{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "<font size = \"5\"> **Chapter 2: [Diffraction](CH2_00-Diffraction.ipynb)** </font>\n",
    "\n",
    "<hr style=\"height:1px;border-top:4px solid #FF8200\" />\n",
    "\n",
    "# HOLZ Lines\n",
    "\n",
    "[Download](https://raw.githubusercontent.com/gduscher/MSE672-Introduction-to-TEM//main/Diffraction/CH2_11-HOLZ_Lines.ipynb)\n",
    " \n",
    "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](\n",
    "    https://colab.research.google.com/github/gduscher/MSE672-Introduction-to-TEM/blob/main/Diffraction/CH2_11-HOLZ_Lines.ipynb)\n",
    "\n",
    "\n",
    "part of \n",
    "\n",
    "<font size = \"5\"> **[MSE672:  Introduction to Transmission Electron Microscopy](../_MSE672_Intro_TEM.ipynb)**</font>\n",
    "\n",
    "\n",
    "**Spring 2024**\n",
    "<table style=\"margin-right:auto;margin-left:0px\">\n",
    "  <tr>\n",
    "    <td>Gerd Duscher </td>\n",
    "    <td>Khalid Hattar</td>\n",
    "  </tr>\n",
    "  <tr>\n",
    "    <td>Microscopy Facilities</td> \n",
    "    <td> Tennessee Ion Beam Materials Laboratory </td>\n",
    "  </tr>\n",
    "  \n",
    "  <tr>\n",
    "    <td>Materials Science & Engineering</td>\n",
    "    <td> Nuclear Engineering</td>\n",
    "  </tr>\n",
    "  <tr>\n",
    "    <td>Institute of Advanced Materials & Manufacturing</td>\n",
    "    <td> </td>\n",
    "  </tr>\n",
    "  <tr>\n",
    "    <td colspan=\"2\"><center> The University of Tennessee, Knoxville</center> </td>\n",
    "  </tr>\n",
    "</table>\n",
    "\n",
    "Background and methods to analysis and quantification of data acquired with transmission electron microscopes\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load relevant python packages\n",
    "### Check Installed Packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "installing pyTEMlib\n",
      "done\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "import importlib.metadata\n",
    "def test_package(package_name):\n",
    "    \"\"\"Test if package exists and returns version or -1\"\"\"\n",
    "    try:\n",
    "        version = importlib.metadata.version(package_name)\n",
    "    except importlib.metadata.PackageNotFoundError:\n",
    "        version = '-1'\n",
    "    return version\n",
    "\n",
    "if test_package('pyTEMlib') < '0.2024.1.0':\n",
    "    print('installing pyTEMlib')\n",
    "    !{sys.executable} -m pip install git+https://github.com/pycroscopy/pyTEMlib.git@main -q --upgrade\n",
    "\n",
    "if 'google.colab' in sys.modules:\n",
    "    !{sys.executable} -m pip install numpy==1.24.4\n",
    "print('done')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Import numerical and plotting python packages\n",
    "Import the python packages that we will use:\n",
    "\n",
    "Beside the basic numerical (numpy) and plotting (pylab of matplotlib) libraries,\n",
    "\n",
    "and some libraries from the book\n",
    "* kinematic scattering library.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "You don't have igor2 installed.     If you wish to open igor files, you will need to install it     (pip install igor2) before attempting.\n",
      "You don't have gwyfile installed.     If you wish to open .gwy files, you will need to      install it (pip install gwyfile) before attempting.\n",
      "Symmetry functions of spglib enabled\n",
      "Using kinematic_scattering library version {_version_ }  by G.Duscher\n",
      "pyTEM version:  0.2024.01.1\n",
      "notebook version:  2024.02.21\n"
     ]
    }
   ],
   "source": [
    "%matplotlib  widget\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import sys\n",
