{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction\n",
    "\n",
    "This notebook shows how to plot an XRD plot for the two polymorphs of CsCl ($Pm\\overline{3}m$ and $Fm\\overline{3}m$). You can also use matgenie.py's diffraction command to plot an XRD pattern from a structure file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Uncomment the subsequent lines in this cell to install dependencies for Google Colab.\n",
    "# !pip install pymatgen==2022.2.27"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set up some imports that we will need\n",
    "from IPython.display import Image, display\n",
    "from pymatgen.analysis.diffraction.xrd import XRDCalculator\n",
    "from pymatgen.core import Lattice, Structure\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# $\\alpha$-CsCl ($Pm\\overline{3}m$)\n",
    "\n",
    "Let's start with the typical $\\alpha$ form of CsCl."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create CsCl structure\n",
    "a = 4.209  # Angstrom\n",
    "latt = Lattice.cubic(a)\n",
    "structure = Structure(latt, [\"Cs\", \"Cl\"], [[0, 0, 0], [0.5, 0.5, 0.5]])\n",
    "\n",
    "c = XRDCalculator()\n",
    "c.show_plot(structure)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare it with the experimental XRD pattern below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image(filename=(\"./PDF - alpha CsCl.png\")))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# $\\beta$-CsCl ($Fm\\overline{3}m$)\n",
    "\n",
    "Let's now look at the $\\beta$ (high-temperature) form of CsCl."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create CsCl structure\n",
    "a = 6.923  # Angstrom\n",
    "latt = Lattice.cubic(a)\n",
    "structure = Structure(\n",
    "    latt,\n",
    "    [\"Cs\", \"Cs\", \"Cs\", \"Cs\", \"Cl\", \"Cl\", \"Cl\", \"Cl\"],\n",
    "    [\n",
    "        [0, 0, 0],\n",
    "        [0.5, 0.5, 0],\n",
    "        [0, 0.5, 0.5],\n",
    "        [0.5, 0, 0.5],\n",
    "        [0.5, 0.5, 0.5],\n",
    "        [0, 0, 0.5],\n",
    "        [0, 0.5, 0],\n",
    "        [0.5, 0, 0],\n",
    "    ],\n",
    ")\n",
    "\n",
