HajimeKawahara/exojax

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documents/tutorials/Fortrat.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Quatum states of Carbon Monoxide and Fortrat Diagram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We here see the quantum states of Carbon Monoxide. Also, to see how the band head appears, we would like to plot the Fortrat diagram with a given quantum number and interval. \n",
    "To do so, we use optional_quantum_states=True option in api.MdbExomol.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-14T12:03:24.231890Z",
     "iopub.status.busy": "2023-03-14T12:03:24.231562Z",
     "iopub.status.idle": "2023-03-14T12:03:27.338257Z",
     "shell.execute_reply": "2023-03-14T12:03:27.337919Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/kawahara/exojax/src/exojax/utils/molname.py:197: FutureWarning: e2s will be replaced to exact_molname_exomol_to_simple_molname.\n",
      "  warnings.warn(\n",
      "/home/kawahara/exojax/src/exojax/utils/molname.py:91: FutureWarning: exojax.utils.molname.exact_molname_exomol_to_simple_molname will be replaced to radis.api.exomolapi.exact_molname_exomol_to_simple_molname.\n",
      "  warnings.warn(\n",
      "/home/kawahara/exojax/src/exojax/utils/molname.py:91: FutureWarning: exojax.utils.molname.exact_molname_exomol_to_simple_molname will be replaced to radis.api.exomolapi.exact_molname_exomol_to_simple_molname.\n",
      "  warnings.warn(\n",
      "/home/kawahara/exojax/src/exojax/spec/api.py:233: UserWarning: nurange=None. Nonactive mode.\n",
      "  warnings.warn(\"nurange=None. Nonactive mode.\", UserWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HITRAN exact name= (12C)(16O)\n",
      "radis engine =  vaex\n",
      "\t\t => Downloading from http://www.exomol.com/db/CO/12C-16O/Li2015/12C-16O__Li2015.def\n",
      "\t\t => Downloading from http://www.exomol.com/db/CO/12C-16O/Li2015/12C-16O__Li2015.pf\n",
      "\t\t => Downloading from http://www.exomol.com/db/CO/12C-16O/Li2015/12C-16O__Li2015.states.bz2\n",
      "\t\t => Downloading from http://www.exomol.com/db/CO/12C-16O/12C-16O__H2.broad\n",
      "\t\t => Downloading from http://www.exomol.com/db/CO/12C-16O/12C-16O__He.broad\n",
      "\t\t => Downloading from http://www.exomol.com/db/CO/12C-16O/12C-16O__air.broad\n",
      "Note: Caching states data to the vaex format. After the second time, it will become much faster.\n",
      "Molecule:  CO\n",
      "Isotopologue:  12C-16O\n",
      "Background atmosphere:  H2\n",
      "ExoMol database:  None\n",
      "Local folder:  CO/12C-16O/Li2015\n",
      "Transition files: \n",
      "\t => File 12C-16O__Li2015.trans\n",
      "\t\t => Downloading from http://www.exomol.com/db/CO/12C-16O/Li2015/12C-16O__Li2015.trans.bz2\n",
      "\t\t => Caching the *.trans.bz2 file to the vaex (*.h5) format. After the second time, it will become much faster.\n",
      "\t\t => You can deleted the 'trans.bz2' file by hand.\n",
      "DataFrame (self.df) available.\n"
     ]
    }
   ],
   "source": [
    "from exojax.spec import api\n",
    "emf='CO/12C-16O/Li2015'   \n",
    "mdb = api.MdbExomol(emf, None, optional_quantum_states=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check DataFrame. We see Li2015 contains the vibrational states for lower and upper states, v_l, v_u."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-14T12:03:27.341630Z",
     "iopub.status.busy": "2023-03-14T12:03:27.341349Z",
     "iopub.status.idle": "2023-03-14T12:03:27.451497Z",
     "shell.execute_reply": "2023-03-14T12:03:27.450052Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead>\n",