    "if 'google.colab' in sys.modules:\n",
    "    from google.colab import output\n",
    "    output.enable_custom_widget_manager()\n",
    "    \n",
    "# additional package \n",
    "import  itertools \n",
    "import scipy.constants as const\n",
    "\n",
    "import ipywidgets as ipyw\n",
    "\n",
    "# Import libraries from pyTEMlib\n",
    "import pyTEMlib\n",
    "import pyTEMlib.kinematic_scattering as ks         # Kinematic scattering Library\n",
    "                             # Atomic form factors from Kirklands book\n",
    "\n",
    "### And we use the image tool library of Quantifit\n",
    "import pyTEMlib.file_tools as ft\n",
    "import pyTEMlib\n",
    "\n",
    "__notebook_version__ = '2024.02.21'\n",
    "\n",
    "print('pyTEM version: ', pyTEMlib.__version__)\n",
    "print('notebook version: ', __notebook_version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "\n",
    "## Define  crystal\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Lattice(symbols='Si8', pbc=True, cell=[5.43088, 5.43088, 5.43088])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### Please choose another crystal like: Silicon, Aluminium, GaAs , ZnO\n",
    "atoms = ks.structure_by_name('silicon')\n",
    "atoms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Plot the unit cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6a6293ce070146b18afe70ce0a8e7026",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ase.visualize.plot import plot_atoms\n",
    "\n",
    "plot_atoms(atoms, radii=0.3, rotation=('0x,4y,0z'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "\n",
    "## Parameters for Diffraction Calculation\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "tags = {}\n",
    "atoms.info['experimental'] = tags\n",
    "\n",
    "tags['acceleration_voltage_V'] = 99 *1000.0 #V\n",
    "\n",
    "tags['convergence_angle_mrad'] = 0\n",
    "\n",
    "tags['zone_hkl'] = np.array([2,2,1])  # incident neares zone axis: defines Laue Zones!!!!\n",
    "tags['mistilt']  = np.array([0,0,0])  # mistilt in degrees\n",
    "\n",
    "tags['Sg_max'] = .01 # 1/Ang  maximum allowed excitation error ; This parameter is related to the thickness\n",
    "tags['hkl_max'] = 36   # Highest evaluated Miller indices\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Kinematic Scattering Calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "ks.kinematic_scattering(atoms, False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot Selected Area Electron Diffraction Pattern"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "07ad5ed059a046b38d26f573ed3ef9c9",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################\n",
    "# Plot ZOLZ SAED Pattern #\n",
    "#####################\n",
    "\n",
    "## Get information as dictionary\n",
    "tagsD = atoms.info['diffraction']\n",
    "\n",
    "#We plot only the allowed diffraction spots\n",
    "points = tagsD['allowed']['g']\n",
    "# we sort them by order of Laue zone\n",
    "ZOLZ = tagsD['allowed']['ZOLZ']\n",
    "HOLZ = tagsD['allowed']['HOLZ']\n",
    "\n",
    "# Plot\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "# We plot the x,y axis only; the z -direction is set to zero - this is our projection\n",
    "ax.scatter(points[ZOLZ,0], points[ZOLZ,1], c='red', s=20)\n",
    "ax.scatter(points[HOLZ,0], points[HOLZ,1], c='green', s=20)\n",
    "\n",
    "# zero spot plotting\n",
    "ax.scatter(0,0, c='red', s=100)\n",
    "ax.scatter(0,0, c='white', s=40)\n",
    "\n",
    "ax.axis('equal')\n",
    "FOV = 18\n",
