cell(cell1, scale_atoms=True)\n",
    "p = slab.get_positions()\n",
    "W.center(vacuum=p[:, 2].max() + 1.5, axis=2)\n",
    "interface = slab.copy()\n",
    "interface.extend(W)\n",
    "interface.center(vacuum=6, axis=2)\n",
    "view(interface)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nitrogen atom energy:  5.10 eV\n",
      "Nitrogen molecule energy: 0.26286 eV\n",
      "Atomization energy:  9.94 eV\n"
     ]
    }
   ],
   "source": [
    "from ase import Atoms\n",
    "from ase.calculators.emt import EMT\n",
    "\n",
    "atom = Atoms('N', calculator=EMT())\n",
    "e_atom = atom.get_potential_energy()\n",
    "\n",
    "d = 0.996\n",
    "molecule = Atoms('2N', [(0., 0., 0.), (0., 0., d)])\n",
    "molecule.set_calculator(EMT())\n",
    "e_molecule = molecule.get_potential_energy()\n",
    "\n",
    "e_atomization = e_molecule - 2 * e_atom\n",
    "\n",
    "print('Nitrogen atom energy: %5.2f eV' % e_atom)\n",
    "print('Nitrogen molecule energy: %5.5f eV' % e_molecule)\n",
    "print('Atomization energy: %5.2f eV' % -e_atomization)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = np.linspace(.99,1.01,1000)\n",
    "e = 0 *d\n",
    "for i in range(len(d)):\n",
    "    molecule.set_distance(0,1,d[i])\n",
    "    e[i]=molecule.get_potential_energy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" 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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fd31c10ed30>]"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.plot(d,e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "a0 = 3.52 / np.sqrt(2)\n",
    "c0 = np.sqrt(8 / 3.0) * a0\n",
    "from ase.io import Trajectory\n",
    "traj = Trajectory('Ni.traj', 'w')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.build import bulk\n",
    "from ase.calculators.emt import EMT\n",
    "eps = 0.01\n",
    "for a in a0 * np.linspace(1 - eps, 1 + eps, 3):\n",
    "    for c in c0 * np.linspace(1 - eps, 1 + eps, 3):\n",
    "        ni = bulk('Ni', 'hcp', a=a, c=c)\n",
    "        ni.set_calculator(EMT())\n",
    "        ni.get_potential_energy()\n",
    "        traj.write(ni)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2.5       ,  0.        ,  0.        ],\n",
       "       [-1.25      ,  2.16506351,  0.        ],\n",
       "       [ 0.        ,  0.        ,  4.        ]])"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ase.build import bulk\n",
    "ni = bulk('Ni', 'hcp', a=2.5, c=4.0)\n",
    "ni.cell\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.io import read\n",
    "configs = read('Ni.traj@:')\n",
    "energies = [config.get_potential_energy() for config in configs]\n",
    "a = np.array([config.cell[0, 0] for config in configs])\n",
    "c = np.array([config.cell[2, 2] for config in configs])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-0.029701330447096552,\n",
       " -0.027509801944624712,\n",
       " -0.020589818669460414,\n",
       " -0.024753432930204156,\n",
       " -0.020417223624274783,\n",
       " -0.011530632137137786,\n",
       " -0.008699207576530199,\n",
       " -0.002135271279630757,\n",
       " 0.008801194926746803]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "energies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "functions = np.array([a**0, a, c, a**2, a * c, c**2])\n",
    "p = np.linalg.lstsq(functions.T, energies, rcond=-1)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "p0 = p[0]\n",
    "p1 = p[1:3]\n",
    "p2 = np.array([(2 * p[3], p[4]),\n",
    "               (p[4], 2 * p[5])])\n",
    "a0, c0 = np.linalg.solve(p2.T, -p1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.465719939633118"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.022777044194546"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "view(ni)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'gpaw'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-84-be8be077fba6>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mase\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moptimize\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mBFGS\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mase\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconstraints\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mStrainFilter\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mgpaw\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mGPAW\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mPW\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      4\u001b[0m \u001b[0mni\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mbulk\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Ni'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'hcp'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0ma0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mc0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mcalc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mGPAW\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmode\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mPW\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m200\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mxc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'LDA'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mtxt\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Ni.out'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'gpaw'"
     ]
    }
   ],
   "source": [
    "from ase.optimize import BFGS\n",
    "from ase.constraints import StrainFilter\n",
    "from gpaw import GPAW, PW\n",
    "ni = bulk('Ni', 'hcp', a=a0,c=c0)\n",
    "calc = GPAW(mode=PW(200),xc='LDA',txt='Ni.out')\n",
    "ni.set_calculator(calc)\n",
    "sf = StrainFilter(ni)\n",
    "opt = BFGS(sf)\n",
    "opt.run(0.005)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd31c074828>"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# creates: cu.png\n",
    "from ase.build import bulk\n",
    "from ase.calculators.test import FreeElectrons\n",
    "\n",
    "a = bulk('Cu')\n",
    "a.calc = FreeElectrons(nvalence=1,\n",
    "                       kpts={'path': 'GXWLGK', 'npoints': 200})\n",
    "a.get_potential_energy()\n",
    "bs = a.calc.band_structure()\n",
    "bs.plot(emax=10, filename='cu.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd3157e40f0>"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# creates: cu.png\n",
    "from ase.build import bulk\n",
    "from ase.calculators.test import FreeElectrons\n",
    "\n",
    "a = bulk('Si')\n",
    "a.calc = FreeElectrons(nvalence=4,\n",
    "                       kpts={'path': 'GXWLGK', 'npoints': 200})\n",
    "a.get_potential_energy()\n",
    "bs = a.calc.band_structure()\n",
    "bs.plot(emax=10, filename='cu.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from ase import Atoms\n",
    "from ase.io.trajectory import Trajectory\n",
    "from ase.calculators.emt import EMT\n",
    "\n",
    "a = 4.0  # approximate lattice constant\n",
    "b = a / 2\n",
    "ag = Atoms('Ag',\n",
    "           cell=[(0, b, b), (b, 0, b), (b, b, 0)],\n",
    "           pbc=1,\n",
    "           calculator=EMT())  # use EMT potential\n",
    "cell = ag.get_cell()\n",
    "traj = Trajectory('Ag.traj', 'w')\n",
    "for x in np.linspace(0.95, 1.05, 11):\n",
    "    ag.set_cell(cell * x, scale_atoms=True)\n",
    "    ag.get_potential_energy()\n",
    "    traj.write(ag)\n",
    "xs=[]\n",
    "es=[]\n",
    "for x in np.linspace(0.95, 1.05, 30):\n",
    "    ag.set_cell(cell * x, scale_atoms=True)\n",
    "    es.append(ag.get_potential_energy())\n",
    "    xs.append(2*(x*b)**3)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100.29492558591573 GPa\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fd2c25f3940>"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "from ase.io import read\n",
    "from ase.units import kJ\n",
    "from ase.eos import EquationOfState\n",
    "configs = read('Ag.traj@0:11')  # read 5 configurations\n",
    "# Extract volumes and energies:\n",
    "volumes = [ag.get_volume() for ag in configs]\n",
    "energies = [ag.get_potential_energy() for ag in configs]\n",
    "eos = EquationOfState(volumes, energies)\n",
    "v0, e0, B = eos.fit()\n",
    "print(B / kJ * 1.0e24, 'GPa')\n",
    "eos.plot('Ag-eos.png')\n",
    "#plt.plot(xs,es,\"o\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.build import bulk\n",
    "from ase.calculators.emt import EMT\n",
    "from ase.eos import calculate_eos\n",
    "from ase.db import connect\n",
    "\n",
    "db = connect('bulk.db')\n",
    "for symb in ['Al', 'Ni', 'Cu', 'Pd', 'Ag', 'Pt', 'Au']:\n",
    "    atoms = bulk(symb, 'fcc')\n",
    "    atoms.calc = EMT()\n",
    "    eos = calculate_eos(atoms)\n",
    "    v, e, B = eos.fit()  # find minimum\n",
    "    # Do one more calculation at the minimu and write to database:\n",
