CH2-Kinematic Scattering Geometry.ipynb

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   "source": [
    "\n",
    "## Chapter 2 [Diffraction](Ch3-_Diffraction.ipynb)\n",
    "\n",
    "\n",
    "<hr style=\"height:1px;border-top:4px solid #FF8200\" />\n",
    "\n",
    "# Kinematic Scattering Geometry\n",
    "\n",
    "part of \n",
    "\n",
    "## [Analysis of Transmission Electron Microscope Data](_Analysis_of_Transmission_Electron_Microscope_Data.ipynb)\n",
    "\n",
    "\n",
    "\n",
    "by Gerd Duscher, 2019\n",
    "\n",
    "Microscopy Facilities<br>\n",
    "Joint Institute of Advanced Materials<br>\n",
    "The University of Tennessee, Knoxville\n",
    "\n",
    "Model based analysis and quantification of data acquired with transmission electron microscopes\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Import numerial and plotting python packages"
   ]
  },
  {
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   "execution_count": 1,
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    "slideshow": {
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   "outputs": [
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     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n",
      "Using KinsCat library version  0.5  by G.Duscher\n",
      "spglib not installed; Symmetry functions of spglib disabled\n",
      "windows\n"
     ]
    }
   ],
   "source": [
    "# import matplotlib and numpy\n",
    "#                       use \"inline\" instead of \"notebook\" for non-interactive plots\n",
    "%pylab --no-import-all notebook\n",
    "\n",
    "# 3D plotting package used\n",
    "from mpl_toolkits.mplot3d import Axes3D # 3D plotting \n",
    "\n",
    "# additional package \n",
    "import  itertools \n",
    "import scipy.constants as const\n",
    "\n",
    "# Import libraries from the book\n",
    "import pyTEMlib\n",
    "import pyTEMlib.KinsCat as ks         # Kinematic sCattering Library\n",
    "                             # Atomic form factors from Kirklands book\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "\n",
    "## Define silicon crystal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true,
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     "slide_type": "-"
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   "outputs": [
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     "text": [
      "['Si']\n",
      "['Si', 'Si', 'Si', 'Si', 'Si', 'Si', 'Si', 'Si']\n",
      "[(0.0, 0.0, 0.0), (0.5, 0.0, 0.5), (0.5, 0.5, 0.0), (0.0, 0.5, 0.5), [0.25, 0.25, 0.25], [0.75, 0.25, 0.75], [0.75, 0.75, 0.25], [0.25, 0.75, 0.75]]\n"
     ]
    }
   ],
   "source": [
    "#Initialize the dictionary with all the input\n",
    "tags = ks.structure_by_name('Silicon')\n",
    "\n",
    "print(tags['elements'])\n",
    "print(tags['base'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Wavelength and Magnitude of Incident Wavevector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
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   },
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     "text": [
      "The wavelength for 20.0kV is : 8.58851pm\n",
      "The magnitude of the incident wavevector is 116.4 1/nm\n"
     ]
    }
   ],
   "source": [
    "acceleration_voltage_V = 20.0 *1000.0 #V\n",
    "\n",
    "wave_length_nm  = ks.get_waveLength(acceleration_voltage_V)\n",
    "\n",
    "print('The wavelength for {0:.1f}kV is : {1:.5f}pm'.format(acceleration_voltage_V/1000.,wave_length_nm*1000.))\n",
    "\n",
    "wave_vector_magnitude = 1/wave_length_nm\n",
    "K0 = wave_vector_magnitude\n",
    "\n",
    "print('The magnitude of the incident wavevector is {0:.1f} 1/nm'.format(K0) )\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Reciprocal Lattice and Incident Wavevector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "reciprocal lattice\n",
      " [[1.764271 0.       0.      ]\n",
      " [0.       1.764271 0.      ]\n",
      " [0.       0.       1.764271]]\n",
