documents/tutorials/Using_FastChem2_to_calculate_the_chemical_abundances.ipynb
{
"cells": [
{
"cell_type": "markdown",
"id": "c7675272",
"metadata": {
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},
"source": [
"# Using FastChem2 to calculate the chemical abundances"
]
},
{
"cell_type": "markdown",
"id": "dd1ec6b3",
"metadata": {},
"source": [
"Using FastChem 2.0 (https://github.com/exoclime/FastChem, the updated version of Stock et al. 2018), we can calculate the abundance of various chemical species assuming chemical equilibrium with 1D temperature-pressure atmospheric profile"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "bc4bdccc",
"metadata": {
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"end_time": "2022-01-04T07:02:00.321886Z",
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},
"outputs": [],
"source": [
"import numpy as np\n",
"import astropy.constants as const\n",
"import jax.numpy as jnp\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('bmh')"
]
},
{
"cell_type": "markdown",
"id": "94ac2423",
"metadata": {},
"source": [
"## Temperature-pressure profile "
]
},
{
"cell_type": "markdown",
"id": "14a6656e",
"metadata": {},
"source": [
"First, define the physical parameters of the exoplanet that we want to model, in this case we assume the planet is WASP-33b (Collier Cameron e al. 2010)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8bbfa580",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:00.325406Z",
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},
"outputs": [],
"source": [
"#Input parameter\n",
"#Example for wasp33b\n",
"\n",
"Mp = 3.266 #Planetary mass in Jupiter mass\n",
"Rp = 1.679 #Planetary radius in Jupiter radius\n",
"T_irr= 3100.0 #Temperature equivalence of the irradiation in Kelvin\n",
"T_int= 100. #temperature equivalence of the intrinsic energy flow in Kelvin\n",
"g = const.G.value*Mp* const.M_jup.value/(Rp*const.R_jup.value)**2*100. # cm/s2\n"
]
},
{
"cell_type": "markdown",
"id": "dc8a5d93",
"metadata": {},
"source": [
"Then, we calculate the 1D atmospheric temperature-pressure profile using equation 29 in Guillot (2010). We divide our atmosphere into 70 layers from the pressure of 100 bar to 1e-8 bar."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "aceded61",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:00.814996Z",
"start_time": "2022-01-04T07:02:00.325906Z"
}
},
"outputs": [],
"source": [
"#Pressure array for each layer boundaries in bar\n",
"plist= jnp.logspace(2,-8,70)"
]
},
{
"cell_type": "markdown",
"id": "1f7c1aaf",
"metadata": {},
"source": [
"We then also assume the mean infrared opacity (k_th) of 0.01 cm2 g-1 (if H- is the dominant source of spectral continuum, Arcangeli et al. 2018) and the ratio of optical and IR opacity (kappa_v/kappa_th or gamma) of 2. Gamma > 1 means inverted atmosphere (increasing temperature with altitude), while gamma < 1 means non-inverted atmosphere"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "e0d99be1",
"metadata": {
"ExecuteTime": {
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},
"outputs": [],
"source": [
"k_th= 0.01 \n",
"gamma= 2"
]
},
{
"cell_type": "markdown",
"id": "a3698d75",
"metadata": {},
"source": [
"In the equation 29 in Guillot (2010), there is a f parameter that we need to define. f = 1 for the substellar point, f = 1/2 for a day-side average and f = 1/4 for an averaging over the whole planetary surface. Let's assume f= 1 for now"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "f9889b9e",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:00.832859Z",
"start_time": "2022-01-04T07:02:00.818119Z"
}
},
"outputs": [],
"source": [
"f=1"
]
},
{
"cell_type": "markdown",
"id": "10470592",
"metadata": {},
"source": [
"Now, let's calculate the temperature array based on the above parameters"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "bc61a750",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:01.099876Z",
"start_time": "2022-01-04T07:02:00.833831Z"
}
},
"outputs": [],
"source": [
"#Temperature array calculated using Guillot (2010) equation (29)\n",
"from exojax.atm.atmprof import atmprof_Guillot\n",
"tlist=atmprof_Guillot(plist,g,k_th,gamma,T_int,T_irr,f)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "379146f2",
"metadata": {
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"end_time": "2022-01-04T07:02:01.412381Z",
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"outputs": [
{