    "    atoms.cell *= (v / atoms.get_volume())**(1 / 3)\n",
    "    atoms.get_potential_energy()\n",
    "    db.write(atoms, bm=B)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2491377136831693 1 5fb8708c52204e2604e0d97dcfb8b05b 18.636469910458114 18.636469910458114 tmh [13] [[0. 0. 0.]] [[0.         1.99715944 1.99715944]\n",
      " [1.99715944 0.         1.99715944]\n",
      " [1.99715944 1.99715944 0.        ]] [ True  True  True] emt {} -0.00488268230884259 [[0. 0. 0.]] \n",
      "1.1046241310671447 2 50b60018fc47d57733fb369f5b478c63 18.63646991549429 18.63646991549429 tmh [28] [[0. 0. 0.]] [[0.         1.74356104 1.74356104]\n",
      " [1.74356104 0.         1.74356104]\n",
      " [1.74356104 1.74356104 0.        ]] [ True  True  True] emt {} -0.013306890189568321 [[0. 0. 0.]] \n",
      "0.8392875566787444 3 5cf2a02c267e410ca5729eecce5cdbe6 18.636469920989907 18.636469920989907 tmh [29] [[0. 0. 0.]] [[0.         1.79491231 1.79491231]\n",
      " [1.79491231 0.         1.79491231]\n",
      " [1.79491231 1.79491231 0.        ]] [ True  True  True] emt {} -0.007036492048371201 [[0. 0. 0.]] \n",
      "1.1183158315379227 4 28914f5c546da33336b7ecb52d08628f 18.63646992406234 18.63646992406234 tmh [46] [[0. 0. 0.]] [[0.         1.93936599 1.93936599]\n",
      " [1.93936599 0.         1.93936599]\n",
      " [1.93936599 1.93936599 0.        ]] [ True  True  True] emt {} -0.0002699249710254037 [[0. 0. 0.]] \n",
      "0.625131599719156 5 dbf45d36a5459ee2595d489f7542603d 18.63646992740939 18.63646992740939 tmh [47] [[0. 0. 0.]] [[0.         2.03177614 2.03177614]\n",
      " [2.03177614 0.         2.03177614]\n",
      " [2.03177614 2.03177614 0.        ]] [ True  True  True] emt {} -0.0003668625391757274 [[0. 0. 0.]] \n",
      "1.7364018950123963 6 12c967f53e81c38003a683a5598f4811 18.636469930727085 18.636469930727085 tmh [78] [[0. 0. 0.]] [[0.         1.96090152 1.96090152]\n",
      " [1.96090152 0.         1.96090152]\n",
      " [1.96090152 1.96090152 0.        ]] [ True  True  True] emt {} -0.0001495270417031236 [[0. 0. 0.]] \n",
      "1.0850176028625962 7 6fdf44b53f4889e33a646a81fdadc64e 18.636469934027666 18.636469934027666 tmh [79] [[0. 0. 0.]] [[0.         2.02808405 2.02808405]\n",
      " [2.02808405 0.         2.02808405]\n",
      " [2.02808405 2.02808405 0.        ]] [ True  True  True] emt {} -0.0001351412166190613 [[0. 0. 0.]] \n"
     ]
    }
   ],
   "source": [
    "db = connect('bulk.db')\n",
    "for row in db.select():\n",
    "    for col in row:\n",
    "        print(row[col],end=' ')\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['id',\n",
       " 'unique_id',\n",
       " 'ctime',\n",
       " 'mtime',\n",
       " 'username',\n",
       " 'numbers',\n",
       " 'positions',\n",
       " 'cell',\n",
       " 'pbc',\n",
       " 'initial_magmoms',\n",
       " 'initial_charges',\n",
       " 'masses',\n",
       " 'tags',\n",
       " 'momenta',\n",
       " 'constraints',\n",
       " 'calculator',\n",
       " 'calculator_parameters',\n",
       " 'energy',\n",
       " 'free_energy',\n",
       " 'forces',\n",
       " 'stress',\n",
       " 'dipole',\n",
       " 'magmoms',\n",
       " 'magmom',\n",
       " 'charges',\n",
       " 'key_value_pairs',\n",
       " 'data',\n",
       " 'natoms',\n",
       " 'fmax',\n",
       " 'smax',\n",
       " 'volume',\n",
       " 'mass',\n",
       " 'charge']"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "db.columnnames"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Atoms(symbols='Zr2', pbc=True, cell=[[3.23, 0.0, 0.0], [-1.615, 2.7972620542237365, 0.0], [0.0, 0.0, 5.14539]])"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bulk('Zr')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ase.calculators.emt import EMT\n",
    "from ase.db import connect\n",
    "from ase.build import fcc111, add_adsorbate\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.optimize import BFGS\n",
    "\n",
    "db1 = connect('bulk.db')\n",
    "db2 = connect('ads.db')\n",
    "\n",
    "\n",
    "def run(symb, a, n, ads):\n",
    "    atoms = fcc111(symb, (1, 1, n), a=a)\n",
    "    add_adsorbate(atoms, ads, height=1.0, position='fcc')\n",
    "\n",
    "    # Constrain all atoms except the adsorbate:\n",
    "    fixed = list(range(len(atoms) - 1))\n",
    "    atoms.constraints = [FixAtoms(indices=fixed)]\n",
    "\n",
    "    atoms.calc = EMT()\n",
    "    opt = BFGS(atoms, logfile=None)\n",
    "    opt.run(fmax=0.01)\n",
    "    return atoms\n",
    "\n",
    "\n",
    "for row in db1.select():\n",
    "    a = row.cell[0, 1] * 2\n",
    "    symb = row.symbols[0]\n",
    "    for n in [1, 2, 3]:\n",
    "        for ads in 'CNO':\n",
    "            atoms = run(symb, a, n, ads)\n",
    "            db2.write(atoms, layers=n, surf=symb, ads=ads)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bm : 0.2491377136831693 Id : 1 Unique_Id : 5fb8708c52204e2604e0d97dcfb8b05b Ctime : 18.636469910458114 Mtime : 18.636469910458114 User : tmh Numbers : [13] Positions : [[0. 0. 0.]] Cell : [[0.         1.99715944 1.99715944]\n",
      " [1.99715944 0.         1.99715944]\n",
      " [1.99715944 1.99715944 0.        ]] Pbc : [ True  True  True] Calculator : emt Calculator_Parameters : {} Energy : -0.00488268230884259 Forces : [[0. 0. 0.]] \n",
      "Bm : 1.1046241310671447 Id : 2 Unique_Id : 50b60018fc47d57733fb369f5b478c63 Ctime : 18.63646991549429 Mtime : 18.63646991549429 User : tmh Numbers : [28] Positions : [[0. 0. 0.]] Cell : [[0.         1.74356104 1.74356104]\n",
      " [1.74356104 0.         1.74356104]\n",
      " [1.74356104 1.74356104 0.        ]] Pbc : [ True  True  True] Calculator : emt Calculator_Parameters : {} Energy : -0.013306890189568321 Forces : [[0. 0. 0.]] \n",
      "Bm : 0.8392875566787444 Id : 3 Unique_Id : 5cf2a02c267e410ca5729eecce5cdbe6 Ctime : 18.636469920989907 Mtime : 18.636469920989907 User : tmh Numbers : [29] Positions : [[0. 0. 0.]] Cell : [[0.         1.79491231 1.79491231]\n",
      " [1.79491231 0.         1.79491231]\n",
      " [1.79491231 1.79491231 0.        ]] Pbc : [ True  True  True] Calculator : emt Calculator_Parameters : {} Energy : -0.007036492048371201 Forces : [[0. 0. 0.]] \n",
      "Bm : 1.1183158315379227 Id : 4 Unique_Id : 28914f5c546da33336b7ecb52d08628f Ctime : 18.63646992406234 Mtime : 18.63646992406234 User : tmh Numbers : [46] Positions : [[0. 0. 0.]] Cell : [[0.         1.93936599 1.93936599]\n",
      " [1.93936599 0.         1.93936599]\n",
      " [1.93936599 1.93936599 0.        ]] Pbc : [ True  True  True] Calculator : emt Calculator_Parameters : {} Energy : -0.0002699249710254037 Forces : [[0. 0. 0.]] \n",
      "Bm : 0.625131599719156 Id : 5 Unique_Id : dbf45d36a5459ee2595d489f7542603d Ctime : 18.63646992740939 Mtime : 18.63646992740939 User : tmh Numbers : [47] Positions : [[0. 0. 0.]] Cell : [[0.         2.03177614 2.03177614]\n",
      " [2.03177614 0.         2.03177614]\n",
      " [2.03177614 2.03177614 0.        ]] Pbc : [ True  True  True] Calculator : emt Calculator_Parameters : {} Energy : -0.0003668625391757274 Forces : [[0. 0. 0.]] \n",
      "Bm : 1.7364018950123963 Id : 6 Unique_Id : 12c967f53e81c38003a683a5598f4811 Ctime : 18.636469930727085 Mtime : 18.636469930727085 User : tmh Numbers : [78] Positions : [[0. 0. 0.]] Cell : [[0.         1.96090152 1.96090152]\n",
      " [1.96090152 0.         1.96090152]\n",
      " [1.96090152 1.96090152 0.        ]] Pbc : [ True  True  True] Calculator : emt Calculator_Parameters : {} Energy : -0.0001495270417031236 Forces : [[0. 0. 0.]] \n",
      "Bm : 1.0850176028625962 Id : 7 Unique_Id : 6fdf44b53f4889e33a646a81fdadc64e Ctime : 18.636469934027666 Mtime : 18.636469934027666 User : tmh Numbers : [79] Positions : [[0. 0. 0.]] Cell : [[0.         2.02808405 2.02808405]\n",
      " [2.02808405 0.         2.02808405]\n",
      " [2.02808405 2.02808405 0.        ]] Pbc : [ True  True  True] Calculator : emt Calculator_Parameters : {} Energy : -0.0001351412166190613 Forces : [[0. 0. 0.]] \n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Atoms(symbols='AlC', pbc=[True, True, False], cell=[[2.8244099641133666, 0.0, 0.0], [1.4122049820566833, 2.44601077962407, 0.0], [0.0, 0.0, 0.0]], tags=..., constraint=FixAtoms(indices=[0]), calculator=SinglePointCalculator(...))"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "db2= connect('ads.db')\n",
    "for row in db.select():\n",
    "    for col in row:\n",
    "        print(col.title(),':',row[col],end=' ')\n",
    "    print()\n",
    "db2.columnnames\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Atoms(symbols='Ni', pbc=True, cell=[[0.0, 1.7435610395928125, 1.7435610395928125], [1.7435610395928125, 0.0, 1.7435610395928125], [1.7435610395928125, 1.7435610395928125, 0.0]], calculator=SinglePointCalculator(...))"