    "plt.ylim(-FOV,FOV); plt.xlim(-FOV,FOV); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2435ba9f7a5b4de78673a524612766f9",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pyTEMlib.animation  as animate\n",
    "\n",
    "plt.figure()\n",
    "animate.deficient_holz_line(exact_bragg=False, laue_zone=1)\n",
    "#animate.deficient_holz_line(exact_bragg='True', laue_zone=1, color='blue')\n",
    "animate.deficient_holz_line(exact_bragg='True', laue_zone=1, color='red', shift=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HOLZ Line Construction\n",
    "\n",
    "\n",
    "Position of deficient HOLZ line\n",
    "\n",
    "### What is $d\\theta$:\n",
    "\\begin{eqnarray*}\t\t\n",
    "    d\\theta &+&(90-\\theta_B)+ \\varphi =  90\\\\\n",
    "    d\\theta  &=&  \\theta_B -\\varphi\\\\\n",
    "    &&\\\\\n",
    "    \\sin(\\theta_B) &=&|\\vec{g}/2|/ |\\vec{K}_0| \\\\\n",
    "    \\tan(\\phi) &=& |\\vec{g}_{HOLZ}|/|\\vec{g}-\\vec{g}_{HOLZ}|\\\\\n",
    "    &&\\\\\n",
    "    |\\vec{g}_{deficient}| &=& 2\\sin(  d\\theta/ 2 )* |\\vec{K}_0|\\\\\n",
    "\\end{eqnarray*}\n",
    "        \n",
    "        \n",
    ">For exact Bragg position in ZOLZ \n",
    ">\n",
    ">$d\\theta = \\theta_B$  then $\\vec{g}_{deficient} = -\\vec{g}/2   $\n",
    "            \n",
    "            \n",
    "$d\\theta = \\theta - \\varphi$\n",
    "\n",
    "with:\n",
    "\n",
    "$\\sin(\\theta) =\\frac{|\\vec{g}|/2}{|\\vec{K}_0| }$\n",
    "\n",
    "$\\sin(\\varphi) = \\frac{|\\vec{g}_{\\rm HOLZ}|}{|\\vec{g}|}$\n",
    "\n",
    "Because $d\\theta$ is the same as $d \\varphi$ we can now calculate the deficient HOLZ lines\n",
    "\n",
    "\\begin{eqnarray*}\n",
    "\t\t\t\t\\vec{K}_{Bg} &=& ( (\\vec{g}-\\vec{g}_{HOLZ})/ |\\vec{g}-\\vec{g}_{HOLZ}|*|\\vec{g}_{HOLZ}| \\\\\n",
    "\t\t\t\t&& + \\vec{K}_{0}/|\\vec{K}_{0}|*|\\vec{g}-\\vec{g}_{HOLZ}|)\\\\\n",
    "\t\t\t\t\\vec{K}_{Bg} &=&(\\vec{g}_{ZOLZ}/|\\vec{g}_{ZOLZ}|*|\\vec{g}_{HOLZ}|) \\\\\n",
    "\t\t\t\t&+&\\vec{K}_{0}/|\\vec{K}_{0}|*|\\vec{g}-\\vec{g}_{HOLZ}|)\\\\\n",
    "\t\t\t\t\\vec{K}_{B} &=&\t\\vec{K}_{bg}/|\\vec{K}_{Bg}|*\\sqrt{|\\lambda^2-g^2/4)}\\\\\n",
    "\t\t\t\t\\vec{K}_d &=& -(\\vec{g}/2+\\vec{K}_B)\\\\\n",
    "\t\t\t\t\\vec{g}_{deficient} &=& \\vec{K}_{0}-\\vec{K}_{d}\\\\\n",
    "\\end{eqnarray*}\n",
    "\n",
    ">For exact Bragg position in ZOLZ \n",
    ">$\\vec{B}=\\vec{K}_{0}$  then $\\vec{g}_{deficient} = \\vec{g}/2$\n",
    ">\t\t\t\n",
    ">\tThis is our Kikuchi line equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "angles must be a list of float of length 3",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[10], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mks\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mget_rotation_matrix\u001b[49m\u001b[43m(\u001b[49m\u001b[43matoms\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43minfo\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mexperimental\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[1;32m~\\AppData\\Local\\anaconda3\\envs\\py11\\Lib\\site-packages\\pyTEMlib\\kinematic_scattering.py:168\u001b[0m, in \u001b[0;36mget_rotation_matrix\u001b[1;34m(angles, in_radians)\u001b[0m\n\u001b[0;32m    152\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\" Rotation of zone axis by mistilt\u001b[39;00m\n\u001b[0;32m    153\u001b[0m \n\u001b[0;32m    154\u001b[0m \u001b[38;5;124;03m    Parameters\u001b[39;00m\n\u001b[1;32m   (...)\u001b[0m\n\u001b[0;32m    164\u001b[0m \u001b[38;5;124;03m        rotation matrix in 3d\u001b[39;00m\n\u001b[0;32m    165\u001b[0m \u001b[38;5;124;03m    \"\"\"\u001b[39;00m\n\u001b[0;32m    167\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(angles, (np\u001b[38;5;241m.