{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Inhomogeneous Defect Distribution in Mixed-Polytype Metal Halide Perovskites"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://pubs.acs.org/doi/10.1021/acsenergylett.0c01207 https://www.nature.com/articles/s41563-020-0629-4.pdf\n",
    "\n",
    "* Recent research highlights mixed combination of corner-sharing (cubic) and face-sharing (hexagonal) octahedra can give rise to a variety of hexagonal perovskite derivatives able to accommodate ionic vacancies. \n",
    "* Ionic conduction properties are linked to the distinct disordered crystal structure. \n",
    "* Therefore, the crystal structure plays a pivotal role in defining the ionic conduction properties. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part-1 : Calculate each 3C and 2H defect formation energy (CsPBI$_3$)\n",
    ">All calculations are followed by `Quick-start guide for first-principles modelling of point defects incrystalline materials` (https://iopscience.iop.org/article/10.1088/2515-7655/aba081)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Raw defect formation energy\n",
    "### Generate entirely cubic (3C) and hexagonal (2H) CsPbI$_3$ structure\n",
    "* This is expected to compare in which environment defect likely to appear and understand their hopping progress.\n",
    "\n",
    "* Polytype_ Structure generator https://github.com/WMD-group/polytype (https://github.com/WMD-group/polytype/tree/master/Structure_collections)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Doped(https://github.com/kavanase/doped)\n",
    "### Generate Iodine vacancy \n",
    ">This is a (mid-development) Python package for managing solid-state defect calculations, geared toward VASP. Much of it is a modified version of the excellent PyCDT.\n",
    "See this link for the original PyCDT paper.\n",
    "Defect formation energy plots are templated from AIDE and follow the aesthetics philosopy of sumo, both developed by the dynamic duo Adam Jackson and Alex Ganose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "import pymatgen as mg\n",
    "from doped import vasp_input\n",
    "from doped.pycdt.core.defectsmaker import ChargedDefectsStructures\n",
    "from pymatgen.core.structure import Structure\n",
    "import numpy as np\n",
    "from pymatgen.analysis.defects.generators import VacancyGenerator\n",
    "from pymatgen.symmetry.analyzer import SpacegroupAnalyzer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Read supercell POSCAR (entirely cubic (3C))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "#Option 1_Read from materials project\n",
    "\n",
    "# with MPRester() as mp:\n",
    "#     bulk_structure = mp.get_structure_by_material_id('mp-661') #AlN wurtzite structure \n",
    "\n",
    "# Option 2_From POSCAR    \n",
    "perfect_supercell = Structure.from_file(\"/Path/\")    \n",
    "\n",
    "# from pymatgen.io.vasp import Poscar\n",
    "# poscar = Poscar.from_file(\"/Path/.vasp\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Make vacancy defect(possible defect sites)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Setting up defects...\n",
      "\n",
      "Number of jobs created:\n",
      "    bulk = 1\n",
      "    vacancies:\n",
      "        vac_1_Cs = 3 with site multiplicity 48\n",
      "        vac_2_Pb = 5 with site multiplicity 48\n",
      "        vac_3_I = 3 with site multiplicity 144\n",
      "    substitutions:\n",
      "Total (non dielectric) jobs created = 12\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Note that we've modified PyCDT's ChargedDefectStructures, so that it uses Voronoi interstitial generation\n",
    "# algorithm (crashes with the other, default algorithm...)\n",
    "# and got rid of the deprecated str2unicode function. We've also removed \"Voronoi\" and \"mult_XX\" from the\n",
    "# interstitial name (too much crap in the names...)\n",
    "def_structs = ChargedDefectsStructures(\n",
    "    perfect_supercell,\n",
    "    cellmax=perfect_supercell.num_sites,  # As a dictionary\n",
    "    # max_min_oxi for bulk elements only unfortunately (not substitutions)\n",
    "    antisites_flag=False,\n",
    "    max_min_oxi=None,\n",
    "    include_interstitials=False\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "vacancies_only = {'vacancies': [val for val in def_structs.defects['vacancies']]}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Vavancy POSCAR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'vacancies': [{'name': 'vac_1_Cs',\n",
       "   'unique_site': PeriodicSite: Cs (0.0000, 0.0000, 0.0000) [0.0000, 0.0000, 0.0000],\n",
       "   'bulk_supercell_site': PeriodicSite: Cs (0.0000, 0.0000, 0.0000) [0.0000, 0.0000, 0.0000],\n",
       "   'defect_type': 'vacancy',\n",
       "   'site_specie': 'Cs',\n",
       "   'site_multiplicity': 48,\n",
       "   'supercell': {'size': [1, 1, 1],\n",
       "    'structure': Structure Summary\n",
       "    Lattice\n",
       "        abc : 16.824716568 16.824716568023042 45.5567970276\n",
       "     angles : 90.0 90.0 59.999996185342084\n",
       "     volume : 11168.100436063269\n",
       "          A : 16.824716568 0.0 0.0\n",
       "          B : 8.4123592541 14.5706313993 0.0\n",
       "          C : 0.0 0.0 45.5567970276\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 0.0000) [0.0000, 0.5000, 0.0000]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 0.0000) [0.5000, 0.0000, 0.0000]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 0.0000) [0.5000, 0.5000, 0.0000]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 7.5928) [0.0000, 0.0000, 0.1667]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 7.5928) [0.0000, 0.5000, 0.1667]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 7.5928) [0.5000, 0.0000, 0.1667]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 7.5928) [0.5000, 0.5000, 0.1667]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 15.1856) [0.0000, 0.0000, 0.3333]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 15.1856) [0.0000, 0.5000, 0.3333]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 15.1856) [0.5000, 0.0000, 0.3333]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 15.1856) [0.5000, 0.5000, 0.3333]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 22.7784) [0.0000, 0.0000, 0.5000]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 22.7784) [0.0000, 0.5000, 0.5000]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 22.7784) [0.5000, 0.0000, 0.5000]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 22.7784) [0.5000, 0.5000, 0.5000]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 30.3712) [0.0000, 0.0000, 0.6667]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 30.3712) [0.0000, 0.5000, 0.6667]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 30.3712) [0.5000, 0.0000, 0.6667]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 30.3712) [0.5000, 0.5000, 0.6667]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 37.9640) [0.0000, 0.0000, 0.8333]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 37.9640) [0.0000, 0.5000, 0.8333]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 37.9640) [0.5000, 0.0000, 0.8333]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 37.9640) [0.5000, 0.5000, 0.8333]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 3.7964) [0.1667, 0.1667, 0.0833]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 3.7964) [0.1667, 0.6667, 0.0833]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 3.7964) [0.6667, 0.1667, 0.0833]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 3.7964) [0.6667, 0.6667, 0.0833]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 11.3892) [0.1667, 0.1667, 0.2500]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 11.3892) [0.1667, 0.6667, 0.2500]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 11.3892) [0.6667, 0.1667, 0.2500]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 11.3892) [0.6667, 0.6667, 0.2500]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 18.9820) [0.1667, 0.1667, 0.4167]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 18.9820) [0.1667, 0.6667, 0.4167]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 18.9820) [0.6667, 0.1667, 0.4167]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 18.9820) [0.6667, 0.6667, 0.4167]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 26.5748) [0.1667, 0.1667, 0.5833]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 26.5748) [0.1667, 0.6667, 0.5833]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 26.5748) [0.6667, 0.1667, 0.5833]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 26.5748) [0.6667, 0.6667, 0.5833]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 34.1676) [0.1667, 0.1667, 0.7500]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 34.1676) [0.1667, 0.6667, 0.7500]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 34.1676) [0.6667, 0.1667, 0.7500]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 34.1676) [0.6667, 0.6667, 0.7500]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 41.7604) [0.1667, 0.1667, 0.9167]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 41.7604) [0.1667, 0.6667, 0.9167]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 41.7604) [0.6667, 0.1667, 