{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pure substance phase diagrams\n",
    "\n",
    "## Goal of this notebook\n",
    "\n",
    "- Learn how to generate and work with phase diagrams.\n",
    "- Learn what `PhaseEquilibrium` objects are and how to use them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import feos\n",
    "import si_units as si\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_context('talk')\n",
    "sns.set_palette('Dark2')\n",
    "sns.set_style('ticks')\n",
    "colors = sns.palettes.color_palette('Dark2', 8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Read parameters from json for a single substance and generate `PcSaft` object"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "|component|molarweight|m|sigma|epsilon_k|\n",
       "|-|-|-|-|-|\n",
       "|hexane|86.177|3.0576|3.7983|236.77|"
      ],
      "text/plain": [
       "[\n",
       "  {\n",
       "    \"identifier\": {\n",
       "      \"cas\": \"110-54-3\",\n",
       "      \"name\": \"hexane\",\n",
       "      \"iupac_name\": \"hexane\",\n",
       "      \"smiles\": \"CCCCCC\",\n",
       "      \"inchi\": \"InChI=1/C6H14/c1-3-5-6-4-2/h3-6H2,1-2H3\",\n",
       "      \"formula\": \"C6H14\"\n",
       "    },\n",
       "    \"molarweight\": 86.177,\n",
       "    \"m\": 3.0576,\n",
       "    \"sigma\": 3.7983,\n",
       "    \"epsilon_k\": 236.77\n",
       "  }\n",
       "]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "parameters = feos.Parameters.from_json(\n",
    "    ['hexane'], \n",
    "    '../../../parameters/pcsaft/gross2001.json'\n",
    ")\n",
    "parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "pcsaft = feos.EquationOfState.pcsaft(parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## The `PhaseDiagram` object\n",
    "\n",
    "A `PhaseDiagram` object contains multiple thermodyanmic states at phase equilibrium.\n",
    "**For a single substance** it can be constructed via the `PhaseDiagram.pure` method by providing \n",
    "\n",
    "- an equation of state,\n",
    "- the minimum temperature, and\n",
    "- the number of points to compute.\n",
    "\n",
    "The points are evenly distributed between the defined minimum temperature and the critical temperature which is either computed (default) or can be provided via the `critical_temperature` argument.\n",
    "\n",
    "Furthermore, we can define options for the numerics:\n",
    "- `max_iter` to define the maximum number of iterations for the phase equilibrium calculations, and\n",
    "- `tol` to set the tolerance used for deterimation of phase equilibria.\n",
    "\n",
    "A `Verbosity` object can be provided via the `verbosity` argument to print intermediate calculations to the screen.\n",
    "\n",
    "Starting from the minimum temperature, phase equilibria are computed in sequence using prior results (i.e. at prior temperature) as input for the next iteration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "phase_diagram = feos.PhaseDiagram.pure(pcsaft, min_temperature=200*si.KELVIN, npoints=501)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "|temperature|density|\n",
       "|-|-|\n",
       "|200.00000 K|12.21572 mmol/m³|"
      ],
      "text/plain": [
       "T = 200.00000 K, ρ = 12.21572 mmol/m³"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "phase_diagram.vapor[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stored information\n",
    "\n",
    "A `PhaseDiagram` object contains the following *fields*:\n",
    "\n",
    "- `states`: a list (with length of `npoints`) of `PhaseEquilibrium` objects at the different temperatures,\n",
    "- `vapor` and `liquid`: so-called `StateVec` objects that can be used to compute properties for the vapor and liquid phase, respectively.\n",
    "\n",
    "The `to_dict` *method* can be used to conveniently generate a `pandas.DataFrame` object (see below)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Building a `pandas.DataFrame`: the `to_dict` method\n",
