{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Band Alignment Plotting Tutorial\n",
    "\n",
    "In this tutorial we will exemplify how to plot a band alignment diagram using data from previous calculations, resulting in a figure similar to the one below.\n",
    "\n",
    "![](./jacs.jpeg)\n",
    "\n",
    "## The input data\n",
    "\n",
    "The function requires a dictionary matching the material names to their band edges (EA, IP), as shown below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "energies = {\n",
    "    'ZnO': [4.4, 7.7], \n",
    "    'MOF-5': [2.7, 7.3],\n",
    "    'HKUST-1': [5.1, 6.0], \n",
    "    'ZIF-8': [0.9, 6.4], \n",
    "    'COF-1M': [1.3, 4.7], \n",
    "    'CPO-27-Mg': [2.9, 5.9],\n",
    "    'MIL-125': [3.8, 7.6], \n",
    "    'TiO2': [4.8, 7.8]\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run the function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure saved as BandAlignment.pdf\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 14400x3600 with 2 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import macrodensity as md\n",
    "\n",
    "fig = md.plotting.energy_band_alignment_diagram(\n",
    "    energies=energies,\n",
    ")\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can improve the plot above by adding a bit of space at the bottom and reducing the size of the arrow heads. We can do this using the options `ylims` and `arrowhead`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure saved as BandAlignment.pdf\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 14400x4500 with 2 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig = md.plotting.energy_band_alignment_diagram(energies, ylims=(-10, 0.0), arrowhead=0.15)\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adding reference lines\n",
    "\n",
    "Finally, we can also add reference lines to show the redox potentials of water. \n",
    "To do this, we define a dictionary for the reference points, where the key is the name of the reference point and the value is the potential (where the potential is referenced against the vacuum level, just like the EA/IP are). Then we pass this dictionary to the plotting function with the flag `references`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure saved as BandAlignment.pdf\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 14400x4500 with 2 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "water_redox = {'E(H$_2$O/O$_2$)': 5.75, 'E(H$^+$/H$_2$)': 4.40}\n",
    "\n",
    "fig = md.plotting.energy_band_alignment_diagram(\n",
    "    energies,\n",
    "    ylims=(-10, 0),\n",
    "    arrowhead=0.15, \n",
    "    references=water_redox,\n",
    ")\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, if we want to tweak the colour scheme, we can use the `cols` option:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure saved as BandAlignment.pdf\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 14400x4500 with 2 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig = md.plotting.energy_band_alignment_diagram(\n",
    "    energies,\n",
    "    ylims=(-10, 0),\n",
    "    arrowhead=0.15, \n",
    "    cols=['#e6711e','#1e93e6'],\n",
    "    references=water_redox,\n",
    "    textsize=24 # Increase font size\n",
    ")\n",
    "fig"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}