0.9167]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 41.7604) [0.6667, 0.6667, 0.9167]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 1.8982) [0.3333, 0.3333, 0.0417]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 1.8982) [0.3333, 0.8333, 0.0417]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 1.8982) [0.8333, 0.3333, 0.0417]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 1.8982) [0.8333, 0.8333, 0.0417]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 9.4910) [0.3333, 0.3333, 0.2083]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 9.4910) [0.3333, 0.8333, 0.2083]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 9.4910) [0.8333, 0.3333, 0.2083]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 9.4910) [0.8333, 0.8333, 0.2083]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 17.0838) [0.3333, 0.3333, 0.3750]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 17.0838) [0.3333, 0.8333, 0.3750]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 17.0838) [0.8333, 0.3333, 0.3750]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 17.0838) [0.8333, 0.8333, 0.3750]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 24.6766) [0.3333, 0.3333, 0.5417]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 24.6766) [0.3333, 0.8333, 0.5417]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 24.6766) [0.8333, 0.3333, 0.5417]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 24.6766) [0.8333, 0.8333, 0.5417]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 32.2694) [0.3333, 0.3333, 0.7083]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 32.2694) [0.3333, 0.8333, 0.7083]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 32.2694) [0.8333, 0.3333, 0.7083]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 32.2694) [0.8333, 0.8333, 0.7083]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 39.8622) [0.3333, 0.3333, 0.8750]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 39.8622) [0.3333, 0.8333, 0.8750]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 39.8622) [0.8333, 0.3333, 0.8750]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 39.8622) [0.8333, 0.8333, 0.8750]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 5.6946) [0.3333, 0.3333, 0.1250]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 5.6946) [0.3333, 0.8333, 0.1250]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 5.6946) [0.8333, 0.3333, 0.1250]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 5.6946) [0.8333, 0.8333, 0.1250]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 13.2874) [0.3333, 0.3333, 0.2917]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 13.2874) [0.3333, 0.8333, 0.2917]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 13.2874) [0.8333, 0.3333, 0.2917]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 13.2874) [0.8333, 0.8333, 0.2917]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 20.8802) [0.3333, 0.3333, 0.4583]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 20.8802) [0.3333, 0.8333, 0.4583]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 20.8802) [0.8333, 0.3333, 0.4583]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 20.8802) [0.8333, 0.8333, 0.4583]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 28.4730) [0.3333, 0.3333, 0.6250]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 28.4730) [0.3333, 0.8333, 0.6250]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 28.4730) [0.8333, 0.3333, 0.6250]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 28.4730) [0.8333, 0.8333, 0.6250]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 36.0658) [0.3333, 0.3333, 0.7917]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 36.0658) [0.3333, 0.8333, 0.7917]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 36.0658) [0.8333, 0.3333, 0.7917]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 36.0658) [0.8333, 0.8333, 0.7917]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 43.6586) [0.3333, 0.3333, 0.9583]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 43.6586) [0.3333, 0.8333, 0.9583]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 43.6586) [0.8333, 0.3333, 0.9583]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 43.6586) [0.8333, 0.8333, 0.9583]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 0.0000) [0.2454, 0.0092, 0.0000]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 0.0000) [0.2454, 0.5092, 0.0000]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 0.0000) [0.7454, 0.0092, 0.0000]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 0.0000) [0.7454, 0.5092, 0.0000]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 7.5928) [0.2454, 0.0092, 0.1667]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 7.5928) [0.2454, 0.5092, 0.1667]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 7.5928) [0.7454, 0.0092, 0.1667]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 7.5928) [0.7454, 0.5092, 0.1667]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 15.1856) [0.2454, 0.0092, 0.3333]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 15.1856) [0.2454, 0.5092, 0.3333]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 15.1856) [0.7454, 0.0092, 0.3333]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 15.1856) [0.7454, 0.5092, 0.3333]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 22.7784) [0.2454, 0.0092, 0.5000]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 22.7784) [0.2454, 0.5092, 0.5000]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 22.7784) [0.7454, 0.0092, 0.5000]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 22.7784) [0.7454, 0.5092, 0.5000]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 30.3712) [0.2454, 0.0092, 0.6667]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 30.3712) [0.2454, 0.5092, 0.6667]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 30.3712) [0.7454, 0.0092, 0.6667]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 30.3712) [0.7454, 0.5092, 0.6667]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 37.9640) [0.2454, 0.0092, 0.8333]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 37.9640) [0.2454, 0.5092, 0.8333]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 37.9640) [0.7454, 0.0092, 0.8333]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 37.9640) [0.7454, 0.5092, 0.8333]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 3.7964) [0.4213, 0.1574, 0.0833]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 3.7964) [0.4213, 0.6574, 0.0833]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 3.7964) [0.9213, 0.1574, 0.0833]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 3.7964) [0.9213, 0.6574, 0.0833]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 11.3892) [0.4213, 0.1574, 0.2500]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 11.3892) [0.4213, 0.6574, 0.2500]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 11.3892) [0.9213, 0.1574, 0.2500]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 11.3892) [0.9213, 0.6574, 0.2500]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 18.9820) [0.4213, 0.1574, 0.4167]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 18.9820) [0.4213, 0.6574, 0.4167]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 18.9820) [0.9213, 0.1574, 0.4167]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 18.9820) [0.9213, 0.6574, 0.4167]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 26.5748) [0.4213, 0.1574, 0.5833]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 26.5748) [0.4213, 0.6574, 0.5833]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 26.5748) [0.9213, 0.1574, 0.5833]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 26.5748) [0.9213, 0.6574, 0.5833]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 34.1676) [0.4213, 0.1574, 0.7500]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 34.1676) [0.4213, 0.6574, 0.7500]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 34.1676) [0.9213, 0.1574, 0.7500]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 34.1676) [0.9213, 0.6574, 0.7500]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 41.7604) [0.4213, 0.1574, 0.9167]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 41.7604) [0.4213, 0.6574, 0.9167]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 41.7604) [0.9213, 0.1574, 0.9167]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 41.7604) [0.9213, 0.6574, 0.9167]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 0.0000) [0.0092, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 0.0000) [0.0092, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 0.0000) [0.5092, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 0.0000) [0.5092, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 7.5928) [0.0092, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 7.5928) [0.0092, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 7.5928) [0.5092, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 7.5928) [0.5092, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 15.1856) [0.0092, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 15.1856) [0.0092, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 15.1856) [0.5092, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 15.1856) [0.5092, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 22.7784) [0.0092, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 22.7784) [0.0092, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 22.7784) [0.5092, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 22.7784) [0.5092, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 30.3712) [0.0092, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 30.3712) [0.0092, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 30.3712) [0.5092, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 30.3712) [0.5092, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 37.9640) [0.0092, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 37.9640) [0.0092, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 37.9640) [0.5092, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 37.9640) [0.5092, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 3.7964) [0.1574, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 3.7964) [0.1574, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 3.7964) [0.6574, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 3.7964) [0.6574, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 11.3892) [0.1574, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 11.3892) [0.1574, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 11.3892) [0.6574, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 11.3892) [0.6574, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 18.9820) [0.1574, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 18.9820) [0.1574, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 18.9820) [0.6574, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 18.9820) [0.6574, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 26.5748) [0.1574, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 26.5748) [0.1574, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 26.5748) [0.6574, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 26.5748) [0.6574, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 34.1676) [0.1574, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 34.1676) [0.1574, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 34.1676) [0.6574, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 34.1676) [0.6574, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 41.7604) [0.1574, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 41.7604) [0.1574, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 41.7604) [0.6574, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 41.7604) [0.6574, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 0.0000) [0.2454, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 0.0000) [0.2454, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 0.0000) [0.7454, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 0.0000) [0.7454, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 7.5928) [0.2454, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 7.5928) [0.2454, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 7.5928) [0.7454, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 7.5928) [0.7454, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 15.1856) [0.2454, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 15.1856) [0.2454, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 15.1856) [0.7454, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 15.1856) [0.7454, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 22.7784) [0.2454, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 22.7784) [0.2454, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 22.7784) [0.7454, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 22.7784) [0.7454, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 30.3712) [0.2454, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 30.3712) [0.2454, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 30.3712) [0.7454, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 30.3712) [0.7454, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 37.9640) [0.2454, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 37.9640) [0.2454, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 37.9640) [0.7454, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 37.9640) [0.7454, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 3.7964) [0.4213, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 3.7964) [0.4213, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 3.7964) [0.9213, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 3.7964) [0.9213, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 11.3892) [0.4213, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 11.3892) [0.4213, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 11.3892) [0.9213, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 11.3892) [0.9213, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 18.9820) [0.4213, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 18.9820) [0.4213, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 18.9820) [0.9213, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 18.9820) [0.9213, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 26.5748) [0.4213, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 26.5748) [0.4213, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 26.5748) [0.9213, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 26.5748) [0.9213, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 34.1676) [0.4213, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 34.1676) [0.4213, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 34.1676) [0.9213, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 34.1676) [0.9213, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 41.7604) [0.4213, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 41.7604) [0.4213, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 41.7604) [0.9213, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 41.7604) [0.9213, 0.9213, 0.9167]},\n",
       "   'charges': [-1, 0, 1],\n",
       "   'Possible_KV_Charge': -1},\n",
       "  {'name': 'vac_2_Pb',\n",
       "   'unique_site': PeriodicSite: Pb (8.4124, 4.8569, 1.8982) [0.3333, 0.3333, 0.0417],\n",
       "   'bulk_supercell_site': PeriodicSite: Pb (8.4124, 4.8569, 1.8982) [0.3333, 0.3333, 0.0417],\n",
       "   'defect_type': 'vacancy',\n",
       "   'site_specie': 'Pb',\n",
       "   'site_multiplicity': 48,\n",
       "   'supercell': {'size': [1, 1, 1],\n",
       "    'structure': Structure Summary\n",
       "    Lattice\n",
       "        abc : 16.824716568 16.824716568023042 45.5567970276\n",
       "     angles : 90.0 90.0 59.999996185342084\n",
       "     volume : 11168.100436063269\n",
       "          A : 16.824716568 0.0 0.0\n",
       "          B : 8.4123592541 14.5706313993 0.0\n",
       "          C : 0.0 0.0 45.5567970276\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 0.0000) [0.0000, 0.0000, 0.0000]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 0.0000) [0.0000, 0.5000, 0.0000]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 0.0000) [0.5000, 0.0000, 0.0000]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 0.0000) [0.5000, 0.5000, 0.0000]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 7.5928) [0.0000, 0.0000, 0.1667]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 7.5928) [0.0000, 0.5000, 0.1667]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 7.5928) [0.5000, 0.0000, 0.1667]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 7.5928) [0.5000, 0.5000, 0.1667]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 15.1856) [0.0000, 0.0000, 0.3333]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 15.1856) [0.0000, 0.5000, 0.3333]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 15.1856) [0.5000, 0.0000, 0.3333]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 15.1856) [0.5000, 0.5000, 0.3333]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 22.7784) [0.0000, 0.0000, 0.5000]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 22.7784) [0.0000, 0.5000, 0.5000]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 22.7784) [0.5000, 0.0000, 0.5000]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 22.7784) [0.5000, 0.5000, 0.5000]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 30.3712) [0.0000, 0.0000, 0.6667]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 30.3712) [0.0000, 0.5000, 0.6667]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 30.3712) [0.5000, 0.0000, 0.6667]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 30.3712) [0.5000, 0.5000, 0.6667]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 37.9640) [0.0000, 0.0000, 0.8333]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 37.9640) [0.0000, 0.5000, 0.8333]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 37.9640) [0.5000, 0.0000, 0.8333]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 37.9640) [0.5000, 0.5000, 0.8333]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 3.7964) [0.1667, 0.1667, 0.0833]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 3.7964) [0.1667, 0.6667, 0.0833]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 3.7964) [0.6667, 0.1667, 0.0833]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 3.7964) [0.6667, 0.6667, 0.0833]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 11.3892) [0.1667, 0.1667, 0.2500]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 