      ]
     },
     "execution_count": 168,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "db1.get_atoms(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:32       18.538221*       0.2460\n",
      "BFGSLineSearch:    1[  1] 19:32:33       18.527942*       0.0456\n",
      "BFGSLineSearch:    2[  3] 19:32:33       18.526160*       0.0573\n",
      "BFGSLineSearch:    3[  4] 19:32:33       18.525709*       0.0187\n",
      "BFGSLineSearch:    4[  5] 19:32:33       18.525621*       0.0060\n",
      "BFGSLineSearch:    5[  7] 19:32:33       18.525556*       0.0100\n",
      "BFGSLineSearch:    6[  9] 19:32:33       18.525526*       0.0029\n",
      "BFGSLineSearch:    7[ 11] 19:32:33       18.525521*       0.0002\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:34       18.730210*       0.8403\n",
      "BFGSLineSearch:    1[  1] 19:32:34       18.652575*       0.2903\n",
      "BFGSLineSearch:    2[  3] 19:32:34       18.627350*       0.1665\n",
      "BFGSLineSearch:    3[  5] 19:32:34       18.618886*       0.0426\n",
      "BFGSLineSearch:    4[  7] 19:32:34       18.616819*       0.0377\n",
      "BFGSLineSearch:    5[  8] 19:32:34       18.616394*       0.0164\n",
      "BFGSLineSearch:    6[ 10] 19:32:34       18.615932*       0.0279\n",
      "BFGSLineSearch:    7[ 12] 19:32:35       18.615515*       0.0063\n",
      "BFGSLineSearch:    8[ 14] 19:32:35       18.615459*       0.0026\n",
      "BFGSLineSearch:    9[ 16] 19:32:35       18.615450*       0.0035\n",
      "BFGSLineSearch:   10[ 18] 19:32:35       18.615442*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:35       18.879301*       1.0193\n",
      "BFGSLineSearch:    1[  1] 19:32:35       18.829257*       0.3531\n",
      "BFGSLineSearch:    2[  2] 19:32:35       18.813318*       0.1002\n",
      "BFGSLineSearch:    3[  3] 19:32:36       18.810999*       0.0685\n",
      "BFGSLineSearch:    4[  5] 19:32:36       18.809197*       0.0770\n",
      "BFGSLineSearch:    5[  7] 19:32:36       18.808448*       0.0239\n",
      "BFGSLineSearch:    6[  9] 19:32:36       18.808141*       0.0049\n",
      "BFGSLineSearch:    7[ 11] 19:32:36       18.808116*       0.0022\n",
      "BFGSLineSearch:    8[ 13] 19:32:36       18.808112*       0.0022\n",
      "BFGSLineSearch:    9[ 14] 19:32:37       18.808111*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:37       18.923429*       0.4587\n",
      "BFGSLineSearch:    1[  1] 19:32:37       18.911278*       0.1696\n",
      "BFGSLineSearch:    2[  3] 19:32:37       18.905910*       0.1286\n",
      "BFGSLineSearch:    3[  5] 19:32:37       18.899266*       0.0345\n",
      "BFGSLineSearch:    4[  7] 19:32:37       18.897615*       0.0405\n",
      "BFGSLineSearch:    5[  9] 19:32:37       18.897025*       0.0195\n",
      "BFGSLineSearch:    6[ 11] 19:32:38       18.896554*       0.0066\n",
      "BFGSLineSearch:    7[ 13] 19:32:38       18.896482*       0.0074\n",
      "BFGSLineSearch:    8[ 15] 19:32:38       18.896461*       0.0051\n",
      "BFGSLineSearch:    9[ 17] 19:32:38       18.896444*       0.0012\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:38       18.830002*       0.3258\n",
      "BFGSLineSearch:    1[  1] 19:32:38       18.820821*       0.0933\n",
      "BFGSLineSearch:    2[  3] 19:32:38       18.812255*       0.0453\n",
      "BFGSLineSearch:    3[  4] 19:32:38       18.810820*       0.0339\n",
      "BFGSLineSearch:    4[  5] 19:32:39       18.809755*       0.0225\n",
      "BFGSLineSearch:    5[  6] 19:32:39       18.808963*       0.0188\n",
      "BFGSLineSearch:    6[  7] 19:32:39       18.808613*       0.0133\n",
      "BFGSLineSearch:    7[  8] 19:32:39       18.808368*       0.0108\n",
      "BFGSLineSearch:    8[  9] 19:32:39       18.808225*       0.0087\n",
      "BFGSLineSearch:    9[ 10] 19:32:39       18.808170*       0.0047\n",
      "BFGSLineSearch:   10[ 11] 19:32:39       18.808150*       0.0031\n",
      "BFGSLineSearch:   11[ 12] 19:32:39       18.808135*       0.0040\n",
      "BFGSLineSearch:   12[ 13] 19:32:39       18.808123*       0.0033\n",
      "BFGSLineSearch:   13[ 14] 19:32:39       18.808116*       0.0015\n",
      "BFGSLineSearch:   14[ 15] 19:32:40       18.808114*       0.0011\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:40       18.657813*       0.5851\n",
      "BFGSLineSearch:    1[  1] 19:32:40       18.623372*       0.1090\n",
      "BFGSLineSearch:    2[  3] 19:32:40       18.619071*       0.1011\n",
      "BFGSLineSearch:    3[  4] 19:32:40       18.617117*       0.0470\n",
      "BFGSLineSearch:    4[  5] 19:32:40       18.616206*       0.0249\n",
      "BFGSLineSearch:    5[  7] 19:32:40       18.615706*       0.0286\n",
      "BFGSLineSearch:    6[  9] 19:32:40       18.615477*       0.0045\n",
      "BFGSLineSearch:    7[ 11] 19:32:41       18.615444*       0.0023\n",
      "BFGSLineSearch:    8[ 13] 19:32:41       18.615439*       0.0020\n",
      "BFGSLineSearch:    9[ 14] 19:32:41       18.615438*       0.0008\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:41       18.615129*       0.4438\n",
      "BFGSLineSearch:    1[  2] 19:32:41       18.544256*       0.2854\n",
      "BFGSLineSearch:    2[  3] 19:32:41       18.533298*       0.0935\n",
      "BFGSLineSearch:    3[  4] 19:32:41       18.529817*       0.0479\n",
      "BFGSLineSearch:    4[  5] 19:32:41       18.527990*       0.0394\n",
      "BFGSLineSearch:    5[  6] 19:32:42       18.526924*       0.0227\n",
      "BFGSLineSearch:    6[  8] 19:32:42       18.526289*       0.0312\n",
      "BFGSLineSearch:    7[ 10] 19:32:42       18.525645*       0.0096\n",
      "BFGSLineSearch:    8[ 12] 19:32:42       18.525584*       0.0078\n",
      "BFGSLineSearch:    9[ 14] 19:32:42       18.525538*       0.0022\n",
      "BFGSLineSearch:   10[ 16] 19:32:42       18.525530*       0.0021\n",
      "BFGSLineSearch:   11[ 18] 19:32:43       18.525525*       0.0020\n",
      "BFGSLineSearch:   12[ 20] 19:32:43       18.525521*       0.0003\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:43       18.730154*       0.8399\n",
      "BFGSLineSearch:    1[  1] 19:32:43       18.652536*       0.2904\n",
      "BFGSLineSearch:    2[  3] 19:32:43       18.627320*       0.1665\n",
      "BFGSLineSearch:    3[  5] 19:32:43       18.618877*       0.0426\n",
      "BFGSLineSearch:    4[  7] 19:32:44       18.616816*       0.0375\n",
      "BFGSLineSearch:    5[  8] 19:32:44       18.616394*       0.0164\n",
      "BFGSLineSearch:    6[ 10] 19:32:44       18.615934*       0.0279\n",
      "BFGSLineSearch:    7[ 12] 19:32:44       18.615516*       0.0063\n",
      "BFGSLineSearch:    8[ 14] 19:32:44       18.615459*       0.0026\n",
      "BFGSLineSearch:    9[ 16] 19:32:44       18.615450*       0.0036\n",
      "BFGSLineSearch:   10[ 18] 19:32:44       18.615442*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:45       18.879308*       1.0194\n",
      "BFGSLineSearch:    1[  1] 19:32:45       18.829260*       0.3531\n",
      "BFGSLineSearch:    2[  2] 19:32:45       18.813319*       0.1002\n",
      "BFGSLineSearch:    3[  3] 19:32:45       18.810999*       0.0685\n",
      "BFGSLineSearch:    4[  5] 19:32:45       18.809197*       0.0770\n",
      "BFGSLineSearch:    5[  7] 19:32:45       18.808448*       0.0239\n",
      "BFGSLineSearch:    6[  9] 19:32:45       18.808141*       0.0049\n",
      "BFGSLineSearch:    7[ 11] 19:32:46       18.808116*       0.0022\n",
      "BFGSLineSearch:    8[ 13] 19:32:46       18.808112*       0.0022\n",
      "BFGSLineSearch:    9[ 14] 19:32:46       18.808111*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:46       18.923430*       0.4587\n",
      "BFGSLineSearch:    1[  1] 19:32:46       18.911278*       0.1696\n",
      "BFGSLineSearch:    2[  3] 19:32:46       18.905911*       0.1286\n",
      "BFGSLineSearch:    3[  5] 19:32:46       18.899266*       0.0345\n",
      "BFGSLineSearch:    4[  7] 19:32:46       18.897615*       0.0405\n",
      "BFGSLineSearch:    5[  9] 19:32:47       18.897025*       0.0195\n",
      "BFGSLineSearch:    6[ 11] 19:32:47       18.896554*       0.0066\n",
      "BFGSLineSearch:    7[ 13] 19:32:47       18.896482*       0.0074\n",