      "Incident wavevector:  [  0.          0.        398.7345709]  in units of [1/nm]\n"
     ]
    }
   ],
   "source": [
    "zone = [0,0,1] #Parallel to z-axis for simplicity\n",
    "\n",
    "#Reciprocal Lattice \n",
    "# We use the linear algebra package of numpy to invert the unit_cell \"matrix\"\n",
    "reciprocal_lattice = np.linalg.inv(tags['unit_cell']).T # transposed of inverted unit_cell\n",
    "\n",
    "print('reciprocal lattice\\n',reciprocal_lattice)\n",
    "\n",
    "#Incident wavevector in vacuum \n",
    "# zone axis in global coordinate system\n",
    "zone_vector = np.dot(zone,reciprocal_lattice)\n",
    "K0_unit_vector = zone_vector/ np.linalg.norm(zone_vector) # incident unit wave vector \n",
    "K0_vector =K0_unit_vector*K0 \n",
    "\n",
    "print('Incident wavevector: ',K0_vector,' in units of [1/nm]')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 2D Plot of Unit Cell in Reciprocal Space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
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       "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=\"639.9\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-0.09930225946638538,\n",
       " 1.8635732552457058,\n",
       " -0.10309450216991839,\n",
       " 1.867365497949239)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.scatter(reciprocal_lattice[:,0], reciprocal_lattice[:,2], c='red', s=100)\n",
    "plt.xlabel('h')\n",
    "plt.ylabel('l')\n",
    "ax.axis('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 2D plot of Reciprocal Lattice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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=\"639.9\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-9.911088709677419, 9.911088709677419, -9.914880952380951, 9.914880952380953)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hkl_max = 9\n",
    "h  = np.linspace(-hkl_max,hkl_max,2*hkl_max+1)  # all evaluated single Miller Indices\n",
    "hkl  = np.array(list(itertools.product(h,h,h) )) # all evaluated Miller indices\n",
    "\n",
    "# Plot 2D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.scatter(hkl[:,0], hkl[:,2], c='red', s=100)\n",
    "plt.xlabel('h')\n",
    "plt.ylabel('l')\n",
    "ax.axis('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 2D Plot of Reciprocal Lattice\n",
    "We really do not need that many reflections in the z-direction, so we reduce those."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2116, 3)\n",
      "1.7642709957793206\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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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"
    },
    {
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\" width=\"639.9\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'z [1/nm]')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hkl_max = 11\n",
    "h  = np.linspace(-hkl_max, hkl_max, 2*hkl_max+1)  # all evaluated single Miller Indices\n",
    "l =  np.linspace(-1,2,4)  # all evaluated single Miller Indices \n",
    "hkl  = np.array(list(itertools.product(h,h,l) )) # all evaluated Miller indices\n",
    "\n",
    "g = np.dot(hkl, reciprocal_lattice) # all evaluated reciprocal lattice points\n",
    "print(hkl.shape)\n",
    "print(g[122,2])\n",
    "\n",
    "# Plot 2D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.scatter(g[:,0], g[:,2], c='red', s=100)\n",
    "ax.axis('equal')\n",
    "plt.xlabel('x [1/nm]')\n",
    "plt.ylabel('z [1/nm]') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 2D Plot of Reciprocal Lattice with Ewald Sphere\n",
    "\n",
    "Please zoom in to the reciprocal lattice once you did the calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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"
    },
    {
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "116.43460739869234\n"
     ]
    }
   ],
   "source": [
    "Ewald_Sphere = plt.Circle((0, K0), K0, color='b', fill=False)\n",
    "Ewald_Sphere_CuKa = plt.Circle((0, 1./0.15418), 1./0.15418, color='g', fill=False)\n",
