{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The (heterosegmented) group contribution PC-SAFT functional\n", "In segment-based Helmholtz energy functionals like the one corresponding to the heterosegmented gc PC-SAFT equation of state, the spatial distribution of individual segments is calculated." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from feos.si import *\n", "from feos.dft import *\n", "from feos.gc_pcsaft import *\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interfaces\n", "In this example, the vapor-liquid interface of pure 1-pentanol is calculated. From the density profile, it becomes apparent how the polar hydroxy group slightly accumulates on the liquid side of the interface." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "parameters = GcPcSaftFunctionalParameters.from_json_segments(\n", " ['1-pentanol'], \n", " '../parameters/pcsaft/gc_substances.json', \n", " '../parameters/pcsaft/sauer2014_hetero.json'\n", ")\n", "func = HelmholtzEnergyFunctional.gc_pcsaft(parameters)\n", "vle = PhaseEquilibrium.pure(func, 300*KELVIN)\n", "profile = PlanarInterface.from_tanh(vle, 4096, 100*ANGSTROM, 600*KELVIN).solve()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots()\n", "\n", "ax.plot(profile.z/(NANO*METER), (profile.density*NAV*(NANO*METER)**3).T)\n", "ax.legend(['CH$_3$'] + ['CH$_2$']*4 + ['OH'])\n", "ax.set_xlabel('$z~~/~~\\mathrm{nm}$')\n", "ax.set_ylabel('$\\\\rho~~/~~\\mathrm{nm}^{-3}$')\n", "ax.axis([2.5,6,0,8]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Porous media\n", "The orientation of polar molecules becomes even more apparent in confined media. Shown here, the orientation of 1-pentanol in a non-polar slit pore." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "bulk = State(func, 300*KELVIN, pressure=5*BAR)\n", "solver = DFTSolver().picard_iteration(tol=1e-5, damping_coefficient=0.05).anderson_mixing()\n", "pore = Pore1D(\n", " Geometry.Cartesian, \n", " 20*ANGSTROM, \n", " ExternalPotential.LJ93(3.0, 10.0, 0.08)\n", ").initialize(bulk).solve(solver)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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gGm6OAnB31KHVCJUwrgITJ05k27ZtfPHFF7WynjfYUcKQUp4A3gWOA0lAjpTyj/O3E0KMF0JsFUJsTUtLq+0wa0XDth0Y8NATJO7fx68fvKnKiFzlftuThKezns4NfWr8WEIIvJwNZKk+DKUS7CZhCCG8gGFAOBAEuAghbj9/OynlV1LK9lLK9n5+frUdZq1p1q0X/e/9H4e3b2HlZx+ogoVXqRKjidWxqdwQFYC+hpujTvFxMagrDKVS7CZhAP2BI1LKNCllGbAI6GrjmGyq1XWD6D76TvavX8dfs762dThKDfgnLp38EiMDW9TcZL3zebnoVcJQKsWeZu4cBzoLIZyBIqAfsNW2Idlex+GjKMzJZvuKX3D386fd4OG2DkmpRr/tScLDSU+3xr61dkxvFwMHkvNq7XjK1cNuEoaUcrMQYgGwHTACO4CvbBuV7Qkh6HXnveRlpPPX7G9w8/GlSefutg5LqQZFpSb+iElhUIvaa44CyvswymrteMrVw56apJBSviylbCqlbC6lvENKqYYIYVnydeAjTxIU0ZTfpr/Hif0xtg5JqQarY1PILzEyvHVwrR7Xx8VAdmEpJrOs1eMqdZ9dJQzl0vQGB4Y9/QLuvn4seWcqmScTbR2SUkVLd54gwN2RTrUwOupsXi4GzBJyitRVhlIxKmHUIc7uHtw0+RWERsOiN15WJUTqsMyCUv46kMbQ1kE1WjvqYrzK60llq6G1SgWphFHHeAYEMmLSSxRkZ/PLe9MwlqlviXXR8j1JGM2SYa0vX/6hJng46QHIVlcYdkOtuKfUmMDGkQx48HFOxsWy6qtPkFK1Rdc1S3ecoEk9V6IC3Wv92O7lCUM1SdkHteKeUuMiu3Qn88RtbPh5Lj4h9ek4bKStQ1KslJBZyNZjWTx9Q6RNVr3zdLYkjFyVMOyCWnFPqRWdbx5NRuJx/vnxe7yDQ2ncvpOtQ1KssHTnCQCbNEfBWU1SamjtOZKnTaMktnqXaHVo1pSA55677DZqxb1akpdZzNrZsUhpuaw7fW8Gzv5ZgjRb7pGSUw04AqD8G96pL3pCCBCg0Qh0Bg16gxadQYvOQYveoMXBWYeTuwFnNwNO7nqc3Q3o9NraP/nyWG948DGyU5L57eN3GDP1HfwahNskFsU6UkoW7zhBhzAvQrycbRKDh2qSqjPsbcW9Op0wSgqNHNubgdBYPuSFEIhT9xrLY855jnOaAE61/VsSCUB5UgHMJomx1ERZqQljqRlT2aVrOTm7G/Dwd8LD3xlPfye8Alzwb+CGi6dDjTc56A0ODH/6BeY+9ziL336V215/Xy3zase2H8/iUFoB43s2tFkMeq0GF4NWJYzzXOlKoKZER0ezYMGCCr9v+PDhDB8+nKysLJ566imVMK7EN8SVcW/Vzqxns9mSQIoLyijKLaMwr5Si3FIKc0vISS8mJ7WQ43sz2J97Zqiik5sev/ru+Ie5ERzhSUBDD3SG6r8acfX2YdjTLzJvymR+eW8ao16ahk6vr/bjKFU3b0sCzgYtg1vapjnqFA8nvWqSshN9+/blueeeY8aMGdx///2AZcW9QivXw6nNFffqdMKoTRqNwOCow+Cow93H6ZLblRYbyTxZQOqxPNKO55J2PJ9tv2WwVYJGJwgI9yC4iScNmvvi38DNcnVUDQIaRTDgwcf59cM3WfPN51w/4RGbdKgql5ZfYuTX3UkMaRmIq4Nt/+t5OBvUFYadOLXi3mOPPcabb76Jo6MjYWFhfPjhh5d9n5SSyZMn1+qKeyphVDODo46Ahh4ENPQ4/VxpkZGT8dmciMvmZFwWW387ypblR3F2NxDWwoewlr6ENPNGX8Wrj8gu3Uk7diubF8+jXsPGtL5+UFVPR6lGy3efpLDUxK0dQm0dCh5OOjVKyo6cWnHvfBdbcW/cuHHAmRX3cnJyiI+Pr5VFlFTCqAUGJx1hLXwJa2GpSFpcUMaxvRkc3Z1O/LZUYtYnoXfQ0rC1H0061iOkqReaShaj63rLWFKPHmLtzC/xrd+AkKbR1XkqShXM25JAIz8X2ta3fR+Th5OeI+kFtg5DqYKJEycyceLEWj2mShg24OiiJ7JTAJGdAjAZzZyMyyZ+Wwrx29M4sDkZJzc9Ee3rEdU9CJ9g1yvv8CwajZZBjzzFD88/wbL33+D2Nz7Ezaf2SmcrFxefmsf249k8O7CpXTQVejoZyCnKtnUYSh2jZnrbmFanITTKmz53NOOet7szcEILghp7svefE/w09T8WvbONA5uTMZaZrN6no4srw556gbKSEn5573WMpapmkK3N25KATiO4qW2IrUMBwMNZr/owlApTCcOOaPUaGrbxY8CEFtz9Zne63tyYwtxSVn8Xw/fPbmDj4kMU5FhX8d0npD4DH36C5EMHWf3NZ6p8iA0Vl5n4eVsi/ZvVw8/NwdbhAJYmqeIyM8UV+CKiKKpJyk45uuppc119WvcLJXF/Fnv/PsGOP46xc81xIjsF0Oa6+ngFuFx2HxEdutD55tFsWvgT9Ro2ps0NQ2opeuVsy3adJLuwjDu7NrB1KKedmryXW1SGo40mnip1j0oYdk5oBKFR3oRGeZOdWsiu1QnEbkwidkMS4S19aXtDg3NGZJ2v68ixpB45xF/fz8AvNIyQqOa1GL0ipWTWxmNE+LvSpZbXvbics2d7+7s72jgapa5QTVJ1iKe/M73GRnLn611pPzCMkwezWfj2NpZ9spOUI7kXfY/QaBj0yFN41Atk2YdvkpueVstRX9t2JmSz50QOd3ZpYBed3aeoEudKZaiEUQc5uxvoNLQhd07rSpcRjUg9mseCt7by6/RdpB67MHE4OLsw7KnnMZaWWNbQsOdOcGMJHF0PexfC0X+hJP/K77Fjszcew9VBxwg76ew+5VTF2hw121upANUkVYcZHHW0vaEBzXsFs+evRHasOs7Pb2wlrKUvHYeE41ff7fS2PsGhDHz4KZa+M5U1337O9RMm2tU3Xkry4N8PYPNXUJp35nm9M7S8Ffo8B67+touvEtLzS/h1dxKjO4bafGb3+VQBQqUy7OuvWKkUg6OOdgPCaNErhN1rE9i5OoH507YQ0d6fTsMa4uFnqYrauH0nOt90K5sWzSMwIpKW/QbYOPJySbvg53GQeQSih0OLW8A7HHJOQOxS2DEH9i6C4Z9CsxttHa3VfvrvOKUmM3d2sZ/O7lNUk5RSGVdskhJCPCCEmCGEGC2E+FUI8b/aCEypOIOTjvaDwrnj9a60HxTGkd3p/PDyZv7+KY7C8qKIXUaNJaxVW/789guS4+NsHDGWZqdvB0JZMYxbDqNmQtNB4N8MIvrD0E/gwU3g0wjm3Q6rXgLzpSsH24viMhMzNxyjR4Qvjf3drvyGWubmqEcIdYVhL66mJVr7AuOBh6WUQ4BWNRuSUlUOTjo6DW3I7VO70Kx7EHv/PsHsFzfy37LDGEslgx55Chcvb355/w0Kc3NsF+jRf2HOSPAIgfFrIazbxbfzbQz3rIT298D6j2DxBDDacT8MsGTHCdLzS3igVyNbh3JRWo3A1UHVk7IHdWmJVmsSRoa0zPp6q/xn62aOKTbn4uFA77GRjH25Ew2ivdmy/ChzXtzIwa05DHn0WQpzs1n+0duYzTaYvJV+EH66DTzrW64s3AIuv73OAQa/D31fhD3z4cdbodQ+ayGZzZKv/jlMdJA7XRvZz1Da87k76sktVgnD1i61RGuPHj1sGNXFWdOH8RGAlHJZ+c+Lai4cpSZ41nNmwPgWpBzJZePieP6ZdxAPfyda3XAn23/9hvXz5tBjzF21F1BhJswdBRod3DYfXP2se58Q0PMpS+f3skdhzs0wdj44utdsvBW0Zn8qh9MK+Gh0a/saWHAeN0cdecVGW4dhN/6ZH0d6QvWOyvMNdaXHLU0uu01dWqL1ilcYUsr9AEII3/Kf19V0UErNqBfuzrDH2zD4oZZoNIKY9R64+7fnvyU/c3DLxtoJQkrLh31OIoz5EbzCKr6PtnfCzV9D4haYNdSSgOzIV38fItjTicEtAm0dymW5O+rJU1cYdu3UEq2nbq+++urp15YsWcL999/PsGHD+OOPP2olnoqMkvoWsF1qU6qFEIKwFr6ERnmz7+8TbP4FhDaBXz98l1tffo+gJmE1G8CuHyH2F+j/CoR2rPx+mt9sGXI7/074/ka4Y4n1Vyo1aNuxLLYczeKlIVHoKlmivra4OepIzi22dRh240pXAjWlLi3RWpG/aPu9tlYqTKvV0LJPKHe81oOW14/HbNIw75UpbFked9n1y6sk6yj89gw06AZdH6n6/iIHwth5kHEIvhsIuServs8q+uTPg3g56+1ikaQrcXdSfRj2oG/fvpSUlDBjxozTz23ZsoV166xrzKnNJVorkjBUudOrkKOLnv7jOjHgf09iNmbw749fMveVTRzdk169BzKbYPEDln6IEV+AppoK3jXqC7cvhLwkS9LIOlY9+62EHcez+OtAGuN7NsLFzibqXYzqw7APp5ZoXbVqFY0aNSI6OpopU6YQFHT5dd+llEyaNMlul2hVVxhXsehencnPupN/f/yektwtLP+0mPBWvvS4tQlu3tVQnG79R3B8I4z40jIyqjqFdYM7f4E5IyxJ485fLENxa9mHqy1XF/Y4Ue9iTiUMKaVdd85fC+rKEq0VucJ4tsaiKCeE8BRCLBBC7BdCxAohutT0MZUzOg4bSeMOnclLW0PTzmYSYjL5Ycomtv9+DJOxCs1USbtg7TSIGm4p81ETQtpZhucaSyxJIyWmZo5zCduPZ7Euru5cXYCl09tklhSWqjUx6qKJEyeybds2vvjii1pJFlCBhCGl3CuEaC+EWCyE2C6E2C2E2COE2F2N8XwErJRSNsUyQTC2GvetXIEQggEPPo5nvUDiNsxk6GMRhDbzZuPiQ8x7fQsn4rIqvtOyIlh4P7j4wpAPLE1SNSWgBdz9m6W5a+ZgOLmz5o51no/q2NUFWGZ7A6pZSrFaRb8KzQWeBvYA1dozKoRwB3oC4wCklKWAfU/nPY+UEnNBAcbUNEyZGZgLCiy3wkLMBQWYCgqQhYWW+6JiZFnZuTej8fRjjEbQahEajeVeq7Xc63RonBzRODsjnJ3RnLo5We617m5o3D3QuruhdXdH4+GB1s0NobPun9rB2YWhTz7H3Oef4K+ZH3LLy9M4HpPDP/PiWPL+Dpp2DqDbqAgcXfTW/VJWT4H0A3DHYnD2rvwv11p+kZak8f0w+H4o3L6gaqOxrLDtWCbr4tKYNKBpnbm6AEuTFEBecRkBHmpNDOXKKvrXnSal/KVGIoGGQBrwnRCiFbANeFRKec50XiHEeCylSqhfv5rbwi9BlpZizMjAmJ6OMS0dY3pa+eM0TKefs9xk8eWHKQqDofzD3gmN3gB6HUJvQOj1p28aZ2eERoM0m8FkstwbjcjSUsyFhRhTUixJqLAQc1HRFY8JWJJKefI4O5FoPdzRuLuj9fJC5+2N1tsbN29vrrvjPlZ8/SnrZn9L37snENLUi62/HWXHH8c5HpNJr7GRNGx9hWGsh/6EzV9ApwcsndO1xbuhJWnMGgqzhsPYnyC8Z40cSkrJ68tj8XNzqFNXF3AmYaiRUoq1KpowXhZCfA2s4awSIVLK6pj9rQPaAo9IKTcLIT4CJgMvnr2RlPIr4CuA9u3bV3rkljQaMWVlYczMxJiejikz0/LBn1aeDNLPJANTdvZF96H18EDr54vO1w+nNm3Q+fpabn6+aL190Lq6oHEpvzk7o3FxQeit/GZekXMxmTAXFVmuZvLyMOXmYsrJsTzOycWUm4M5t/z53FzMubmUJSZSnJuLOScHc2HhBfsUQFiwLztWLkO7dBlhHr40CKiHT4NGbE0LY8UXe2gU5UrP26Nx9r7IUrGFmbDkQfBrCv2nVPs5X5FnKNy9wpIw5o6CW+dAxHXVfpjf9yWz/Xg2b9zUok5dXYBlWC1ArmqSUqxU0b/wu4GmgJ4zTVKS6ikXkggkSik3l/+8AEvCuCRzQQH5/65HGi1NOJYmHSPmokLM+QWY8/Mx5eedeZydjTEzA1N6BqacHMus4/MIBwd0fn7ofH0xhIXh1L796Z91vn7o/CxJQevjg8ZgqIbTrjqh1aJ1dUXr6gr16lX4/bKsrPx3k4UpMwNjZiamjEy8MtIp2LWZHRTgWVKE85YtmJJ/pZUUHKt/HYfNAzn+1Gqi8/4iLFTg0KQJDk2a4NSyJbo/n4SCdMs8Cb1T9Z+0NdwCLB3hs4fDj2Ng1HfVWh69zGTmrZUHaOzvyqh29rVAkjXcTzdJqYShWKeiCaOVlLJFTQQipUwWQiQIISKllAeAfsBlh7qUHjlKwn33XXoDISzf7l1d0bi6oPXwxKFhI7QdOqDz9kHn64PW2wedj7fl3t/PchVwjQ0xFHq9JSn6XdjEdHN2FrMnTWSbkzO3f/cdep2espQUwhJP0OxAMhu3a9lpuJHU5N00/v0LdCbLhafBzYhTy244bz6Ca89QdN610H9xMS4+cNcymDsS5t8FN30FLUZWy65//O84R9IL+Oau9nY/q/tiznR6qyYpxToVTRibhBBRUsqaGrP4CDBXCGEADmO5orkkQ3gYDebMsXTo6nQInR6h11maf1xdT/cFKJXn4unF4Eef4edXn+f3Lz9hyKPPYAgJwRASQnhnqH+7ma3Lj7JtBeQP/5SebXNxXfQQhdme5O9NIWf9syAEpc3CyW4fwYnO4aR5Qn5pPmZpxiRNmKUZrUaLo9YRJ50TjjrLvZvBDQ+DBx4OZ90MHui1FWzWc/K0dLr/MBoW3mcZudX2jir9XnKKyvho9UE6N/Smb9O6tRLgKe7lCSO3SF1hKNapaMLoDtwlhDiCpQ9DAFJK2bI6gpFS7gTaW7u9xsUF50tUeVSqT2hUC7qPuZN/fpjJjshmtB14pqSYVquh09CGeDc2sHZmHL+u1pEdMYTdrRI5WZSCV4KWdgcl7eIP02jWYfxnwb76Gja3cWJHc2dMDlo0QoNZmikyFlFkLMIsLz8Az1nnjIeDB37OfoS5h9HAvQGt/VrTyr8VDlqHi7/JwQ1u+xnm3Qa/PAzGYuh4f6V/Jx+siiOzsJQXBkfV2StSR70GnUaoKww7kJiYyEMPPURMTAxms5khQ4bwzjvvsGHDBt59911+/fXX09uOGzeOIUOGMHJk9VwpV0RFE4adrOmp1LYON97EybhY1s3+BkOQDxneRmIyY9ifsZ/9mfs5WXASQ6QTPQ/fQuPk4bQxJ9OizzGCWtYj2DWYIJcgXLJK0f2xnta/LCd66XG0f+nwHDMa79tuO90cJqXEaDZSaCwkrzSPnNIcckpyyC3JJbskm5ySnNPPpRSksClpE78csgzcM2gM9AzpyYiIEfQI7nHhB7nBGcb8BD/fDb89ZbnS6Daxwr+LmJO5zNp4lNs7NaB5sEdVf7U2I4RQ5UHsgJSSm266if/9738sXboUk8nE+PHjef755xk8eLCtwztHhRKGlNJ2hXqUWmeWZhLzEonNjCU2I5a4ZgkExJSx6P2p/NI9iVKDpIF7A1r5teLWgK40W/8Fka33khQwhr/nCVxWhTFgQnP8G5SvV+EHNGmHfOgRCrdsIXPWLDK+/IrMb77FY/gwfB94AH1wMHqtHg+tpQkqhCt3JueV5rE9ZTsbkzay4sgKVh9fTZRPFE+0e4JOgZ3O3VjnALd8D4vGw6oXoSDNUjnXyqZLs1ny0tK9eDobeOr6yAr+Ru2PKkBoe3/++SeOjo7cfbelBV6r1fLBBx8QHh5Onz59bBzduSqUMIQQDsDNQNjZ75VSvnqp9yh1Q5GxiMPZh4nLiiMuK47YzFj2Z+6noMwyDUYndDTybIT/0Ga4/XyQhxL7MPK5qbg5uEFxLnzRHRx84caP8Hb0wDfUjZVf7mHhO9voNTqSqO5nCqkJIXDp2BGXjh0pPXaMzO+/J/vnBWQvWYrXqFH4TJiAvp71/QJuBjd6hfaiV2gvnmz3JL8d+Y3Pd33OfX/cx8gmI3mq/VO46M8a+qvVW9bTcPaGDR9D5mFLZ7jhIsODz7Noxwm2Hsvi7Ztb4uFc/UOka5u6wjhj7cyvSD12uFr36d+gIX3Gjb/sNvv27btgASV3d3fq169PfHw8//zzzzmLKB0/fpwhQ4ZUa5zWqmiT1FIgB8ukOrVUax1kNBs5nnucg9kHOZh1kPjseA5mHSQhLwFZXpDYUetIE+8mDGk4hGbezWjm04zGno0xaC3DiHe7rWTVjOnsXfYrXW4eDcufhJwEy7wHR0sTTb0wd255vgOrvtnH2jn7STueR49bI9CcN5rI0KABAS+9hM/995P+xZdkzZ9P9sKFeN9xOz4TJqB1c6vQ+em1eoY1HsaA8AF8uuNTZu6byc7UnUzvN51g1+AzG2q0MOhd8ImA35+11J8a/SN4BF9y32l5Jby2PIa29T0ZWQeH0V6Mm4NaRMnWLlX88dTzPXr0uKAPw1YqmjBCpJSqH6MOkFKSUphCXFbc6aQQnx3P4ezDlJotFVc0QkN9t/pEekcypOEQGns1JsIzglC3ULSXKT/eot8NnDgQw4YFPxAojxC2bz70eR7qdz5nOydXA0Meac2mxYfYseo4uelF3HB/cwxOF/7Z6QMDCXxlCj733Uv69OlkfP0N2QsX4TfxETxHjbK6tMkpDloHnmj/BF2CuvDkuicZ8+sYPu33KS38zhoVLgR0fgC8w2HBPfBlDxjxFUT0v+g+X/5lL4WlJt4eaVmx8Grg7qTjaPqFEzevRVe6Eqgp0dHRLFy48JzncnNzSUhIoFGjRjaJ6VIqmjA2CCFaSCn31Eg0SqXklORwMOsgB7MPEp8Vf/o+ryzv9Db+zv5EeEXQObAzEV4RRHhGEO4RjqOu4jWEhBD0v/dBUuP28tviddzepz/uPZ666LYajaDrzY3x8Hfi7x/jWPjONgY/1BJ3n4tP5jOEhhL01lt43XEnqW+9RfIrr5I5dy71nnkGlx4X6ci+gi5BXfhh0A/8b/X/uH/V/Xze/3Pa+Lc5d6MmN8D4v+DncTD3Zuj+uCUBnjV897c9Sfy2J5lnBkTS2L9iVz32zE0t02pz/fr1Y/LkycyaNYs777wTk8nEk08+ybhx43B2drZ1eOeozLDacTU1rFa5vFJTKYdzDnMg88A5zUmpRamnt3HTuxHhFcGghoNo7NmYCK8IGns2xsOhekfz6M2F3FhvO3NSg/j1SCi3mk1oL9NxHN0jGHc