    "c.show_plot(structure)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare it with the experimental XRD pattern below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABvIAAAU2CAAAAABi934+AAAACXBIWXMAAB7DAAAewwG8l5faAAAgAElEQVR4nO3dV5qjPLcGUOk8PdmvB9T/cHUunDDJYCSC91oXFWSM5VC8pQS5JACI4P+OrgAA7EPkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyOMp5995lFZW1f6aT/WatYZF/hxdAS7kfiwsKaW87OSs/XtMH00ft5SxjZ6F/Uftlo5vMbLhWGnn4fsVKL3NF9onOD6/LNP3Su9PPc2/Qd/VbFiN6cce26pT3vvITT3H3C/NwzfQmYXjEnmklFJ+HgXyXGh0s2XJTgf3KHN3Lm8b9Q5U0/csna0m6//p7m9RV96qnnsVW2jVxl/7+LLM3at0fimf9vdlzQbVGHnsqbesq1+t27uS+2/34O1/u9/IPzQEo2OTm/z2bfT28jgsLm7hrbzHUxn7bWQfnWN1LqXMPsz83Sc3LqPNzhNZ9bze7lV6v9fWf4zR8qmN3g06W+/R1ntzcu59BHTS0iPyWCS/HZiWHCDX32PZTidueDXWZo5yXx0Az555aWv9cpvEq6ifZK/GXPfNGTT5hvcjPJFHSimVew9TnmgprT8q1jyOTu3oNUrz/GnNYy4cj7yc1c/r9MEwNdL3dtPIJ+7sz4v9iTxuSsnTB8vB0eTjsWT9PRaYbm8t2vsFmmtf2fi8fif5f+aJ0I7I46Fc7Zix8Vj9O4f6dyuf1/Vfhtz5CvPM2OQm379MHAAnuoxmZn1X62TqHJNL/nSEnu1P/Xz3VfW67XNQND5l8DFZsHRml4xMTB101C3pIF74vEZ3NX7HWjXbz7lqw2mJPFK6H+JyKiNTANLsNM6J+SJH/cvd4sA3sc98O+y/rfrql6R0m4ffXapx/1peP4zeu7Nxy3bYdOIdXbPVzlQXTkvHJndfHDFeM8Ub6i+sek3QG8vm+ZkYH+4++vCTiTfY4WPCfe5v2V2qkdN9htDjh7fVIa97325722TaF8/rtu1E4tWrWRtjL3JK+eaQGnEVWnncPA7L3xwxvrrTJ6v3+aFr9usKLNzfVH0Hjb7U6Yn88MqVz5usMHgiUxOWFjxs3ZpVke//SUyeTAFEHjdl5KclGvZsvbrV3kqfHWyDh360OubqNHP3iQpMHUInRy97QbD0Fdr2Qq55Xk95bpJuZ9/fV2vmsbfd/fl8B8sVyrBrGV5EHpvk5l2bq9oS9c/yVWbbDXnkp/cJLSv/hVi19UYlLcu8lFL1mvXnxqy/f77PFdKoYw1jeTytXpFcUkoHDJ58mjnxoUJrJ15MbpknhsLeHmvFq7Ngf/OPlVZH7MLxuI01a6LczjA3rP1woA+etPIYtWwgq9zHz745Hi4eKuuNhX04nL1uH32Ab8afxtcALB01XBoW20Yhvx1XW9LOM/+f36GVx2fT/zeX7vT7RfeoYXl3XIu7P3eyYB/LZzVWyJWvntfnGp468U5dOU5IK49Ri48j5dsI+fZItbg9M/4ADSdAbny4zRNYvr/jh7fvvKHyTLyTzR7ltLTyWGCi0dY9sciye1QyP7T08QhdYWRq5uV4v3HhC1HlxfrueX1o5505S97aeGeuKKch8liif+B+n7OyJPPqzXKZP6wvWba90qLOs+7a7f7WuxyMv0/xA9eUb9N9Y95HbPevCxch8ljkPcHeT6G15h71qvOmO2904RDbZjmNngOkX7Y4UEb219/i035GnlfnlZm9+6fbNtZs0cTelbN/+/+KPM8WI/GYJPJYpryOa51rT+f716l23vAei4weY58T/svodvk+SX96Cd3s3YcV6Ox3uM/7+ozyfODbNjkPT1K6KPOG+/tUr1fR8ueVZzaZetQtNZvuAM6fNvok597Z5Z6XfJR4zDjfchtOazDrP5f8XvD5Hr3f3zZ9z9HeZt17Pk400tnu05KHD3d/r8NIO21Y+/wMs/fbS3/jJT8M9/e4aWSTVc/r/XUtabjJW/t45mG/q9lgg/HHnq7rcF/jj/fcbO5+0/clCJHHOZzhQHSGOsw77yUCK++64Vtx/neZhnRsAhCEyIPLCNPIg0ZEHlzFxpUEDRciXHKNAxH554xz+DT/5Lcfnp4274d3GZEHQBA6NgEIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AATxp+neJy5d9XaNlcUlALBF07OvzF3UKg0vQzZbAgDbtGzlTZ9qdnid6CUlALBBy1ZeTmOttPy6OvKKHwBgo4bTV8QVAGfSLvImp648isu933JJCQBs1Wwsr1kb729K6V+bXQPwy1qN5d0ma47kXu5OyyxLS27+tqkrAD9mvGXUbsZmy4E8