{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Convergence Testing:\n",
    "### K-Point Convergence:\n",
    "Using a plane-wave energy cutoff of 520 eV, and Monkhorst pack k-grid densities of $i$ x $i$ x $i$ for $i$ ranging from 1 to 8."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline\n",
    "sns.set_palette(sns.color_palette('bright'))\n",
    "sns.set_style('darkgrid')\n",
    "kdensity = np.arange(3, 8.1)\n",
    "kconv_energies = np.array([float(line.rstrip('\\n'))\n",
    "                           for line in open('VASP_Outputs/kconv_energy_list.txt')])\n",
    "\n",
    "f, ax = plt.subplots(1, 2, figsize=(22, 10))\n",
    "ax[0].plot(kdensity, 1000*(kconv_energies-kconv_energies[-1]), #color='steelblue',\n",
    "           marker=\"o\", label=\"Convergence E0\", linewidth=2, linestyle='-')\n",
    "ax[0].grid(True)\n",
    "ax[0].set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax[0].set_ylabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "ax[0].set_title(\"Electronic SCF Energy Convergence wrt K-Point Density\",\n",
    "                fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax[0].margins(0.1)\n",
    "ax[0].ticklabel_format(useOffset=False)\n",
    "plt.setp(ax[0].get_yticklabels(), rotation=20)\n",
    "f.subplots_adjust(bottom=0.3, top=0.85)  # Adjusting specific margins\n",
    "ax[1].ticklabel_format(useOffset=False)\n",
    "ax[1].plot(kdensity[1:], 1000*(kconv_energies[1:]-kconv_energies[-1]), color='red',\n",
    "           marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "ax[1].grid(True)\n",
    "ax[1].set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax[1].set_ylabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "ax[1].set_title(\"Electronic SCF Energy Convergence wrt K-Point Density\",\n",
    "                fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax[1].margins(0.1)\n",
    "plt.setp(ax[1].get_yticklabels(), rotation=20)\n",
    "plt.savefig('kpoint_Convergence.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1584x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "kdensity = np.arange(3, 8.1)\n",
    "kconv_energies_newencut = np.array([float(line.rstrip('\\n'))\n",
    "                                    for line in open('VASP_Outputs/kenconv_energy_list.txt')])\n",
    "kconv_newencut = np.zeros([6,])\n",
    "for i in range(len(kdensity)): # Selecting energies for ENCUT of 800 eV\n",
    "    kconv_newencut[i] = kconv_energies_newencut[i*13+12]\n",
    " \n",
    "f2, ax2 = plt.subplots(1, 2, figsize=(22, 10))\n",
    "ax2[0].plot(kdensity, 1000*(kconv_newencut-kconv_newencut[-1]), color='steelblue',\n",
    "           marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "ax2[0].grid(True)\n",
    "ax2[0].set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax2[0].set_ylabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "ax2[0].set_title(\"Electronic SCF Energy Convergence wrt K-Density (800 eV ENCUT)\",\n",
    "                fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax2[0].margins(0.1)\n",
    "ax2[0].ticklabel_format(useOffset=False)\n",
    "plt.setp(ax2[0].get_yticklabels(), rotation=20)\n",
    "f2.subplots_adjust(bottom=0.3, top=0.85)  # Adjusting specific margins\n",
    "ax2[1].ticklabel_format(useOffset=False)\n",
    "ax2[1].plot(kdensity[1:], 1000*(kconv_newencut[1:]-kconv_newencut[-1]), color='red',\n",
    "           marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "ax2[1].grid(True)\n",
    "ax2[1].set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax2[1].set_ylabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "ax2[1].set_title(\"Electronic SCF Energy Convergence wrt K-Density (800 eV ENCUT)\",\n",
    "                fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax2[1].margins(0.1)\n",
    "plt.setp(ax2[1].get_yticklabels(), rotation=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1584x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ediff = np.array([kconv_energies[i]-kconv_energies[i-1]\n",
    "                  for i in range(1, len(kconv_energies))])\n",
    "\n",
    "f1, ax1 = plt.subplots(1, 2, figsize=(22, 7))\n",
    "ax1[0].plot(kdensity[1:], np.log10(1000*abs(ediff)),\n",
    "            color='steelblue', marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "ax1[0].grid(True)\n",
    "ax1[0].set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax1[0].set_ylabel(\"Log_10(|SCF Energy Difference|) [meV]\", labelpad=10)\n",
    "ax1[0].set_title(\"SCF Energy Difference wrt K-Point Density\",\n",
    "                 fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "ax1[0].ticklabel_format(useOffset=False)\n",
    "plt.setp(ax1[0].get_yticklabels(), rotation=20)\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax1[0].margins(0.1)\n",
    "f1.subplots_adjust(bottom=0.3, top=0.85)  # Adjusting specific margins\n",
    "ax1[1].plot(kdensity[2:], np.log10(abs(1000*ediff[1:])),\n",
    "            color='red', marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "ax1[1].grid(True)\n",
    "ax1[1].set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax1[1].set_ylabel(\"Log_10(|SCF Energy Difference|) [meV]\", labelpad=10)\n",
    "ax1[1].set_title(\"SCF Energy Difference wrt K-Point Density\",\n",
    "                 fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "ax1[1].ticklabel_format(useOffset=False)\n",
    "plt.setp(ax1[1].get_yticklabels(), rotation=20)\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax1[1].margins(0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plane Wave Energy Cutoff Convergence: \n",