    "\n",
    "\n",
    "The `PhaseDiagramPure` object contains some physical properties (such as densities, temperatures and pressures) as well as the `PhaseEquilibrium` objects at each temperature.\n",
    "\n",
    "Before we take a look at these objects, a useful tool when working with phase diagrams is the `to_dict` method. It generates a Python dictionary of some properties (with hard-coded units, see the docstring of `to_dict`). This dictionary can readily be used to generate a `pandas.DataFrame`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>temperature</th>\n",
       "      <th>pressure</th>\n",
       "      <th>density liquid</th>\n",
       "      <th>density vapor</th>\n",
       "      <th>molar enthalpy liquid</th>\n",
       "      <th>molar enthalpy vapor</th>\n",
       "      <th>molar entropy liquid</th>\n",
       "      <th>molar entropy vapor</th>\n",
       "      <th>mass density liquid</th>\n",
       "      <th>mass density vapor</th>\n",
       "      <th>specific enthalpy liquid</th>\n",
       "      <th>specific enthalpy vapor</th>\n",
       "      <th>specific entropy liquid</th>\n",
       "      <th>specific entropy vapor</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>200.000000</td>\n",
       "      <td>20.312763</td>\n",
       "      <td>8539.589591</td>\n",
       "      <td>0.012216</td>\n",
       "      <td>-37.322054</td>\n",
       "      <td>-0.000147</td>\n",
       "      <td>-0.074718</td>\n",
       "      <td>-1.879119e-07</td>\n",
       "      <td>735.916212</td>\n",
       "      <td>0.001053</td>\n",
       "      <td>-433.086018</td>\n",
       "      <td>-0.001703</td>\n",
       "      <td>-0.867028</td>\n",
       "      <td>-0.000002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>200.638669</td>\n",
       "      <td>21.816282</td>\n",
       "      <td>8532.663964</td>\n",
       "      <td>0.013078</td>\n",
       "      <td>-37.281784</td>\n",
       "      <td>-0.000157</td>\n",
       "      <td>-0.074497</td>\n",
       "      <td>-2.001300e-07</td>\n",
       "      <td>735.319382</td>\n",
       "      <td>0.001127</td>\n",
       "      <td>-432.618726</td>\n",
       "      <td>-0.001819</td>\n",
       "      <td>-0.864466</td>\n",
       "      <td>-0.000002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>201.277337</td>\n",
       "      <td>23.418684</td>\n",
       "      <td>8525.749142</td>\n",
       "      <td>0.013994</td>\n",
       "      <td>-37.241570</td>\n",
       "      <td>-0.000167</td>\n",
       "      <td>-0.074277</td>\n",
       "      <td>-2.130365e-07</td>\n",
       "      <td>734.723484</td>\n",
       "      <td>0.001206</td>\n",
       "      <td>-432.152081</td>\n",
       "      <td>-0.001943</td>\n",
       "      <td>-0.861915</td>\n",
       "      <td>-0.000002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>201.916006</td>\n",
       "      <td>25.125608</td>\n",
       "      <td>8518.845002</td>\n",
       "      <td>0.014967</td>\n",
       "      <td>-37.201412</td>\n",
       "      <td>-0.000179</td>\n",
       "      <td>-0.074058</td>\n",
       "      <td>-2.266637e-07</td>\n",
       "      <td>734.128506</td>\n",
       "      <td>0.001290</td>\n",
       "      <td>-431.686083</td>\n",
       "      <td>-0.002073</td>\n",
       "      <td>-0.859376</td>\n",
       "      <td>-0.000003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>202.554674</td>\n",
       "      <td>26.942961</td>\n",
       "      <td>8511.951422</td>\n",
       "      <td>0.015999</td>\n",
       "      <td>-37.161309</td>\n",
       "      <td>-0.000191</td>\n",
       "      <td>-0.073841</td>\n",
       "      <td>-2.410451e-07</td>\n",
       "      <td>733.534438</td>\n",
       "      <td>0.001379</td>\n",
       "      <td>-431.220733</td>\n",