    "\n",
    "# Plot 2D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.scatter(g[:,0], g[:,2], c='red',s=100)\n",
    "ax.scatter(0, K0, c='green',s=100)\n",
    "\n",
    "ax.add_artist(Ewald_Sphere)\n",
    "ax.add_artist(Ewald_Sphere_CuKa)\n",
    "\n",
    "ax.axis('equal')\n",
    "plt.xlabel('x [1/nm]')\n",
    "plt.ylabel('z [1/nm]')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 2D Plot of Reciprocal Lattice with Excitation Error\n",
    "\n",
    "Here we define the excitation error.\n",
    "With the wave vector coming in parallel to a zone axis, the Ewald sphere should not cut any point in reciprocal space.\n",
    "That is why we do $\\theta - 2\\theta$ scans in X-ray diffraction experiments.\n",
    "\n",
    "Hwever the dimensions of a TEM specimen are rather small, for a minimum the thickness paralllel to the beam has to be in the nanometer range (<200nm). This leads to the effect that the reciprocal lattice spots now are 3 dimensional objects refleting the specimen geometry in reciprocal space. The spots are theFourier transfrom of the specimen geometry. A normal specimen is a thin disk perpendicular to the beam and in reciprocal space it is a thin rod parallel to the wave vector.\n",
    "\n",
    "Therefore we can excite Bragg reflections even though we not exactly cut the reflection spot with the Ewald sphere. Theis deviation is called excitation error and is expressed as a vector.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2116\n",
      "[17.64270996 10.58562597  0.        ]\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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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=\"639.9\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-1, 3)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ewald_Sphere = plt.Circle((0, K0), K0, color='b', fill=False)\n",
    "print(len(g))\n",
    "print(g[2001,:])\n",
    "# Plot 2D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.scatter(g[:,0], g[:,2], c='red',s=100)\n",
    "ax.scatter(0, K0, c='green',s=100)\n",
    "\n",
    "ax.add_artist(Ewald_Sphere)\n",
    "\n",
    "ax.quiver([0,0,0,g[2001,0]],[K0,K0,0,0],[0,g[2001,0],g[2001,0],0],[-K0, -K0+0.44,0,0.44], units='xy', scale =1, width = .05)\n",
    "\n",
    "plt.text(19.1,.1,r'$\\vec{S_g}$', size=20)\n",
    "plt.text(17,-.3,r'$\\vec{g}_{ZOLZ}$', size=20)\n",
    "plt.text(18.5,2.1,r'$\\vec{K_g}$', size=20)\n",
    "plt.text(.1,10,r'$\\vec{K_0}$', size=20)\n",
    "\n",
    "\n",
    "ax.axis('equal')\n",
    "plt.xlabel('x [1/nm]')\n",
    "plt.ylabel('z [1/nm]')\n",
    "plt.xlim(16,20)\n",
    "plt.ylim(-1,3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 2D Plot of Reciprocal Lattice with Excitation Error\n",
    "The same plot as above but a little zoomed out will show also the incident wave vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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 / mpl.ratio, fig.canvas.height / mpl.ratio);\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=\"639.9\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-3, 17)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ewald_Sphere = plt.Circle((0, K0), K0, color='b', fill=False)\n",
    "\n",
    "# Plot 2D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "ax.scatter(g[:,0], g[:,2], c='red',s=100)\n",
    "ax.scatter(0, K0, c='green',s=100)\n",
    "\n",
    "ax.add_artist(Ewald_Sphere)\n",
    "ax.quiver([0,0,0,g[2001,0]],[K0,K0,0,0],[0,g[2001,0],g[2001,0],0],[-K0, -K0+0.44,0,0.44], units='xy', scale =1, width = .1)\n",
    "\n",
    "plt.text(19.5,-.3,r'$\\vec{S_g}$', size=20)\n",
    "plt.text(10,-1,r'$\\vec{g}_{ZOLZ}$', size=20)\n",
    "plt.text(17.1,10,r'$\\vec{K_g}$', size=20)\n",
    "plt.text(.1,10,r'$\\vec{K_0}$', size=20)\n",
    "\n",
    "\n",
    "ax.axis('equal')\n",
    "plt.xlabel('x [1/nm]')\n",
    "plt.ylabel('z [1/nm]')\n",
    "plt.xlim(0,20)\n",
    "plt.ylim(-3,17)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Center of Ewald Shere\n",