    "Using a Monkhorst pack k-grid density of 5 x 5 x 5, the plane wave energy cutoff was varied from 200 eV to 700 eV."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1584x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ecutoff = np.arange(200, 700.5, 20)\n",
    "econv_energies = np.array([float(line.rstrip('\\n'))\n",
    "                           for line in open('VASP_Outputs/econv_energy_list.txt')])\n",
    "sns.set_style('darkgrid')\n",
    "fec, axec = plt.subplots(1, 2, figsize=(22, 7))\n",
    "axec[0].plot(ecutoff, 1000*(econv_energies-econv_energies[-1]), color='steelblue',\n",
    "             marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "axec[0].grid(True)\n",
    "axec[0].set_xlabel(\"Plane Wave Energy Cutoff [eV]\", labelpad=10)\n",
    "axec[0].set_ylabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "axec[0].ticklabel_format(useOffset=False)\n",
    "plt.setp(axec[0].get_yticklabels(), rotation=20)\n",
    "axec[0].set_title(\"Electronic SCF Energy Convergence wrt ENCUT\",\n",
    "                  fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "axec[0].margins(0.1)\n",
    "fec.subplots_adjust(bottom=0.3, top=0.85)  # Adjusting specific margins\n",
    "axec[1].plot(ecutoff[3:], 1000*(econv_energies[3:]-econv_energies[-1]), color='red',\n",
    "             marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "axec[1].grid(True)\n",
    "axec[1].set_xlabel(\"Plane Wave Energy Cutoff [eV]\", labelpad=10)\n",
    "axec[1].set_ylabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "axec[1].ticklabel_format(useOffset=False)\n",
    "plt.setp(axec[1].get_yticklabels(), rotation=20)\n",
    "axec[1].set_title(\"Electronic SCF Energy Convergence wrt ENCUT\",\n",
    "                  fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "axec[1].margins(0.1)\n",
    "plt.savefig('ENCUT_Convergence.png')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "econv_energies = np.array([float(line.rstrip('\\n'))\n",
    "                           for line in open('VASP_Outputs/econv_energy_list.txt')])\n",
    "ecdiff = np.array([econv_energies[i]-econv_energies[i-1]\n",
    "                   for i in range(1, len(econv_energies))])\n",
    "\n",
    "fec1, axec1 = plt.subplots(1, 1, figsize=(11, 7))\n",
    "axec1.plot(ecutoff[1:], np.log10(1000*abs(ecdiff)), color='steelblue',\n",
    "           marker=\"s\", label=\"Convergence E0\", linewidth=2)\n",
    "axec1.grid(True)\n",
    "axec1.set_xlabel(\"Plane Wave Energy Cutoff [eV]\", labelpad=10)\n",
    "axec1.set_ylabel(\"Log_10(|SCF Energy Difference|) [meV]\", labelpad=10)\n",
    "axec1.set_title(\"SCF Energy Difference wrt ENCUT\", fontsize=20,\n",
    "                pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "axec1.margins(0.1)\n",
    "fec1.subplots_adjust(bottom=0.3, top=0.85)  # Adjusting specific margins\n",
    "axec1.ticklabel_format(useOffset=False)\n",
    "plt.setp(axec1.get_yticklabels(), rotation=20)\n",
    "#axec1[1].plot(ecutoff[2:], np.log10(abs(ecdiff[1:])), color='red', marker=\"s\", label=\"Convergence E0\", linewidth = 2)\n",
    "# axec1[1].grid(True)\n",
    "#axec1[1].set_xlabel(\"Plane Wave Energy Cutoff [eV]\", labelpad = 10)\n",
    "#axec1[1].set_ylabel(\"Log_10(|SCF Energy Difference|) [eV]\", labelpad = 10)\n",
    "# axec1[1].set_title(\"SCF Energy Difference wrt ENCUT\", fontsize = 20, pad = 20) # pad is offset of title from plot\n",
    "# axec1[1].margins(0.1)   # Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note:**  \n",
    "\"The PREC-tag determines the energy cutoff ENCUT, _**if ENCUT is not specified in the INCAR file**_. For PREC=Low, ENCUT will be set to the maximal ENMIN value found on the POTCAR file. For PREC=Medium and PREC=Accurate, ENCUT will be set to maximal ENMAX value found on the POTCAR file. In general, an energy cutoff greater than 130% ENMAX is only required for accurate evaluation of quantities related to the stress tensor (e.g. elastic properties).\"  \n",
    "Note that in the case of $Cs_2 AgSbBr_6$, the largest ENMAX in the POTCAR was 250 eV."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2D Convergence Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "K-grid density range from 3 x 3 x 3 to 8 x 8 x 8, with ENCUT varying from 200 to 800 eV in 50 eV increments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v3+json": {
       "$schema": "https://vega.github.io/schema/vega-lite/v3.4.0.json",
       "config": {
        "mark": {
         "tooltip": null
        },
        "view": {
         "height": 300,
         "width": 400
        }
       },
       "data": {
        "name": "data-991ee931705cbf7340df3c10d899fff7"
       },
       "datasets": {
        "data-991ee931705cbf7340df3c10d899fff7": [
         {
          "Ground State Energy wrt Final Datapoint (meV)": 185.00788000000102,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 200
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 209.5861700000023,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 200
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 204.46620999999868,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 200
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 203.23831000000064,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 200
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 205.38044000000082,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 200
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 205.98054000000047,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 200
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.5209199999990233,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 250
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.4367399999973713,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 250