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\n",
"text/plain": [
"<Figure size 288x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(4,6))\n",
"plt.plot(tlist,plist,'ko-')\n",
"plt.xlabel(\"Temperature (K)\")\n",
"plt.ylabel(\"log P(bar)\")\n",
"plt.yscale(\"log\")\n",
"plt.gca().invert_yaxis()\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "35e43c82",
"metadata": {},
"source": [
"## Chemical abundances"
]
},
{
"cell_type": "markdown",
"id": "c34ea6f7",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T04:55:07.419761Z",
"start_time": "2022-01-04T04:55:07.406943Z"
}
},
"source": [
"Define the directory of your FastChem, for now assume it is in /mnt/phoe/PlanetSpecGen/FastChem/"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "6b94adef",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:01.414574Z",
"start_time": "2022-01-04T07:02:01.413026Z"
}
},
"outputs": [],
"source": [
"dir_fastchem='/mnt/phoe/PlanetSpecGen/FastChem/'"
]
},
{
"cell_type": "markdown",
"id": "9b8f9ed5",
"metadata": {},
"source": [
"Now, we input our temperature-pressure profile (tlist, plist) to the FastChem"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "1e2b4df9",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:01.584830Z",
"start_time": "2022-01-04T07:02:01.415082Z"
}
},
"outputs": [],
"source": [
"import pyfastchem\n",
"from exojax.atm.fastchem2_call import TP_profile_input, run_fastchem\n",
"\n",
"#Inputting T-P profile to FastChem\n",
"input_data, output_data= TP_profile_input(plist,tlist)"
]
},
{
"cell_type": "markdown",
"id": "cef914bf",
"metadata": {},
"source": [
"Input also the chemical abundances and thermochemical data for all molecules and ions at solar metalicity and C/O"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "39700cfe",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:01.590599Z",
"start_time": "2022-01-04T07:02:01.585697Z"
}
},
"outputs": [],
"source": [
"fastchem = pyfastchem.FastChem(str(dir_fastchem)+\"input/element_abundances_solar_ext.dat\",\n",
" str(dir_fastchem)+\"input/logK_ext.dat\", 1)"
]
},
{
"cell_type": "markdown",
"id": "87d6ec8e",
"metadata": {},
"source": [
"If it is needed, you can also change the C/O ratio to your preferred value. This is done by setting the O abundance as a function of the C/O ratio (MolliƩre et al. 2015)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "83a1879e",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:01.614136Z",
"start_time": "2022-01-04T07:02:01.591113Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"C/O is set to 0.5495408738576247\n"
]
}
],
"source": [
"#C/O= 0.5495408738576247 -> solar C/O\n",
"from exojax.atm.fastchem2_call import set_C_to_O\n",
"set_C_to_O(fastchem, 0.5495408738576247)"
]
},
{
"cell_type": "markdown",
"id": "9a4e165c",
"metadata": {},
"source": [
"Or even change the metallicity ([M/H] or [Fe/H]) as well. This is done by scaling all of the chemical species but H and He for [M/H] or only Fe for [Fe/H]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "5fc03239",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:01.632824Z",
"start_time": "2022-01-04T07:02:01.615209Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[Fe/H] is set to 0\n"
]
}
],
"source": [
"#[M/H]= 0, [Fe/H]=0 -> solar\n",
"from exojax.atm.fastchem2_call import set_Fe_to_H\n",
"set_Fe_to_H(fastchem, 0)"
]
},
{
"cell_type": "markdown",
"id": "a4f46a1c",
"metadata": {},
"source": [
"Finally, now let's run the FastChem 2.0"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "2c0c3643",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:01.769569Z",
"start_time": "2022-01-04T07:02:01.633821Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"FastChem reports: convergence ok\n"
]
}
],
"source": [
"mixing_ratios=run_fastchem(fastchem, input_data, output_data)"
]
},
{
"cell_type": "markdown",
"id": "6cf2dd7d",
"metadata": {},
"source": [
"Plot several important molecular species"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "fe5e0d1c",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:02.251913Z",
"start_time": "2022-01-04T07:02:01.771199Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from exojax.atm.fastchem2_call import vmr_species_fc2\n",
"\n",
"species_name=np.array([\"H2O1\",\"H1O1\",\"C1O1\",\"O1Ti1\",\"O1V1\",\"Fe1H1\"])\n",
"species_label=np.array([\"H$_{2}$O\",\"OH\",\"CO\",\"TiO\",\"VO\",\"FeH\"])\n",
"\n",
"plt.figure(figsize=(8,5))\n",
