{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Building a defect system\n",
    "\n",
    "### the `DefectChargeState` object\n",
    "\n",
    "The smallest \"unit\" of a `DefectSystem` object in `py-sc-fermi` is a `DefectChargeState` object: this is where the formation energies of the defect-which you have likely calculated from a density functional theory study-are defined. Let's take the example of NaCl, a rock salt structured material, and assume the only\n",
    "defects that can form are vacancies, $V_\\mathrm{Na}$\n",
    "and $V_\\mathrm{Cl}$. We'll assume each vacancy has two possible charge states, $V^{0}_\\mathrm{Na}$ and $V^{-1}_\\mathrm{Na}$ and $V^{0}_\\mathrm{Cl}$ and $V^{+1}_\\mathrm{Cl}$. The cell below shows how we might define these defect objects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from py_sc_fermi.defect_charge_state import DefectChargeState\n",
    "\n",
    "v_Na_0 = DefectChargeState(charge= 0, # the charge of the defect\n",
    "                           degeneracy= 1, # see \"note on spin degeneracy\" at the bottom of this notebook\n",
    "                           energy = 1.0 # defect formation energy in eV, we will just use a dummy value here\n",
    ")\n",
    "\n",
    "v_Na_minus_1 = DefectChargeState(charge= -1, degeneracy= 1, energy = 2.0)\n",
    "\n",
    "# repeat for the Cl vacancy\n",
    "\n",
    "v_Cl_0 = DefectChargeState(charge= 0, degeneracy= 1, energy = 1.0)\n",
    "v_Cl_1 = DefectChargeState(charge= 1, degeneracy= 1, energy = -1.0)\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### the `DefectSpecies` object\n",
    "\n",
    "The `DefectSpecies` object collects `DefectChargeStates` together under a single\n",
    "\"kind\" of defect, this is useful for assigning consistent site degeneracies (and specifying different constraints, which we will come to later). These are defined like so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from py_sc_fermi.defect_species import DefectSpecies\n",
    "\n",
    "# defining the Na vacancy\n",
    "\n",
    "v_Na = DefectSpecies(name = \"v_Na\", # the name can be any string, it only needs to be unique in the set of all species\n",
    "                    nsites = 1, # the number of sites on which the defect can form in the unit cell (see usage notes)\n",
    "                    charge_states = {0 : v_Na_0, -1: v_Na_minus_1}) # dictionary of charge states, with the key being the charge and the value being the corresponding DefectChargeState object\n",
    "\n",
    "# defining the Cl vacancy\n",
    "\n",
    "v_Cl = DefectSpecies(name = \"v_Cl\", nsites = 1, charge_states = {0 : v_Cl_0, 1: v_Cl_1})"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### the `DOS` object\n",
    "\n",
    "The `DOS` object contains the density of states information calculated for the \n",
    "unit cell (see usage notes in the documentation for a strict definition of the unit cell)\n",
    "we take data calculated from the [Materials Project](https://materialsproject.org/) for NaCl\n",
    "([mp-22862](https://materialsproject.org/materials/mp-22862)) which we have dumped into a csv file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format='retina'\n",
    "\n",
    "from py_sc_fermi.dos import DOS\n",
    "\n",
    "energy = np.loadtxt('dos.csv', delimiter=',')[0] # the energy range of the DOS information\n",
    "dos = np.loadtxt('dos.csv', delimiter=',')[1] # the (total) DOS\n",
    "\n",
    "dos = DOS(dos = dos,      # the total density of states for the unit cell\n",
    "          edos = energy,  # the energy range of the calculated density of states\n",
    "          bandgap = 5,    # the bandgap in eV (taken from the Materials Project, mp-22862)\n",
    "          nelect = 20,    # the number of electrons in the unit cell calculation\n",
    "          spin_polarised=False) # This dos calculation is not spin polarised"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Putting it all together: the `DefectSystem` object\n",
    "\n",
    "The `DefectSystem` object collects our `DefectSpecies` together, and allows for us to search for the self-consistent Fermi energy. It is defined as below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from py_sc_fermi.defect_system import DefectSystem\n",