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -0.9520699999993667,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 250
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.5762399999985064,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 250
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.5056800000020303,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 250
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.3177399999985937,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 250
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.0696599999973841,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.4345499999981257,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.3978900000001886,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.405539999999746,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.439120000002731,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.3891599999988102,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.592600000003586,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.337830000000395,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.133730000001378,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.227210000000923,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.252189999999246,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.273209999999381,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 9.900050000000192,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.36598000000231,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.379259999997885,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.372670000000653,
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        ]
       },
       "encoding": {
        "color": {
         "field": "Ground State Energy wrt Final Datapoint (meV)",
         "type": "quantitative"
        },
        "x": {
         "field": "K-Grid Density",
         "type": "ordinal"
        },
        "y": {
         "field": "Plane Wave Energy Cutoff (eV)",
         "sort": "descending",
         "type": "ordinal"
        }
       },
       "height": 320,
       "mark": "rect",
       "title": "2D Electronic SCF Energy Convergence Plot",
       "width": 300
      },
      "image/png": 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",
      "text/plain": [
       "<VegaLite 3 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/troubleshooting.html\n"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import altair as alt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "kenconv_energies = np.array([float(line.rstrip('\\n'))\n",
    "                             for line in open('VASP_Outputs/kenconv_energy_list.txt')])*1000\n",
    "kgrid_density = np.arange(3, 9)\n",
    "encut_range = np.arange(200, 801, 50)\n",
    "\n",
    "kenarray = np.zeros((len(encut_range), len(kgrid_density)))\n",
    "# Array of energy values\n",
    "for i in range(len(kgrid_density)):\n",
    "    kenarray[:, i] = kenconv_energies[i *\n",
    "                                      len(encut_range): (i+1)*len(encut_range)]\n",
    "\n",
    "x, y = np.meshgrid(kgrid_density, encut_range)\n",
    "\n",
    "# Convert this grid to columnar data expected by Altair\n",
    "source = pd.DataFrame({'K-Grid Density': x.ravel(),\n",
    "                        'Plane Wave Energy Cutoff (eV)': y.ravel(),\n",
    "                        'Ground State Energy wrt Final Datapoint (meV)': kenarray.ravel()-kenarray.ravel()[-1]})\n",
    "\n",
    "alt.Chart(source,width=300,height=320,title = '2D Electronic SCF Energy Convergence Plot').mark_rect().encode(\n",
    "    x='K-Grid Density:O',\n",
    "    y=alt.Y(\"Plane Wave Energy Cutoff (eV)\", sort='descending', type='ordinal'),\n",
    "    color='Ground State Energy wrt Final Datapoint (meV):Q'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v3+json": {
       "$schema": "https://vega.github.io/schema/vega-lite/v3.4.0.json",
       "config": {
        "mark": {
         "tooltip": null
        },
        "view": {
         "height": 300,
         "width": 400
        }
       },
       "data": {
        "name": "data-e60d5456fd58533b87b8ba156ff0c4e8"
       },
       "datasets": {
        "data-e60d5456fd58533b87b8ba156ff0c4e8": [
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.0696599999973841,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.4345499999981257,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.3978900000001886,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.405539999999746,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.439120000002731,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -2.3891599999988102,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 300
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.592600000003586,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.337830000000395,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.133730000001378,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.227210000000923,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.252189999999246,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.273209999999381,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 350
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 9.900050000000192,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.36598000000231,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.379259999997885,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.372670000000653,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.42649000000165,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.395250000001397,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 400
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 8.25489000000016,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 450