      "BFGSLineSearch:    8[ 15] 19:32:47       18.896461*       0.0051\n",
      "BFGSLineSearch:    9[ 17] 19:32:47       18.896444*       0.0012\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:47       18.830002*       0.3258\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BFGSLineSearch:    1[  1] 19:32:48       18.820821*       0.0933\n",
      "BFGSLineSearch:    2[  3] 19:32:48       18.812255*       0.0453\n",
      "BFGSLineSearch:    3[  4] 19:32:48       18.810820*       0.0339\n",
      "BFGSLineSearch:    4[  5] 19:32:48       18.809755*       0.0225\n",
      "BFGSLineSearch:    5[  6] 19:32:48       18.808963*       0.0188\n",
      "BFGSLineSearch:    6[  7] 19:32:48       18.808613*       0.0133\n",
      "BFGSLineSearch:    7[  8] 19:32:48       18.808368*       0.0108\n",
      "BFGSLineSearch:    8[  9] 19:32:48       18.808225*       0.0087\n",
      "BFGSLineSearch:    9[ 10] 19:32:48       18.808170*       0.0047\n",
      "BFGSLineSearch:   10[ 11] 19:32:48       18.808150*       0.0031\n",
      "BFGSLineSearch:   11[ 12] 19:32:49       18.808135*       0.0040\n",
      "BFGSLineSearch:   12[ 13] 19:32:49       18.808123*       0.0033\n",
      "BFGSLineSearch:   13[ 14] 19:32:49       18.808116*       0.0015\n",
      "BFGSLineSearch:   14[ 15] 19:32:49       18.808114*       0.0011\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:49       18.657813*       0.5851\n",
      "BFGSLineSearch:    1[  1] 19:32:49       18.623372*       0.1090\n",
      "BFGSLineSearch:    2[  3] 19:32:49       18.619071*       0.1011\n",
      "BFGSLineSearch:    3[  4] 19:32:49       18.617117*       0.0470\n",
      "BFGSLineSearch:    4[  5] 19:32:49       18.616206*       0.0249\n",
      "BFGSLineSearch:    5[  7] 19:32:49       18.615706*       0.0286\n",
      "BFGSLineSearch:    6[  9] 19:32:50       18.615477*       0.0045\n",
      "BFGSLineSearch:    7[ 11] 19:32:50       18.615444*       0.0023\n",
      "BFGSLineSearch:    8[ 13] 19:32:50       18.615439*       0.0020\n",
      "BFGSLineSearch:    9[ 14] 19:32:50       18.615438*       0.0008\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:50       18.615129*       0.4438\n",
      "BFGSLineSearch:    1[  2] 19:32:50       18.544256*       0.2854\n",
      "BFGSLineSearch:    2[  3] 19:32:50       18.533298*       0.0935\n",
      "BFGSLineSearch:    3[  4] 19:32:51       18.529817*       0.0479\n",
      "BFGSLineSearch:    4[  5] 19:32:51       18.527990*       0.0394\n",
      "BFGSLineSearch:    5[  6] 19:32:51       18.526924*       0.0227\n",
      "BFGSLineSearch:    6[  8] 19:32:51       18.526289*       0.0312\n",
      "BFGSLineSearch:    7[ 10] 19:32:51       18.525645*       0.0096\n",
      "BFGSLineSearch:    8[ 12] 19:32:51       18.525584*       0.0078\n",
      "BFGSLineSearch:    9[ 14] 19:32:51       18.525538*       0.0022\n",
      "BFGSLineSearch:   10[ 16] 19:32:52       18.525530*       0.0021\n",
      "BFGSLineSearch:   11[ 18] 19:32:52       18.525525*       0.0020\n",
      "BFGSLineSearch:   12[ 20] 19:32:52       18.525521*       0.0003\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:52       18.730154*       0.8399\n",
      "BFGSLineSearch:    1[  1] 19:32:52       18.652536*       0.2904\n",
      "BFGSLineSearch:    2[  3] 19:32:52       18.627320*       0.1665\n",
      "BFGSLineSearch:    3[  5] 19:32:52       18.618877*       0.0426\n",
      "BFGSLineSearch:    4[  7] 19:32:53       18.616816*       0.0375\n",
      "BFGSLineSearch:    5[  8] 19:32:53       18.616394*       0.0164\n",
      "BFGSLineSearch:    6[ 10] 19:32:53       18.615934*       0.0279\n",
      "BFGSLineSearch:    7[ 12] 19:32:53       18.615516*       0.0063\n",
      "BFGSLineSearch:    8[ 14] 19:32:53       18.615459*       0.0026\n",
      "BFGSLineSearch:    9[ 16] 19:32:53       18.615450*       0.0036\n",
      "BFGSLineSearch:   10[ 18] 19:32:53       18.615442*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:54       18.879308*       1.0194\n",
      "BFGSLineSearch:    1[  1] 19:32:54       18.829260*       0.3531\n",
      "BFGSLineSearch:    2[  2] 19:32:54       18.813319*       0.1002\n",
      "BFGSLineSearch:    3[  3] 19:32:54       18.810999*       0.0685\n",
      "BFGSLineSearch:    4[  5] 19:32:54       18.809197*       0.0770\n",
      "BFGSLineSearch:    5[  7] 19:32:54       18.808448*       0.0239\n",
      "BFGSLineSearch:    6[  9] 19:32:54       18.808141*       0.0049\n",
      "BFGSLineSearch:    7[ 11] 19:32:54       18.808116*       0.0022\n",
      "BFGSLineSearch:    8[ 13] 19:32:55       18.808112*       0.0022\n",
      "BFGSLineSearch:    9[ 14] 19:32:55       18.808111*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:55       18.923430*       0.4587\n",
      "BFGSLineSearch:    1[  1] 19:32:55       18.911278*       0.1696\n",
      "BFGSLineSearch:    2[  3] 19:32:55       18.905911*       0.1286\n",
      "BFGSLineSearch:    3[  5] 19:32:55       18.899266*       0.0345\n",
      "BFGSLineSearch:    4[  7] 19:32:55       18.897615*       0.0405\n",
      "BFGSLineSearch:    5[  9] 19:32:56       18.897025*       0.0195\n",
      "BFGSLineSearch:    6[ 11] 19:32:56       18.896554*       0.0066\n",
      "BFGSLineSearch:    7[ 13] 19:32:56       18.896482*       0.0074\n",
      "BFGSLineSearch:    8[ 15] 19:32:56       18.896461*       0.0051\n",
      "BFGSLineSearch:    9[ 17] 19:32:56       18.896444*       0.0012\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:56       18.830002*       0.3258\n",
      "BFGSLineSearch:    1[  1] 19:32:56       18.820821*       0.0933\n",
      "BFGSLineSearch:    2[  3] 19:32:57       18.812255*       0.0453\n",
      "BFGSLineSearch:    3[  4] 19:32:57       18.810820*       0.0339\n",
      "BFGSLineSearch:    4[  5] 19:32:57       18.809755*       0.0225\n",
      "BFGSLineSearch:    5[  6] 19:32:57       18.808963*       0.0188\n",
      "BFGSLineSearch:    6[  7] 19:32:57       18.808613*       0.0133\n",
      "BFGSLineSearch:    7[  8] 19:32:57       18.808368*       0.0108\n",
      "BFGSLineSearch:    8[  9] 19:32:57       18.808225*       0.0087\n",
      "BFGSLineSearch:    9[ 10] 19:32:57       18.808170*       0.0047\n",
      "BFGSLineSearch:   10[ 11] 19:32:57       18.808150*       0.0031\n",
      "BFGSLineSearch:   11[ 12] 19:32:57       18.808135*       0.0040\n",
      "BFGSLineSearch:   12[ 13] 19:32:58       18.808123*       0.0033\n",
      "BFGSLineSearch:   13[ 14] 19:32:58       18.808116*       0.0015\n",
      "BFGSLineSearch:   14[ 15] 19:32:58       18.808114*       0.0011\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:58       18.657813*       0.5851\n",
      "BFGSLineSearch:    1[  1] 19:32:58       18.623372*       0.1090\n",
      "BFGSLineSearch:    2[  3] 19:32:58       18.619071*       0.1011\n",
      "BFGSLineSearch:    3[  4] 19:32:58       18.617117*       0.0470\n",
      "BFGSLineSearch:    4[  5] 19:32:58       18.616206*       0.0249\n",
      "BFGSLineSearch:    5[  7] 19:32:58       18.615706*       0.0286\n",
      "BFGSLineSearch:    6[  9] 19:32:59       18.615477*       0.0045\n",
      "BFGSLineSearch:    7[ 11] 19:32:59       18.615444*       0.0023\n",
      "BFGSLineSearch:    8[ 13] 19:32:59       18.615439*       0.0020\n",
      "BFGSLineSearch:    9[ 14] 19:32:59       18.615438*       0.0008\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:32:59       18.615129*       0.4438\n",
      "BFGSLineSearch:    1[  2] 19:32:59       18.544256*       0.2854\n",
      "BFGSLineSearch:    2[  3] 19:32:59       18.533298*       0.0935\n",
      "BFGSLineSearch:    3[  4] 19:32:59       18.529817*       0.0479\n",
      "BFGSLineSearch:    4[  5] 19:32:59       18.527990*       0.0394\n",
      "BFGSLineSearch:    5[  6] 19:33:00       18.526924*       0.0227\n",
      "BFGSLineSearch:    6[  8] 19:33:00       18.526289*       0.0312\n",
      "BFGSLineSearch:    7[ 10] 19:33:00       18.525645*       0.0096\n",
      "BFGSLineSearch:    8[ 12] 19:33:00       18.525584*       0.0078\n",
      "BFGSLineSearch:    9[ 14] 19:33:00       18.525538*       0.0022\n",