11.3892) [0.1667, 0.6667, 0.2500]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 11.3892) [0.6667, 0.1667, 0.2500]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 11.3892) [0.6667, 0.6667, 0.2500]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 18.9820) [0.1667, 0.1667, 0.4167]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 18.9820) [0.1667, 0.6667, 0.4167]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 18.9820) [0.6667, 0.1667, 0.4167]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 18.9820) [0.6667, 0.6667, 0.4167]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 26.5748) [0.1667, 0.1667, 0.5833]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 26.5748) [0.1667, 0.6667, 0.5833]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 26.5748) [0.6667, 0.1667, 0.5833]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 26.5748) [0.6667, 0.6667, 0.5833]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 34.1676) [0.1667, 0.1667, 0.7500]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 34.1676) [0.1667, 0.6667, 0.7500]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 34.1676) [0.6667, 0.1667, 0.7500]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 34.1676) [0.6667, 0.6667, 0.7500]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 41.7604) [0.1667, 0.1667, 0.9167]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 41.7604) [0.1667, 0.6667, 0.9167]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 41.7604) [0.6667, 0.1667, 0.9167]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 41.7604) [0.6667, 0.6667, 0.9167]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 1.8982) [0.3333, 0.8333, 0.0417]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 1.8982) [0.8333, 0.3333, 0.0417]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 1.8982) [0.8333, 0.8333, 0.0417]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 9.4910) [0.3333, 0.3333, 0.2083]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 9.4910) [0.3333, 0.8333, 0.2083]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 9.4910) [0.8333, 0.3333, 0.2083]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 9.4910) [0.8333, 0.8333, 0.2083]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 17.0838) [0.3333, 0.3333, 0.3750]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 17.0838) [0.3333, 0.8333, 0.3750]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 17.0838) [0.8333, 0.3333, 0.3750]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 17.0838) [0.8333, 0.8333, 0.3750]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 24.6766) [0.3333, 0.3333, 0.5417]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 24.6766) [0.3333, 0.8333, 0.5417]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 24.6766) [0.8333, 0.3333, 0.5417]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 24.6766) [0.8333, 0.8333, 0.5417]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 32.2694) [0.3333, 0.3333, 0.7083]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 32.2694) [0.3333, 0.8333, 0.7083]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 32.2694) [0.8333, 0.3333, 0.7083]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 32.2694) [0.8333, 0.8333, 0.7083]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 39.8622) [0.3333, 0.3333, 0.8750]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 39.8622) [0.3333, 0.8333, 0.8750]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 39.8622) [0.8333, 0.3333, 0.8750]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 39.8622) [0.8333, 0.8333, 0.8750]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 5.6946) [0.3333, 0.3333, 0.1250]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 5.6946) [0.3333, 0.8333, 0.1250]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 5.6946) [0.8333, 0.3333, 0.1250]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 5.6946) [0.8333, 0.8333, 0.1250]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 13.2874) [0.3333, 0.3333, 0.2917]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 13.2874) [0.3333, 0.8333, 0.2917]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 13.2874) [0.8333, 0.3333, 0.2917]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 13.2874) [0.8333, 0.8333, 0.2917]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 20.8802) [0.3333, 0.3333, 0.4583]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 20.8802) [0.3333, 0.8333, 0.4583]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 20.8802) [0.8333, 0.3333, 0.4583]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 20.8802) [0.8333, 0.8333, 0.4583]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 28.4730) [0.3333, 0.3333, 0.6250]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 28.4730) [0.3333, 0.8333, 0.6250]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 28.4730) [0.8333, 0.3333, 0.6250]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 28.4730) [0.8333, 0.8333, 0.6250]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 36.0658) [0.3333, 0.3333, 0.7917]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 36.0658) [0.3333, 0.8333, 0.7917]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 36.0658) [0.8333, 0.3333, 0.7917]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 36.0658) [0.8333, 0.8333, 0.7917]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 43.6586) [0.3333, 0.3333, 0.9583]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 43.6586) [0.3333, 0.8333, 0.9583]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 43.6586) [0.8333, 0.3333, 0.9583]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 43.6586) [0.8333, 0.8333, 0.9583]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 0.0000) [0.2454, 0.0092, 0.0000]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 0.0000) [0.2454, 0.5092, 0.0000]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 0.0000) [0.7454, 0.0092, 0.0000]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 0.0000) [0.7454, 0.5092, 0.0000]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 7.5928) [0.2454, 0.0092, 0.1667]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 7.5928) [0.2454, 0.5092, 0.1667]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 7.5928) [0.7454, 0.0092, 0.1667]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 7.5928) [0.7454, 0.5092, 0.1667]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 15.1856) [0.2454, 0.0092, 0.3333]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 15.1856) [0.2454, 0.5092, 0.3333]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 15.1856) [0.7454, 0.0092, 0.3333]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 15.1856) [0.7454, 0.5092, 0.3333]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 22.7784) [0.2454, 0.0092, 0.5000]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 22.7784) [0.2454, 0.5092, 0.5000]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 22.7784) [0.7454, 0.0092, 0.5000]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 22.7784) [0.7454, 0.5092, 0.5000]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 30.3712) [0.2454, 0.0092, 0.6667]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 30.3712) [0.2454, 0.5092, 0.6667]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 30.3712) [0.7454, 0.0092, 0.6667]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 30.3712) [0.7454, 0.5092, 0.6667]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 37.9640) [0.2454, 0.0092, 0.8333]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 37.9640) [0.2454, 0.5092, 0.8333]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 37.9640) [0.7454, 0.0092, 0.8333]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 37.9640) [0.7454, 0.5092, 0.8333]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 3.7964) [0.4213, 0.1574, 0.0833]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 3.7964) [0.4213, 0.6574, 0.0833]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 3.7964) [0.9213, 0.1574, 0.0833]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 3.7964) [0.9213, 0.6574, 0.0833]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 11.3892) [0.4213, 0.1574, 0.2500]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 11.3892) [0.4213, 0.6574, 0.2500]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 11.3892) [0.9213, 0.1574, 0.2500]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 11.3892) [0.9213, 0.6574, 0.2500]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 18.9820) [0.4213, 0.1574, 0.4167]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 18.9820) [0.4213, 0.6574, 0.4167]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 18.9820) [0.9213, 0.1574, 0.4167]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 18.9820) [0.9213, 0.6574, 0.4167]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 26.5748) [0.4213, 0.1574, 0.5833]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 26.5748) [0.4213, 0.6574, 0.5833]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 26.5748) [0.9213, 0.1574, 0.5833]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 26.5748) [0.9213, 0.6574, 0.5833]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 34.1676) [0.4213, 0.1574, 0.7500]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 34.1676) [0.4213, 0.6574, 