    "\n",
    "defect_system = DefectSystem(defect_species = [v_Na, v_Cl], # list of py_sc_fermi.defect_species.DefectSpecies objects\n",
    "             dos = dos, # py_sc_fermi.dos.DOS object\n",
    "             volume = 46.10, # the volume of the unit cell in angstrom^3 (taken from the Materials Project, mp-22862)\n",
    "             temperature = 500) # the temperature in K"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`defect_system.report()` will print a summary of the solved defect system\n",
    "including the the defect concentrations and the self-consistent Fermi energy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Temperature :      500  (K)\n",
      "SC Fermi level :      1.5000000000000888  (eV)\n",
      "Concentrations:\n",
      "n (electrons)  : 3.9275293140313205e-18 cm^-3\n",
      "p (holes)      : 816810.0184325671 cm^-3\n",
      "v_Na           : 1.9793602850305018e+17 cm^-3, (percentage of defective sites: 0.000912 %)\n",
      "v_Cl           : 1.979360285022341e+17 cm^-3, (percentage of defective sites: 0.000912 %)\n",
      "\n",
      "Breakdown of concentrations for each defect charge state:\n",
      "---------------------------------------------------------\n",
      "v_Na       : Charge Concentration(cm^-3) Total\n",
      "           :  0  1.806104e+12          0.00 \n",
      "           : -1  1.979342e+17          100.00 \n",
      "---------------------------------------------------------\n",
      "v_Cl       : Charge Concentration(cm^-3) Total\n",
      "           :  0  1.806104e+12          0.00 \n",
      "           :  1  1.979342e+17          100.00 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "defect_system.report()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Misc. `DefectSystem` analysis\n",
    "\n",
    "There are various analyses we can perform once our defect system is defined, some\n",
    "non-exhaustive examples are included in the cells below:\n",
    "\n",
    "### plot transition level diagrams"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 435,
       "width": 575
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot transition levels\n",
    "\n",
    "# get a dictionary of the lines for a transition level (TL) diagram where the key is the name of the DefectSpecies \n",
    "# the values is a list of lists, where the first list is the x coordinates of the TL profile and the second list\n",
    "# is the y coordinates of the TL profile\n",
    "transition_levels = defect_system.get_transition_levels() \n",
    "\n",
    "# get the self consistent Fermi energy to plot on the TL diagram\n",
    "sc_fermi = defect_system.get_sc_fermi()[0]\n",
    "\n",
    "# plot each defect species TL profile on the full diagram, and label as \n",
    "# the defect species name\n",
    "for k, v in transition_levels.items():\n",
    "    plt.plot(v[0], v[1], \"-o\", label=k)\n",
    "\n",
    "# plot the self consistent Fermi energy\n",
    "plt.vlines(sc_fermi, 0, 2, linestyles=\"dashed\", label = \"SC Fermi level\")\n",
    "\n",
    "plt.ylim(0, 2)\n",
    "plt.xlim(0, 5)\n",
    "plt.legend()\n",
    "plt.ylabel(\"Formation energy / eV\")\n",
    "plt.xlabel(\"Fermi Energy / eV\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### plot defect concentrations as a function of temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 430,
       "width": 571
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the defect concentration as a function of temperature\n",
    "temperatures = np.linspace(400, 3000, 100)\n",
    "v_Cl_conc = []\n",
    "v_Na_conc = []\n",
    "\n",
    "for t in temperatures:\n",
    "    defect_system.temperature = t\n",
    "    concentrations = defect_system.concentration_dict()\n",
    "    v_Cl_conc.append(concentrations[\"v_Cl\"])\n",
    "    v_Na_conc.append(concentrations[\"v_Na\"])\n",
    "\n",
    "plt.plot(temperatures, v_Cl_conc, label=r\"$[V_\\mathrm{Cl}]$\", ls = \"--\")\n",
    "plt.plot(temperatures, v_Na_conc, label=r\"$[V_\\mathrm{Na}]$\", ls = \"--\")\n",
    "plt.yscale(\"log\")\n",
    "plt.legend()\n",
    "plt.ylabel(\"Concentration / cm^-3\")\n",
    "plt.xlabel(\"temperature / K\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### plot defect concentrations as a function of Fermi energy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 430,
       "width": 577
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot defect charge concentrations as a function of Fermi energy\n",
    "\n",
    "fermi_energies = np.linspace(0, 3, 100)\n",
    "\n",
    "# plot the concentrations of the defects as a function of Fermi energy\n",
    "\n",
    "v_Cl_conc = []\n",
    "v_Na_conc = []\n",
    "for e_fermi in fermi_energies:\n",
    "    v_Cl_conc.append(v_Cl.get_concentration(e_fermi, 500) * 1e24 / defect_system.volume)\n",
    "    v_Na_conc.append(v_Na.get_concentration(e_fermi, 500) * 1e24 / defect_system.volume)\n",
    "\n",
    "plt.plot(fermi_energies, v_Cl_conc, label=r\"$[V_\\mathrm{Cl}]$\")\n",
    "plt.plot(fermi_energies, v_Na_conc, label=r\"$[V_\\mathrm{Na}]$\")\n",
    "plt.yscale(\"log\")\n",
    "\n",
    "# plot the concentration of electrons as a function of Fermi energy\n",
    "\n",
    "h_conc = []\n",
    "e_conc = []\n",
    "for e_fermi in fermi_energies:\n",
    "    h_conc.append(dos.carrier_concentrations(e_fermi, 500)[0] * 1e24 / defect_system.volume)\n",
    "    e_conc.append(dos.carrier_concentrations(e_fermi, 500)[1] * 1e24 / defect_system.volume)\n",
    "\n",
    "plt.plot(fermi_energies, h_conc, label=\"$[h^+]$\")\n",
    "plt.plot(fermi_energies, e_conc, label=\"$[e^-]$\")\n",
    "plt.legend()\n",
    "\n",
    "plt.ylabel(\"Concentration / cm^-3\")\n",
    "plt.xlabel(\"Fermi Energy / eV\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Applying concentration constraints\n",
    "\n",
    "### fixing the concentrations of `DefectSpecies`\n",
    "\n",
    "There are a range of constraints we can apply to the concentrations of the defects in \n",
    "a `DefectSystem`, the first example is to fix the concentration of the `DefectSpecies`. \n",
    "This is purely a thought experiment, but may represent a system where barriers for\n",
    "ionic motion are very large, but electronic transport is facile. Here we will look at\n",
    "what happens to the hole concentration if we run our NaCl system at high temperatures, \n",
    "then rerun at low temperatures. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 412,
       "width": 571
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from copy import deepcopy\n",
    "\n",
    "# make a copy of the main defect system\n",
    "live_defect_system = deepcopy(defect_system)\n",
    "\n",
    "# calculate defect and electronic carrier concentrations at high T.\n",
    "live_defect_system.temperature = 1500\n",
    "high_t_defects = live_defect_system.concentration_dict()\n",
    "\n",
    "# repeat at low T\n",
    "low_t_defect_system = deepcopy(defect_system)\n",
    "low_t_defect_system.temperature = 300\n",
    "low_t_defects = low_t_defect_system.concentration_dict()\n",
    "\n",
    "# fix the concentration of the defect species at high T, and then \n",
    "# calculate the concentration of the electron holes at low T\n",
    "fixed_species_defect_system = deepcopy(defect_system)\n",
    "fixed_species_defect_system.temperature = 300\n",
    "fixed_species_defect_system.defect_species_by_name(\"v_Na\").fix_concentration(high_t_defects[\"v_Na\"] / 1e24 * defect_system.volume)\n",
    "fixed_species_defect_system.defect_species_by_name(\"v_Cl\").fix_concentration(high_t_defects[\"v_Cl\"] / 1e24 * defect_system.volume)\n",
    "fixed_species_defects = fixed_species_defect_system.concentration_dict()\n",
    "\n",
    "# plot the results\n",
    "plt.bar([0, 1, 2],  [high_t_defects[\"p0\"], low_t_defects[\"p0\"], fixed_species_defects[\"p0\"]])\n",
    "plt.xticks([0, 1, 2], [\"high T\", \"low T\", \"fixed species\"])\n",
    "plt.ylabel(\"Concentration / cm^-3\")\n",
    "plt.yscale(\"log\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We find the hole concentration in the fixed system (high temperature defect concentrations with electrons and holes recalculated at lower temperatures) is inflated relative to the low temperature system. \n",
