{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Henry's constant calculations\n", "\n", "In this notebook we'll calculate the characteristic Henry's constant at zero\n", "loading. Unlike fitting the entire isotherm with a Henry model, these methods\n", "will attempt to fit a straight line only on the initial part of the isotherm.\n", "First, make sure the data is imported." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Selected 5 isotherms with nitrogen at 77K\n", "Selected 2 room temperature calorimetry isotherms\n", "Selected 2 isotherms for IAST calculation\n", "Selected 3 isotherms for isosteric enthalpy calculation\n" ] } ], "source": [ "# import isotherms\n", "%run import.ipynb\n", "\n", "# import the characterisation module\n", "import pygaps.characterisation as pgc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Slope method\n", "\n", "The slope method of calculating Henry's fits a linear henry model to the\n", "isotherm points. If the model does not fit, it goes to progressively lower\n", "pressures until it finds a good fit. For data that is very non-linear, this fit\n", "might be between p=0 and the first isotherm point." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Calculated K = 5.549e+04\n", "Starting points: 42\n", "Selected points: 2\n", "Final adjusted RMSE: 5.32e-13\n", "Calculated K = 6.977e+05\n", "Starting points: 91\n", "Selected points: 7\n", "Final adjusted RMSE: 0.0061\n", "55485.962663510676 697654.2592115065\n" ] }, { "data": { "image/png": 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" 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Slope method\n", "isotherm = next(i for i in isotherms_n2_77k if i.material == 'MCM-41')\n", "h1 = pgc.initial_henry_slope(isotherm, max_adjrms=0.01, logx=True, verbose=True)\n", "\n", "isotherm = next(i for i in isotherms_n2_77k if i.material == 'UiO-66(Zr)')\n", "h2 = pgc.initial_henry_slope(isotherm, max_adjrms=0.01, logx=True, verbose=True)\n", "\n", "print(h1, h2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Virial method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The virial method uses a virial model to fit the data and then obtain the Henry\n", "constant from the value of the virial function at n=0. If the data is fitted\n", "well by a virial model, the resulting Henry constant will be very accurate." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to model using Virial\n", "Model Virial success, RMSE is 0.2174\n", "Attempting to model using Virial\n", "Model Virial success, RMSE is 0.494\n", "194297.38100718585 1365637.221525526\n" ] }, { "data": { "image/png": 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" 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" 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" 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CF75QISQiZU0BdRS2bdvGbbfdRi6j0GDTYHu3CpYvP45LX/HXCiMRkVEUUHnKNZzcoW9gkN5Bp35eI9dceRnLliwucpUiIlOXAioPuYZT/8AgGx5p51UvfzHv/puXMXtmXZErFBGZ+hRQOUqlUtx+++2TCqfDA4M8susA9YuXcfdn3sqSxnkhVCgiMj0ooHJ0zz330N/fT0VFxVAngtEqa2r5719vprImxvp3/AN/9bwzQ65SRGTqU0DlIJVKDTUmzRZOgxifuPsxnnv6Sr50/etojM8Os0QRkWlDAZWDe+65ZyiYzOyIw3x7B6r44u82c+2lF3LTtWuGunWLiEjuFFA52Lx5M8DQ4b3a2loOHz4MwGM9dWz4zUb++5+u5i2vvDDKMkVEpgX9X/xJSqVSHDgQNFOfO3cuZkZvby8A/VSw4Tcbufmf/17hJCJSIAqoSWpubh76fd++fTQ2Ng4d7mt9eh//8uqLecMrXhxVeSIi044CapJ27NhBXV0dZsbg4CCpVAqAgUGnNnEMH3ztZdEWKCIyzSigJiGVStHW1kZ3dzfz5s3DzOjv78fd2bTvMJ9551pNiBARKTD9VZ2E5uZmBgcHqaurI5VKDR3e6x90XvHylzFv9qyJ30RERHKigJqE9vZ2Fi1axLXXXksymSRWW8vB3gEOWxVXvfQFUZcnIjItKaAmIZFI0NbWxl133UV7ezvb93YRq6rg9OesiLo0EZFpSwE1CStXrmRgYIDW1la2b9/OYNdeKs144fOaoi5NRGTaUkBNwiOPPEJFRQWnnXYaVjuTB9u6sArL+w66IiIyMQXUJGTOQV166aX8ZNtBNh2uZvGiRbS3t0ddmojItKWAmoQ5c+bw9NNP85nPrqP2YAeXrTqJXbt2kUgkoi5NRGTaUkBNIJVK8dhjj+HutO9q49wlc6jc/WdqampoatI5KBGRYlFATaC5uZm+vj6uvvpqdvZV0dE9gJmxYsUK4vF41OWJiExbCqgJtLe3s3DhQo49djlfbtmCLTqRxYsXs3///qhLExGZ1hRQE8hcA9Xc+jAHD/dw1vJFtLW16fyTiEiRKaAm0NTURE1NDT/77rd4z3nHsb21WeefRERCoICaBHfHAcOGnouISHEpoCaQmSTx85193Hd4Jm94wxvo6+sbcX8oEREpPAXUBNrb21mwYAF/3NrGScsW0djYyMKFC3WRrohIkSmgJhBMkthFXcUgJyxO0NHRoUkSIiIhUEBNYOXKlWDwpnOW0bXpj6xbt45YLKZJEiIiRaaAGkcqleKOO+5gcGCAA70D9Pf2YGasWbNGF+mKiBSZAmoczc3N9PT04IuexX/99s/849prcXd1MRcRCYECahyZLhI79neTiM9myeJFmiAhIhISBdQ4Ml0kOlP7SMydrQkSIiIhUkCNo6mpiVgsxknVB3nJklpNkBARCZECahzxeJw1a9aQ6hlgZhU0NjZqgoSISEhKJqDM7Eoz+5WZdZpZ/6h1f2dmvzGzfWa228x+ZGanFrumzCy+2TUVDFbW0NHRwR133EEqlSr2rkVEyl7JBBSwD7gZeNsY6+qBfwOWAkuA+4GfmFldMQvKzOL77B+2EVt2Eq973evo6elRmyMRkRCUTEC5+4/d/WvAk2Os+193/6m7H3T3HuBDwELgpGLW1N7ezvyGBnYf6mPurJlqcyQiEqKSCagcvQg4BGwea6WZXWtmLWbW0tHRkfdOEokEuzs6aJhRTf2MWs3iExEJ0ZQLKDN7NvA54O3u3jXWNu5+i7sn3T3Z2NiY976ampqoqq7h9auWseuR+zSLT0QkRFMqoMxsJXAX8DF3/2yx9xePx1l1wYW07NhPTU0NyWSStWvXahafiEgIpkxAmdlZwN3ATe7+kTD2mUqleOLRh0nMqmHO3Hk0NTUpnEREQlIyAWVmlWZWC9Skn9emH2ZmfwH8HHifu386jHpSqRTr169n17Yt1FRWsP3JP7F+/XpNMRcRCUnJBBRwNdAN/BioTP/eDRwL/AcwB/gvMzsw7HFesYrJTDFfdEqSz923nb+67G80xVxEJERVUReQ4e63AbdlWX1BeJUEMo1ieyuqAVi8cKGmmIuIhKiURlAlJdMo9tCBTgAOdu7XFHMRkRApoLLINIo9+MRD/OPZS/nql7+kKeYiIiFSQGURj8dZu3Yt1M+jt3+Qs88+W1PMRURCpIAaRzwep6c+wVcf2sVFF12kcBIRCZECahypVAr27eTq0xdx5513aoq5iEiIFFBZZK6DqulOEauqoKWlRddBiYiESAGVReY6qPa6BXxn837dakNEJGQKqCwy10EdGjBqqqt0qw0RkZApoLLIXAdl/b1UVVbqVhsiIiFTQGWRuQ5q2eBeXnbsTN1qQ0QkZAqoLDLXQe31GP2D6FYbIiIhK5lefKUoHo+zY6COzR2dfGb16qjLEREpKxpBTaB/YICqSn1MIiJh01/ecaRSKRZXdPMXjVW6UFdEJGQKqCwyF+ouqOqnqsJ0oa6ISMgUUFlkLtS970A1LfsrdKGuiEjIFFBZZC7U7eobpLKiQhfqioiETAGVReZC3boKp6LCdKGuiEjIFFBZZC7UPXfOIGfO6teFuiIiIVNAZZG5UPepbhjEdKGuiEjIdKHuOOLxOI90OvFZMT6hC3VFREKlEdQEBj04ByUiIuFSQE1gcNCpMH1MIiJh01/eCQz6oEZQIiIRUECNI5VKcfLsCp5dfUitjkREQqaAyiLT6ui4+goqDLU6EhEJmQIqi0yro5/u6OGJwXq1OhIRCZkCKotMq6P9vYNUmKnVkYhIyCZ9HZSZfT3PfbzL3bfm+drIJBIJWlpaqK8yzJ5pdZRMJqMuTUSkLORyoe7lwB+Bzklub8B5wE3A1tzKil5TUxMbN27kpcf002udanUkIhKyXDtJvMHdfz+ZDc2sCujNvaTSkGl19IYPfJRj4jUkk2fT1NSkVkciIiHJJaA+AGzPYfuB9GuezqmiEhKPx7mvoxfmLma1Wh2JiIRq0gHl7h/I5Y3d3QkCakpzd8x0oa6ISNg0i28CQUBFXYWISPk5qoAys1sKVUipcsBQQomIhO1oR1DT+sRMKpUi2RhjycA+tToSEQnZhAFlZgNZHoPAkhBqjESm1dGKeA0VuFodiYiEbDIjqJ3AQnevHPWooIAz9MzsSjP7lZl1mln/GOv/zsyeMLNDZvY7Mzu7UPseS6bV0Xe3dLGjer5aHYmIhGwyAfVdYEWWdXcWsJZ9wM3A20avMLPnA58B3gDMBf4f8EMzm13A/Y+QaXWU6hnE1OpIRCR0EwaUu7/R3e/Nsm5toQpx9x+7+9eAJ8dYvRb4lrv/xN17gI8CPcClhdr/aIlEgra2NmbXBFMkMq2OEolEsXYpIiLDTJVp5qcD92WepK+x+mN6+RHM7FozazGzlo6Ojrx22NTURCwW45LjZ7O4b49aHYmIhCzngDKz9cUoZAL1wP5Ry1LAmIf43P0Wd0+6e7KxsTGvHWZaHT26r4dBjGQyydq1a9XqSEQkJLn24gN4UcGrmFgXMGfUsjjwRDF3Go/H+V1bN/VLjlerIxGRkE2VQ3wPAmdlnljQe+iM9PKiCo4miohI2EomoMys0sxqgZr089r0w4D1wCvN7EVmVgO8HagFvh1ObWHsRUREhsvnEF+xXA3cOux5d/rnce5+r5m9kSCoFgEbgZe5+2TvTZU3jaBERKJRMgHl7rcBt42z/kvAl8KqZzj14hMRCV8+h/h2FLyKEpVKpWhaNIPGnt3qxSciErKcA8rdzytGIaUm04tv5bxaKhhULz4RkZCVzCSJUpPpxffNP6Vor12gXnwiIiHL6xyUmT0KPEAwzftBoNXdp9Whv6FefH/chRnqxSciErJ8R1C3A+cCHwJ+AGwzs91m9nMz+7iZXZKeDj5lZXrxxWOVgHrxiYiELd+AGgQ6gRcAxwDPBT5M0PX8NcDnCELrskIUGYVML77LnxWnsXuXevGJiIQs34C6Drje3e919x3u/nt3/yhwMrCZIKQ+BHzFzKJojXTUMr34Ht7TzSAV6sUnIhKyfK+DquLI3ni4+34z+xDwr+5+jpmtAN4H/PwoaoxMPB7nN08fpOG4FerFJyISsnxHUN8G3m9m88dY108wkgL4IZDMcx8iIlLG8g2odwCHgCfM7P1mdpaZLTWz8wkO7T2W3q73KPYhIiJlLK9DfO6+z8yeC7wXeDPwb+lVBjwFXJ5+ngS2HG2RUVIrPhGRaOQ9unH3Xnf/ALCA4FYYLwfOAU509z+kN/sN8M6jrjIiqVSKv1gyk/nd7Wp1JCISMpvu3bqTyaS3tLTk/LpMq6OuAwcZqIpRZwPEYjHN5BMRKTAzu8/dj5ivoPNDWWRaHX398X3smbFQrY5EREI26YAys8piFlJqMq2O9vX0A2p1JCIStlxGUIfM7H4zu9XM3mpm55vZ3KJVFrFMq6O5sUrM1OpIRCRsuczi+3vgNOAM4F0Ed7Z1M9vOM01jHwAedPfNhS0zfE1NTWzcuJG/WTGPgYNtanUkIhKyvCdJmFkDcCZBaJ1OEFwnEYTeQXevL1CNRyXfSRIQTJR47ftu5KSFc3lB8gyampo0QUJEpMCyTZLI+5bv7r4b+Gn6kdlJNXAKQWhNefF4nF/vOMCC409SqyMRkZDlHVBmNge4CFgC7ATudfdtwB/TDxERkbzle8PC04CfAI0Et92YQ3A+6kfA66bTzQun+3ViIiKlKt/roD5NMEpqdPe5wCzgYoLAajazRQWqrySYWdQliIiUnXwD6izg4+6+F8DdD7n7D4DnAY8DNxWoPhERKVP5BtRe4Ihbbbj7APBJgnNTU14qleL5S2YRP7hLvfhEREKWb0DdQXA/qLEu1DWOYvJFqcj04julYQYVPkhLSwvr169XSImIhCTfgPo3oAt4yMzea2arzOwYM3sh8O/ArwpWYUQyvfjueGwPe2ctUi8+EZGQ5RVQ7t4NnA98haCrRDOwFbiL4I66by5MedHJ9OLbe3gAUC8+EZGwHc39oA67+7uABHAuwf2gTnX3pLs/VagCozLUi69WvfhERKJw1OeK3L0PyK+XUAnL9OK78qT5DB7YqV58IiIhy2sEZWYxM3u9mX3CzP7VzC41sxMKXVyU4vE4a9euZePuQzgVJJNJ3axQRCRE+Y6gvgpcAjwEzASWA2ZmB4GHCTqav74QBUYpHo9z7/YDLH7WSvXiExEJWb4BdSHwFne/GcDM6oBTCZrEZh4iIiJ5yzegtgFbMk/Ss/p+n36IiIgctXxn8d0EvLGQhYiIiAyX73VQtwNbzeynZvaX6ftAiYiIFEy+s/jeDrwJeBHwM+CAmT1oZl8ys7eb2UsKWWRUUqkUz186i/gB9eITEQlbvof4/gX4MsHsvZOBvwN+AMwD3grcWYjiRjOzhWZ2h5l1mNk+M/uFmZ1ejH1levGd2jADQ734RETClm9A9QG3ufs2d3/U3e9w9+vd/a/cfRljdDovkJsJQnAFsIDgAuHvWxFu2JTpxbfhsT3sUy8+EZHQ5RtQXyY4vDcmd0/l+b4TORH4hrvvdfde4PPAUooQiEO9+Lr7AfXiExEJW74B9WfgKjN7k5lVFrKgCXwUuMzMGsysFrgWuNfddw/fyMyuNbMWM2vp6OjIa0cjevFh6sUnIhIyc/fcX2R2AJiRfroPuBd4AHiQoIvEE4UqcNR+jwduIRi9DQBPARe5+2PZXpNMJr2lJfdWgZlzUF0HDjJYHaOWAWKxmNodiYgUmJnd5+7J0cvzHUHVA88CLgM+BfQCVwJfB/5kZl35FpqNmVUQzBjcBMwhCMj/BH5lZgsKvb+hXnwd6sUnIhKFvDpJeDDseiL9+HZmefqw2ynpR6HNA44DPu3unellnzOzDwNNwP8VeofxeJxfbe9iybNPVi8+EZGQ5RVQZhYDXkMwm24vsBFodfcnCWbWFfz2G+6+28w2AW80s/cAPQTT2+vT+xcRkWlkqnUzv4RgosSfgWpgM3BFOhhFRGQamVLdzN39UeCvivHeIiJSWtTNXERESpK6mY8jlUpx3tJ65hxoUy8+EZGQqZt5FkO9+BrVi09EJArqZp5Fphff1x7dTWrWYvXiExEJ2ZTqZh6moV58hwcA9eITEQlbvpMkhrqZp58/CtyRWWlm8aOsK3KJRIKWlpagF58904svmTyiG4eIiBTBVOtmHpqmpiZisRivek4Dc7qeZt26dcRiMZqamqIuTUSkLEy1buahyfTia+04hJupF5+ISMjyDagPEZx/+jTQbmb/Z2YfMLNXmtkJBasuYplefJ2zFrF69WqFk4hIiPI9B1UPHE/QMeLU9ONKgskTFWZ20N3rC1OiiIiUo6nUzVxERMpIviOoMbn7YYrUzVxERMrLpM9Bmdk/mVlO9ztPv6Yh97JERKTc5TJJ4hPAsZPdOD277xPAslyLKhWZXnyzD+xULz4RkZDlcojPgBvNbG8O209ZmV58pzXOYNCdlpYWNm7cqKnmIiIhyWUE9UugEmic5KMh/ZquAtYbmkwvvq8+upv99erFJyIStkmPoNz9/CLWUXIyvfj2/X4HoF58IiJhy/dC3WkvkUjQ1tbG3NqgUUamF18ikdM8ERERyZMCKgv14hMRiZYCKgv14hMRiZYCahzqxSciEh0FlIiIlCQFlIiIlKS8evGZ2QvGWT0IdAKPu3tPXlWJiEjZy7dZ7N2AD3tuo54DHDazzwHXuftAnvsREZEyle8hvhcD24DPAi8Dkumf64CngL8BbgTWAh88+jKjoV58IiLRseDWTjm+yOxbQKu73zDGuhuAs939r9O/X+Puy4+uzPwlk0lvacn97h+ZXnxdBw4yWF1LLf3EYjFNNRcRKTAzu8/dk6OX5zuCuhC4N8u6XwMXpH//JbAoz31ESr34RESilW9A7QUuzrLu4vR6gBnA/jz3EamhXnyHg9Nn6sUnIhKufCdJfAT4bzNbDnwP6CDoYP4KgnNRb0lvdwHwh6OsMRKJRIKWlpYjevElk0eMQkVEpAjyCih3/x8z2wG8F/jf9Pv0Aw8Ar3T376Q3vRHoPfoyw9fU1MTGjRt51XMaGFQvPhGR0OV9oa67f9vdzwFqCc4z1br7OcPCCXff7e6dR19m+NSLT0QkWvke4gPAzJ4NLCUIKcyeuYmuu//wqCorAZlefMesOIXVq1dHXY6ISFnJt5PESuAOYCVj39rdCe6+KyIikpd8R1DrgBrglcAjTNHzTCIiUrryDagzgSvd/fuFLEZERCQj30kST5A+7yQiIlIM+QbU24Hrzez4QhYzGWb2YjNrNrMDZrbbzG4u1r7Ui09EJDr5HuK7EVgCPGZmW4HU6A3SU9ALyszOB74J/CPBBcJGMFGj4DK9+E5rnMGgOy0tLWzcuFFTzUVEQpLvCOoh4IfAVwh67z08xqMYbgQ+6+7fdPcedz/s7vcXY0fqxSciEq18O0m8ptCFTMTMZgLnAD82s/uBZQRB+Q53bxm17bXAtQDLli3La3+ZXnx7f7cdUC8+EZGwTaVbvs8lqHctcA2wGPgJ8EMziw/f0N1vcfekuycbGxvz2lkikaCtrY25tVWYPdOLL5FIHNU/QkREJmfSIygz+z3BvZ0eMbM/cOQddEcowjmorvTPW929NV3TjcA7gecRHHIsmKFefCsb8E714hMRCVsuh/geBrqH/Z77nQ6PgrvvT0/IGGu/Ba8l04vvmus/xMlL6kienaSpqUkTJEREQjLpgBp+3sndrylKNRO7GXirmX0N2ARcBxwGflOMncXjcX75VCfLTlIvPhGRsB1Vs9gIfAyoB35BcKHwH4GL3H1K3hRRRESyy+Uc1AtyeWN3/2Xu5Uz4ng68P/0QEZFpLJcR1N0E53oy3cuHn/cxjjwPpG7mIiKSt1wC6tRhvy8CvgDcCXwLaAcSwGXAS4HXFqpAEREpT7lMkhjqDmFmHwK+5O7vG7XZnWb2H8DbgJ8VpEIRESlL+V6o+yLgnizr7gHOz/N9S0oqleIFx8xmdpeaxYqIhC3fgNoLvCLLukvT66e0TLPYUxtnQLpZ7Pr16xVSIiIhyTegbgLeaGbfN7NrzeyS9M8fAK9Pr5/ShprFPrKbztlqFisiErZ8m8XebGY7gOuB/0m/Tz/wAPBKd/9OoQqMSqZZ7D41ixURiUTezWLd/f/c/VyCC2YXAbXufs50CCcY2SwW1CxWRCRsR93N3N0H3X2Xuw8WoqBS0dTURCwW