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.8617599999997765,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 450
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.871870000002673,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 450
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.885119999999006,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 450
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.870060000001104,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 450
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.879130000001169,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 450
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 6.9947400000019115,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 500
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.546559999998863,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 500
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.583969999999681,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 500
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.561170000000857,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 500
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.55225000000064,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 500
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 5.561010000001261,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 500
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 3.573769999999058,
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         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.2147299999996903,
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         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.206690000002709,
          "K-Grid Density": 5,
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         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.2034500000008848,
          "K-Grid Density": 6,
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         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.2052499999990687,
          "K-Grid Density": 7,
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         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.2075199999999313,
          "K-Grid Density": 8,
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         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.3384200000000419,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 600
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.0336399999978312,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 600
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.0347899999978836,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 600
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.0292799999988347,
          "K-Grid Density": 6,
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         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.0405599999976403,
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          "Plane Wave Energy Cutoff (eV)": 600
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -1.0303600000006554,
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         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 3.559740000000602,
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         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.1692199999997683,
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         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.1605600000002596,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 650
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.1599999999998545,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 650
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.161260000000766,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 650
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.1595300000008137,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 650
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 4.236010000000533,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 700
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.845499999999447,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 700
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.850699999999051,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 700
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.845069999999396,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 700
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.842029999999795,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 700
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.846369999999297,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 700
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 2.022530000002007,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 750
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.6329399999995076,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 750
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.6346000000012282,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 750
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.6313800000025367,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 750
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.6302399999985937,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 750
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.6337099999982456,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 750
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 1.3821900000002643,
          "K-Grid Density": 3,
          "Plane Wave Energy Cutoff (eV)": 800
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -0.0005200000014156103,