    "\n",
    "### fixing the concentrations of `DefectChargeStates`\n",
    "What about if we have a system where we imagine neither ionic defects or their charge states can re-equilibrate on the timescale of interest, here we take high temperature charged defects and fix their concentrations, rerunning at lower temperatures, and find this time, that the hole concentration in the system with fixed concentration charge states ~ to the system calculated at high temperatures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 412,
       "width": 571
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make a copy of the main defect system\n",
    "live_defect_system = deepcopy(defect_system)\n",
    "\n",
    "# calculate defect and electronic carrier concentrations at high T.\n",
    "live_defect_system.temperature = 1500\n",
    "high_t_defects = live_defect_system.concentration_dict(decomposed=True)\n",
    "\n",
    "# repeat at low T\n",
    "low_t_defect_system = deepcopy(defect_system)\n",
    "low_t_defect_system.temperature = 300\n",
    "low_t_defects = low_t_defect_system.concentration_dict(decomposed=True)\n",
    "\n",
    "# fix the concentration of the defect species at high T, and then \n",
    "# calculate the concentration of the electron holes at low T\n",
    "fixed_species_defect_system = deepcopy(defect_system)\n",
    "fixed_species_defect_system.temperature = 300\n",
    "fixed_species_defect_system.defect_species_by_name(\"v_Na\").charge_states[-1].fix_concentration(high_t_defects[\"v_Na\"][-1] / 1e24 * defect_system.volume)\n",
    "fixed_species_defect_system.defect_species_by_name(\"v_Cl\").charge_states[1].fix_concentration(high_t_defects[\"v_Cl\"][1] / 1e24 * defect_system.volume)\n",
    "fixed_species_defects = fixed_species_defect_system.concentration_dict()\n",
    "\n",
    "plt.bar([0, 1, 2],  [high_t_defects[\"p0\"], low_t_defects[\"p0\"], fixed_species_defects[\"p0\"]])\n",
    "plt.xticks([0, 1, 2], [\"high T\", \"low T\", \"fixed charge states\"])\n",
    "plt.ylabel(\"Concentration / cm^-3\")\n",
    "plt.yscale(\"log\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### introducing an additional fixed concentration defect\n",
    "\n",
    "Finally, we can introduce an additional defect to model how the defect concentrations\n",
    "will respond to e.g. the introduction of a charged dopant. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 432,
       "width": 577
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dopant_concentrations = np.logspace(17,20)\n",
    "\n",
    "v_Na_conc = []\n",
    "v_Cl_conc = []\n",
    "p_0 = []\n",
    "n_0 = []\n",
    "for dopant_concentration in dopant_concentrations:\n",
    "    dopant_charge_state = DefectChargeState(1, fixed_concentration = dopant_concentration / 1e24 * defect_system.volume)\n",
    "    dopant_species = DefectSpecies(\"dopant\", 1, charge_states = {1 : dopant_charge_state})\n",
    "    live_defect_system = DefectSystem(defect_species = [dopant_species,\n",
    "                                                        v_Na, v_Cl], volume = defect_system.volume, temperature = 500, dos = defect_system.dos)\n",
    "    defect_data = live_defect_system.concentration_dict()\n",
    "    v_Na_conc.append(defect_data[\"v_Na\"])\n",
    "    v_Cl_conc.append(defect_data[\"v_Cl\"])\n",
    "    p_0.append(defect_data[\"p0\"])\n",
    "    n_0.append(defect_data[\"n0\"])\n",
    "\n",
    "plt.plot(dopant_concentrations, v_Na_conc, label=r\"$V_\\mathrm{Na}$\")\n",
    "plt.plot(dopant_concentrations, v_Cl_conc, label=r\"$V_\\mathrm{Cl}$\")\n",
    "plt.plot(dopant_concentrations, p_0, label=\"$p_0$\")\n",
    "plt.plot(dopant_concentrations, n_0, label=\"$n_0$\")\n",
    "\n",
    "\n",
    "plt.ylabel(\"Concentration / cm^-3\")\n",
    "plt.xlabel(\"Dopant concentration / cm^-3\")\n",
    "plt.yscale(\"log\")\n",
    "plt.xscale(\"log\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  },
  "vscode": {
   "interpreter": {
    "hash": "89b753ff356a3aee657d5b1e355d20c7c6c68a1d22ccd5ebcf062a6c2a010345"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}