41UrG5itZrEiIqHLO6DMbI2Z/czMtplZ++hHIYuMQqZZ7MaOQ7gZyWRSd9MVEQlRXgFlZq8CvghsBpYC3wW+n36/ToLzUlNepllsV/0iVq9erXASEQlRviOodwL/Drwp/fxmd38tcBywGzhUgNpERKSM5RtQzwJ+7e4DwAAwG8Ddu4APA28uTHkiIlKu8g2o/UAs/fsO4DnD1hkw/2iKEhERyfd+UC3AacCPCc4/vd/M+oFeglth/K4w5YmISLnKdwR1I7At/fv7gd8T3O32VoJzUNcefWnRUy8+EZHoWHAPwAK8kVkMiLl7Z0HesECSyaS3tLTk/LpML77OAwfx6lpq6ScWi2mquYhIgZnZfe6eHL38qC7UNbPFZnaZma0FXg7MPJr3KyXqxSciEq28zkGZWSXwaWAtI++cO2BmtwBvmeqdJdSLT0QkWvmOoD5AcNfc64HlQF365/Xp5TccfWnRUi8+EZFo5RtQfwe8z90/6u7b3L0n/fOjwL8C1xSswoioF5+ISLTyDagE0JplXWt6/ZSmXnwiItHKN6A2AVdmWXcl8Hie71tS1ItPRCQ6+V6o+x/ABjNbBnwT2EUwaroCuIDs4SUiIjIp+d5R9+tmliKYLPEpoBroA+4DVrv7TwtWoYiIlKV8R1C4+0+An5hZBdAA7Hb3QTNrMLMXuPsvC1aliIiUnULdUbd92HVPLwTuOtr3FRGR8nbUATWdqRefiEh0FFBZZHrxndo4A9xpaWlh/fr1CikRkZAooLJQLz4RkWgpoLIY6sV3uB9QLz4RkbBNehafmXUAk7k3R2ziTUpfIpGgpaXliF58yeQRHeFFRKQIcplm/r9MLqCmhaamJjZu3MirVjbg6sUnIhK6SQeUu99QxDpKTqYX3zXXf4iTl9SRPDtJU1OT2h2JiIRE56DGoV58IiLRUUCJiEhJmpIBZWYVZvYbM3MzWxp1PSIiUnhTMqCAfwYORV2EiIgUz5QLKDN7NvBG4B1R1yIiIsUzpQIq3Tn9C8A7gVSx96defCIi0ZlSAQW8FWhz92+Nt5GZXWtmLWbW0tHRkdeO1ItPRCRaUyagzOxE4O3Amyfa1t1vcfekuycbGxvz2p968YmIRGvKBBTwfKAReMjMdgP3p5e3mtkbC70z9eITEYnWVAqorwMnAGekHy9LL78Q+FKhd5ZIJGhrazuiF18ikSj0rkREZAxTJqDc/ZC7b888gLb0qjZ3P1Do/TU1NRGLxXjVygZmqxefiEjopkxAjebuW93d0mFVcJlefBs7DuFmJJNJ1q5dq3ZHIiIhmbIBFQb14hMRiY4CSkRESpICSkRESpICSkRESpICSkRESpICahzqxSciEh0FVBbqxSciEi0FVBbqxSciEi0FVBbqxSciEi0FVBbqxSciEi0FVBbqxSciEi0FVBbqxSciEi0F1DjUi09EJDoKKBERKUkKKBERKUkKKBERKUkKKBERKUkKqHGoF5+ISHQUUFmoF5+ISLQUUFmoF5+ISLQUUFmoF5+ISLQUUFmoF5+ISLQUUFmoF5+ISLQUUFmoF5+ISLQUUONQLz4RkegooEREpCQpoEREpCQpoEREpCQpoEREpCQpoMahXnwiItFRQGWhXnwiItFSQGWhXnwiItFSQGWhXnwiItFSQGWhXnwiItFSQGWhXnwiItFSQGWhXnwiItFSQI1DvfhERKIzZQLKzD5sZg+bWaeZPW1m681sXtR1iYhIcUyZgAIGgFcD84HTgaXArZFWJCIiRVMVdQGT5e7XD3vaYWb/A3w1qnpERKS4ptIIarQXAa1jrTCza82sxcxaOjo6Qi5LREQKYUoGlJldBqwF3jrWene/xd2T7p5sbGzMez/qxSciEp0pF1BmdgWwHrjY3e8v1n7Ui09EJFpTKqDM7DXAOuCv3f2uYu5LvfhERKI1ZQLKzP4J+BjwUnf/dbH3p158IiLRmjIBBXwKmA3cZWYHMo9i7Uy9+EREojVlAsrdzd2r3X3W8Eex9qdefCIi0ZoyARU29eITEYmWAmoc6sUnIhIdBZSIiJQkBZSIiJQkBZSIiJQkBZSIiJQkBdQ41ItPRCQ6Cqgs1ItPRCRaCqgs1ItPRCRaCqgsMr349nb3AerFJyISNgVUFsN78ZmZevGJiIRMAZVFphff357cyOz9O9SLT0QkZAqoLIZ68bUfxK1CvfhEREKmgBpHPB7nnqc66ZqtXnwiImFTQImISElSQImISElSQImISElSQImISElSQImISElSQI0jlUrxwmNmU9/5tJrFioiETAGVxVCz2MRMTM1iRURCp4DKItMs9isPd9A5Z4maxYqIhEwBlUWmWey+w/2AmsWKiIRNAZXF8GaxgJrFioiETAGVhZrFiohESwGVhZrFiohESwE1DjWLFRGJjgJKRERKkgJKRERKkgJKRERKkgJKRERKkgJqHOrFJyISHQVUFurFJyISLQVUFurFJyISraqoCyhVmV58//mGF3HC4oR68YmIhEwjqCwyvfhefNqJnPOcE9SLT0QkZFNqBGVmlcBNwDVALfAT4HXuvrvQ+2pqamLjxo2sW7eOhQsX0tbWpl58IiIhmmojqPcArwDOBZaml91ejB1levElk0lqamrUi09EJGRTagQFXAt80N2fBDCzdwGbzWy5u28t9M7i8TirV68u9NuKiMgkTJkRlJnNAZYB92WWufsTQCdwWlR1iYhIcUyZgAJmp3/uH7U8NWwdAGZ2rZm1mFlLR0dHGLWJiEiBTaWA6kr/nDNqeZxgFDXE3W9x96S7JxsbG8OoTURECmzKBJS7p4BtwFmZZWZ2PMHoqTWiskREpEimTECl3QK828yOM7PZwIeBHxdjgoSIiERrqs3iuwmYC/wBiAE/BV4daUUiIlIUUyqg3H0AeEf6ISIi09hUO8QnIiJlQgElIiIlSQElIiIlSQElIiIlydw96hqKysw6gD8f5ds0AAXvmD5N6LPJTp9NdvpssivHz+ZYdz+iq8K0D6hCMLMWd09GXUcp0meTnT6b7PTZZKfP5hk6xCciIiVJASUiIiVJATU5t0RdQAnTZ5OdPpvs9Nlkp88mTeegRESkJGkEJSIiJUkBJSIiJUkBJSIiJansA8rMKs3so2bWYWZdZvb/zKxhnO1Xm9nDZtZtZg+Z2YVh1humXD4bMzvfzNzMDgx7/CbsmsNiZlea2a/MrNPM+iexfTl9byb92ZTT98bMPpz+DnSa2dNmtt7M5k3wmrL53oyl7AMKeA/wCuBcYGl62e1jbZi+g++3gBsJbj1/I/BtM1te/DIjMenPJm3A3WcNezyv6BVGZx9wM/C2iTYsw+/NpD+btHL53gwQ3L9uPnA6wX9Tt2bbuAy/N0dy97J+ELRB+odhz08AHFg+xrYfAH41atmvgH+L+t9RAp/N+UB/1DVH8BlN+O8ut+9Njp9NWX5v0v/2lwP7x1lflt+b4Y+yHkGZ2RxgGXBfZpm7PwF0AqeN8ZLTh2+bdn96+bSSx2cDUGlmT5lZm5n9wMym3eeSp7L53uSpXL83LwJax1lf9t+bsg4oYHb65/5Ry1PD1g1Xn8O2U12un81jwBnAccBJBP/h/cLMFhepvqmknL43uSrL742ZXQasBd46zmZl/70p94DqSv+cM2p5nGCkMNb2k912qsvps3H3Nnd/0N373T3l7u8F9gIXFbfMKaGcvjc5KcfvjZldAawHLnb3+8fZtOy/N2UdUO6eArYBZ2WWpU9MzmbsofeDw7dNOzO9fFrJ47MZyyBgBS9u6imb702BTNvvjZm9BlgH/LW73zXB5vreRH0SLOoH8C/A4wSHGGYD3wDuzLLtCcAh4CqgOv3zIGNMGpgOjxw/m78ETiT4Pz2zgBsIDkccE/W/o0ifTSVQC1wI9Kd/ryXdPqzMvze5fDZl870B/gnYA6ya5PZl9b0Z8zOIuoCoH+n/mD5GcIOwLoJpnQ3pdX8LHBi1/WrgYaA7/fPCqP8NpfDZAP9MMOvvINAO3DnZ/xCn4gO4hmBG4+jHcn1vJv/ZlNP3Jv0Z9AEHhj+GrS/r781YDzWLFRGRklTW56BERKR0KaBERKQkKaBERKQkKaBERKQkKaBERKQkKaBERKQkKaBERKQkKaBERKQkKaBk2jOzG9J3bc08nk7fHfiEqGuLipndPezzeNuodZebWZ+ZxYq07+H/e3yzGPuQ6UEBJeViP/Dc9OMdBLd4+LmZzYyyqIjdRfB5bBi1/HTgEXfvKdJ+P5fe7x+L9P4yTVRFXYBISPrdvTn9e7OZbSO4O+nLCJrgjmBmlUClu/eGWOOkFai+vcM+k+HOoEjhYWY17r4d2G5mZXPbCMmPRlBSrjJ3Kl0OYGa3mVmLmV1iZg8Dh4Fz0+ueb2b3mNkhM9tjZuvNrD7zRmZ2spndaWZ7zeygmT1qZm/KYf3dow91mdn56UNgpxxtfXk4HXjMzD5mZu1mtsvMbjSzEX8vzOxvzeyXZrbbzA6Y2W/N7LnD1lek/71vM7NPmVkH8MBR1CVlRiMoKVfL0z/bRi37CPBBYBewxcz+Avg58B3gcmA+cBMwN/0c4LsEd4Z9NdADrGDkXU8nWp9LzfnUN2lmNhc4Bngj8BXgSuAlwHuAzcDnh21+MvBFYAsQI7hD7HfM7Jj0yO54YAbwrnR9rwJKckQqpUkBJWXDzDLf9+OBmwluIfKzYZvMB17s7g8Me83XgN+4+5phy3YQnL86hSDgjgcucfeN6U1+PmzbhvHW5yjn+tz9oRz3cUb653p3//f0778wsxcAlzAsoNz9+mH7rAKeJAjiE4BHgdPSq7/g7u/LsQ4RHeKTsjGf4F48fQQ3YTweWOPuO4dts2PUH/8ZBCfzv25mVZkHcG/6fc4muD35U8BnzWyNmSVG7Xei9bnIp75cnU5wS/FPjVr+GNA4bN91ZvYuM9toZgfT+3ssvfpQ+uep6d//M486RBRQUjb2A6uAJLCU4K6kPxq1za5Rz+cS3LTxZp4Jtz6Cw3TVBHd9HSS4c2wb8AWgzcx+ZWZnAky0Pkc515fHPk4HfuvuoycwHAPsADAzA35IcIfYWwlGVquAzxAE0lPp15wK3O3u3XnUIaJDfFI2+t29ZYJtRt+9M5VedgPBH+TRngZw98eAy8ysGjgP+DDwAzNb6u6DE60nmPBQM+q95xWqvhydAfx++AIzm0MwIeO96UUvAM4Hmtz9d8O2+yiwMf1vguAQ3x151CACKKBEsnL3g2bWDKxw9w9OYvs+gvM1/wV8FYgTHOKbaP12gj/6w72k0PVNJH14cCWwZ9SqtxGMzG5PP1+a/rlp2GtXE4TWLenndQTnoh482rqkfCmgRMb3LoIJB4PANwkmViwDXg78C1ALfIxgpPAkwWG3dwMPuvteMzttvPXpfXwb+Acz+wTwA+AC4KWFqM/dN4334lGeQzCSO8HMbgDuSddxHXCFu3elt7sfGAQ+ZWZfJDi89/cEo7lMIJ1McApBASV50zkokXG4+70Eo5tGghHE9whC4SmCc0Jt6Z//AvyI4HzQo8DF6beYaD3u/gPgeoJp4d8GjiUYtRSivlycTnAOaTVwUbreCwlmIP7fsH0+CryJYJT3LeBMginmxjOBlJkg8USONYgMMffRh7VFZLozs7sJDuWtAQY8xD8E6Qt+Kwim23e4e87Xa0l50AhKpHy9kuDc0ltD3u/70/sdfd5NZASNoETKkJmtADLtkLa5e3uI+14MLE4/3evuT4a1b5laFFAiIlKSdIhPRERKkgJKRERKkgJKRERKkgJKRERKkgJKRERKkgJKRERK0v8HKetbrxmr0akAAAAASUVORK5CYII=" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Virial method\n", "isotherm = next(i for i in isotherms_n2_77k if i.material == 'MCM-41')\n", "h1 = pgc.initial_henry_virial(isotherm, verbose=True)\n", "\n", "isotherm = next(i for i in isotherms_n2_77k if i.material == 'UiO-66(Zr)')\n", "h2 = pgc.initial_henry_virial(isotherm, verbose=True)\n", "\n", "print(h1, h2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More information about the functions and their use can be found in the [manual](../manual/characterisation.rst)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.12 ('sci')", "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": "3.9.12" }, "vscode": { "interpreter": { "hash": "bb92cfc77ebe3751b7fb3df8620ceb006227daaf69256df93b17635e0b7c66c1" } } }, "nbformat": 4, "nbformat_minor": 2 }