0.7500]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 34.1676) [0.9213, 0.1574, 0.7500]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 34.1676) [0.9213, 0.6574, 0.7500]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 41.7604) [0.4213, 0.1574, 0.9167]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 41.7604) [0.4213, 0.6574, 0.9167]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 41.7604) [0.9213, 0.1574, 0.9167]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 41.7604) [0.9213, 0.6574, 0.9167]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 0.0000) [0.0092, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 0.0000) [0.0092, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 0.0000) [0.5092, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 0.0000) [0.5092, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 7.5928) [0.0092, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 7.5928) [0.0092, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 7.5928) [0.5092, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 7.5928) [0.5092, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 15.1856) [0.0092, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 15.1856) [0.0092, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 15.1856) [0.5092, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 15.1856) [0.5092, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 22.7784) [0.0092, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 22.7784) [0.0092, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 22.7784) [0.5092, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 22.7784) [0.5092, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 30.3712) [0.0092, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 30.3712) [0.0092, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 30.3712) [0.5092, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 30.3712) [0.5092, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 37.9640) [0.0092, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 37.9640) [0.0092, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 37.9640) [0.5092, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 37.9640) [0.5092, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 3.7964) [0.1574, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 3.7964) [0.1574, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 3.7964) [0.6574, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 3.7964) [0.6574, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 11.3892) [0.1574, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 11.3892) [0.1574, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 11.3892) [0.6574, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 11.3892) [0.6574, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 18.9820) [0.1574, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 18.9820) [0.1574, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 18.9820) [0.6574, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 18.9820) [0.6574, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 26.5748) [0.1574, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 26.5748) [0.1574, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 26.5748) [0.6574, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 26.5748) [0.6574, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 34.1676) [0.1574, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 34.1676) [0.1574, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 34.1676) [0.6574, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 34.1676) [0.6574, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 41.7604) [0.1574, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 41.7604) [0.1574, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 41.7604) [0.6574, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 41.7604) [0.6574, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 0.0000) [0.2454, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 0.0000) [0.2454, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 0.0000) [0.7454, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 0.0000) [0.7454, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 7.5928) [0.2454, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 7.5928) [0.2454, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 7.5928) [0.7454, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 7.5928) [0.7454, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 15.1856) [0.2454, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 15.1856) [0.2454, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 15.1856) [0.7454, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 15.1856) [0.7454, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 22.7784) [0.2454, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 22.7784) [0.2454, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 22.7784) [0.7454, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 22.7784) [0.7454, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 30.3712) [0.2454, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 30.3712) [0.2454, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 30.3712) [0.7454, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 30.3712) [0.7454, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 37.9640) [0.2454, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 37.9640) [0.2454, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 37.9640) [0.7454, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 37.9640) [0.7454, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 3.7964) [0.4213, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 3.7964) [0.4213, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 3.7964) [0.9213, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 3.7964) [0.9213, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 11.3892) [0.4213, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 11.3892) [0.4213, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 11.3892) [0.9213, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 11.3892) [0.9213, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 18.9820) [0.4213, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 18.9820) [0.4213, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 18.9820) [0.9213, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 18.9820) [0.9213, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 26.5748) [0.4213, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 26.5748) [0.4213, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 26.5748) [0.9213, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 26.5748) [0.9213, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 34.1676) [0.4213, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 34.1676) [0.4213, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 34.1676) [0.9213, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 34.1676) [0.9213, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 41.7604) [0.4213, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 41.7604) [0.4213, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 41.7604) [0.9213, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 41.7604) [0.9213, 0.9213, 0.9167]},\n",
       "   'charges': [-2, -1, 0, 1, 2],\n",
       "   'Possible_KV_Charge': -2},\n",
       "  {'name': 'vac_3_I',\n",
       "   'unique_site': PeriodicSite: I (4.2062, 0.1345, 0.0000) [0.2454, 0.0092, 0.0000],\n",
       "   'bulk_supercell_site': PeriodicSite: I (4.2062, 0.1345, 0.0000) [0.2454, 0.0092, 0.0000],\n",
       "   'defect_type': 'vacancy',\n",
       "   'site_specie': 'I',\n",
       "   'site_multiplicity': 144,\n",
       "   'supercell': {'size': [1, 1, 1],\n",
       "    'structure': Structure Summary\n",
       "    Lattice\n",
       "        abc : 16.824716568 16.824716568023042 45.5567970276\n",
       "     angles : 90.0 90.0 59.999996185342084\n",
       "     volume : 11168.100436063269\n",
       "          A : 16.824716568 0.0 0.0\n",
       "          B : 8.4123592541 14.5706313993 0.0\n",
       "          C : 0.0 0.0 45.5567970276\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 0.0000) [0.0000, 0.0000, 0.0000]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 0.0000) [0.0000, 0.5000, 0.0000]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 0.0000) [0.5000, 0.0000, 0.0000]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 0.0000) [0.5000, 0.5000, 0.0000]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 7.5928) [0.0000, 0.0000, 0.1667]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 7.5928) [0.0000, 0.5000, 0.1667]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 7.5928) [0.5000, 0.0000, 0.1667]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 7.5928) [0.5000, 0.5000, 0.1667]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 15.1856) [0.0000, 0.0000, 0.3333]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 15.1856) [0.0000, 0.5000, 0.3333]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 15.1856) [0.5000, 0.0000, 0.3333]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 15.1856) [0.5000, 0.5000, 0.3333]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 22.7784) [0.0000, 0.0000, 0.5000]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 22.7784) [0.0000, 0.5000, 0.5000]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 22.7784) [0.5000, 0.0000, 0.5000]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 22.7784) [0.5000, 0.5000, 0.5000]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 30.3712) [0.0000, 0.0000, 0.6667]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 30.3712) [0.0000, 0.5000, 0.6667]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 30.3712) [0.5000, 0.0000, 0.6667]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 30.3712) [0.5000, 0.5000, 0.6667]\n",