rTwApk20kBqN5Zm6AsDZtIk8iQfA6TTp2Gw1y/JfSgb0APhSq7G8/PquwQfAGbiSAgBBNGnljS8xuN+Wc+9kYktKAGArrTwAgtg/8u7nEMuDs4rNlgDARm0vEfvyFl63uS0lrSsBgC0O6Ngs9wG7dSUAsE3bVt4rskoeLV5TAgBbmL4CQBAiD4Ag9oq8VhcpAoCF9oo8iQfAwXRsAhCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARDEn0b7zSmllMrUDXelX1betxu5PwB8p1Hk5ce3L0Nr6/0BoK9N5OVbAy2P3NRtx5WR0reisR0AwFeajOXdEy+VMhNaufNTP/FyKrcdCD0Aamk0fWVRf6ROSwB2dNiMzblhutdtmnkA1NJkLG9B8y2P/KrVB0BDrRYp3Mw15crbdp+2Timl9LdClQCIql3kzTbccu/ncvsha+gB0Erjsbw8ORRXhr/IOwAaatfKm1tXN3YKlpRSyZp5ALTSdiyvTPZVfhVt/1IyoAfAl9osRX+24jTaADiLQ9blOXUmAPs7wcWDhlNcXgvQhSMAtTSJvG5kLSHgAGivVSvvsbj84yXzUiqdrZ9FOaWUsgwEoJo2MzZLfuTXI7Lew6t82DrNXGMWAL7S9koKZVlkDbcuFqcDUFmrdXn9sCp5+rbJK8QCQD0nmLEJAHsQeQAEsVfkOXkmAAfbK/IkHgAH07EJQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARDEn6MrAC85ubQi0I5WHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBB/Gm035xSSqlM3/R+cx5sPSwBgC0aRV5+fFsUWsOt190fAD5rE3n51kDLEzeP5Nhw87kdAMBqTcby7omXShkJrWHLLady2/y59bAEADZqNH1FfyQAZ3OCGZuvZt+jUTcsAYCtmozlfWrjmY0JwP5aLVK4GZ9x2W/KLfZ3a30ACKxd5E005fKjNKesoceQjwXQSuOxvDw2FFc6XwFgJ+1aeRPr6l5JV/La/+f/paR3E4AvtW3lFavJATiLNkvRnzmn9xKAszjBujwA2MPukTec0PJ2nrGJEgDYqknkdSNrSJwBcIRWrbzHcvNBrJXObc+inFJKeXCesSwVAaimzSKFkh+J9oisTpwNbktjV5SducYsAHyh7ZUUylhkDW8rg8XpwxIA2KbVUvRBf2aevm20SNoBUJdFCgAEIfIACGKvyHN6fAAOtlfkSTwADqZjE4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4Ag/jTab04ppVSW3ZifP/XKJu4PAOs1irz8+DYSWo+AyzOBNnd/APhGm8jLtwZanrkt5W7mjSTb5A4A4BtNxvIeqVbKaGiVx9fJtlxO5bYDoQdALY2mr0z3R77yTZ8lAHs65YzNbixq5oXjLQcaaTKWt779Zn4mAK21WqRwMzLjcjTX8tTW7/5WqBIAUbWLvI8Nt9z5PpzDCQB1NR7Ly5PjMjl3ArF0vgJAE+1aebPr6rpNwM7qvDzfzPuXkt5NAL7UtpVXxlMv55TuK+8AYCdtlqI/c25ysorAA2BnbWdsjspG7QA4wP5L0QeJN5ziUjqzOaUjAHU0ibzytgDh3VgbT8AB0F6rVt5jcflIiPVLSmfrZ1FOKaUsAwGops1YXsmP/HpEVie8Oi2/MrH1cyuJB0Atba+ksHBe5nDrYnE6AJW1mrE56L3MEzdMFUo7AOo65cWDAKA+kQdAEHtFnmskAHCwvSJP4gFwMB2bAAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AATxp9F+c0oppTJzY1lbAgBbNIq8/Pg2ElrD25aUAMA2bSIv3xpoeer24Y1LSgBggyZjeffES6WMhFZO5Xbj87YlJQCwUaPpK/ojATib3WdsvobnHk24JSUAsFWTsTxtPADOp9UihZvKMy7/1twZAMG0izwL6wA4lcZjedlQHAAn0a6V12Bd3b+U9G4C8KW2rbxiNTkAZ9FmKfoz54zlAXAWrqQAQBC7R97bWcUWlwDAVk0irxtZAHAOrVp5jzOHDVtp9zzMg7OKzZYAwEZtFimU/GjfPSLrLbyG149dUgIAW7S9kkIZi6xSupssLQGAbVotRe+HVckzNy4rAYAtLFIAIAiRB0AQe0Ve1lEJwLH2ijyJB8DBdGxyHs5cADQl8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBB/Dm6AvCbckqpHF0J4I1WHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBB/Gm145xSSqlMlN+Vfll53254dwD4UqPIe4RY/jK08uOb0AOgkjaRl+8NtDzMvG47royUvhXlYTEAfKfVWF55fJ1Mrdz5qZ94OZVyu7/QA6CSJpH3yrDZfkmdlgDs6LAZm3PDdN3I1MwDoI5mMzY/yCO/avUB0FCTyFuUXd2N8v3rhzv+/bZCANC6lTfVLZl7P0/N7wSAWpqO5eU83eIrw1/kHQANNWzlzYzPjZ2CJaVU8nwz719KejcB+FLbE45NB5gWHQA7axV5zwE6ADiHdufYnAk8p84EYH9tpq/MJ15/48G0ztcCdOEIQC2NTji2LqkEHADtNVqkMBtdvVZdeS1FfxXllFLKMhCAahpfLy890u89vN6DrOTH9p3yqUvMAsB3DjutdNc92EpnhZ7F6QBUttc5Nsug3ffpDhXrAwAnaeUBQHsiD4Ag9oo810gA4GB7RZ7EA+BgOjYBCELkQTNTl0gGjiHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACC+NNqxzmllFKZvOX91jzYeFgCAFs0irxHrOVFoZUf38p0CQBs0yby8r2Blsczb6SspG7zb7wEADZoNZZXHl8HqTVsueVUym3rPFkCABs1ibxXqumXBOAsTjBjsxuQeaIEALZqNmNzzrezMf/WrggAgTSJvA9p1m/KAcAOGrfyht2SOc3P5gSANpqO5eU8uSDBzBYAdtawlTc+YvcqKHltM+9fSgb0APhS2xOOackBcBqtIu85ZAcA59DuHJsCD4BTaTN9ZSbx8mAS59t5xiZKAGCrRiccm0sqcQbAERotUpgOs/Jaiv4qyimllAfnGctSEYBqGl8vLz3SrxNn+XFr6W/fzbfpS8wCwDcOOK30PcZKZ4XeYHH6sAQAttnrHJtl0O77cA9pB0BdJ7h4EADsQeQBEMRekeeqCQAcbK/Ik3gAHEzHJgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuRxOvnoCgA/SuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCD+tNpxTimlVBbdlp8/9crG7w4AX2gUeY8QyyOhNXdbb5ss9ACopU3k5XsDLY/k2uhtI8lWUrf5BwAbtRrLK4+vI6nVv23YlsuplNs2Qg+ASppE3ivDhq23udsAoJ1TztjsxqJmHgB1NJuxuc6y+Zl/21cEgJ/VJPLmsmv0tnz/qq8TgGYat/LmuiVz5/vk/E64Mp9oOJWmkfcMs0+33edwGrfjZ/gwwwk1jLy58bnubZ3VeXn+n+J/KRnQA+BLbU84tiDwAGAfqyIvLw+qxX2aALCPta28hak3t9mK4ASAar5Yip7zx5H5VYk33F3pzOaUjgDUsSryyiN/PqTe2jaegAOgvZWtvLIw9dYsRi+vpeivonx7DBkIQC3rZ2x2r4AwO0PltX16a8ANbiv5UdbZ3dwlZgFgva8WKbwuZVenGVYG+VYsZACgsq/X5T0ae2OhN3bB1zx92+QVYgGgnq8jL3d+Ek8AnN9XkTeYZwIAp7c+8rp5l249lgtOF++M8gAcbGXk9fIupaXXP5B4ABxs7Tk2bwQYAJfzxVievAPgilZG3ljciUAArmBV5Ak3AK7riyspAMAViTwAghB5AASxdpFCmf4VAM5MKw+AIEQeAEEs7tjMb98A4Gq08gAIYlvkmb0CwGUs7tgsyRRNAK5MxyYAQTjHJgBBaOUBEITIAyAIkQdAEAvH8m5zNYfr0I3uAXAVWnkABCHyAAhiYcdm6XwFgCvSygMgCJEHQBAiD4AgRB4AQYg8AIJYdVrplFK+TdvMKZnASQNleL4DgEpWtvJy95uDEwAXsi7y8uyvAHBiazs2O1dHF3gAXMmqVl5+G7+TegBciRmbAATxTeRlkzUBuB6tPACCEHkABLEh8sxdAeBKVkXebY5mZyjPkB4Al7F6XV7ufQeAa1jXsVnevmnk0Zf9KwSc18pWXslpEHxwJ++AU1vbsVkGPwDAJVikAEAQIg+AIEQeAEGIPACCWDt9pTcnzyQWAK5iXeSZhA7AZa0++8pSt3QcbwXmwU1LSgBgi1WRtzyGnqclG9k6P76VNSUAsM3XS9FnPc48nUcz73ZjXl0CABu0mrFZHl8HqZVTKbfb8ooSANioSeRlJ54G4HR2X5fXjcO8uAQAtlo1llcOzp+/xz48AJe2tpW3KPSK/kwATmflJWLLymuA6pYMx1sOnNb6dXlvx7T55lz+uAUA7KXZ2VdanD/lX0oG9AD4UtsTjmniAXAa62ZsLt9UnyYAJ9OolZcFHgAn02Yp+kzivZ1VbHEJAGzV6IRjkgqAs2l0wrGZxLs34fLgrGKzJQCwUbuxvIdyLyj9W8tg+/kSANhifeTdVx983wArgwUMS0oAYJu1kddpvo1f/TWl0aQq8+dsWVICAFusHMvLk78AwLmti7ycnpdJKEnmAXAlq2dslsEPi0z3ggLALlZFXu5NMVnRzJN4ABys0bo8ADgbkQdAECIPgCBEHgBBrI086xIAuKhVkfc+7dL1EgC4ktUdm88r2WnvAXAp686xWfI981znAICrWdnKK92Uk3gAXMjqiweVR9emwAPgUr64RKysA+CKrMujMvOagLMSeQAEIfIACGLVWF5v8bm16ABciFYeAEGIPACCWNyxmd++AcDVaOUBEMS2yDN7BYDLWNyxWZIpmgBcmY5NAIJYtS5PEw+A69LKAyAIkcdpWAEDtCXyAAhi7fXyev+IG90D4CrWRZ6eJwAuS8cmAEGsvXiQvkwALmrtWJ7AA+CidGwCEITIAyAIkQdAEKsiz0AeANe1tpVnZR4AF7Uu8kpJWegBcEnr1+W9NfR0dQJwFaavABCEyAMgCFdFByAIrTwAghB5AAQh8gAIQuQBEITIAyAIkQdAEAsXKUydZcyyBQCuQisPgCBWLUVfKY81At/ai6VfVt6304gEoJqFkbd39uTHN6EHQCUNW3nj43/ddlwZKX0rcqEiAKppN5b3Ka5y56d+4uVUSkopFaEHQC2NWnmLkkqnJQA7OmzG5tww3es2zTwAamnUyispzTf18sivH1t9fzfUCIDojluX1w24WwBmLToA2mm5Lm9G7v18bxVmw3sAtHJYK68Mf5F3ADR0TCtv7BQsKaWS55t5/1IyoAfAl45q5WnRAbAzp5UGIIhDIs+pMwHY3wlaecO1Ca8F6MIRgFpOEHlJwAGwgyMir9eqK8+l6J2inFJKWQYCUM1eixTew+s9yEp+pF3p3mG4IQB87xQdm/dgK50VehanA1BZy1beW7suj5dPlUg7ACo7RSsPANoTeQAEsVfkuUYCAAfbK/IkHgAH07EJQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiDxpxyiE4G5EHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyKOafHQFAGaJPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg8asnADzkTkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAE8afhvnMq48UP5b2sDLYavT8AfKNl5C2WH9/KdAkAbNMw8vLkLSM5VgZ3GJYAwAbtxvKm4mrYcsuplJRSKs/7DEsAYKNGrTxJBcDZnGDG5qvZ92jUDUsAYKtGrbyS0kxTz2xMAPZ3xIzNflNusb/VqwJAHLtHXk7PNmDW0ONX6ZCHMzpiLK90vgLATnaPvFJMTWGGf4WAZk5x9pWl/qVkQA+AL51gkQIA7EHkARDE7pGXBwN4b+cZmygBgK0OaOWJMwCOsP+MzddS9FdRTimlPDjPWJaKAFSz14zNTpzlR9qV7s29gpESANjigI7Ne4yVV5yVweL0YQkAbNOyldcNrJLHyyeLpB0AdVmkAEAQIg+AIPaKPFdNAOBge0WexAPgYDo2AQhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPGobXBER4BxEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAgvjTcN85lakbUkqdG/Pzp17ZxP0BYL2WkTfhEXB5JtDy45vQA6CShpGXJ4vL7Xsn80aSrUzvAgDWazeWNx1X5fF1si2XUym3bYQeAJU0auVNJ9Ur34o4A2BHp5yx2YlFzTwAKmnUyruP1i1mfiYAre0+Y3M01/L964fQ+1u9NgDEccAihYfc+T6cwwkAdR02lpdzp8VXOl/BAC7QxEGtvO7YXWd1XtbMA6CVQyLv28kq/1IyoAfAl46IvOfgHQDs55hzbAo8AHa3//SVQeLlwWSF0pnNKR0BqGP3yBtr4wk4ANo7YJFCP9bKayn6qyinlFKWgQBUs9dYXie8Ov2Y9/V4+VFWunfoFQDAJqc4rfRjgV5nhZ7F6TF5x4GGWrbyuoev55WCRo9pE1eIBYB6TtHKA4D2RB4AQewVeU6eCcDB9oo8iQfAwXRsAhCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACELkARCEyAMgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACOLP0RUAOFROLmIdhlYeNTlwACcm8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPIIC1zs0AABOXSURBVB9dAfYh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB58HusMoNRIg9+Tc4yD0aJPM7CURpoTOQBEITIAyAIkQdAECIPfpGRURgh8gAIQuQBEITIAyAIkQdAEH8a7junMnVDSu+3LSkBlsv+emCgZeRNyI9vZU0JAGzTMPJmZkmXwc1LSgBgg3ZjeVNxlVMpKaVUnlssKQGAjRq18iQVAGez+4zN1/Dcowm3pAQAtmrUyispaeoBcCoHzNj83t+jKwDAhVmKTi1a9cDJiTwA/7EFIfKgDadRgNO51Fjev5QM6EElOcllotHKAyAIkQdAELtH3ttZxRaXAMBWWnnQiv/X4GT2j7x7Ey4Pzio2WwIAG+01Y/MtvG7dliWtKwGALQ7o2CyPAbtVJQCwTctWXjewSp64YXkJAGxh+goAQYg8AILYK/KyjkoAjrVX5Ek8AA6mYxOAIEQeAEGIPIjJNVEJSOTBj5FlMEXkARCEyAMgCJFHVVajAOcl8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIA0LLR1eAHYk8qM9RFE5J5AEQhMgDIAiRB0AQIg+AIEQeAEH8OboCABHllFI5uhLhaOUBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIg5ZOe+W801YMGhJ5AAQh8gAIQuQBEITIAyAIkUd1JkYA5yTyAAhi70vEvjUASr+s9DZ0/UQAqjnpVdHz45vQA6CSvSPvFWHdOBsLtpIMCgFQ0WFjebnz0yDxciolpZSK0AOglgOnr+izZIzPBdDKUZE3O0r3ulEzD4BaDpq+kkd+9d89AC0dNmOzG3D5/vVT6P1tVhuA/WX/6e/smMjLvZ/L7QdvPwDtHDWWV4a/yDsAWjok8t5PwVLMVQFgBweN5X3XovuXkgE9oAXjKiE4rTQEpmOFWI6IPGfOBOAAx7fy8vD/zNegnnQEoJbjIy/JNwD2cEDk9Vp15bUUvVOWU0opC0EAqjlkxuZ7jpX8SLvhGVkkHgC1nKFj855rpZNvxep0ACo7oJU3zLGpK8QCQD1naOUBwA5EHgBBiDwAghB5APtzrrdDiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8uA3OaEVDIg8AIIQeZyQBgrQgsiD31OOrgCck8ijIkda4MxEHgBBiDwAghB5AAQh8gAIQuQBHMV6nJ2JPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABCHyICInuiIkkQdAECIPgCBEHgBBiDwAghB58FtMTFmvHF0B9iLyAAhC5AEQhMgDIAiRRyWGkICzE3kABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABPFn90d8naSjvJeV4WbObw5ANftH3lB+fCtzRQCwyRGRNxJjJQ3O0ThSBFRU/IERze5jecOGW06lpJRSeSXcSBEAbGP6CgBBHB95r2ZfGQ7haeYBUMsRY3kmYwJwgAMiL9+/rg+9v7WrAkAge0deTvcGXk5ZQw+AHR0wllc6X6HLp4LdmS4Qyt6RV4qZKQAc4gxnX1nsX0oG9AD40vGLFPgt+iaB0xJ5AASxd+TlwQDea0zvuW5hpAgANtq/lSfNADjE7jM2X0vRX0U5pZRyJwNHigBgm91nbJb8SLtOmuV+wWgRAGywf8fmY7zulWZluDh9pAioL8jq2DycRUBIB6zLm7hC7OcigB+Rk2v0HuFSS9GBn/Q89y60ZV0e8Ou0prgTeUB4mphRiDwAghB5AAQh8gAIQuQBEZjCQhJ5AIQh8gAIQuQBEITIAyAIkQdAECKP+syNA05J5EEzTmMF5yLyAA6jS2RfIg+AIEQeAEGIPOBgrTv3dB7yIPIACELkARCEyAMgCJEHnIEBN3Yg8gAIQuQBEITIgx/kVGfr6VmNQOQBEITIAyAIkQdB6fwkHpEHQBAiD5oyKQLOQ+QBEITIgyaMlMH5iDwAghB5AAQh8gAIQuRxEmY21mMcEcaJPACC+HN0BQCoJCeN/FlaefCjdBVDn8gDfpvs50nkARCEyAMgCJEHQBAiDwjux6Y4GrucIfIACELkQUAaAifwY43LaxB58FMuGGY7VfmCrwzViTwISzODaEQeAEGIPACCEHkABCHygFMwvYT2RB4AQRxxvbzbP3Ol9/t72a3QhDIAqtk/8h4Bl+fyLD++CT0AKtk98vK97Za7mTcWbCXp3Acac5CJ5YCxvPL4Ot2Uy6mU20Y+j8DvcWQ7yN6R98o3XZb8LMczOKdTztjs5qKDBwB1HDFjc8j0TACa2zvyRnMt379+Cr2/tWvDGRUt+z3NTp3mYvztfHJcKy93vg/ncHJF3j/g1I4ay8u5c4Asna8A0MYxrbzu2F1ndV7WzAPY6BQH0mf/3bkcdsKxb16LfykZ0APgSwdE3knDH4Afd8g5NgUeAPvbffrKIPHycFpt6UznFI8A1LH/CcfGzqj5+C7fAH7AWVcI7r9IoR9r5bUUvVOWU0opC0EAqjnuennpuR4vP8rKYDOJB/wsZxra3RlOK/1YoNfJt2J1OgCVneIcm1NXiAViaN3c0Zzi5gytPADYgcgDIAiRB2AkJQiRB0AQIg9+0dVaLa3re7XXg0ZEHgBBiDzgUNYPsB+RB/y0YJF6ji7c077oIg+AFk4YfCKP8zjH/6f8qk8H4BMeoKlN5AH8BqH9kcijMk01vuSAXYtXcpLIow5/ZPANfzm7EnkABCHyAAhC5MGveQyn6jKDHpEHQBAiD1o4/8TV89cQqhN5nMNvdsKJFTgVkccZ/WYAAgcTeQAEIfIACELkQTw6jglK5AFQVU5nnbsl8gAIQuRBbboNWeCcraC6zvenIPLgl5zvGAMnIvIACELkARCEyAP4GRFGCLcQeQAEIfJowBwKzkbrh5REHhDdj6Xhjz2dykQecDRHaXYi8qjGcWuUXl4m1f2b8VH7TOQBEITIg7iCNczP0wo6T02iEXmcTrDj8JGiHHlP/ZFq8SZEeWPXE3lU4U/skk4UBc2q4qNJh8gDoLZypn+oXkQexHZ0K+joxycUkccpOQ6yr1M2Sa7vdH/IIg+Amk4XdC8iD4jrxAdnWhB5wEnIH1oTedRmUOQSvE1EJPIACELk0YIeKuCERB4AQYg8gJSSzokIRB78mNfElKlD+Ks8xiSWUz7LU1bq94k8TsMxYLtrhtmV6lqF5uRhRB40dIWD+bHH3+ejN3qpPj+7K7xHizyeaklHv6kn9ufoCozLKf3QJ5HYsk/yUru/VD+XDKf4rOV0koqMOGUrL+fuN4AqHFLCO2XkpZRKKWf9L4FWHI9o6JwHlHPWqqKz/VWfMfJyusVdOd2rRTO/9Fb/0nOB750xz88YeVzT5s/3Gf9ALszLuc4xkz7yIY8a2AkjLz//VjXzLsMfbs+BedN96PH3xDv1k16TRk41ZfM0Fbk5YeRxUW9H+ZWf8+HmJ/tDWeHImi9/7LO0AVtP7uu8IqcKgseTPsv7UNN79p7MSRcpjPs7+OFS/nd0BRp7f1fWH1v+27qDE3l/Lvs+lWUP/XfJRjvJ/71+bPIAnSc78gDHvBSdJ13xUeef6Y6+r8h/nzdZWoV/I6UnXDL06tjs/pjSVZMOgP2NRZ6OTQCCEHkABHGpjs2U0q13c6y9WkXrnTfbd9OdX/olv+7OL1txOx/d+WUrftGdT9DKAyAIkQdAECeMvNcC9LF+TQD4zgkjDwBaOOH0lUfrLp9y7T4AV3XSs6/cujYlHgD1nLKV56roANR30sgDgNpMXwEgCJEHQBAiD4AgRB4AQYg8AIIQeQAEIfIACOKkZ1+Z1HCNen7+VHn/g7Nj13wSvZ1XfBIjZ8CpVvHhvutVfPTMPbVqPvWijD3m1w/R5jUf7Lz2S97bU6WKj+277af8Ah/z3P2l97pUekl6O6/9kjc8JH5wrcjLj29XXkB/jSfxvJrF4ECzveIj+65nrJa1a97yvctjv9V6wPx5k0qu8Skfq2a9mu/8GlzjJW/697nEtSIvpccJp5vtu76R2tZ7EsO9VDs2ltv3t1yqUvGZfW+XJypZs+b9/dT83Iy/oZU+8e0qPranWhWf2ncFM2/o9pqP77xKzbsBXf3vc2Ln1T4s9z/+YeE+/5Bd6oRjz3egxb8Drf7FyKnftVHxSUzufPuOn7Uc1Hfrg4zsu2YzZljLWjWf33kd7+9o5U/8287rVXxkT/U/LB/Kvtz5fU9jn8TtNZ/ZeS0tKj678+37bPf3uYzpK03l3PA/l4Y7f332Wv5v0eTz3fSPpvlfZNM/+pN3eR2hvH270s57D3LBnR/kSpHXPVbuNyhR2WWfxGUrfqWaD6au1Kz5jol3oZf8pgybM/VqXpq97qO9DbUqvt8Y5K4flsuN5bVUf9rQaLd1251f9rpLVSp+yP+8FWf47dvGq/dZafmpazbD75Amdd3p2g31d37ZA0uPyHvJ96+XflvrPImWL8HEviu/+jsezqrVfNcjWKr5krf80xnbd+2atwzrfsP99rXSI+73L16lipecS5UdfU3k3T1H9vO1pvS8afAkWh6G89tP9Sre9P/R3s7r1nzHRmq9irf80xnbd83He0yPb/LCD3Ze+ZXa71+kqhU/uKf7SmN5rZXO18uq+yRybpgd7/uu/eq3nDj0vvNaNd+9n63eS97yT2ds3xVf8lJKaXMYHt153Vdqx3+RfuLomJJW3tPrvXw0vS+o8pPYb4CmbsVLavivZG/n9Wq+c+LVq3jLP52xfdd8vPuBvE3XzmDndV+pHfvBa37Kj+5M08pjQs6p2WSzlvu+afSfe7ud7z2QR3odypt8EpvuvPGeW+382bPT9O9zllYe4/qr3K+x786E5/p/UU13nl7HgCa9yU13Dgu1/RNaQOQxquWR0VEXtnLWgu9cqWOzdP5Trf6GNJ3t0HGRJzFMpXoVH0m8pq/+NV7y8pBSeXT5Vqv5yM4rflbGzgtaqeJjtaz3ko+W1XrJR8pafsyv8Skf07TmQ1eKvMZ2fd1bqXWk2b2NV+1A0+nAq21855f93NSreMuXYGzf1R6v6XvXtOZ7a/CSH+RSkXc/5OQWn5fncGrrt+IiT2JsSnutio9Ol6/26j931JkPWu0lH+y87eem4YelXsXH9lSr4uP7bvBh6ey9/oflte/aNe+o+Vnp77xaxUvjv88FrjUf//GCt5pM1GbvE1dxrfMwU5eI3dz3+FJ6hZX+zXvfV7VXf2xH1V7yuZ3X+tyMXUms2mdy9BKxLV6Wa7zkF/6wDPOh4mdleufnfskXVeBSkXd/cRrV+fbCt+iaKf2Ceo/T33mdJzEeS3UqPrfvOn+uIzuq9ZKP7bzy52bsn5g2O69X8cmX5fQv+Vgtq73kIzuq+DEf7qRixQd7ucaHZcnDXyzyAOBLlxrLA4DviTwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEITIAyAIkQdAECIPgCBEHgBBiDwAghB5AAQh8gAIQuQBEMSfoysAvyynVA7fY/1KwEWJPPhKvn2TJXAhIg++kJ8/jGTeN60qLTHYgciD9XLnx52TSjDC90QerJbTI3ry/pkHfM2MTfhGeX3LsxsC56GVB2t1x93KIPByf5N7URls9Crq36d38+iD334Y7nryQT4Ulv6+P9RnaRmciMiDxu6h2OkAzc/vU6k2d/PIrkc3HD7uxK7z6E7y4KfuFkvL4FR0bEJbefqH8U7RDzd//7gTP45tOHr7h31Wqjc0pJUHa823Yd56BF936E10Kalb1r3Pirkxubeb99vS+FBj/y65UzbccOJOI2Xm9HABWnmwxYL1dOWeat273H6bumdJszcPNlz4wJOPPFqbzjje4E4TO1pcbziIyIMNvuvBK50fKvQBroiY4SNPPX6/Ofd2pw9PoRSpxzmJPPhafnXmTevf/injVuTFzIad1uf7vNCZ3czOpflUNlcOZ2EsD770/Yz8RdHQJD++2umy1Cu5O54HpyTy4CsNl6BdtLFUnj2lUo+z0rEJ37hNiGybeFdLjufLkS8a2vw+rTxYb+6cJwt8WHmwYKMmj7zmTuM7ei6KsEiBcxJ5sNrGxPu470vnRZ1ZqNCEjk34xqY+zc6ZTcb6ACslXu59n3zksQ3HdtS907Bs9KnAuYg82NfYKS/HbYmQT52RiwcMx+60/CnAuYg8WGv7nMT8+jZ+VfVUYw7I2Frz0UfOHx5v7E6DsvLchRTktIwyw1pzJ6N83f44BWX3xF3D+w8vz/Nh78/djO56rJZl/pHfH3Cw77nqfi6Dc9HKg72NnctrbLNtayA+dG2W4U8TDzdx6rFFZXAuZmxCbcPLxvY3GC5kf92n1JoQWkb2M/LI4xt+utPSMjgVHZvAnROn8Ot0bAI3pp3w83RsQmjZIByBaOVBdPntG/wwY3kQm7UFBKKVB7Hp1iQQrTwIz9oCohB5AAShYxOAIEQeAEGIPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACCEHkABCHyAAhC5AEQhMgDIAiRB0AQIg+AIEQeAEGIPACC+H8qKDZTClZmcAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image(filename=(\"./PDF - beta CsCl.png\")))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}