"ax=plt.subplot(111)\n",
"for label_ind, spec_name in enumerate (species_name):\n",
" ax.plot(vmr_species_fc2(fastchem,mixing_ratios,spec_name),plist,label=species_label[label_ind])\n",
"ax.set_yscale(\"log\")\n",
"ax.set_xscale(\"log\")\n",
"ax.set_xlabel(\"Volume Mixing Ratio\",size=13)\n",
"ax.set_ylabel(\"Pressure (bar)\",size=13)\n",
"plt.legend()\n",
"\n",
"ax2 = ax.twiny()\n",
"ax2.plot(tlist,plist,\"k--\",lw=4,label=\"T-P\")\n",
"ax2.set_xlim(tlist[0]-200,tlist[-1]+200)\n",
"ax2.set_xlabel(\"Temperature (K)\")\n",
"plt.gca().invert_yaxis()\n",
"plt.legend()\n",
"plt.show()\n",
"plt.clf()"
]
},
{
"cell_type": "markdown",
"id": "f043f634",
"metadata": {},
"source": [
"Atomic species..."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "c4567135",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:02.555243Z",
"start_time": "2022-01-04T07:02:02.252625Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from exojax.atm.fastchem2_call import vmr_species_fc2\n",
"\n",
"species_name=np.array([\"Fe\",\"Fe1+\",\"Ti\",\"Ti1+\",\"V\",\"V1+\",\"Si\"])\n",
"species_label=np.array([\"Fe\",\"Fe+\",\"Ti\",\"Ti+\",\"V\",\"V1+\",\"Si\"])\n",
"\n",
"plt.figure(figsize=(8,5))\n",
"ax=plt.subplot(111)\n",
"for label_ind, spec_name in enumerate (species_name):\n",
" ax.plot(vmr_species_fc2(fastchem,mixing_ratios,spec_name),plist,label=species_label[label_ind])\n",
"ax.set_yscale(\"log\")\n",
"ax.set_xscale(\"log\")\n",
"ax.set_xlabel(\"Volume Mixing Ratio\",size=13)\n",
"ax.set_ylabel(\"Pressure (bar)\",size=13)\n",
"plt.legend()\n",
"\n",
"ax2 = ax.twiny()\n",
"ax2.plot(tlist,plist,\"k--\",lw=4,label=\"T-P\")\n",
"ax2.set_xlim(tlist[0]-200,tlist[-1]+200)\n",
"ax2.set_xlabel(\"Temperature (K)\")\n",
"plt.gca().invert_yaxis()\n",
"plt.legend()\n",
"plt.show()\n",
"plt.clf()"
]
},
{
"cell_type": "markdown",
"id": "96a39883",
"metadata": {},
"source": [
"Now for the spectral continuum related species"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "5f1c1d7e",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:02.561610Z",
"start_time": "2022-01-04T07:02:02.555824Z"
}
},
"outputs": [],
"source": [
"from exojax.atm.fastchem2_call import continuum_vmr_fc2\n",
"vmr_continuum=continuum_vmr_fc2(fastchem,mixing_ratios)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "40b8090f",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:02.836125Z",
"start_time": "2022-01-04T07:02:02.562309Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from exojax.atm.fastchem2_call import vmr_species_fc2\n",
"\n",
"species_label=np.array([\"e-\",\"H$^{-}$\",\"H\",\"H$_{2}$\",\"He\"])\n",
"\n",
"plt.figure(figsize=(8,5))\n",
"ax=plt.subplot(111)\n",
"for label_ind, spec_name in enumerate (species_label):\n",
" ax.plot(vmr_continuum[label_ind],plist,label=species_label[label_ind])\n",
" \n",
"ax.set_yscale(\"log\")\n",
"ax.set_xscale(\"log\")\n",
"ax.set_xlabel(\"Volume Mixing Ratio\",size=13)\n",
"ax.set_ylabel(\"Pressure (bar)\",size=13)\n",
"plt.legend()\n",
"\n",
"ax2 = ax.twiny()\n",
"ax2.plot(tlist,plist,\"k--\",lw=4,label=\"T-P\")\n",
"ax2.set_xlim(tlist[0]-200,tlist[-1]+200)\n",
"ax2.set_xlabel(\"Temperature (K)\")\n",
"plt.gca().invert_yaxis()\n",
"plt.legend()\n",
"plt.show()\n",
"plt.clf()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3f8eb7ba",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "69e62acc",
"metadata": {},
"source": [
"And the last one is for the mean molecular weight"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "0c88080f",
"metadata": {
"ExecuteTime": {
"end_time": "2022-01-04T07:02:03.014046Z",
"start_time": "2022-01-04T07:02:02.836650Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 216x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from exojax.atm.fastchem2_call import vmr_species_fc2\n",
"\n",
"MMW=output_data.mean_molecular_weight\n",
"\n",
"plt.figure(figsize=(3,5))\n",
"ax=plt.subplot(111)\n",
"ax.plot(MMW,plist,label=\"MMW\")\n",
"ax.set_yscale(\"log\")\n",
"ax.set_xlabel(\"Mean Molecular Weight\",size=13)\n",
"ax.set_ylabel(\"Pressure (bar)\",size=13)\n",
"plt.legend()\n",
"\n",
"ax2 = ax.twiny()\n",
"ax2.plot(tlist,plist,\"r--\",lw=4,label=\"T-P\")\n",
"ax2.set_xlim(tlist[0]-200,tlist[-1]+200)\n",
"ax2.set_xlabel(\"Temperature (K)\")\n",
"plt.gca().invert_yaxis()\n",
"plt.legend()\n",
"plt.show()\n",
"plt.clf()"
]
}
],
"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": "3.7.11"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 5
}