       "    PeriodicSite: Cs (0.0000, 0.0000, 37.9640) [0.0000, 0.0000, 0.8333]\n",
       "    PeriodicSite: Cs (4.2062, 7.2853, 37.9640) [0.0000, 0.5000, 0.8333]\n",
       "    PeriodicSite: Cs (8.4124, 0.0000, 37.9640) [0.5000, 0.0000, 0.8333]\n",
       "    PeriodicSite: Cs (12.6185, 7.2853, 37.9640) [0.5000, 0.5000, 0.8333]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 3.7964) [0.1667, 0.1667, 0.0833]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 3.7964) [0.1667, 0.6667, 0.0833]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 3.7964) [0.6667, 0.1667, 0.0833]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 3.7964) [0.6667, 0.6667, 0.0833]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 11.3892) [0.1667, 0.1667, 0.2500]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 11.3892) [0.1667, 0.6667, 0.2500]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 11.3892) [0.6667, 0.1667, 0.2500]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 11.3892) [0.6667, 0.6667, 0.2500]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 18.9820) [0.1667, 0.1667, 0.4167]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 18.9820) [0.1667, 0.6667, 0.4167]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 18.9820) [0.6667, 0.1667, 0.4167]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 18.9820) [0.6667, 0.6667, 0.4167]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 26.5748) [0.1667, 0.1667, 0.5833]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 26.5748) [0.1667, 0.6667, 0.5833]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 26.5748) [0.6667, 0.1667, 0.5833]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 26.5748) [0.6667, 0.6667, 0.5833]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 34.1676) [0.1667, 0.1667, 0.7500]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 34.1676) [0.1667, 0.6667, 0.7500]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 34.1676) [0.6667, 0.1667, 0.7500]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 34.1676) [0.6667, 0.6667, 0.7500]\n",
       "    PeriodicSite: Cs (4.2062, 2.4284, 41.7604) [0.1667, 0.1667, 0.9167]\n",
       "    PeriodicSite: Cs (8.4124, 9.7138, 41.7604) [0.1667, 0.6667, 0.9167]\n",
       "    PeriodicSite: Cs (12.6185, 2.4284, 41.7604) [0.6667, 0.1667, 0.9167]\n",
       "    PeriodicSite: Cs (16.8247, 9.7138, 41.7604) [0.6667, 0.6667, 0.9167]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 1.8982) [0.3333, 0.3333, 0.0417]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 1.8982) [0.3333, 0.8333, 0.0417]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 1.8982) [0.8333, 0.3333, 0.0417]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 1.8982) [0.8333, 0.8333, 0.0417]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 9.4910) [0.3333, 0.3333, 0.2083]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 9.4910) [0.3333, 0.8333, 0.2083]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 9.4910) [0.8333, 0.3333, 0.2083]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 9.4910) [0.8333, 0.8333, 0.2083]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 17.0838) [0.3333, 0.3333, 0.3750]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 17.0838) [0.3333, 0.8333, 0.3750]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 17.0838) [0.8333, 0.3333, 0.3750]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 17.0838) [0.8333, 0.8333, 0.3750]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 24.6766) [0.3333, 0.3333, 0.5417]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 24.6766) [0.3333, 0.8333, 0.5417]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 24.6766) [0.8333, 0.3333, 0.5417]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 24.6766) [0.8333, 0.8333, 0.5417]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 32.2694) [0.3333, 0.3333, 0.7083]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 32.2694) [0.3333, 0.8333, 0.7083]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 32.2694) [0.8333, 0.3333, 0.7083]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 32.2694) [0.8333, 0.8333, 0.7083]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 39.8622) [0.3333, 0.3333, 0.8750]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 39.8622) [0.3333, 0.8333, 0.8750]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 39.8622) [0.8333, 0.3333, 0.8750]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 39.8622) [0.8333, 0.8333, 0.8750]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 5.6946) [0.3333, 0.3333, 0.1250]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 5.6946) [0.3333, 0.8333, 0.1250]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 5.6946) [0.8333, 0.3333, 0.1250]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 5.6946) [0.8333, 0.8333, 0.1250]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 13.2874) [0.3333, 0.3333, 0.2917]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 13.2874) [0.3333, 0.8333, 0.2917]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 13.2874) [0.8333, 0.3333, 0.2917]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 13.2874) [0.8333, 0.8333, 0.2917]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 20.8802) [0.3333, 0.3333, 0.4583]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 20.8802) [0.3333, 0.8333, 0.4583]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 20.8802) [0.8333, 0.3333, 0.4583]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 20.8802) [0.8333, 0.8333, 0.4583]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 28.4730) [0.3333, 0.3333, 0.6250]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 28.4730) [0.3333, 0.8333, 0.6250]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 28.4730) [0.8333, 0.3333, 0.6250]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 28.4730) [0.8333, 0.8333, 0.6250]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 36.0658) [0.3333, 0.3333, 0.7917]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 36.0658) [0.3333, 0.8333, 0.7917]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 36.0658) [0.8333, 0.3333, 0.7917]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 36.0658) [0.8333, 0.8333, 0.7917]\n",
       "    PeriodicSite: Pb (8.4124, 4.8569, 43.6586) [0.3333, 0.3333, 0.9583]\n",
       "    PeriodicSite: Pb (12.6185, 12.1422, 43.6586) [0.3333, 0.8333, 0.9583]\n",
       "    PeriodicSite: Pb (16.8247, 4.8569, 43.6586) [0.8333, 0.3333, 0.9583]\n",
       "    PeriodicSite: Pb (21.0309, 12.1422, 43.6586) [0.8333, 0.8333, 0.9583]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 0.0000) [0.2454, 0.5092, 0.0000]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 0.0000) [0.7454, 0.0092, 0.0000]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 0.0000) [0.7454, 0.5092, 0.0000]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 7.5928) [0.2454, 0.0092, 0.1667]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 7.5928) [0.2454, 0.5092, 0.1667]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 7.5928) [0.7454, 0.0092, 0.1667]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 7.5928) [0.7454, 0.5092, 0.1667]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 15.1856) [0.2454, 0.0092, 0.3333]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 15.1856) [0.2454, 0.5092, 0.3333]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 15.1856) [0.7454, 0.0092, 0.3333]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 15.1856) [0.7454, 0.5092, 0.3333]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 22.7784) [0.2454, 0.0092, 0.5000]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 22.7784) [0.2454, 0.5092, 0.5000]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 22.7784) [0.7454, 0.0092, 0.5000]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 22.7784) [0.7454, 0.5092, 0.5000]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 30.3712) [0.2454, 0.0092, 0.6667]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 30.3712) [0.2454, 0.5092, 0.6667]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 30.3712) [0.7454, 0.0092, 0.6667]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 30.3712) [0.7454, 0.5092, 0.6667]\n",
       "    PeriodicSite: I (4.2062, 0.1345, 37.9640) [0.2454, 0.0092, 0.8333]\n",
       "    PeriodicSite: I (8.4124, 7.4199, 37.9640) [0.2454, 0.5092, 0.8333]\n",
       "    PeriodicSite: I (12.6185, 0.1345, 37.9640) [0.7454, 0.0092, 0.8333]\n",