          "K-Grid Density": 4,
          "Plane Wave Energy Cutoff (eV)": 800
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0.001909999999043066,
          "K-Grid Density": 5,
          "Plane Wave Energy Cutoff (eV)": 800
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -0.0026599999982863665,
          "K-Grid Density": 6,
          "Plane Wave Energy Cutoff (eV)": 800
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": -0.003819999998086132,
          "K-Grid Density": 7,
          "Plane Wave Energy Cutoff (eV)": 800
         },
         {
          "Ground State Energy wrt Final Datapoint (meV)": 0,
          "K-Grid Density": 8,
          "Plane Wave Energy Cutoff (eV)": 800
         }
        ]
       },
       "encoding": {
        "color": {
         "field": "Ground State Energy wrt Final Datapoint (meV)",
         "type": "quantitative"
        },
        "x": {
         "field": "K-Grid Density",
         "type": "ordinal"
        },
        "y": {
         "field": "Plane Wave Energy Cutoff (eV)",
         "sort": "descending",
         "type": "ordinal"
        }
       },
       "mark": "rect",
       "title": "2D Electronic SCF Energy Convergence Plot (Adjusted Scale)"
      },
      "image/png": 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",
      "text/plain": [
       "<VegaLite 3 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/troubleshooting.html\n"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "source1 = pd.DataFrame({'K-Grid Density': x.ravel()[len(kgrid_density)*2:],\n",
    "                        'Plane Wave Energy Cutoff (eV)': y.ravel()[len(kgrid_density)*2:],\n",
    "                        'Ground State Energy wrt Final Datapoint (meV)': kenarray.ravel()[len(kgrid_density)*2:]-kenarray.ravel()[-1]})\n",
    "\n",
    "alt.Chart(source1,title = '2D Electronic SCF Energy Convergence Plot (Adjusted Scale)').mark_rect().encode(\n",
    "    x='K-Grid Density:O',\n",
    "    y=alt.Y(\"Plane Wave Energy Cutoff (eV)\", sort='descending', type='ordinal'),\n",
    "    color='Ground State Energy wrt Final Datapoint (meV):Q',\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Seems that the convergence effect of the plane wave energy cutoff is much more significant than that of the k-grid density.** For the k-grid density, a grid of 2 x 2 x 2 is too small for the SCF energy to be calculated (i.e. to be 'self-consistent' within the NELM limit of 100 electronic SCF loops), and that 3 x 3 x 3 is approximately 1.4 meV off the converged energy value for higher k-densities (see 'K-Point Convergence' above), but that k-grid densities of above 4 x 4 x 4 do not significantly improve the convergence of the final energy.\n",
    "Hence, it is concluded that a k-density of 5 x 5 x 5 (or 4 x 4 x 4) and an ENCUT of +500 eV is sufficient to obtain a converged final energy from VASP for $Cs_2 AgSbBr_6$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x684 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D  # noqa: F401 unused import\n",
    "from matplotlib import cm\n",
    "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
    "import numpy as np\n",
    "\n",
    "%matplotlib widget\n",
    "fig = plt.figure(figsize = (12,9.5))\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "sns.set_style('white')\n",
    "# Plot the surface.\n",
    "surf = ax.plot_surface(x, y, kenarray-kenarray[-1,-1], cmap=cm.coolwarm,\n",
    "                       linewidth=0, antialiased=False)\n",
    "\n",
    "ax.grid(True)\n",
    "ax.set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax.set_zlabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "ax.set_ylabel(\"Plane Wave Energy Cutoff [eV]\", labelpad=10)\n",
    "ax.set_title(\"2D Electronic SCF Energy Convergence wrt K-Density & ENCUT\",\n",
    "                fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax.margins(0.1)\n",
    "ax.ticklabel_format(useOffset=False)\n",
    "plt.setp(ax.get_yticklabels(), rotation=20)\n",
    "f.subplots_adjust(bottom=0.3, top=0.85)  # Adjusting specific margins\n",
    "\n",
    "# Add a color bar which maps values to colors.\n",
    "cb = fig.colorbar(surf, shrink=0.5, aspect=5)\n",
    "cb.set_label('Final Energy [meV]', labelpad = -35, y = 1.15, rotation = 0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f5412aa6362e4494810327fcc26177aa",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib widget\n",
    "fig1 = plt.figure(figsize=(12,9.5))\n",
    "ax1 = fig1.gca(projection='3d')\n",
    "\n",
    "# Plot the surface.\n",
    "surf = ax1.plot_surface(x[2:], y[2:], kenarray[2:]-kenarray[-1,-1], cmap=cm.coolwarm,\n",
    "                       linewidth=0, antialiased=False)\n",
    "\n",
    "ax1.grid(True)\n",
    "ax1.set_xlabel(\"K-Grid Density (i x i x i)\", labelpad=10)\n",
    "ax1.set_zlabel(\"Ground State Energy wrt Final Datapoint [meV]\", labelpad=10)\n",
    "ax1.set_ylabel(\"Plane Wave Energy Cutoff [eV]\", labelpad=10)\n",
    "ax1.set_title(\"2D Electronic SCF Energy Convergence wrt K-Density & ENCUT\",\n",
    "                fontsize=20, pad=20)  # pad is offset of title from plot\n",
    "# Adjusting the in-plot margins (i.e. the gap between the final x value and the x limit of the graph)\n",
    "ax1.margins(0.1)\n",
    "ax1.ticklabel_format(useOffset=False)\n",
    "plt.setp(ax1.get_yticklabels(), rotation=20)\n",
    "#fig1.subplots_adjust(bottom=0.3, top=0.85)  # Adjusting specific margins\n",
    "\n",
    "# Add a color bar which maps values to colors.\n",
    "cb = fig1.colorbar(surf, shrink=0.5, aspect=5)\n",
    "cb.set_label('Energy Difference [meV]', labelpad = -35, y = 1.15, rotation = 0)\n",
    "#plt.savefig('3D_Conv_Plot')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}