\u001b[39mndarray, \u001b[38;5;28mlist\u001b[39m)):\n\u001b[1;32m--> 168\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mangles must be a list of float of length 3\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m    169\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(angles) \u001b[38;5;241m!=\u001b[39m \u001b[38;5;241m3\u001b[39m:\n\u001b[0;32m    170\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mangles must be a list of float of length 3\u001b[39m\u001b[38;5;124m'\u001b[39m)\n",
      "\u001b[1;31mTypeError\u001b[0m: angles must be a list of float of length 3"
     ]
    }
   ],
   "source": [
    " ks.get_rotation_matrix(atoms.info['experimental'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Next nearest zone axes are:\n",
      "  [5. 5. 3.]: mistilt:   1.20,   4.40\n",
      "  [5. 5. 2.]: mistilt:  -1.07,  -4.76\n"
     ]
    }
   ],
   "source": [
    "atoms.info['experimental']['nearest_zone_axes']\n",
    "nearest = atoms.info['experimental']['nearest_zone_axes']\n",
    "print('Next nearest zone axes are:')\n",
    "for i in range(1, nearest['amount']):\n",
    "    print(f\"  {nearest[str(i)]['hkl']}: mistilt: {np.rad2deg(nearest[str(i)]['mistilt_alpha']):6.2f}, \"\n",
    "          f\"{np.rad2deg(nearest[str(i)]['mistilt_beta']):6.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Calculate angle between K0 and deficient cone vector\n",
    "#For dynamic calculations K0 is replaced by Kg\n",
    "K0 = np.linalg.norm(atoms.info['experimental']['incident_wave_vector'])\n",
    "g_allowed = atoms.info['diffraction']['allowed']['g']\n",
    "g_norm_allowed = np.linalg.norm(g_allowed, axis = 1)\n",
    "dtheta = np.arcsin(g_norm_allowed/K0/2.)\n",
    "\n",
    "np.arcsin(np.abs(g_allowed[:,2])/g_norm_allowed)\n",
    "\n",
    "#calculate length of distance of deficient cone to K0 in ZOLZ plane\n",
    "\n",
    "gd_length =2*np.sin((dtheta)/2 )*K0\n",
    "\n",
    "#Calculate nearest point of HOLZ and Kikuchi lines\n",
    "\n",
    "gd = g_allowed.copy()\n",
    "\n",
    "gd[:,0] = -gd[:,0]*gd_length/g_norm_allowed\n",
    "\n",
    "gd[:,1] = -gd[:,1]*gd_length/g_norm_allowed\n",
    "\n",
    "gd[:,2] = 0.\n",
    "\n",
    "###calculate and save line in Hough space coordinates (distance and theta)\n",
    "\n",
    "slope = gd[:,0]/(gd[:,1]+1e-20)\n",
    "\n",
    "distance = gd_length\n",
    "\n",
    "theta = np.arctan(slope)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Now everything together in a single cell\n",
    "\n",
    "We change the lattice parameter (Vegard's law of alloys) by a few pm and observe the effect on the pattern.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ef2f43df73274aa9adde8f6f9efc4bc6",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-0.2, 0.2)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# ----- Input -----------\n",
    "unit_cell_change_pm = -1.0\n",
    "# -----------------------\n",
    "\n",
    "atoms = ks.structure_by_name('silicon')\n",
    "cell = atoms.cell.lengths()\n",
    "atoms.set_cell(cell+unit_cell_change_pm/100, scale_atoms=True)\n",
    "atoms\n",
    "\n",
    "atoms.info['experimental'] = {'crystal_name': 'silicon',\n",
    "                              'acceleration_voltage_V': 100.8*1000.0, #V\n",
    "                              'convergence_angle_mrad': 5.,\n",
    "                              'Sg_max': .03,   # 1/Ang  maximum allowed excitation error ; This parameter is related to the thickness\n",
    "                              'hkl_max': 14,   # Highest evaluated Miller indices\n",