       "    PeriodicSite: I (16.8247, 7.4199, 37.9640) [0.7454, 0.5092, 0.8333]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 3.7964) [0.4213, 0.1574, 0.0833]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 3.7964) [0.4213, 0.6574, 0.0833]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 3.7964) [0.9213, 0.1574, 0.0833]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 3.7964) [0.9213, 0.6574, 0.0833]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 11.3892) [0.4213, 0.1574, 0.2500]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 11.3892) [0.4213, 0.6574, 0.2500]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 11.3892) [0.9213, 0.1574, 0.2500]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 11.3892) [0.9213, 0.6574, 0.2500]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 18.9820) [0.4213, 0.1574, 0.4167]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 18.9820) [0.4213, 0.6574, 0.4167]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 18.9820) [0.9213, 0.1574, 0.4167]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 18.9820) [0.9213, 0.6574, 0.4167]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 26.5748) [0.4213, 0.1574, 0.5833]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 26.5748) [0.4213, 0.6574, 0.5833]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 26.5748) [0.9213, 0.1574, 0.5833]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 26.5748) [0.9213, 0.6574, 0.5833]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 34.1676) [0.4213, 0.1574, 0.7500]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 34.1676) [0.4213, 0.6574, 0.7500]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 34.1676) [0.9213, 0.1574, 0.7500]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 34.1676) [0.9213, 0.6574, 0.7500]\n",
       "    PeriodicSite: I (8.4124, 2.2939, 41.7604) [0.4213, 0.1574, 0.9167]\n",
       "    PeriodicSite: I (12.6185, 9.5792, 41.7604) [0.4213, 0.6574, 0.9167]\n",
       "    PeriodicSite: I (16.8247, 2.2939, 41.7604) [0.9213, 0.1574, 0.9167]\n",
       "    PeriodicSite: I (21.0309, 9.5792, 41.7604) [0.9213, 0.6574, 0.9167]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 0.0000) [0.0092, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 0.0000) [0.0092, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 0.0000) [0.5092, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 0.0000) [0.5092, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 7.5928) [0.0092, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 7.5928) [0.0092, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 7.5928) [0.5092, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 7.5928) [0.5092, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 15.1856) [0.0092, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 15.1856) [0.0092, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 15.1856) [0.5092, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 15.1856) [0.5092, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 22.7784) [0.0092, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 22.7784) [0.0092, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 22.7784) [0.5092, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 22.7784) [0.5092, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 30.3712) [0.0092, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 30.3712) [0.0092, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 30.3712) [0.5092, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 30.3712) [0.5092, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (2.2196, 3.5754, 37.9640) [0.0092, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (6.4258, 10.8607, 37.9640) [0.0092, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (10.6320, 3.5754, 37.9640) [0.5092, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (14.8381, 10.8607, 37.9640) [0.5092, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 3.7964) [0.1574, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 3.7964) [0.1574, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 3.7964) [0.6574, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 3.7964) [0.6574, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 11.3892) [0.1574, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 11.3892) [0.1574, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 11.3892) [0.6574, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 11.3892) [0.6574, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 18.9820) [0.1574, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 18.9820) [0.1574, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 18.9820) [0.6574, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 18.9820) [0.6574, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 26.5748) [0.1574, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 26.5748) [0.1574, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 26.5748) [0.6574, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 26.5748) [0.6574, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 34.1676) [0.1574, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 34.1676) [0.1574, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 34.1676) [0.6574, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 34.1676) [0.6574, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (6.1928, 6.1384, 41.7604) [0.1574, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (10.3989, 13.4237, 41.7604) [0.1574, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (14.6051, 6.1384, 41.7604) [0.6574, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (18.8113, 13.4237, 41.7604) [0.6574, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 0.0000) [0.2454, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 0.0000) [0.2454, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 0.0000) [0.7454, 0.2454, 0.0000]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 0.0000) [0.7454, 0.7454, 0.0000]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 7.5928) [0.2454, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 7.5928) [0.2454, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 7.5928) [0.7454, 0.2454, 0.1667]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 7.5928) [0.7454, 0.7454, 0.1667]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 15.1856) [0.2454, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 15.1856) [0.2454, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 15.1856) [0.7454, 0.2454, 0.3333]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 15.1856) [0.7454, 0.7454, 0.3333]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 22.7784) [0.2454, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 22.7784) [0.2454, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 22.7784) [0.7454, 0.2454, 0.5000]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 22.7784) [0.7454, 0.7454, 0.5000]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 30.3712) [0.2454, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 30.3712) [0.2454, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 30.3712) [0.7454, 0.2454, 0.6667]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 30.3712) [0.7454, 0.7454, 0.6667]\n",
       "    PeriodicSite: I (6.1928, 3.5754, 37.9640) [0.2454, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (10.3989, 10.8607, 37.9640) [0.2454, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (14.6051, 3.5754, 37.9640) [0.7454, 0.2454, 0.8333]\n",
       "    PeriodicSite: I (18.8113, 10.8607, 37.9640) [0.7454, 0.7454, 0.8333]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 3.7964) [0.4213, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 3.7964) [0.4213, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 3.7964) [0.9213, 0.4213, 0.0833]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 3.7964) [0.9213, 0.9213, 0.0833]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 11.3892) [0.4213, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 11.3892) [0.4213, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 11.3892) [0.9213, 0.4213, 0.2500]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 11.3892) [0.9213, 0.9213, 0.2500]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 18.9820) [0.4213, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 18.9820) [0.4213, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 18.9820) [0.9213, 0.4213, 0.4167]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 18.9820) [0.9213, 0.9213, 0.4167]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 26.5748) [0.4213, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 26.5748) [0.4213, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 26.5748) [0.9213, 0.4213, 0.5833]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 26.5748) [0.9213, 0.9213, 0.5833]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 34.1676) [0.4213, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 34.1676) [0.4213, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 34.1676) [0.9213, 0.4213, 0.7500]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 34.1676) [0.9213, 0.9213, 0.7500]\n",
       "    PeriodicSite: I (10.6320, 6.1384, 41.7604) [0.4213, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (14.8381, 13.4237, 41.7604) [0.4213, 0.9213, 0.9167]\n",
       "    PeriodicSite: I (19.0443, 6.1384, 41.7604) [0.9213, 0.4213, 0.9167]\n",
       "    PeriodicSite: I (23.2505, 13.4237, 41.7604) [0.9213, 0.9213, 0.9167]},\n",
       "   'charges': [-1, 0, 1],\n",