       "      <td>-0.002212</td>\n",
       "      <td>-0.856848</td>\n",
       "      <td>-0.000003</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   temperature   pressure  density liquid  density vapor  \\\n",
       "0   200.000000  20.312763     8539.589591       0.012216   \n",
       "1   200.638669  21.816282     8532.663964       0.013078   \n",
       "2   201.277337  23.418684     8525.749142       0.013994   \n",
       "3   201.916006  25.125608     8518.845002       0.014967   \n",
       "4   202.554674  26.942961     8511.951422       0.015999   \n",
       "\n",
       "   molar enthalpy liquid  molar enthalpy vapor  molar entropy liquid  \\\n",
       "0             -37.322054             -0.000147             -0.074718   \n",
       "1             -37.281784             -0.000157             -0.074497   \n",
       "2             -37.241570             -0.000167             -0.074277   \n",
       "3             -37.201412             -0.000179             -0.074058   \n",
       "4             -37.161309             -0.000191             -0.073841   \n",
       "\n",
       "   molar entropy vapor  mass density liquid  mass density vapor  \\\n",
       "0        -1.879119e-07           735.916212            0.001053   \n",
       "1        -2.001300e-07           735.319382            0.001127   \n",
       "2        -2.130365e-07           734.723484            0.001206   \n",
       "3        -2.266637e-07           734.128506            0.001290   \n",
       "4        -2.410451e-07           733.534438            0.001379   \n",
       "\n",
       "   specific enthalpy liquid  specific enthalpy vapor  specific entropy liquid  \\\n",
       "0               -433.086018                -0.001703                -0.867028   \n",
       "1               -432.618726                -0.001819                -0.864466   \n",
       "2               -432.152081                -0.001943                -0.861915   \n",
       "3               -431.686083                -0.002073                -0.859376   \n",
       "4               -431.220733                -0.002212                -0.856848   \n",
       "\n",
       "   specific entropy vapor  \n",
       "0               -0.000002  \n",
       "1               -0.000002  \n",
       "2               -0.000002  \n",
       "3               -0.000003  \n",
       "4               -0.000003  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(phase_diagram.to_dict(feos.Contributions.Residual))\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(15, 6))\n",
    "ax[0].set_title(f\"saturation pressure of {parameters.pure_records[0].identifier.name}\")\n",
    "sns.lineplot(y=df.pressure, x=1.0/df.temperature, ax=ax[0])\n",
    "\n",
    "# axis and styling \n",
    "ax[0].set_yscale('log')\n",
    "ax[0].set_xlabel(r'$\\frac{1}{T}$ / K$^{-1}$')\n",
    "ax[0].set_ylabel(r'$p$ / Pa')\n",
    "ax[0].set_xlim(0.002, 0.005)\n",
    "ax[0].set_ylim(1e1, 1e7)\n",
    "\n",
    "ax[1].set_title(r\"$T$-$\\rho$-diagram of {}\".format(parameters.pure_records[0].identifier.name))\n",
    "sns.lineplot(y=df.temperature, x=df['density vapor'], ax=ax[1], color=colors[0])\n",
    "sns.lineplot(y=df.temperature, x=df['density liquid'], ax=ax[1], color=colors[0])\n",
    "\n",
    "# axis and styling \n",
    "ax[1].set_ylabel(r'$T$ / K')\n",
    "ax[1].set_xlabel(r'$\\rho$ / mol/m³')\n",
    "ax[1].set_ylim(200, 600)\n",
    "ax[1].set_xlim(0, 9000)\n",
    "\n",
    "sns.despine(offset=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The `PhaseEquilibrium` object\n",
    "\n",
    "A `PhaseEquilibrium` object contains two thermodynamic states (`State` objects) that are in thermal, mechanical and chemical equilibrium.\n",