      "BFGSLineSearch:   10[ 16] 19:33:00       18.525530*       0.0021\n",
      "BFGSLineSearch:   11[ 18] 19:33:01       18.525525*       0.0020\n",
      "BFGSLineSearch:   12[ 20] 19:33:01       18.525521*       0.0003\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:01       18.730154*       0.8399\n",
      "BFGSLineSearch:    1[  1] 19:33:01       18.652536*       0.2904\n",
      "BFGSLineSearch:    2[  3] 19:33:01       18.627320*       0.1665\n",
      "BFGSLineSearch:    3[  5] 19:33:01       18.618877*       0.0426\n",
      "BFGSLineSearch:    4[  7] 19:33:01       18.616816*       0.0375\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BFGSLineSearch:    5[  8] 19:33:01       18.616394*       0.0164\n",
      "BFGSLineSearch:    6[ 10] 19:33:02       18.615934*       0.0279\n",
      "BFGSLineSearch:    7[ 12] 19:33:02       18.615516*       0.0063\n",
      "BFGSLineSearch:    8[ 14] 19:33:02       18.615459*       0.0026\n",
      "BFGSLineSearch:    9[ 16] 19:33:02       18.615450*       0.0036\n",
      "BFGSLineSearch:   10[ 18] 19:33:02       18.615442*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:02       18.879308*       1.0194\n",
      "BFGSLineSearch:    1[  1] 19:33:02       18.829260*       0.3531\n",
      "BFGSLineSearch:    2[  2] 19:33:03       18.813319*       0.1002\n",
      "BFGSLineSearch:    3[  3] 19:33:03       18.810999*       0.0685\n",
      "BFGSLineSearch:    4[  5] 19:33:03       18.809197*       0.0770\n",
      "BFGSLineSearch:    5[  7] 19:33:03       18.808448*       0.0239\n",
      "BFGSLineSearch:    6[  9] 19:33:03       18.808141*       0.0049\n",
      "BFGSLineSearch:    7[ 11] 19:33:03       18.808116*       0.0022\n",
      "BFGSLineSearch:    8[ 13] 19:33:03       18.808112*       0.0022\n",
      "BFGSLineSearch:    9[ 14] 19:33:04       18.808111*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:04       18.923430*       0.4587\n",
      "BFGSLineSearch:    1[  1] 19:33:04       18.911278*       0.1696\n",
      "BFGSLineSearch:    2[  3] 19:33:04       18.905911*       0.1286\n",
      "BFGSLineSearch:    3[  5] 19:33:04       18.899266*       0.0345\n",
      "BFGSLineSearch:    4[  7] 19:33:04       18.897615*       0.0405\n",
      "BFGSLineSearch:    5[  9] 19:33:04       18.897025*       0.0195\n",
      "BFGSLineSearch:    6[ 11] 19:33:05       18.896554*       0.0066\n",
      "BFGSLineSearch:    7[ 13] 19:33:05       18.896482*       0.0074\n",
      "BFGSLineSearch:    8[ 15] 19:33:05       18.896461*       0.0051\n",
      "BFGSLineSearch:    9[ 17] 19:33:05       18.896444*       0.0012\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:05       18.830002*       0.3258\n",
      "BFGSLineSearch:    1[  1] 19:33:05       18.820821*       0.0933\n",
      "BFGSLineSearch:    2[  3] 19:33:06       18.812255*       0.0453\n",
      "BFGSLineSearch:    3[  4] 19:33:06       18.810820*       0.0339\n",
      "BFGSLineSearch:    4[  5] 19:33:06       18.809755*       0.0225\n",
      "BFGSLineSearch:    5[  6] 19:33:06       18.808963*       0.0188\n",
      "BFGSLineSearch:    6[  7] 19:33:06       18.808613*       0.0133\n",
      "BFGSLineSearch:    7[  8] 19:33:06       18.808368*       0.0108\n",
      "BFGSLineSearch:    8[  9] 19:33:06       18.808225*       0.0087\n",
      "BFGSLineSearch:    9[ 10] 19:33:06       18.808170*       0.0047\n",
      "BFGSLineSearch:   10[ 11] 19:33:06       18.808150*       0.0031\n",
      "BFGSLineSearch:   11[ 12] 19:33:06       18.808135*       0.0040\n",
      "BFGSLineSearch:   12[ 13] 19:33:07       18.808123*       0.0033\n",
      "BFGSLineSearch:   13[ 14] 19:33:07       18.808116*       0.0015\n",
      "BFGSLineSearch:   14[ 15] 19:33:07       18.808114*       0.0011\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:07       18.657813*       0.5851\n",
      "BFGSLineSearch:    1[  1] 19:33:07       18.623372*       0.1090\n",
      "BFGSLineSearch:    2[  3] 19:33:07       18.619071*       0.1011\n",
      "BFGSLineSearch:    3[  4] 19:33:07       18.617117*       0.0470\n",
      "BFGSLineSearch:    4[  5] 19:33:07       18.616206*       0.0249\n",
      "BFGSLineSearch:    5[  7] 19:33:07       18.615706*       0.0286\n",
      "BFGSLineSearch:    6[  9] 19:33:08       18.615477*       0.0045\n",
      "BFGSLineSearch:    7[ 11] 19:33:08       18.615444*       0.0023\n",
      "BFGSLineSearch:    8[ 13] 19:33:08       18.615439*       0.0020\n",
      "BFGSLineSearch:    9[ 14] 19:33:08       18.615438*       0.0008\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:08       18.615129*       0.4438\n",
      "BFGSLineSearch:    1[  2] 19:33:08       18.544256*       0.2854\n",
      "BFGSLineSearch:    2[  3] 19:33:08       18.533298*       0.0935\n",
      "BFGSLineSearch:    3[  4] 19:33:08       18.529817*       0.0479\n",
      "BFGSLineSearch:    4[  5] 19:33:09       18.527990*       0.0394\n",
      "BFGSLineSearch:    5[  6] 19:33:09       18.526924*       0.0227\n",
      "BFGSLineSearch:    6[  8] 19:33:09       18.526289*       0.0312\n",
      "BFGSLineSearch:    7[ 10] 19:33:09       18.525645*       0.0096\n",
      "BFGSLineSearch:    8[ 12] 19:33:09       18.525584*       0.0078\n",
      "BFGSLineSearch:    9[ 14] 19:33:09       18.525538*       0.0022\n",
      "BFGSLineSearch:   10[ 16] 19:33:09       18.525530*       0.0021\n",
      "BFGSLineSearch:   11[ 18] 19:33:10       18.525525*       0.0020\n",
      "BFGSLineSearch:   12[ 20] 19:33:10       18.525521*       0.0003\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:10       18.730154*       0.8399\n",
      "BFGSLineSearch:    1[  1] 19:33:10       18.652536*       0.2904\n",
      "BFGSLineSearch:    2[  3] 19:33:10       18.627320*       0.1665\n",
      "BFGSLineSearch:    3[  5] 19:33:10       18.618877*       0.0426\n",
      "BFGSLineSearch:    4[  7] 19:33:10       18.616816*       0.0375\n",
      "BFGSLineSearch:    5[  8] 19:33:11       18.616394*       0.0164\n",
      "BFGSLineSearch:    6[ 10] 19:33:11       18.615934*       0.0279\n",
      "BFGSLineSearch:    7[ 12] 19:33:11       18.615516*       0.0063\n",
      "BFGSLineSearch:    8[ 14] 19:33:11       18.615459*       0.0026\n",
      "BFGSLineSearch:    9[ 16] 19:33:11       18.615450*       0.0036\n",
      "BFGSLineSearch:   10[ 18] 19:33:11       18.615442*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:11       18.879308*       1.0194\n",
      "BFGSLineSearch:    1[  1] 19:33:12       18.829260*       0.3531\n",
      "BFGSLineSearch:    2[  2] 19:33:12       18.813319*       0.1002\n",
      "BFGSLineSearch:    3[  3] 19:33:12       18.810999*       0.0685\n",
      "BFGSLineSearch:    4[  5] 19:33:12       18.809197*       0.0770\n",
      "BFGSLineSearch:    5[  7] 19:33:12       18.808448*       0.0239\n",
      "BFGSLineSearch:    6[  9] 19:33:12       18.808141*       0.0049\n",
      "BFGSLineSearch:    7[ 11] 19:33:12       18.808116*       0.0022\n",
      "BFGSLineSearch:    8[ 13] 19:33:13       18.808112*       0.0022\n",
      "BFGSLineSearch:    9[ 14] 19:33:13       18.808111*       0.0010\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:13       18.923430*       0.4587\n",
      "BFGSLineSearch:    1[  1] 19:33:13       18.911278*       0.1696\n",
      "BFGSLineSearch:    2[  3] 19:33:13       18.905911*       0.1286\n",
      "BFGSLineSearch:    3[  5] 19:33:13       18.899266*       0.0345\n",
      "BFGSLineSearch:    4[  7] 19:33:13       18.897615*       0.0405\n",
      "BFGSLineSearch:    5[  9] 19:33:14       18.897025*       0.0195\n",
      "BFGSLineSearch:    6[ 11] 19:33:14       18.896554*       0.0066\n",
      "BFGSLineSearch:    7[ 13] 19:33:14       18.896482*       0.0074\n",
      "BFGSLineSearch:    8[ 15] 19:33:14       18.896461*       0.0051\n",
      "BFGSLineSearch:    9[ 17] 19:33:14       18.896444*       0.0012\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:14       18.830002*       0.3258\n",
      "BFGSLineSearch:    1[  1] 19:33:14       18.820821*       0.0933\n",
      "BFGSLineSearch:    2[  3] 19:33:15       18.812255*       0.0453\n",