       "<tr><th>#                            </th><th style=\"text-align: right;\">  i_upper</th><th style=\"text-align: right;\">  i_lower</th><th style=\"text-align: right;\">        A</th><th style=\"text-align: right;\">  nu_lines</th><th style=\"text-align: right;\">  gup</th><th style=\"text-align: right;\">  jlower</th><th style=\"text-align: right;\">  jupper</th><th style=\"text-align: right;\">  elower</th><th style=\"text-align: right;\">  v_l</th><th style=\"text-align: right;\">  v_u</th><th>kp_l  </th><th>kp_u  </th><th style=\"text-align: right;\">        Sij0</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr><td><i style='opacity: 0.6'>0</i></td><td style=\"text-align: right;\">       84</td><td style=\"text-align: right;\">       42</td><td style=\"text-align: right;\">1.155e-06</td><td style=\"text-align: right;\">   2.40559</td><td style=\"text-align: right;\">    3</td><td style=\"text-align: right;\">       0</td><td style=\"text-align: right;\">       1</td><td style=\"text-align: right;\"> 66960.7</td><td style=\"text-align: right;\">   41</td><td style=\"text-align: right;\">   41</td><td>e     </td><td>e     </td><td style=\"text-align: right;\">3.81197e-164</td></tr>\n",
       "<tr><td><i style='opacity: 0.6'>1</i></td><td style=\"text-align: right;\">       83</td><td style=\"text-align: right;\">       41</td><td style=\"text-align: right;\">1.161e-06</td><td style=\"text-align: right;\">   2.44177</td><td style=\"text-align: right;\">    3</td><td style=\"text-align: right;\">       0</td><td style=\"text-align: right;\">       1</td><td style=\"text-align: right;\"> 65819.9</td><td style=\"text-align: right;\">   40</td><td style=\"text-align: right;\">   40</td><td>e     </td><td>e     </td><td style=\"text-align: right;\">9.66303e-162</td></tr>\n",
       "</tbody>\n",
       "</table>"
      ],
      "text/plain": [
       "  #    i_upper    i_lower          A    nu_lines    gup    jlower    jupper    elower    v_l    v_u  kp_l    kp_u            Sij0\n",
       "  0         84         42  1.155e-06     2.40559      3         0         1   66960.7     41     41  e       e       3.81197e-164\n",
       "  1         83         41  1.161e-06     2.44177      3         0         1   65819.9     40     40  e       e       9.66303e-162"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mdb.df[0:2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Rovib transition changes both rotational and vibrational quantum states. We here investigate the vibrational quantum state $\\nu$. Let's check how many $\\Delta \\nu$ Li2015 database contains:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-14T12:03:27.466812Z",
     "iopub.status.busy": "2023-03-14T12:03:27.465267Z",
     "iopub.status.idle": "2023-03-14T12:03:27.507354Z",
     "shell.execute_reply": "2023-03-14T12:03:27.506023Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "dv = mdb.df[\"v_u\"]-mdb.df[\"v_l\"]\n",
    "np.unique(dv.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, we have 12 different $\\Delta \\nu$. Let's plot them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-14T12:03:27.522525Z",
     "iopub.status.busy": "2023-03-14T12:03:27.516929Z",
     "iopub.status.idle": "2023-03-14T12:03:28.454228Z",
     "shell.execute_reply": "2023-03-14T12:03:28.453930Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(15, 4))\n",
    "ax = fig.add_subplot(111)\n",
    "for i, udv in enumerate(np.unique(dv.values)):\n",
    "    mask = dv == udv\n",
    "    mdf = mdb.df[mask]\n",
    "    ax.plot(\n",
    "        mdf[\"nu_lines\"].values,\n",
    "        mdf[\"Sij0\"].values,\n",
    "        \".\",\n",
    "        alpha=0.3,\n",
    "        color=\"gray\",\n",
    "    )\n",
    "    ax.text(\n",
    "        np.sum(mdf[\"nu_lines\"].values * mdf[\"Sij0\"].values)\n",
    "        / np.sum(mdf[\"Sij0\"].values),\n",
    "        1.0e2 * np.max(mdf[\"Sij0\"].values),\n",
    "        \"$\\\\Delta \\\\nu=$\" + str(udv),\n",
    "    )\n",
    "\n",
    "for mic in [0.5, 1, 2, 3, 4, 5, 10, 20]:\n",
    "    x = 1.0e4 / mic\n",
    "    plt.axvline(x, alpha=0.2, color=\"gray\")\n",
    "    plt.text(x, 1.0e-39, str(mic) + \" $\\\\mu$m\", rotation=\"vertical\")\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.0e-41, 1.0e-13)\n",
    "plt.tick_params(labelsize=14)\n",
    "plt.xlabel(\"wavenumber (cm-1)\", fontsize=14)\n",
    "plt.ylabel(\"line strength\", fontsize=14)\n",
    "plt.savefig(\"co_dnu.png\", bbox_inches=\"tight\", pad_inches=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's go deeper! Expand this for $\\Delta \\nu=2$ (K-band feature)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-14T12:03:28.460492Z",