    "So far we have considered the incident wave vector to be parallel to the Z-axis. \n",
    "However, we need to know the center of the Ewald sphere for any zone axis.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The inner potential is 9.7kV\n",
      "Center of Ewald sphere  [107.84914551 107.84914551   0.        ]\n"
     ]
    }
   ],
   "source": [
    "# INPUT\n",
    "zone_hkl = np.array([1,1,0])\n",
    "\n",
    "U0 = 0\n",
    "for i in range(len(tags['elements'])):\n",
    "    a = tags['elements'][i]\n",
    "    U0 += ks.feq(a,0)*0.023933754\n",
    "\n",
    "volume =  np.linalg.det(tags['unit_cell'])*1000. # Needs to be in Angstrom for form factors\n",
    "AngstromConversion = 1.0e10 # So [1A (in m)] * AngstromConversion = 1\n",
    "NanometerConversion = 1.0e9 \n",
    "\n",
    "ScattFacToVolts=(const.h**2)*(AngstromConversion**2)/(2*np.pi*const.m_e*const.e)*volume\n",
    "U0=U0*ScattFacToVolts\n",
    "print('The inner potential is {0:.1f}kV'.format(U0/1000))\n",
    "\n",
    "incident_wave_vector_vacuum = 1/wave_length_nm\n",
    "K0 = incident_wave_vector = np.sqrt(1/wave_length_nm**2 + U0 )#1/nm\n",
    "\n",
    "cent = np.dot(zone_hkl,reciprocal_lattice)\n",
    "cent = cent /np.linalg.norm(cent)* incident_wave_vector\n",
    " \n",
    "normal = zone_hkl/ np.linalg.norm(zone_hkl)\n",
    "print('Center of Ewald sphere ',cent)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Possible Reflections\n",
    "must be within the excitation error to the Ewald sphere.\n",
    "\n",
    "Find all Miller indices whose reciprocal point lays near the Ewald sphere with radius $K_0$  within a maximum excitation error $S_g$\n",
    "\n",
    "with $S_g \\approx (K_0^2 -|\\vec{K_0}+\\vec{g}|^2)/ 2K_0$\n",
    "\n",
    "First we produce all Miller indices up to a maximum value of \"hkl_max\" and then we check whether they fullfil above condition.\n",
    "\n",
    "Please change \"hkl_max\" and the maximum excitation error \"Sg_max\" and see what happens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1053, 3)\n",
      "Of the 132651 tested reciprocal lattice points, 1053 have an excitation error less than 0.30 1/nm\n"
     ]
    }
   ],
   "source": [
    "# INPUT \n",
    "hkl_max = 25#  maximum allowed Miller index\n",
    "Sg_max = .3 # 1/nm  maximum allowed excitation error\n",
    "\n",
    "h  = np.linspace(-hkl_max,hkl_max,2*hkl_max+1)   # all evaluated single Miller Indices\n",
    "hkl  = np.array(list(itertools.product(h,h,h) )) # all evaluated Miller indices\n",
    "g = np.dot(hkl,reciprocal_lattice)               # all evaluated reciprocal lattice points\n",
    "\n",
    "# Calculate exitation errors for all reciprocal lattice points\n",
    "S = []\n",
    "for i  in range(len(g)):\n",
    "    ## Zuo and Spence, 'Adv TEM', 2017 -- Eq 3:14\n",
    "    S.append(float((K0**2-np.linalg.norm(g[i] - cent)**2)/(2*K0)))\n",
    "S = np.array(S)\n",
    "\n",
    "# Determine reciprocal lattice points with excitation error less than the maximum allowed one: Sg_max\n",
    "reflections = abs(S)< Sg_max\n",
    "\n",
    "Sg = S[reflections]\n",
    "g_hkl =g[reflections]\n",
    "print(g_hkl.shape)\n",
    "hkl = hkl[reflections]\n",
    " \n",
    "print ('Of the {0} tested reciprocal lattice points, {1} have an excitation error less than {2:.2f} 1/nm'.format( len(g) , len(g_hkl), Sg_max))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "The scattering geometry provides all the tools to determine which reciprocal lattice points are possible and which of them are allowed.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Back: [Analyzing Ring Diffraction Pattern](CH2-Diffraction-Rings.ipynb)\n",
    "## Next: [Plotting of Diffraction Pattern](CH2-Plotting_Diffraction_Pattern.ipynb)\n",
    "## Chapter 2: [Diffraction](CH2-_Diffraction.ipynb)\n",
    "## List of Content: [Front](_Analysis_of_Transmission_Electron_Microscope_Data.ipynb)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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