      "BFGSLineSearch:    3[  4] 19:33:15       18.810820*       0.0339\n",
      "BFGSLineSearch:    4[  5] 19:33:15       18.809755*       0.0225\n",
      "BFGSLineSearch:    5[  6] 19:33:15       18.808963*       0.0188\n",
      "BFGSLineSearch:    6[  7] 19:33:15       18.808613*       0.0133\n",
      "BFGSLineSearch:    7[  8] 19:33:15       18.808368*       0.0108\n",
      "BFGSLineSearch:    8[  9] 19:33:15       18.808225*       0.0087\n",
      "BFGSLineSearch:    9[ 10] 19:33:15       18.808170*       0.0047\n",
      "BFGSLineSearch:   10[ 11] 19:33:15       18.808150*       0.0031\n",
      "BFGSLineSearch:   11[ 12] 19:33:15       18.808135*       0.0040\n",
      "BFGSLineSearch:   12[ 13] 19:33:15       18.808123*       0.0033\n",
      "BFGSLineSearch:   13[ 14] 19:33:16       18.808116*       0.0015\n",
      "BFGSLineSearch:   14[ 15] 19:33:16       18.808114*       0.0011\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 19:33:16       18.657813*       0.5851\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BFGSLineSearch:    1[  1] 19:33:16       18.623372*       0.1090\n",
      "BFGSLineSearch:    2[  3] 19:33:16       18.619071*       0.1011\n",
      "BFGSLineSearch:    3[  4] 19:33:16       18.617117*       0.0470\n",
      "BFGSLineSearch:    4[  5] 19:33:16       18.616206*       0.0249\n",
      "BFGSLineSearch:    5[  7] 19:33:16       18.615706*       0.0286\n",
      "BFGSLineSearch:    6[  9] 19:33:16       18.615477*       0.0045\n",
      "BFGSLineSearch:    7[ 11] 19:33:17       18.615444*       0.0023\n",
      "BFGSLineSearch:    8[ 13] 19:33:17       18.615439*       0.0020\n",
      "BFGSLineSearch:    9[ 14] 19:33:17       18.615438*       0.0008\n"
     ]
    }
   ],
   "source": [
    "from ase.build import fcc100, add_adsorbate\n",
    "from ase.constraints import FixAtoms, FixedPlane\n",
    "from ase.calculators.emt import EMT\n",
    "from ase.optimize import QuasiNewton\n",
    "\n",
    "# 2x2-Al(001) surface with 3 layers and an\n",
    "# Au atom adsorbed in a hollow site:\n",
    "slab = fcc100('Al', size=(5, 5, 3))\n",
    "add_adsorbate(slab, 'Au', 1.7, 'hollow')\n",
    "slab.center(axis=2, vacuum=4.0)\n",
    "\n",
    "# Make sure the structure is correct:\n",
    "#from ase.visualize import view\n",
    "#view(slab)\n",
    "\n",
    "# Fix second and third layers:\n",
    "mask = [atom.tag > 1 for atom in slab]\n",
    "#print(mask)\n",
    "fixlayers = FixAtoms(mask=mask)\n",
    "\n",
    "# Constrain the last atom (Au atom) to move only in the yz-plane:\n",
    "plane = FixedPlane(-1, (1, 0, 0))\n",
    "\n",
    "slab.set_constraint([fixlayers, plane])\n",
    "\n",
    "# Use EMT potential:\n",
    "slab.set_calculator(EMT())\n",
    "ee=[]\n",
    "xx=[]\n",
    "yy=[]\n",
    "zz=[]\n",
    "for i in range(30):\n",
    "    qn = QuasiNewton(slab, trajectory='mep%d.traj' % i)\n",
    "    qn.run(fmax=0.0015)\n",
    "    xx.append(slab[-1].x)\n",
    "    yy.append(slab[-1].y)\n",
    "    zz.append(slab[-1].z)\n",
    "    ee.append(slab.get_potential_energy())\n",
    "    # Move gold atom along x-axis:\n",
    "    slab[-1].x += slab.get_cell()[0, 0] / 30\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fd2ba5c2048>]"
      ]
     },
     "execution_count": 220,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.plot(xx,yy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3709229453791849"
      ]
     },
     "execution_count": 218,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(ee)-min(ee)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 256,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ True  True False False  True  True False False  True  True False False\n",
      "  True  True False False False]\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:37:20        4.639215*       0.2538\n",
      "BFGSLineSearch:    1[  2] 22:37:20        4.622063*       0.1580\n",
      "BFGSLineSearch:    2[  4] 22:37:20        4.613340*       0.0622\n",
      "BFGSLineSearch:    3[  5] 22:37:20        4.611640*       0.0336\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:37:20        4.639215*       0.2538\n",
      "BFGSLineSearch:    1[  2] 22:37:20        4.622063*       0.1580\n",
      "BFGSLineSearch:    2[  4] 22:37:20        4.613340*       0.0622\n",
      "BFGSLineSearch:    3[  5] 22:37:20        4.611640*       0.0336\n",
      "       Step     Time          Energy         fmax\n",
      "MDMin:    0 22:37:21        4.969997        1.0132\n",
      "MDMin:    1 22:37:21        4.922173        0.8526\n",
      "MDMin:    2 22:37:22        4.833372        0.4716\n",
      "MDMin:    3 22:37:22        4.783209        0.1470\n",
      "MDMin:    4 22:37:23        4.763017        0.1126\n",
      "MDMin:    5 22:37:23        4.748998        0.1235\n",
      "MDMin:    6 22:37:24        4.738185        0.1088\n",
      "MDMin:    7 22:37:24        4.734696        0.1446\n",
      "MDMin:    8 22:37:25        4.733239        0.1325\n",
      "MDMin:    9 22:37:25        4.730233        0.1070\n",
      "MDMin:   10 22:37:25        4.727926        0.0757\n",
      "MDMin:   11 22:37:26        4.726137        0.0638\n",
      "MDMin:   12 22:37:26        4.724338        0.0517\n",
      "MDMin:   13 22:37:27        4.722770        0.0376\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fd24e3f18d0>]"
      ]
     },
     "execution_count": 256,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"Diffusion along rows\"\"\"\n",
    "from __future__ import print_function\n",
    "from math import sqrt\n",
    "\n",
    "from ase import Atoms, Atom\n",
    "from ase.io import write\n",
    "from ase.visualize import view\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.optimize import QuasiNewton, MDMin\n",
    "from ase.neb import NEB\n",
    "from ase.calculators.emt import EMT\n",
    "\n",
    "a = 4.0614\n",
    "b = a / sqrt(2)\n",
    "h = b / 2\n",
    "initial = Atoms('Al2',\n",
    "                positions=[(0, 0, 0),\n",
    "                           (a / 2, b / 2, -h)],\n",
    "                cell=(a, b, 2 * h),\n",
    "                pbc=(1, 1, 0))\n",
    "initial *= (2, 2, 2)\n",
    "initial.append(Atom('Al', (a / 2, b / 2, 3 * h)))\n",
    "initial.center(vacuum=4.0, axis=2)\n",
    "\n",
    "final = initial.copy()\n",
    "final.positions[-1, 1] += b\n",
    "\n",
    "view([initial, final])\n",
    "\n",
    "# Construct a list of images:\n",
    "images = [initial]\n",
    "for i in range(25):\n",
    "    images.append(initial.copy())\n",
    "images.append(final)\n",
    "\n",
    "# Make a mask of zeros and ones that select fixed atoms (the\n",
    "# two bottom layers):\n",
    "mask = initial.positions[:, 2] - min(initial.positions[:, 2]) < 1.5 * h\n",
    "constraint = FixAtoms(mask=mask)\n",
    "print(mask)\n",
    "\n",
    "for image in images:\n",
    "    # Let all images use an EMT calculator:\n",
    "    image.set_calculator(EMT())\n",
    "    image.set_constraint(constraint)\n",
    "\n",
    "# Relax the initial and final states:\n",
    "QuasiNewton(initial).run(fmax=0.05)\n",
    "QuasiNewton(final).run(fmax=0.05)\n",
    "\n",
    "# Create a Nudged Elastic Band:\n",
    "neb = NEB(images)\n",
    "\n",
    "# Make a starting guess for the minimum energy path (a straight line\n",
    "# from the initial to the final state):\n",
    "neb.interpolate()\n",
    "\n",
    "# Relax the NEB path:\n",
    "minimizer = MDMin(neb)\n",
    "minimizer.run(fmax=0.05)\n",
    "\n",
    "# Write the path to a trajectory:\n",
    "view(images)  # 126 meV\n",
    "write('jump1.traj', images)\n",
    "%matplotlib notebook\n",
    "plt.plot([images[i].get_potential_energy() for i in range(25)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 255,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ True  True False False  True  True False False  True  True False False\n",
      "  True  True False False False]\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:36:47        4.639215*       0.2538\n",
      "BFGSLineSearch:    1[  2] 22:36:47        4.622063*       0.1580\n",