    "                              'zone_hkl': np.array([1, 2, -2]),  \n",
    "                              'mistilt_alpha degree': 0.,  # -45#-35-0.28-1+2.42\n",
    "                              'mistilt_beta degree': 0.,\n",
    "                              'plot_FOV': .5}\n",
    "\n",
    "ks.kinematic_scattering(atoms)\n",
    "atoms.info['output']=(ks.plotHOLZ_parameter())\n",
    "atoms.info['output']['plot_reflections']=False\n",
    "atoms.info['output']['plot_Kikuchi']=False\n",
    "atoms.info['output']['linewidth_HOLZ'] = -1\n",
    "atoms.info['output']['plot_HOLZ']=True\n",
    "\n",
    "\n",
    "ks.plot_diffraction_pattern(atoms)\n",
    "\n",
    "\n",
    "plt.gca().set_xlim(-.2,.2)\n",
    "plt.gca().set_ylim(-.2,.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Atoms(symbols='C4', pbc=False, cell=[[2.46772414, 0.0, 0.0], [-1.2338620699999996, 2.1371117947721068, 0.0], [0.0, 0.0, 6.711]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "atoms = ks.structure_by_name('graphite')\n",
    "atoms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Now for graphite and low acceleration voltages.\n",
    "Change the acceleration voltage and see what happens.\n",
    "> Tip: 60.49keV  is especially interesting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c2a95e60bc3c4bb3a2fd4016704bd7e5",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-0.17, 0.17)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### Please choose another crystal like: Silicon, Aluminium, GaAs , ZnO\n",
    "\n",
    "# ----- Input -----------\n",
    "crystal_name = 'graphite'\n",
    "acceleration_voltage_V =  60.49 * 1000.0\n",
    "# -----------------------\n",
    "\n",
    "atoms = ks.structure_by_name(crystal_name)\n",
    "\n",
    "atoms.info['experimental'] = {'crystal_name': crystal_name,\n",
    "                              'acceleration_voltage_V': acceleration_voltage_V, #V\n",
    "                              'convergence_angle_mrad': 7.,\n",
    "                              'Sg_max': .03,   # 1/Ang  maximum allowed excitation error ; This parameter is related to the thickness\n",
    "                              'hkl_max': 9,   # Highest evaluated Miller indices\n",
    "                              'zone_hkl': np.array([0, 0, 1]),  \n",
    "                              'mistilt_alpha degree': .0,  # -45#-35-0.28-1+2.42\n",
    "                              'mistilt_beta degree': 0.,\n",
    "                              'plot_FOV': .5}\n",
    "\n",
    "ks.kinematic_scattering(atoms, verbose=False)\n",
    "atoms.info['output']=(ks.plotHOLZ_parameter())\n",
    "atoms.info['output']['plot_reflections']=True\n",
    "atoms.info['output']['plot_Kikuchi']=False\n",
    "atoms.info['output']['linewidth_HOLZ'] = 1\n",
    "atoms.info['output']['plot_HOLZ']=True\n",
    "\n",
    "\n",
    "ks.plot_diffraction_pattern(atoms)\n",
    "\n",
    "plt.title(crystal_name + ': ' + str(atoms.info['experimental']['zone_hkl']))\n",
    "plt.gca().set_xlim(-.17,.17)\n",
    "plt.gca().set_ylim(-.17,.17)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Navigation\n",
    "\n",
    "- <font size = \"3\">  **Back: [Kikuchi Lines](CH2_10-Kikuchi_Lines.ipynb)** </font>\n",
    "- <font size = \"3\">  **Next: [Lattice Determination with HOLZ](CH2_12-HOLZ_Example.ipynb)** </font>\n",
    "- <font size = \"3\">  **Chapter 2: [Diffraction](CH2_00-Diffraction.ipynb)** </font>\n",
    "- <font size = \"3\">  **List of Content: [Front](../_MSE672_Intro_TEM.ipynb)** </font>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
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