     "iopub.status.busy": "2023-03-14T12:03:28.460188Z",
     "iopub.status.idle": "2023-03-14T12:03:30.378848Z",
     "shell.execute_reply": "2023-03-14T12:03:30.378542Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dv = mdb.df[\"v_u\"] - mdb.df[\"v_l\"]\n",
    "dJ = mdb.df[\"jupper\"] - mdb.df[\"jlower\"]\n",
    "\n",
    "fig = plt.figure(figsize=(10, 5))\n",
    "for i, vl in enumerate(np.unique(mdb.df[\"v_l\"].values)):\n",
    "    mask = (dv == 2) * (dJ == 1) * (mdb.df[\"v_l\"] == vl)\n",
    "    vdf = mdb.df[mask]\n",
    "    plt.plot(vdf[\"nu_lines\"].values, vdf[\"Sij0\"].values, \".\", color=\"black\")\n",
    "    if i < 10:\n",
    "        plt.text(\n",
    "            np.nanmean(vdf[\"nu_lines\"].values),\n",
    "            8 * np.nanmax(vdf[\"Sij0\"].values),\n",
    "            \"$\\\\nu_{lower}=$\" + str(vl),\n",
    "            fontsize=12,\n",
    "        )\n",
    "    mask = (dv == 2) * (dJ == -1) * (mdb.df[\"v_l\"] == vl)\n",
    "    vdf = mdb.df[mask]\n",
    "    plt.plot(vdf[\"nu_lines\"].values, vdf[\"Sij0\"].values, \".\", color=\"gray\")\n",
    "\n",
    "for mic in [2.3, 2.5, 2.7]:\n",
    "    x = 1.0e4 / mic\n",
    "    plt.axvline(x, alpha=0.2, color=\"gray\")\n",
    "    plt.text(x, 1.0e-60, str(mic) + \" $\\\\mu$m\", rotation=\"vertical\")\n",
    "\n",
    "plt.text(3800.0, 1.0e-25, \"$\\\\Delta J$ = -1, P-branch\", color=\"gray\", fontsize=14)\n",
    "plt.text(4380.0, 1.0e-25, \"$\\\\Delta J$ = 1, R-branch\", color=\"black\", fontsize=14)\n",
    "plt.yscale(\"log\")\n",
    "plt.ylim(1.0e-61, 1.0e-13)\n",
    "plt.xlim(3500, 4620)\n",
    "plt.tick_params(labelsize=14)\n",
    "plt.xlabel(\"wavenumber (cm-1)\", fontsize=14)\n",
    "plt.ylabel(\"line strength\", fontsize=14)\n",
    "plt.savefig(\"co_dnu_expand.png\", bbox_inches=\"tight\", pad_inches=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using DataFrame, we pick up the lines with $\\Delta \\nu = 2$, $\\Delta J = \\pm 1$ (R, P-branch), and $\\nu = 0$ here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-14T12:03:30.383358Z",
     "iopub.status.busy": "2023-03-14T12:03:30.382257Z",
     "iopub.status.idle": "2023-03-14T12:03:30.387637Z",
     "shell.execute_reply": "2023-03-14T12:03:30.387381Z"
    }
   },
   "outputs": [],
   "source": [
    "dv = mdb.df[\"v_u\"]-mdb.df[\"v_l\"]\n",
    "dJ = mdb.df[\"jupper\"] - mdb.df[\"jlower\"]\n",
    "vmask = mdb.df[\"v_l\"] == 0\n",
    "mask_R = (dv == 2) * (dJ == 1) * vmask\n",
    "mask_P = (dv == 2) * (dJ == -1) * vmask\n",
    "\n",
    "df_R = mdb.df[mask_R]\n",
    "df_P = mdb.df[mask_P]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot the Fortrat diagram. The y-axis of the Fortart diagram is $J_\\mathrm{upper}$ for R-branch and $- J_\\mathrm{lower}$ for P-branch."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-14T12:03:30.392304Z",
     "iopub.status.busy": "2023-03-14T12:03:30.391563Z",
     "iopub.status.idle": "2023-03-14T12:03:30.670975Z",
     "shell.execute_reply": "2023-03-14T12:03:30.670678Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure(figsize=(15,5))\n",
    "plt.plot(df_R[\"nu_lines\"].values,df_R[\"jupper\"].values,\"+\",alpha=0.8, color=\"black\",label=\"R-branch\")\n",
    "plt.plot(df_P[\"nu_lines\"].values,- df_P[\"jupper\"].values,\"*\",alpha=0.8, color=\"gray\",label=\"P-branch\")\n",
    "plt.tick_params(labelsize=16)\n",
    "plt.xlabel(\"wavenumber (cm-1)\", fontsize=18)\n",
    "plt.ylabel(\"$\\\\mathcal{J}$\", fontsize=18)\n",
    "plt.legend(fontsize=16)\n",
    "plt.title(emf+\" $\\\\Delta \\\\nu = 2, \\\\nu_\\\\mathrm{lower} = 0$\",fontsize=18)\n",
    "plt.xlim(4000.,4400)\n",
    "plt.ylim(-50,150)\n",
    "plt.savefig(\"fortrat.png\",  bbox_inches=\"tight\", pad_inches=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.8 ('base')",
   "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": "3.10.9"
  },
  "vscode": {
   "interpreter": {
    "hash": "72bc7f8b1808a6f5ada3c6a20601509b8b1843160436d276d47f2ba819b3753b"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}