      "BFGSLineSearch:    2[  4] 22:36:47        4.613340*       0.0622\n",
      "BFGSLineSearch:    3[  5] 22:36:47        4.611640*       0.0336\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:36:47        4.639215*       0.2538\n",
      "BFGSLineSearch:    1[  2] 22:36:47        4.622063*       0.1580\n",
      "BFGSLineSearch:    2[  4] 22:36:48        4.613340*       0.0622\n",
      "BFGSLineSearch:    3[  5] 22:36:48        4.611640*       0.0336\n",
      "       Step     Time          Energy         fmax\n",
      "MDMin:    0 22:36:48        7.907337        7.4468\n",
      "MDMin:    1 22:36:49        6.168331        3.6842\n",
      "MDMin:    2 22:36:49        5.446354        1.0452\n",
      "MDMin:    3 22:36:50        5.395960        0.8111\n",
      "MDMin:    4 22:36:50        5.309718        0.5246\n",
      "MDMin:    5 22:36:51        5.249946        0.4189\n",
      "MDMin:    6 22:36:51        5.212721        0.1712\n",
      "MDMin:    7 22:36:52        5.193321        0.2406\n",
      "MDMin:    8 22:36:52        5.186990        0.1583\n",
      "MDMin:    9 22:36:53        5.185199        0.1221\n",
      "MDMin:   10 22:36:53        5.182946        0.0726\n",
      "MDMin:   11 22:36:53        5.180871        0.0796\n",
      "MDMin:   12 22:36:54        5.178792        0.0586\n",
      "MDMin:   13 22:36:54        5.176937        0.0494\n"
     ]
    },
    {
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       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fd25a42d9e8>]"
      ]
     },
     "execution_count": 255,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"Diffusion along rows\"\"\"\n",
    "from __future__ import print_function\n",
    "from math import sqrt\n",
    "\n",
    "from ase import Atoms, Atom\n",
    "from ase.io import write\n",
    "from ase.visualize import view\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.optimize import QuasiNewton, MDMin\n",
    "from ase.neb import NEB\n",
    "from ase.calculators.emt import EMT\n",
    "\n",
    "a = 4.0614\n",
    "b = a / sqrt(2)\n",
    "h = b / 2\n",
    "initial = Atoms('Al2',\n",
    "                positions=[(0, 0, 0),\n",
    "                           (a / 2, b / 2, -h)],\n",
    "                cell=(a, b, 2 * h),\n",
    "                pbc=(1, 1, 0))\n",
    "initial *= (2, 2, 2)\n",
    "initial.append(Atom('Al', (a / 2, b / 2, 3 * h)))\n",
    "initial.center(vacuum=4.0, axis=2)\n",
    "\n",
    "final = initial.copy()\n",
    "final.positions[-1, 0] += a\n",
    "\n",
    "view([initial, final])\n",
    "\n",
    "# Construct a list of images:\n",
    "images = [initial]\n",
    "for i in range(25):\n",
    "    images.append(initial.copy())\n",
    "images.append(final)\n",
    "\n",
    "# Make a mask of zeros and ones that select fixed atoms (the\n",
    "# two bottom layers):\n",
    "mask = initial.positions[:, 2] - min(initial.positions[:, 2]) < 1.5 * h\n",
    "constraint = FixAtoms(mask=mask)\n",
    "print(mask)\n",
    "\n",
    "for image in images:\n",
    "    # Let all images use an EMT calculator:\n",
    "    image.set_calculator(EMT())\n",
    "    image.set_constraint(constraint)\n",
    "\n",
    "# Relax the initial and final states:\n",
    "QuasiNewton(initial).run(fmax=0.05)\n",
    "QuasiNewton(final).run(fmax=0.05)\n",
    "\n",
    "# Create a Nudged Elastic Band:\n",
    "neb = NEB(images)\n",
    "\n",
    "# Make a starting guess for the minimum energy path (a straight line\n",
    "# from the initial to the final state):\n",
    "neb.interpolate()\n",
    "\n",
    "# Relax the NEB path:\n",
    "minimizer = MDMin(neb)\n",
    "minimizer.run(fmax=0.05)\n",
    "\n",
    "# Write the path to a trajectory:\n",
    "view(images)  # 126 meV\n",
    "write('jump1.traj', images)\n",
    "%matplotlib notebook\n",
    "plt.plot([images[i].get_potential_energy() for i in range(25)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 251,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ True  True False False  True  True False False  True  True False False\n",
      "  True  True False False False]\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:35:31        4.639215*       0.2538\n",
      "BFGSLineSearch:    1[  2] 22:35:31        4.622063*       0.1580\n",
      "BFGSLineSearch:    2[  4] 22:35:31        4.613340*       0.0622\n",
      "BFGSLineSearch:    3[  5] 22:35:31        4.611640*       0.0336\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:35:31        4.639215*       0.2538\n",
      "BFGSLineSearch:    1[  2] 22:35:31        4.622063*       0.1580\n",
      "BFGSLineSearch:    2[  4] 22:35:31        4.613340*       0.0622\n",
      "BFGSLineSearch:    3[  5] 22:35:31        4.611640*       0.0336\n",
      "       Step     Time          Energy         fmax\n",
      "MDMin:    0 22:35:32        5.433815        1.1633\n",
      "MDMin:    1 22:35:32        5.352153        1.0418\n",
      "MDMin:    2 22:35:33        5.179373        0.7751\n",
      "MDMin:    3 22:35:33        5.034426        0.4801\n",
      "MDMin:    4 22:35:34        4.953046        0.2723\n",
      "MDMin:    5 22:35:34        4.905404        0.1716\n",
      "MDMin:    6 22:35:35        4.878605        0.1367\n",
      "MDMin:    7 22:35:35        4.869273        0.1433\n",
      "MDMin:    8 22:35:36        4.868566        0.1338\n",
      "MDMin:    9 22:35:36        4.866856        0.1110\n",
      "MDMin:   10 22:35:37        4.864797        0.0965\n",
      "MDMin:   11 22:35:37        4.862577        0.0911\n",
      "MDMin:   12 22:35:38        4.860218        0.0860\n",
      "MDMin:   13 22:35:38        4.857823        0.0783\n",
      "MDMin:   14 22:35:38        4.855500        0.0708\n",
      "MDMin:   15 22:35:39        4.853317        0.0652\n",
      "MDMin:   16 22:35:39        4.851313        0.0590\n",
      "MDMin:   17 22:35:40        4.849625        0.0673\n",
      "MDMin:   18 22:35:40        4.848906        0.0845\n",
      "MDMin:   19 22:35:41        4.848854        0.0717\n",
      "MDMin:   20 22:35:41        4.848702        0.0509\n",
      "MDMin:   21 22:35:42        4.848435        0.0486\n"
     ]
    }
   ],
   "source": [
    "\"\"\"Diffusion by an exchange process\"\"\"\n",
    "from __future__ import print_function\n",
    "\n",
    "from math import sqrt\n",
    "\n",
    "from ase import Atoms, Atom\n",
    "from ase.io import write\n",
    "from ase.visualize import view\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.optimize import QuasiNewton, MDMin\n",
    "from ase.neb import NEB\n",
    "from ase.calculators.emt import EMT\n",
    "\n",
    "a = 4.0614\n",
    "b = a / sqrt(2)\n",
    "h = b / 2\n",
    "initial = Atoms('Al2',\n",
    "                positions=[(0, 0, 0),\n",
    "                           (a / 2, b / 2, -h)],\n",
    "                cell=(a, b, 2 * h),\n",
    "                pbc=(1, 1, 0))\n",
    "initial *= (2, 2, 2)\n",
    "initial.append(Atom('Al', (a / 2, b / 2, 3 * h)))\n",
    "initial.center(vacuum=4.0, axis=2)\n",
    "\n",
    "final = initial.copy()\n",
    "# move adatom to row atom 14\n",
    "final.positions[-1, :] = initial.positions[14]\n",
    "# Move row atom 14 to the next row\n",
    "final.positions[14, :] = initial.positions[-1] + [a, b, 0]\n",
    "\n",
    "view([initial, final])\n",
    "\n",
    "# Construct a list of images:\n",
    "images = [initial]\n",
    "for i in range(25):\n",
    "    images.append(initial.copy())\n",
    "images.append(final)\n",
    "\n",
    "# Make a mask of zeros and ones that select fixed atoms (the\n",
    "# two bottom layers):\n",
    "mask = initial.positions[:, 2] - min(initial.positions[:, 2]) < 1.5 * h\n",
    "constraint = FixAtoms(mask=mask)\n",
    "print(mask)\n",
    "\n",
    "for image in images:\n",
    "    # Let all images use an EMT calculator:\n",
    "    image.set_calculator(EMT())\n",
    "    image.set_constraint(constraint)\n",
    "\n",
    "# Relax the initial and final states:\n",
    "QuasiNewton(initial).run(fmax=0.05)\n",
    "QuasiNewton(final).run(fmax=0.05)\n",
    "\n",
    "# Create a Nudged Elastic Band:\n",
    "neb = NEB(images)\n",