    "The `PhaseEquilibrium.pure` constructor can be used to compute a phase equilibrium for a single substance. We have to provide the equation of state and either temperature or pressure. Optionally, we can also provide `PhaseEquilibrium` object which can be used as starting point for the calculation which possibly speeds up the computation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "||temperature|density|\n",
       "|-|-|-|\n",
       "|phase 1|300.00000 K|8.86860  mol/m³|\n",
       "|phase 2|300.00000 K|7.51850 kmol/m³|\n"
      ],
      "text/plain": [
       "phase 0: T = 300.00000 K, ρ = 8.86860  mol/m³\n",
       "phase 1: T = 300.00000 K, ρ = 7.51850 kmol/m³"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vle = feos.PhaseEquilibrium.pure(\n",
    "    pcsaft, \n",
    "    temperature_or_pressure=300.0*si.KELVIN\n",
    ")\n",
    "vle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The two equilibrium states can be extracted via the `liquid` and `vapor` getters, respectively. Returned are `State` objects, for which we can now compute any property that is available for the `State` object and the given equation of state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saturation pressure      p_sat(T = 300 K) =   0.22 bar\n",
      "enthalpy of vaporization h_lv (T = 300 K) = 365.83 kJ/kg\n"
     ]
    }
   ],
   "source": [
    "liquid = vle.liquid\n",
    "vapor = vle.vapor\n",
    "\n",
    "assert(abs((liquid.pressure() - vapor.pressure()) / si.BAR) < 1e-10)\n",
    "print(f'saturation pressure      p_sat(T = {liquid.temperature}) = {liquid.pressure() / si.BAR:6.2f} bar')\n",
    "print(f'enthalpy of vaporization h_lv (T = {liquid.temperature}) = {(vapor.specific_enthalpy(feos.Contributions.Residual) - liquid.specific_enthalpy(feos.Contributions.Residual)) / (si.KILO*si.JOULE/si.KILOGRAM):6.2f} kJ/kg')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you want to compute a boiling temperature or saturation pressure without needing the `PhaseEquilibrium` object you can use the\n",
    "\n",
    "- `PhaseEquilibrium.boiling_temperature` and\n",
    "- `PhaseEquilibrium.vapor_pressure`\n",
    "\n",
    "methods. Note that these methods return lists (even for pure substance systems) where each entry contains the pure substance property."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$300\\,\\mathrm{K}$"
      ],
      "text/plain": [
       "299.9999999999178 K"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feos.PhaseEquilibrium.boiling_temperature(pcsaft, liquid.pressure())[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The `states` method returns all `PhaseEquilibrium` objects from `PhaseDiagram`\n",
    "\n",
    "Once a `PhaseDiagram` object is created, we can access all underlying `PhaseEquilibrium` objects via the `states` field.\n",
    "In the following cell, we compute the enthalpy of vaporization by iterating through all states and calling the `specific_enthalpy` method on the vapor and liquid states of the `PhaseEquilibrium` object, respectively.\n",
    "\n",
    "Note that this is merely an example to show how to compute any property of the states. The total value of enthalpy of vaporization may not be correct, depending on the ideal gas model used."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add enthalpy of vaporization to dataframe\n",
    "df['hlv'] = [\n",
    "    (vle.vapor.specific_enthalpy(feos.Contributions.Residual) - vle.liquid.specific_enthalpy(feos.Contributions.Residual)) \n",
    "    / (si.KILO * si.JOULE / si.KILOGRAM) \n",
    "    for vle in phase_diagram.states\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(7, 6))\n",
    "sns.lineplot(y=df.hlv, x=df.temperature, ax=ax)\n",
    "\n",
    "# axis and styling \n",
    "ax.set_xlabel(r'$T$ / K')\n",
    "ax.set_ylabel(r'$\\Delta_{LV} h$ / kJ / kg')\n",
    "ax.set_xlim(200, 600)\n",
    "ax.set_ylim(0, 500)\n",
    "\n",
    "sns.despine(offset=10)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "feos",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
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