       "   'Possible_KV_Charge': 1}]}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vacancies_only"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "{'number': 194,\n",
       " 'hall_number': 488,\n",
       " 'international': 'P6_3/mmc',\n",
       " 'hall': '-P 6c 2c',\n",
       " 'choice': '',\n",
       " 'transformation_matrix': array([[2., 2., 0.],\n",
       "        [0., 2., 0.],\n",
       "        [0., 0., 6.]]),\n",
       " 'origin_shift': array([0.66666676, 0.33333326, 0.24999999]),\n",
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       "         [ 0,  1,  0],\n",
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       " \n",
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       " \n",
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       "         [ 0,  0,  1]],\n",
       " \n",
       "        ...,\n",
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       " \n",
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       " \n",
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       "         [ 0,  0,  1]]], dtype=int32),\n",
       " 'translations': array([[0.        , 0.        , 0.        ],\n",
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       "        ...,\n",
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       "        [0.66666663, 0.16666674, 0.91666667],\n",
       "        [0.49999987, 0.5       , 0.83333333]]),\n",
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       " 'site_symmetry_symbols': ['-6m2',\n",
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       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96], dtype=int32),\n",
       " 'equivalent_atoms': array([ 0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,\n",
       "         0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,\n",
       "         0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 48, 48, 48,\n",
       "        48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48,\n",
       "        48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48,\n",
       "        48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,\n",
       "        96, 96], dtype=int32),\n",
       " 'primitive_lattice': array([[ 0.        ,  0.        ,  7.5927995 ],\n",
       "        [ 4.20617866, -7.2853157 ,  0.        ],\n",
       "        [ 8.41235828,  0.        ,  0.        ]]),\n",
       " 'mapping_to_primitive': array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "        1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "        2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,\n",
       "        3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,\n",
       "        4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,\n",
       "        5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,\n",
       "        6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7,\n",
       "        7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8,\n",
       "        8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9,\n",
       "        9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n",
       "       dtype=int32),\n",
       " 'std_lattice': array([[ 8.41235804,  0.        ,  0.        ],\n",
       "        [-4.20617902,  7.28531577,  0.        ],\n",
       "        [ 0.        ,  0.        ,  7.5927995 ]]),\n",
       " 'std_types': array([1, 1, 2, 2, 3, 3, 3, 3, 3, 3], dtype=int32),\n",
       " 'std_positions': array([[0.66666667, 0.33333333, 0.25      ],\n",
       "        [0.33333333, 0.66666667, 0.75      ],\n",
       "        [0.        , 0.        , 0.5       ],\n",
       "        [0.        , 0.        , 0.        ],\n",
       "        [0.17589991, 0.35179981, 0.25      ],\n",
       "        [0.82410009, 0.64820019, 0.75      ],\n",
       "        [0.17589991, 0.82410009, 0.25      ],\n",
       "        [0.82410009, 0.17589991, 0.75      ],\n",
       "        [0.64820019, 0.82410009, 0.25      ],\n",
       "        [0.35179981, 0.17589991, 0.75      ]]),\n",
       " 'std_rotation_matrix': array([[1., 0., 0.],\n",
       "        [0., 1., 0.],\n",
       "        [0., 0., 1.]]),\n",
       " 'std_mapping_to_primitive': array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype=int32),\n",
       " 'pointgroup': '6/mmm'}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "finder = SpacegroupAnalyzer(perfect_supercell)\n",
    "# finder.get_space_group_symbol()\n",
    "finder.get_symmetry_dataset()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Term-1\n",
    "#### 2H\n",
    "* Host Supercell = -.24237682E+03 (eV)\n",
    "* Defect Supercell V_Im1 -.23427055E+03 (eV) V_I0  -.23832325E+03 (eV) V_Ip1 -.24169497E+03 (eV)\n",
    "\n",
    "#### 3C\n",
    "* Host Supercell = -.18071272E+03 (eV)\n",
    "* Defect Supercell  V_Im1 = -.17334602E+03 (eV) V_I0 = -.17661731E+03 (eV) V_Ip1 = -.17972965E+03 (eV)\n",
    "\n",
    "#### Term-2\n",
    "#### Chemical potential for I \n",
    "*  -.70230425E+01/4 = -1.755760625 (eV)\n",
    "(https://materialsproject.org/materials/mp-23153/)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Term-3\n",
    "#### VBM \n",
    "3C Evbm 1.4319 eV\n",
    "2H Evbm 2.0072 eV"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Corrections for Charged Defects (Kumagai)\n",
    "#### Term-4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Dielectic constant (https://github.com/WMD-group/wmd-wiki/wiki/Dielectric-constants)\n",
    "\n",
    "2H : 8.916213 8.916213 9.253357\n",
    "3C : 11.888466 11.888466 11.879046\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "from doped.pycdt.utils.parse_calculations import SingleDefectParser\n",
    "from doped import dope_stuff\n",
    "from doped.pycdt.utils import parse_calculations\n",
    "import numpy as np\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No transformation file exists at /Users/youngwonwoo/Dropbox/work/CsPbI3/8H3C/01/transformation.json.\n",
      "Calculating defect index manually (proceed with caution)\n",
      "Uncorrected energy: -1.023 eV\n",
      "Manually fed mpid = None\n",
      "WARNING: No mp-id provided, will fetch CBM/VBM details from the bulk calculation.\n",
      "Note that it would be better to perform real band structure calculation...\n",
      "Defect entry corrections:\n",
      "{'charge_correction': -0.0738530756430067, 'bandfilling_correction': -0.0, 'bandedgeshifting_correction': 0.0}\n",
      "Corrected energy: -1.097 eV \n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.8/site-packages/doped-0.0.3-py3.8.egg/doped/pycdt/utils/parse_calculations.py:728: UserWarning: \n",
      "Delocalization analysis has indicated that Vac_I_mult12\n",
      "with charge 1 may not be compatible with the chosen charge correction\n",
      "scheme, and may require a larger supercell for accurate calculation of the energy. Recommended to\n",
      "look at the correction plots (i.e. run `get_correction_freysoldt(DefectEntry,...,plot=True)` from\n",
      "`doped.pycdt.corrections.finite_size_charge_correction`) to visually determine if\n",
      "charge correction scheme still appropriate, then `sdp.compatibility.perform_freysoldt(DefectEntry)`\n",
      "if you're happy (replace 'freysoldt' with 'kumagai' if using anisotropic correction).\n",
      "You can also change the DefectCompatibility() tolerance settings via the `compatibility` parameter\n",
      "in `SingleDefectParser.from_paths()`.\n",
      "Watch out that if `num_hole_vbm` or `num_elec_cbm` are greater than the free_chg_cutoff (default\n",
      "2.1), charge correction will not be applied.\n",
      "  warnings.warn(message=delocalized_warning, stacklevel=1)\n"
     ]
    }
   ],
   "source": [
    "bulk_file_path = \"/Path/\"\n",
    "dielectric = np.array([[42, 0, 0], [0., 42, 0], [0, 0, 30]])\n",
    "parsed_vac_I_dict = {}\n",
    "defect_charge = +1\n",
    "\n",
    "\n",
    "defect_file_path = f\"/Path/\"\n",
    "sdp = parse_calculations.SingleDefectParser.from_paths(defect_file_path, bulk_file_path,\n",
    "                                        dielectric, defect_charge,\n",
    "                                            initial_defect_structure=f\"/Path/\") # Best to use your actual un-relaxed starting defect structure here, if possible\n",
    "print(f\"Uncorrected energy: {sdp.defect_entry.uncorrected_energy:.3f} eV\")\n",
    "bo = sdp.kumagai_loader()\n",
    "sdp.get_stdrd_metadata()\n",
    "\n",
    "# We've also added actual_bulk optional argument to pycdt.utils.parse_calculations.SingleDefectParser.get_bulk_gap_data(), in case we're\n",
    "# looking at defect complexes (so the SingleDefectParser 'bulk' is actually the original point defect, with the wrong pmg-computed gap)\n",
    "sdp.get_bulk_gap_data(no_MP=True, actual_bulk_path=None)\n",
    "sdp.run_compatibility()\n",
    "print(\"Defect entry corrections:\")\n",
    "print(sdp.defect_entry.corrections)\n",
    "print(f\"Corrected energy: {sdp.defect_entry.energy:.3f} eV\", \"\\n\")\n",
    "parsed_vac_I_dict = sdp.defect_entry # Keep dictionary of parsed defect entries\n",
    "# Note that the PyCDT/pymatgen kumagai correction scheme uses the atomic core potentials from the OUTCAR"
   ]
  }
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