    "\n",
    "# Make a starting guess for the minimum energy path (a straight line\n",
    "# from the initial to the final state):\n",
    "neb.interpolate()\n",
    "\n",
    "# Relax the NEB path:\n",
    "minimizer = MDMin(neb)\n",
    "# minimizer = QuasiNewton(neb)\n",
    "minimizer.run(fmax=0.05)\n",
    "\n",
    "# Write the path to a trajectory:\n",
    "view(images)\n",
    "# 235 meV\n",
    "write('jump3.traj', images)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 254,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fd2c21f96a0>]"
      ]
     },
     "execution_count": 254,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.plot([images[i].get_potential_energy() for i in range(25)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 269,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 22:54:00        4.639215*       0.2538\n",
      "BFGSLineSearch:    1[  2] 22:54:00        4.622063*       0.1580\n",
      "BFGSLineSearch:    2[  4] 22:54:00        4.613340*       0.0622\n",
      "BFGSLineSearch:    3[  5] 22:54:00        4.611640*       0.0336\n",
      "The energy barrier is 1.192499 eV.\n"
     ]
    }
   ],
   "source": [
    "\"\"\"Dimer: Diffusion along rows\"\"\"\n",
    "from __future__ import print_function\n",
    "import numpy as np\n",
    "\n",
    "from math import sqrt\n",
    "\n",
    "from ase import Atoms, Atom\n",
    "from ase.io import Trajectory\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.optimize import QuasiNewton\n",
    "from ase.calculators.emt import EMT\n",
    "from ase.dimer import DimerControl, MinModeAtoms, MinModeTranslate\n",
    "\n",
    "# Setting up the initial image:\n",
    "a = 4.0614\n",
    "b = a / sqrt(2)\n",
    "h = b / 2\n",
    "initial = Atoms('Al2',\n",
    "                positions=[(0, 0, 0),\n",
    "                           (a / 2, b / 2, -h)],\n",
    "                cell=(a, b, 2 * h),\n",
    "                pbc=(1, 1, 0))\n",
    "initial *= (2, 2, 2)\n",
    "initial.append(Atom('Al', (a / 2, b / 2, 3 * h)))\n",
    "initial.center(vacuum=4.0, axis=2)\n",
    "\n",
    "N = len(initial)  # number of atoms\n",
    "\n",
    "# Make a mask of zeros and ones that select fixed atoms - the two\n",
    "# bottom layers:\n",
    "mask = initial.positions[:, 2] - min(initial.positions[:, 2]) < 1.5 * h\n",
    "constraint = FixAtoms(mask=mask)\n",
    "initial.set_constraint(constraint)\n",
    "\n",
    "# Calculate using EMT:\n",
    "initial.set_calculator(EMT())\n",
    "\n",
    "# Relax the initial state:\n",
    "QuasiNewton(initial).run(fmax=0.05)\n",
    "e0 = initial.get_potential_energy()\n",
    "\n",
    "traj = Trajectory('dimer_along.traj', 'w', initial)\n",
    "traj.write()\n",
    "\n",
    "# Making dimer mask list:\n",
    "d_mask = [False] * (N - 1) + [True]\n",
    "\n",
    "# Set up the dimer:\n",
    "d_control = DimerControl(initial_eigenmode_method='displacement',\n",
    "                         displacement_method='vector',\n",
    "                         logfile=None,\n",
    "                         mask=d_mask)\n",
    "d_atoms = MinModeAtoms(initial, d_control)\n",
    "\n",
    "# Displacement settings:\n",
    "displacement_vector = np.zeros((N, 3))\n",
    "# Strength of displacement along y axis = along row:\n",
    "displacement_vector[-1, 0] = 0.001\n",
    "displacement_vector[-1, 1] = 0.00025\n",
    "# The direction of the displacement is set by the a in\n",
    "# displacement_vector[-1, a], where a can be 0 for x, 1 for y and 2 for z.\n",
    "d_atoms.displace(displacement_vector=displacement_vector)\n",
    "\n",
    "# Converge to a saddle point:\n",
    "dim_rlx = MinModeTranslate(d_atoms,\n",
    "                           trajectory=traj,\n",
    "                           logfile=None)\n",
    "dim_rlx.run(fmax=0.0001)\n",
    "\n",
    "diff = initial.get_potential_energy() - e0\n",
    "print(('The energy barrier is %f eV.' % diff))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 270,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 23:08:15        3.323870*       0.2462\n",
      "BFGSLineSearch:    1[  1] 23:08:15        3.314754*       0.0378\n",
      "                Step[ FC]     Time          Energy          fmax\n",
      "*Force-consistent energies used in optimization.\n",
      "BFGSLineSearch:    0[  0] 23:08:15        3.320051*       0.1208\n",
      "BFGSLineSearch:    1[  1] 23:08:15        3.316117*       0.0474\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 270,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ase.build import fcc100, add_adsorbate\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.calculators.emt import EMT\n",
    "from ase.optimize import QuasiNewton\n",
    "\n",
    "# 2x2-Al(001) surface with 3 layers and an\n",
    "# Au atom adsorbed in a hollow site:\n",
    "slab = fcc100('Al', size=(2, 2, 3))\n",
    "add_adsorbate(slab, 'Au', 1.7, 'hollow')\n",
    "slab.center(axis=2, vacuum=4.0)\n",
    "\n",
    "# Make sure the structure is correct:\n",
    "#view(slab)\n",
    "\n",
    "# Fix second and third layers:\n",
    "mask = [atom.tag > 1 for atom in slab]\n",
    "#print(mask)\n",
    "slab.set_constraint(FixAtoms(mask=mask))\n",
    "\n",
    "# Use EMT potential:\n",
    "slab.set_calculator(EMT())\n",
    "\n",
    "# Initial state:\n",
    "qn = QuasiNewton(slab, trajectory='initial.traj')\n",
    "qn.run(fmax=0.05)\n",
    "\n",
    "# Final state:\n",
    "slab[-1].x += slab.get_cell()[0, 0] / 2\n",
    "qn = QuasiNewton(slab, trajectory='final.traj')\n",
    "qn.run(fmax=0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 277,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      Step     Time          Energy         fmax\n",
      "BFGS:    0 23:16:02        4.219952        3.5208\n",
      "BFGS:    1 23:16:02        3.983963        2.4270\n",
      "BFGS:    2 23:16:02        3.830638        1.5293\n",
      "BFGS:    3 23:16:02        3.743967        0.8014\n",
      "BFGS:    4 23:16:02        3.709472        0.2219\n",
      "BFGS:    5 23:16:02        3.706320        0.2134\n",
      "BFGS:    6 23:16:02        3.705189        0.2258\n",
      "BFGS:    7 23:16:02        3.700939        0.2330\n",
      "BFGS:    8 23:16:02        3.694951        0.2134\n",
      "BFGS:    9 23:16:02        3.691450        0.1696\n",
      "BFGS:   10 23:16:03        3.691712        0.0892\n",
      "BFGS:   11 23:16:03        3.691722        0.0997\n",
      "BFGS:   12 23:16:03        3.690994        0.0824\n",
      "BFGS:   13 23:16:03        3.689906        0.0726\n",
      "BFGS:   14 23:16:03        3.689587        0.0767\n",
      "BFGS:   15 23:16:03        3.689807        0.0886\n",
      "BFGS:   16 23:16:03        3.689751        0.0972\n",
      "BFGS:   17 23:16:03        3.689210        0.0694\n",
      "BFGS:   18 23:16:03        3.688775        0.0294\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fd24822deb8>]"
      ]
     },
     "execution_count": 277,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ase.io import read\n",
    "from ase.constraints import FixAtoms\n",
    "from ase.calculators.emt import EMT\n",
    "from ase.neb import NEB\n",
    "from ase.optimize import BFGS\n",
    "\n",
    "initial = read('initial.traj')\n",
    "final = read('final.traj')\n",
    "\n",
    "constraint = FixAtoms(mask=[atom.tag > 1 for atom in initial])\n",
    "\n",
    "images = [initial]\n",
    "for i in range(3):\n",
    "    image = initial.copy()\n",
    "    image.set_calculator(EMT())\n",
    "    image.set_constraint(constraint)\n",
    "    images.append(image)\n",
    "\n",
    "images.append(final)\n",
    "\n",
    "neb = NEB(images)\n",
    "neb.interpolate()\n",
    "qn = BFGS(neb, trajectory='neb.traj')\n",
    "qn.run(fmax=0.05)\n",
    "%matplotlib notebook\n",
    "plt.plot([images[i].get_potential_energy() for i in range(5)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 278,
   "metadata": {},
   "outputs": [],
   "source": [
    "from asap3 import EMT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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