/J1Z+uZcFb21j8IMtqRfmfsntnZpHU3/W9+SvWUPKO++QMH4CLt264T/pGRybVGwpzTCPML4b8B33/3E/E1ZN4NN+n9IhoMO5G/lGwH2rYeVk+PcDiF8Nwz6DwJZkFpTy0tK9tAj2YHyPhhU6tr1TfRi2d2oBpQcffJCpU6diNpsZNGgQ06ZNY+PGjbYO7xxCXqQ8xiU3FuKi1dVsNXqqffv2cuvWrbY4dI3LLc1lX/o+4rLi2J+5nwNZBziSfQSjtPznNmgMNPJsdDopnEoM9Zzr1fy8AJPRMnP62HoOtH2PX2fNp+2gYfS568rzGjKTCvh1+i6K88sY9L8WhDS98gxwWVpK1k8/kfbpZ5jz8/G+4w58H34YreuVO6nPllaYxn1/3EdSQdLFk8Ypsb/Cr49DUSay++P871gf/ozPZenD3WgWeOkkVxe9vyqOj9cc5NC0QWivkma2ioiNjaVZs2a2DqNGXewchRDbpJRWz3k7RQ2rtQNSSo7kHmFX6i52pe1iZ+pODuUcOv26v7M/kV6R9ArpRaRXJE28m1DfrT46jY2K3a2cBIfXwtDpRLa9g5NpxWz/bSnBkc1o0rn7Zd/qHejCzU+345ePd7Js+i5uuLc5DdtcvuqtMBjwvvNO3G+8kbT3PyBz5kxyf/sN/0nP4D5okNUJ0s/Zj29u+IZ7f7+Xh9Y8dOmk0WwINOgKK59F/P0Oz5lnMrLdszQLuHqaok45VU8qv8SIh1PdH/Wl1KwKXWHYm7p8hZFWmMampE1sPLmRjUkbSS+yrKHtbnCnlV8rWvu3poVvC5p6N8XL0cvG0Z5l81ew4mnoOhGunwqAyVjGvCmTyUg8zm3TPsQ76NIjjU4pLijj1+m7SD2aS+/bmxLV7fLrF5+taNcukl95leKYGJy7dCZwyhQMDawvLZ5elM69v99LUkESn/X7jPYBF/+itT85lzc//YLXHOcSUnYUwnrAda9A8NVTXWD+lgSeWbibfyf1IcTLvtrLa4O6wqgYlTBqiZSS+Ox4Vh9bzZrjaziQdQAALwcvOgd2plNgJ9rUa0OYexgaYaf1r+L+gB9vhSYDLOXCzxpJlZuexuzJj+Lq5c3Y195F73DlzvSyEhMrvtxDQkwm3UY2pnV/69c3kSYTWfPmkfbBh0iTiXqTJ1lGU1l5tXGlpJFfYmT4p+vJLixj5cQu+O7/wbLMbFEmNL4Oek+GkAr/f7M7K/Yk8b+521nxaI+rrrnNGrGxsTRt2rTOlne5Eikl+/fvVwkD6kbCOJh1kN+O/MbqY6s5mnsUgaCNfxt6hvSka1BXIr0j7TdBnO34JsvaEr4RlvkWDq4XbHJ013YWvvEy0T37MuDBx63aranMzKrv9nFoexqdhzek3YCwCoVVlpzMyWefpXDjJlx79ybwjWnovKy7IrtU0jCbJf+bu43VsanMvqcjXRv7Wt5Qkgf/fQUbplsSR3gv6DTBkkAvMwzZnq2PT+e2rzczb3xnOjX0sXU4te7IkSO4ubnh4+Nz1SUNKSUZGRnk5eURHh5+zmsqYdiR3NJcVhxewZL4JezN2ItWaGkf0J7r6l9H3/p98XO+wkp19iZ5D3w3GFz94O6VlvtL2PDzXDYu+JEBDz5OdK9+Vu3ebDKzemYsB7ek0PHGcDoMDr/ym84izWay5swl9d130fn5EfLZpzhGWle2I70onXt+v4fkguTTSeOTNQd5b1UcLwxuxn0XGxVVkgdbvrEkj9wT4FEf2t8NLW+97MQ/e7Q7MZuh09fz9Z3t6R9V8bVU6rqysjISExMptmLVyrrI0dGRkJAQ9Oct3KYSho2ZzCY2J29mSfwS1hxbQ6m5lAivCIY3Gs7ghoPxcaqj397S4y2zoLV6uGcleF6+2chsNrHgtRdJij/A7dM+xCck1KrDmM2SP7+P5cDmZNoPDqPjkPAKf+Mr2r2bxIcfwZSXR9Dbb+F+nXUr7J1KGkn5SYwNf46PfzUwrFUQH9za+vIxmIxwYDn8NwOO/gMIaNANWo6Cpjda1uKwc0fSC+jz7l98cGsrRrS5OmavK1dWowlDCNEF2CTtLLvYQ8JIyk9iSfwSFscvJqkgCXeDO4PCBzE8YjhR3nW39DUAqfst62KbTZZmKD/r5j/kZ2Uy65lHcPHwZOzr71nVnwGWpLF2zn72b0ii7YAGdB7WsMK/v7LUVBIfeYTiPXsJnDoVz5tvsup9GUUZ3LPiAQ7lHsCn+FZW3jMZJ0MFmpkyDsGeBbBnPmTEA8LSxxFxPTTuD4Gt7LLZKiO/hHavreaVodHc1TXM1uEotaSmh9XeBXwqhIgDVgIrpZTJFT3Y1aLMXMa6hHUsOLiADSc2AJYZxU+0e4I+9ftcek2GuiR5D8waBhqdZZlTK5MFgKuXN4MefpKF015i7fczuH78I1a9T6MR9L29KRqtYPvKY0iTpMtNjSqUNPT+/jT47jsSH36EpOefx1xYiPcdt1/xfTn5DhyPuQuD/1wynX7i8z1OPNrm0cuWSDmHTyPoPQl6PQNJuyBuJRxcZekoX/s6GNwsCaR+ZwjpAPWag6u/pTyJDalV95SKsCphSCkfABBCNAUGAjOFEB7AWiwJZL2U0lRjUdqJIzlHWBy/mKXxS8kszsTf2Z/xLcczImLEuYXt6rrjm+GHWyzVW+9aZvkwrKCwVm3pOHwU/y35mdDoljTr1suq9wmNoPeYSDQawY5VxzGbJN1GNa5Q0tA4OxPyxeeceOIJUl5/HY2TI56XWWwmKaeIu777DyEdmD/8C346/Anf7f2OuKw43urxVsVmyQsBQa0tt96TLeuaH/rTMmggYTP89SaUF3nEyQv8o8Av0tLU5x4CHiGWfhBnX8ta6DWcUAw6DQ46jZrtrVilohP39gP7gQ+EEE5AH2AU8D4VWCmvLkkpSGHl0ZUsP7yc2MxYtEJLz5CejGwykq5BXW03ea6m7F0Eix+wfGjdsRi8wiq9q2633E5i7D5WfTWdgIaN8Qq0LqkKjaDn6CZoNIJdfyZglpIet0RULGkYDAS//z6JDz5E0osvoXFxwX3gwAu2S8opYsxXm8gqKGPufZ1o7O/B837P08SrCW/89wajfx3Nh30+JNK7kmtfuPhCy1ssN7CUgj+5A1JjIS3W0uy3bzEUZV34Xq0BHD0tS8w6eloqATu6W+4d3M/6ufx1n4bg2aDCTV9ujnpyVcJQrKA6vS/iZP5J/kr4i9XHV7M1eSsSSXOf5gxqOIgBYQPq3igna0hpqaG05hUI7Qyjf6iWTtvc9DRmT5qIu68/Y6a+g85gqEBIkvUL4tm1JoEWfUIqnDQAzEVFHL/vfop276b+jBm4dD6zoNKpZJGeX8qsezvStv65w3F3pe3iibVPkFuay+SOk7kp4qaa65MqybeMuMpJtNyKMqEoG4qzz9wX51gSTnEOlOSCqfTC/egcIbA1NO4HzW+26uqw73t/0SzQnU/Htq3ec1LslholVQWlplL2pO9h/Yn1/JX4FwezDgIQ7hHOwPCBDAofRAN362cS1znFubD0IYj9xfIhM+wz0Fe8iu2lHNq2mSVvT6X1DUPod88DFXqvlJL1C+PZtTqBFr1D6HFrxZOGKTeXo2PHYkxNI+ynn3BoGE58ah53fbuFnKKyiyaLU9KL0pn892Q2J2+mX/1+TOkyBU9Hzwodv8aUFZ9JHoUZkH4Q0vbD0X8haadlm4jrof8UqBd9yd0M+3Q9Hk56Zt3TsVbCVmxPJYwKyC7OJjYzlp2pO9maspVdabsoMZWgFVra+Lehd2hveoX0IswjrPqDtjfJe2H+nZB1FPq/bCn5UQPfov+a9TXbli9h6BPPEdGpa4XeK6Vkw8J4dlYhaZQmJnL0llvRuLqS+dZn3Lc0HoNOy3fjOtAi5PJ9FGZpZnbMbD7c/iHeDt5M7T6VrkEVO4dal5sE22fB5i8sSaXnU9Br8kWXor3jm83klxhZ/GA3GwSq2IJKGOeRUpJelM7xvOMk5CWQkJfAwayD7M/cT1JBEgACQVPvprSr1472Ae1pX699tZcBt1tmE2ycDn++bul8HfWdpeBeDTEZy/jp5UlknTzBHW99hId/QIXef07S6BVMj9FNKpw0Crfv4Mhdd7HfPYQvhz3ON/d1I9Tb+vpJsRmxTP5nModzDjO00VCebv+0/VxtXEphJqx8Fnb/BM1uhJHfnbPOB8CDc7cRl5LP6iesG5ig1H3XZMIIbhYs7//mfkpMJZSaSsktzSWrOIus4iwySzIxms905J1aXa6ZT7PTy45G+UThbrj26ueQfhCWPAiJ/0HTITDkw8vO3q4uOanJzJ70KF5BwYx+5S20uopVR5VSsmHRIXauOk7zXsH0rEDSKCo18eLSvaQu/ZVnt87BceAgwt5/t8JJp9hYzJe7v2Tm3pm4O7jzTIdnGBRufcVcm5ASNn4KfzwP0SPg5m/PudKYvHA3f+5P5b/nL77SoHL1qZXy5uUH0gAaKaXNh1XklOTwd+LfGLQGDFoDbno3Al0CifKJwsvRi3rO9ajvXp/6bvUJdA1Er7nGyzeX5MHf71o+PAwucNMMaDGq1uYCePgHcP0DE1n2/hv888P39L7zvgq9XwhB15saIYAdq44DWJU0th3L4pkFuzicXsAjd43Cp6s3GR9/TFpYffwffbRCMTjqHHm07aMMCBvAKxtfYfI/k1kSv4RnOjxDhFdEhfZVa4SArg+D2QirX4aAltDjidMvq0WUFGtVKGEIIR4GXgZKhRDpwCdSyq9rJDIrNPVuyp+3/Gmrw9cdJiPsngdrXoX8ZGg11tIR6lb7tYOadOpG6xsGs235Euo3b0XDtpdYxOgShBB0uakRCNjxx3GQ5UnjIov/5BSV8dHqg3y34QhBHk7MuqcjPSL8kP0jMCWdJOPzL9AHBeE1alSFzyPSO5LZA2cz78A8Pt35KSOXjWRUk1E82PpBvB2vvCiUTXR71NIZ/udUaNgbgi2jotwc9RSVmSgzmdFr60AhTMVmKvrX8STQQkoZDAwAugkhplR7VEr1MBlh10/waUdY+iC4B8F9a2DE5zZJFqf0uv1e/MIasuKzD8jLSK/w+4UQdBnRiDbX12fv3yf4+6c4pPlM02qJ0cR364/Q+521fLfhCGM71uf3x3vSI8Lv9PsDXnoJl+7dSZ7yCvn//Fup89BqtIxtNpblI5YzOnI0C+IWMGTREL7d+y2FZYWV2meNEgJu/Ahc/GD5E5Z+LCxXGAD56ipDuYKKJox8IBVASpkE3AtYV6xHqT1FWZYS3NPbweIJoHeGW+dakoUdrOGgMxgY8ugkTKWlLP/4HcymihcJOJU02t5gSRrrfoojK7+ET9fG0/2ttbyyLIZmge4se7g7r49ogavDuRfTQq8n+MMPcWjShBOPPkpxbGylz8fT0ZNnOz3LoqGLaO3fmg+2fcCgRYOYHTObElNJpfdbIxw94IZplsmDu34EwL28PEiuKg+iXEFF1/R+EOgHTJJSxgshwoCfpJSdayi+y7KH4oN2w2yGhE2w8wdLETxjEdTvAl0egsjBFx1OaWsx/6xlxfT36HzzaLrdcuV6TxdTZjSxcOY+Mrams8fRxEqHUno08WV8z4Z0b+x7xf6NspRUjo4eDUYjDebMrtDKfZeyI3UHn+74lM3Jm/F38uf+lvczImKE/dQYkxK+6mWZf/PwVv7Yn8742dv49ZHuNA++RkYJXuNqbZSUEOImYCLQEnAH5gK/AjullAcrGkBVXPMJw2yCE9stE+72LoLcRNA5Wcprd7gfAlvaOsIrWvnZh+z7ew2jXniN+s1bWfUek1my9WgmK/Ym8+vuk6TnldLf5ECbfA1B7fwYfm/zi/ZpXEpJfDzHbr8D4exE2OzZ6IOrpy7Yf0n/MX3ndHak7sDH0Yfbmt3GLZG32MfQ7dhfYd5tMOIrNrr2Z8yMTfxwfye6NvK1dWRKLaj1YbVCCB0QBbQBWgOtpJR9K7WzSrrmEoaUkHUEjm2E+NWWonbF2ZaKso36QYuREDnooqvh2auy4mLmPPsYJYUF3PHWx7h4XnzGdYnRxIb4DFbuTWZ1bAoZBaUYdBr6NfVnRJtgejXxY/vyo2xfeYyoHkH0HhNZoaRRHBPDsbvGofXyosHs2ejr+VfL+Ukp2ZK8hW/3fcv6E+tx0jkxsslI7mh2B4GugdVyjEoxm+GzTuDowd6BCxnyyb98eUc7boiu2PwYpW66JudhXNUJw2yGnARLqYeUvZCwBRK3QGF5J7FrPcs6C437QcM+4GynI3OskHb8KD889wTBzaK5+dlXEOXNZ1kFpfwTn84f+5L560Aa+SVGXB109G3qzw3RAfSK9Dunb0JKyealh9m28hjRPYLoNTayQvMjinbu5Pg996ILCKDB9zPR+VXv3JQDmQeYuW8mK46sAKBv/b6MaTqG9vXa22Yex8bP4PdnSRqzhi7fpfDOyJaMam/dgldK3XbVJAwhhBbYCpyQUg653LZ1PmEYSy0F57KPW5JDdoLlcdp+SDsAZQVntvWJsKyjENoBQjpaagPZ82SxCtq1agWrv/6UhgNv4UhQJ9YdTGd3YjZSgo+Lgeui6nFD8wC6NvLBQXfpaqxSSjYtOcz234/RaWhD2g8Kq1AchVu2cHz8BPT+/tT/7lv0QUFVPLMLncw/yQ+xP7A4fjG5pbk09mzM6MjRDGk0BBe9S7Uf75IKM+G9SEpa3UHkhn68NCSKe7pXbHlcpW66mhLGE1hKpbvXqYQhpWViXGGG5T9iUWb54/NvWWceF6Rxem0EAAS4BYBvBPg1A/+mZ+6dLt5UU1cVlBjZn5zLvpO5xJzMZd+JHEJ3LSQ8/xCLg4YTENGUnk386NnEj1Yhnmgr0LwkpWTNTMtyr/3vjiKyU8WaWQq37yBhwgQ0rq7U//YbHMJr5kO0yFjEyiMr+XH/j8RmxuKid2Foo6GMjhxNQ8+LrCVeE+bfhTy2nkYZH/Bo/6Y82t9OJx8q1eqqSBhCiBDge+B14AmbJQyTsbyUdLaltHRR+Yf8BUkgs/xW/rP5EsMShRacfSzNRmffuwaAZyh4hFru3UNAZ33577oiI7+EfSfLk0NSLvtO5nAkvYBTf3peznqigzyI9tXjsuITHLRw59sf4+TqVuljmoxmln28k6TDOQyd2JrgJhVLuMUxMRy/9z7QaKj/7Tc4RlZyPQwrSCnZnb6bH/f/yB9H/6DMXEaHgA7cEnkL/UL7odfWYIWCfYvh53HcaX6ZJh0H8MKQqJo7lmI3rpaEsQB4A3ADnrpYwhBCjAfGAzSoX7/d0YMxlpIHZpPl3lRmuTeWQGk+lBVCaYHlcelZj89PCMXZUFT+XEnuZYLUgJP3xRPAqdv5rzt6XFXNR5cipSQxq4h9J3POXDmczCU5t/j0NsGeTkQHuVsSRJA7UUHuBHo4nm7DT46P48eXnqFh2/YMffL5KrXtFxeUseidbRTmljJyUns861lfaBCg5PBhjt99D+bCQkI++hCXrjVfoTajKIPF8YtZELeAE/kn8HXy5aaImxjVZBQBLjXQIV2SD+80Zr65N1ujnuXtkdaNVFPqtjqfMIQQQ4BBUsoHhRC9uUTCOFv7IK3cOr6SI4K0DpZmnlOrmTl5Wn4+e4Wzs587lQAcPe1yToMtZBWUsisxm50J2exKyGZXYg6ZBZZFfbQaQSM/l3MSQ1SgO57OV76C2rZ8CX/N+po+4ybQduCNVYoxN72In9/cipOrnpGT22NwrFj5tLKTJ0mY8AAlR44Q+MoUPG++uUrxWMtkNrH+5HrmHZjHP4n/IISgV0gvRkeOpnNQZzSiGv8G591O+v71vNjwZz6/w/YTO5WadzUkjDeAOwAj4IhljsciKeUlZ3S1bxoqt37zlGVYqUZnWZry1GOdo6XA3qmb3uXcn3V2MomqjiguMxGTlMvO49mnk8SxDEv5CyEgwt+V1qGetAzxpHmwB00D3HDUV2yp0FOklCx5+1WO7d7BmKnvUq9h4yrFnnggi18+2klYCx8GTmhRoeG2AKa8PE489jgF69fjM348fo89enokV21IzEtkQdwCFscvJrM4k1C3UG5pcgvDGw+vnvLq22fDLw8zud6XvPm/0VXfn2L36nzCOJvVVxj21Ol9FTGbJYfT89mZkMOuBEtyiE3KxVherynQw5FWIZ60CvWkdagnLUI8Lii9UVWFuTnMnjQRncHAHW9+hMGpYs1J59v1ZwL/zj9IxxvD6TC44p3YsqyM5KmvkT1/Pq79+hH05hto3Srfx1IZpaZSVh9bzbwD89ieuh2DxsCA8AHcEXUHTb2bVn7HOYnwQTTfuNzHvU+/V30BK3ZLJQylUqSUnMwpZnd5k9KeE9nsTsghr8RSiM7VQUfLEI/TyaF1qCf13Ktv+dbLSYzdy/xXniOyaw8GPfJUlfozpJT8+X0s+zclM+h/LQhvVfE5FlJKsmbPIeXttzEEBxP8ycc4NmlS6ZiqIi4rjvkH5rPs0DIKjYX0r9+f/7X+H028KhdP0rSWJJi86fjiX9UbqGKXrqqEYS2VMCrGbJacyC7iQHIee0/msDsxh92J2aTnW/oddBpB00A3WoWcSQ6N/FzRVLAJpzptWvgT6+fP4foJE2nR9/oq7ctYZmLxu9vJSilk5KT2eAdWbs5D4bZtJD72GOb8AgJfm4rH4MFViqsq8krzmBMzh1kxs8gvy2dww8E81f4pfJ0qVuJj/fT7aJe+FMfnE6p1PXfFPqmEoZxWXGYiIbOQ45mFHEkv4GBKPgdS8jiYkkdBqaUyrBDQ2M+VliGetAr1oGWIZ5X6HWqK2Wxi4esvcjLuAGOmvoN/WNXmJ+RnFTN/2hYMTjpGTmqPo0vlhqyWpaZy4vEnKNq2Dc9Ro6j37GQ0zlVrNquKnJIcZu6byff7vsdB68DEthO5NfJWqzvHf/7hS0bFPQN3r4QGXWo4WsXWVMK4ikkpKSw1UVBqpKDERF5xGRn5paTll5CeX0J6Xinp+SWczC7ieGYhqXnnltT2dTXQpJ4bTeq5ERlw5r66+x1qSkF2FnOefQyNVstt0z7A2b1qxftOxmez9IMdBDfxZMjDrdBUctEgWVZG2sefkPH11xjCwgh69x2coqOrFFtVHcs9xuubXmdj0ka6BXfj9W6v4+Pkc8X3ffPHFu7d0J+yPi+h7/VkLUSq2NI1mTBatWkrl63+F5OUmMwSc/n9+Y/LTBKj2YzRJCkzmTGay+9N5a+f95rRZD7vPZbHZSbLa2e///Tz5fenjimxfNCbpURKMEvLz5bHltdPvWbZDiQSs7l8OyxVWU8lisv9MzkbtPi6OhDk6UiolzP1vZ2p7+NMqLczDbyd8XGt+yPCkuPj+GnKJIKaNGPk81PRaKt2JRSz/iRrZ++nZZ8QetxatX6Igk2bOTlpEsbMTPwfewzvu8fV6iiq80kpmX9gPm9veRtPB08+6/8Zkd6Xn3g4a+NRuq4YSGjj5jjc+XMtRarYyjWZMBwCI2TgXR/W2P61GoFOI9BrNei0Ap1Gg14r0GkFes35z2nQaSyvacSpm2WhH0sXgOVeIwSi/J7ye43l4QXPaYTA2aDDxUGLi4POcjNocXXQ4ePqgJ+rA75uBpwNdeNKoar2rVvDys8+oO2gYfS56/4q7+/fnw+ya00CvW+LJLpH1UqaG7OySH7pJfJWrcapTRsCX38Nh4a1VN7jEvZn7ufhNQ+TX5bPR30+olNgp0tuu2THCYoXPsgol51oJx1Rc42uctdkwmjUrKV8a85vaDWWD1etRqAVAk35vVZjuem05R/653346857Tact//AvTwI2qSCqXNbamV+xfcUvDHjwcaJ79avSvswmM8s/3U3i/iyGPlbx8iHnk1KS+8svJE97A1lUhO/DD+Nzz90Ine0SenJBMv9b/T9O5J/gy+u+pI1/m4tutyY2hZVz3uUd/Vfw4GZL/TLlqnVNJoxrpQ9DOcNkNLJw2kucjItl1IvTCI5sVqX9lRSWseCtbRTnl3HT023xCqh6tVhjWhrJU18j748/cIyKIvD113BsVrU4qyK9KJ1xK8eRWZTJ7EGzaeTZ6IJt/juSybNfLWCNw9Mw7DNoc5sNIlVqS2UThrruVOoUrU7HkMcm4ebjy9J3ppKdnFSl/Tk46xnycEuEBpZ9vIuC7Kqvwa3z8yPk448I/vBDylJSOHLzSJKnvoYp9zI1ymqQr5MvM66bgUFr4LG1j5Ffmn/BNm6OOg7LQIw6Z0jaZYMolbpAJQylznF29+CmyVOQwKI3p1CUV7UPYg8/Z4Y83IrigjKWfbKLkiJjtcTpPuAGGv22HK/Ro8n68UcODRhI9sKFSLO5WvZfEYGugbzT6x0S8hJ4deOrF8bqpEeiIcutKSTtrPX4lLpBJQylTvIKDGb4Uy+Qm57K0ndfx1h2idLyVvJv4M7ACS3ISi5gxee7MZaZqiVOrYcHAS+9SPiCnzE0aEDS8y9wbMxYinbV/rf4DgEdeKDVA6w4uoI1x9ec85pbeVHGFJdISN5jqf6sKOdRCUOps4KbRjHgwcc5sX8fv3/+IVXtjwuN8qbfXc04EZfNyi/3YiqrvisBx6goGvwwl8A336D0xAmO3jqaxMcep/TYsWo7hjXubXEvkV6RvLbptXOaplwNOoSABKdIy5IA6QdrNS6lblAJQ6nTmnbtSfcxd7F//Tr++WFmlffXpGMAvW+L5NjeDFZ+tQeTsfqShhACz+HDabRyJb4PPUT+339zaPAQkqe+hjEjo9qOczl6jZ4pXaeQXpTOd/u+O/28RiNwNeg4oi/vEFf9GMpFqISh1Hkdh42k1fWD2fLLQrb+urjK+4vuEUyvsZEc3ZPB7zP2VmvSANC6uuD3yMM0/n0lniNvJuunnzh0/Q2kfTK9VjrGm/s2Z0DYAGbHzCatMO308+5Oeo7IYNA5qX4M5aJUwlDqPCEEfe8eT5NO3Vg3+xti/llb5X027xlMj1ubcGRXOr/P2FttfRpn0/n5EThlCg2XLcOla1fSP/2U+H79SZv+aY0njoltJlJmKmPGnhmnn3Nz1JFTIqFetKUfQ1HOoxKGclXQaLQMfOQp6jdvye+ff8iRHVWfn2MpGxLBkV3p/Dp9N6XF1TN66nwODcMJ+eRjwhctxLlTR9KnT6/xxBHqHsqghoNYEr+EnJIcwJIw8oqN4N8MUmNr5LhK3aYShnLV0On1DH3yBXzrh/HLB2+QdPBAlffZsk8o/cY14+RBS8HC4vyqjca6HMeoKEKnT78wcXz8Cabs7Go/3l3Rd1FkLGL+gfkAuDnqySspsySMwnQoSK/2Yyp1m0oYylXFwdmZmyZPwdXTm0VvTiEjMaHK+2zaOZCBE5qTcaKARe9uIy+zuBoivbQLEsdnnxHfrz+p73+AMSur2o7TxKsJ3YK68cP+Hygzl+HmqCO3yAh+5WVB1FWGch6VMJSrjounFzeXV7RdOO0lctPTrvymKwhv5ceNE1tRkF3Cgje3knqs5junTyeOpUtw6dGDjBkziO/Xn5S338GYXj3f/m+NvJX0onTWn1iPu6OevOLyKwxQCUO5gEoYylXJs14ANz/3KiWFBSx642WK8vOqvM/gJl7c9Ew7tHoNi9/dzqEdqdUQ6ZU5RkYS8uEHNFz2C259+5I5cybx/a8j5Y03KEupWgzdQ7rj7ejNkvglp/swpGsAOHpAmkoYyrlUwlCuWv5hDRn+9AtkpySx5K1XKSupelOST5ArIye1xzfUlZVf7mXbyqNVnjBoLYfGjQl+9x0aLv8V9wEDyJwzl0PXXUfyq1MpS6pcTS29Rs+QhkNYl7AOnb4Qo1lSbJTg1wxS91fzGSh1nUoYylUtNLolgx95mpMH97PsgzcxGas+0snZ3cCwx9sQ0d6fTUsO88fX+2psBNXFOISHE/TmGzRauQKPYUPJmj+f+OtvIOmllylNTKzw/oY3Ho5RGkko3QBAbnGZpbx5WiyXXblLueaohKFc9SI6deW6+x7iyI6tlhIi1VD8T6fXct290XQZ0YhD21NZ8OZWMpMKqiFa6xlCQwmcOvX0BMCcxYs5dMMAkl58qUKd4xFeETT0aMjhws0A5f0YUVCUBfkpNRW+UgephKFcE1r2H0D30XcS++9frP1+RrU0IwkhaHtDA4Y+1obigjIWvLmVg1tr/wNWHxxM4Msv02j1KrzGjCF78WIODxhI1s8/W50c+9Xvx9H83QhtAbnFaqSUcnEqYSjXjI7DR9FuyAh2rFzGpoU/Vdt+QyK9uOW5jvgEu/DH1/tYO3c/ZSW1X+1VX68eAS88T8PFi3CIiCD5xZc4fu+9lKVeuWO8X4N+mDGjdY0lt6jsTMJQRQiVs6iEoVwzhBD0uv0eonv1Z8PPc9nx+6/Vtm9XLweGP9GWtjfUJ+bfk8yftoW041UfmVUZDhER1J89i4BXX6Fox06ODBtO/vr1l31PlHcUfo4B6N32kVNUBq7+YHCDDJUwlDNUwlCuKUIIrp/wCI3ad+LP774kdv26atu3Vqehy4jGDHusDWUlJha8tZXtvx9Dmmu/41gIgdcttxC+cAE6X18Sxk8ge+Giy27fPbgnWpd40vMLQQjwbQwZ8bUYtWLvVMJQrjkarZYhj04ipFk0Kz99v1rqTp0tJNKL0S92JLylLxsXH2Lxe9vJSq7dDvFTHBo1osGPP+DSuTNJzz9PxjffXHLbXqHdEJoy4nLKCw/6NIZ0lTCUM1TCUK5JOoOB4U+/ZKk79f4bnDhQvZ27ji56bhjfnP7jmpGZVMC817awbeVRTKbaX55V6+pK6Bef4z5oEKnvvEvm3LkX3a5LUGeQWg7lb7M84RMBOQlQVlSL0Sr2TCUM5Zrl4OzMzc++gpuPD4vfmkLK4er9Ni2EILJzIGOndCaspQ+blhxmwZtbbdK3IfR6gt56E9e+fUmZ+hp5f15YAt5Z74y2LJyTJeWLJ/k0AiRkHq7dYBW7pRKGck1z9vBk5POv4eDsys9TnycpvuoVbi84hruBAeNbMGBCcwpzSvn5jS38/VMcxQU1V/n2YoReT/AH7+MYHc3JSZMuujysmzmKPHmM9KJ0S5MUqH4M5TSVMJRrnrufP7dOeQNHNzcWvPYiJ+NqZu5Bozb+jHm5E817BrN3XSI/TNlEzPqTtdoprnFwIOTjjxBaLYmPPoYsLT3ndX9dCwC2pmw9kzDU0FqlnN0kDCFEqBBirRAiVgixTwjxqK1jUq4d7r7+3Prym7h4erLg9ZdIjN1bI8dxdNHTc0wko57rgKe/M2tn72fB29tIOVLz1W9P0QcHEzjtdUr27yd9xoxzXgtwbATSwLbkbeDgCm6BkHGo1mJT7JvdJAzACDwppWwGdAYeEkJE2Tgm5Rri5uPLLS+9gZu3Dwtff4mDWzbW2LH8Qt0Y8VRb+t8dRX5mMQve2srKr/aSnVpYY8c8m1vfvrgPGUL6F19SEn+mycnLxRFRHMb21O2WJ3zU0FrlDLtJGFLKJCnl9vLHeUAsEGzbqJRrjau3D7e+8ha+DcJY9t4b7Fr1W40dSwhBZKcAbnu1M+0Hh3FsXwY/TtnM3z8eoDC39Mo7qKJ6zz2LxtGRlHfeOf2cp5OBkvwGHMw6aFm61aexmrynnGY3CeNsQogwoA2w+SKvjRdCbBVCbE1Lq/rCOIpyPmd3D255cRrhbdqx+uvP+Pen2TVawtzgqKPTjQ25/dXONOsexN5/TjLnxY1sXnaYksKa6xjXeXvj+8AECtb9TcEGS6VaT2c9xsIwJJKdqTstCaMoCwozaywOpe6wu4QhhHAFFgKPSSkvaNiVUn4lpWwvpWzv5+dX+wEq1wS9oyPDnnqB5n2uZ/PieSz/6O1qWU/jclw8HOg9NpIxL3UkNMqbrcuPMuu5DWz+5XCNjajyuv129MHBpH7wIVJKPJ0NmIrqoxM6tqVsA98Iy4aq41vBzhKGEEKPJVnMlVJeuo6BotQCjVbL9RMeocfYcRzY9C8/vTSJ3PSaX2XPK8CFgRNacOsLHQhp5s3W344y+/maSRwaBwd8xo+neM8eCjdtwtNJD1JPuHtTS8JQQ2uVs9hNwhBCCOAbIFZK+b6t41EUsPQzdBw2khGTXiI7JYk5zz5OYkzNjKA6n2+IW3ni6EhoeeKY9fwGNi45RFF+9fVxeIwYjs7Pj/Qvv8LTWQ9AA5doYjJjKHELAI1O9WMogB0lDKAbcAfQVwixs/w2yNZBKQpAwzYduG3a+zi6uDJ/6nNsXjy/WhZisoZviCsDJrRg9IsdqR/lw/bfjzHruQ2sX3CQgpySKu9fYzDgfffdFG7ahEeiZVa3nz4Co9nIgZxD4BWumqQUwI4ShpTyXymlkFK2lFK2Lr/V3BAVRakg76AQbpv2AU06d+ffn2ax8I2XKci2fmW7qvIJdmXA+OaMebETDVv7sWtNArNf2Mjf8+LIz6pa/4rnyJsRjo5of10MgIemEQB70vdY+jHUXAwFO0oYilIXODg7M3ji01w3/hFO7I9h1jOPcHTntlqNwTvIhevuiWbslM5EdKjHvnUnmP3iRv764QC5GZUrFKh1d8d98CBKf1+Bc1kRpSXu+Dv5szttt6UfI/MwmGt/USjFvqiEoSgVJISgZb8buG3a+zi5ubPwjZf548uPKSmsnUl3p3jWc6bfnc247dXONOsSSOz6k8x9cRN/zoqt1ARArzFjkUVFDE7ZRWZBKS38Wpy5wjCVQPbxGjgLpS5RCUNRKsk3tAG3v/EhHYaNZO/a1Xz/1EO1frUB4O7rRO/bmnLHa12I7hVM3JYUfnh5E6u+21ehdTicmkfj0KwZfY9tJaOghBa+LUjISyDLLcCygRopdc1TCUNRqkBnMNBz7DjGTH0HvaMjC994md+mv0d+Vu1PdHP1cqTnrU2447UutOoXyuEdafz4imXmuLUTAD1uvJGwtKOYExJo6dcSgD2Ud6yrju9rnkoYilINAiMiuePNj+g04lbiNv7Dd49PYNvyJZiMxlqPxcXDgW4jI7jz9a407xXC3r9PMPflTcT9l3zF97oPHoRE0Hj3v0T7RKMRGvbkHwNHD3WFoaiEoSjVRWcw0H30Hdz17qcER0bx16yvmTP5UY7u3mGTeJzcDPQc3YRRz3bA3deJVd/GsOrbfZQUXTqJ6evVI6Vxc9rFbcZJ50Qjz0bsSd9rWX1PzcW45qmEoSjVzCswmBGTpzDsqRcoLS5m4esv8vPU50mOj7NJPH713bjp6XZ0GhrOwa2pzH/9PzKTLt23kd6pDwH56eTt3EVL35bsSd+DVOt7K6iEoSg1QghB4w6dufuDL+hz1/2kHTvC3OefYNn7b5CecOFKdzVNoxG0HxTOiCfbUlZqZuHb20jYf/F+FlPXHpiEhoyVf9DCtwW5pbkc9/CHvJNQkl/LkSv2RCUMRalBOr2etoOGcd8nX9Nl5BiO7NrO9089xJJ3XiPpYPUvB3slgY08GDmpHa5eDvw6fRfH92VcsI1nPV92+TaiaM0amvs2B2C3Xmt5UfVjXNNUwlCUWmBwcqbrqNu4f/o3dBk5hhOxe/nhhSeZ/+pzHNmxtdbKjAC4+zgx4sm2eAe68NsXey640vB1NbAhsDki8Tih6QJnnTO7TXmWF1XCuKaphKEotcjJzd2SOD77jl533EvWyUQWvTmFbx+bwNZliyjKz6uVOBxd9Ax9tDUefk6s/GLPOX0aPq4ObAq0XFkU/vknLXxbsDv/OCBUwrjGqYShKDZgcHSi/ZAR3Df9GwZPfBoXLy/WzfmWrx64ixWfvs/xvbtq/KrDydXAkIdboTVoWf7ZborzLXM1/N0cyHDyICc8krxVq2nh14K4rHiKPEPVXIxrnM7WASjKtUyr09O0Wy+adutF2rEj7PxjOfvXryPm7z9x9fElqntvonr2xSekfo0c383bkUEPtGDxe9v5c3YsAx9ogYuDDjdHHUeadsBjxRxam0ZjlEZivYNpq4bWXtNUwlAUO+HXIJzr7n+Y3nfex6Gtm4n99y+2LFvEf0sX4BvagMYdOtO4Qxf8wxthWT6megQ09KDz8EZsWBhPzL8nie4RTJCHE9s9W9GaOYTvTgcd7HF2o23iHpASqvH4St2hEoai2Bm9g+Ppq47CnGz2b/iH+P82sHnxz2xaNA83Hz8ad+hMwzbtCY5qjt7gUOVjtu4XyvF9Gfz780FCm3kT6OnI/nwNDhGNkes2EjwsmF3CCKX5kHsSPIKr4UyVukbU5OL2Na19+/Zy69attg5DUWpFYW4Oh7dvIX7LRo7t2oGxrBStXk9Is+aEtWxDg1Zt8Q1tUOmrj7zMYn6YsomQpt78GwCrYlL4zXUfGV/N4Id3rmNj3nZW798Fty2AiOuq+eyU2iSE2CalbF/R96krDEWpI5zdPWjeuz/Ne/enrKSYxNh9HNu9naO7drBuzrcw51tcvLxPJ48GLVrj7O5h9f7dvB3pOKQhGxbFE+jqS3p+KY5D+sAXX9LlqIElrlmkaLXUS9mrEsY1SiUMRamD9A6OhLduR3jrdgDkZaRzbPcOju7azqFt/7Fv3RoQgoBGEYS1aktYq3YENm6CRqu97H5b9gvhwOYksnZno9NCVkhjdAEBNNiZDN1hj1cQ9VL21cYpKnZIJQxFuQq4+fjSvM91NO9zHWaziZRD8RzZuY2ju7ezedF8Ni38CQcXF8Jbt6dZj940aNEGre7C//5arYYetzRhyQc7aOOoIym3mLB+/cheuBCXLjp2e3jQP3mvDc5QsQcqYSjKVUaj0RIYEUlgRCRdR42lKD+P43t2cmTnNg5t2cT+9etwcvcgqkdv2gwYiod/vXPeHxzphV8TDzofzCYhKZ8W/fuRNXcuA1MbsqtBIaTHgbEEdFXvbFfqFpUwFOUq5+TqRmSXHkR26YHxvjKO7txG7D9r2bHyV7avWEaTzt3pdstteAWeGfnU8+YIFryxhZObUnCe2B6Nhwdd4jX8EpRFMWYc0/ZDYCsbnpViCyphKMo1RKfXl8/n6ExeRjrbV/zCrlUrOLh5A20GDKHrqLEYnJwJaODOUTdBg/h88nKMuPXuRfCfazB2M7LTwUDnkztVwrgGqdIginKNcvPxpdft93DvR18R1bMv235byqxJEzlxIBaAnEbOSGDzssO49uuHJq+A6AQN/7l5QuJ/No1dsQ2VMBTlGufi6cUND0zk1ilvIs2SeS9PYtvypYQEubLTyUTcfykUh7dBODhwQ4IXm109IFHNf7oWqYShKAoAIU2jufPtT2jUviN/zZqB365lbNAWo3fUsnnFCVy6daPlvgJizMXkZhyAomxbh6zUMpUwFEU5zcHZmaFPPEenEbdQtHc9vdNX4drKg+MxmRR2GYpjZgHRR8387eQExzfZOlyllqmEoSjKOYRGQ/fRd9LttnuIKDzMyT0/4OKlZddxL4SHJzfsM/CnqxvEr7J1qEotUwlDUZSL6jz0JvY3vB6RGIPG9Bupx7PI63cXbfaXssfsSOHBPyyVa5VrhkoYiqJcUkjXfqzz70Pa8Rgw/sqe4saYNI7022LkN1MGqDIh1xSVMBRFuaQ+kf7sdmlKgxH3UFpwlJyUhRzp/iADtsMvenfkjrm2DlGpRSphKIpySR3DvXFz0LHOHMbAh5/EbErkcM5/JPl3pfO/Gn4/MB+KsmwdplJL7CphCCEGCCEOCCHihRCTbR2PolzrHPVaRncM5bc9SRgi2zP4kaeRpmRi/QoJyWzNv0cMpK96wdZhKrXEbhKGEEILfAoMBKKAMUKIKNtGpSjK/T0a4u6oY/ysrRSEtGD4c6+h1QkO+uQSeLIT8346wW9v30baoU2YjUZbh6vUIHuqJdURiJdSHgYQQvwEDANibBqVolzj/N0d+fz2dvxvzjZu/nwDAK7BoxiYtpOAgn1gMhK7LYfYba9h+Q5ake+ham3wusSeEkYwkHDWz4lAp/M3EkKMB8aX/1gihLiai/P7Aum2DqKGXM3nBtfA+e27ys+Pq/v8IivzJntKGBf7qnHBIG8p5VfAVwBCiK2VWZe2rriaz+9qPjdQ51fXXQvnV5n32U0fBpYritCzfg4BTtooFkVRFOU89pQwtgARQohwIYQBGA38YuOYFEVRlHJ20yQlpTQKIR4Gfge0wLdSyitNI/2q5iOzqav5/K7mcwN1fnWdOr+LEFLVglEURVGsYE9NUoqiKIodUwlDURRFsYrdJ4wrlQsRFh+Xv75bCNHWFnFWlhXnd1v5ee0WQmwQQrSyRZyVZW25FyFEByGESQgxsjbjqyprzk8I0VsIsVMIsU8Isa62Y6wKK/4+PYQQy4QQu8rP725bxFkZQohvhRCpl5rLdRV8tlzp/Cr+2SKltNsbls7vQ0BDwADsAqLO22YQsALLPI7OwGZbx13N59cV8Cp/PPBqO7+ztvsT+A0Yaeu4q/nfzxNLtYL65T/72zruaj6/54C3yh/7AZmAwdaxW3l+PYG2wN5LvF5nP1usPL8Kf7bY+xXG6XIhUspS4FS5kLMNA2ZJi02ApxAisLYDraQrnp+UcoOU8lQ50E1Y5qfUFdb8+wE8AiwEUmszuGpgzfmNBRZJKY8DSCnr0jlac34ScBNCCMAVS8KoEwWlpJR/Y4n3UuryZ8sVz68yny32njAuVi4kuBLb2KuKxn4vlm88dcUVz08IEQyMAL6oxbiqizX/fk0ALyHEX0KIbUKIO2stuqqz5vymA82wTLLdAzwqpTTXTng1ri5/tlSUVZ8tdjMP4xKsKRdiVUkRO2V17EKIPlj+UbvXaETVy5rz+xCYJKU0Wb6k1inWnJ8OaAf0A5yAjUKITVLKuJoOrhpYc343ADuBvkAjYJUQ4h8pZW4Nx1Yb6vJni9Uq8tli7wnDmnIhdbmkiFWxCyFaAl8DA6WUGbUUW3Ww5vzaAz+VJwtfYJAQwiilXFIrEVaNtX+f6VLKAqBACPE30AqoCwnDmvO7G3hTWhrC44UQR4CmwH+1E2KNqsufLVap6GeLvTdJWVMu5BfgzvIRDZ2BHCllUm0HWklXPD8hRH1gEXBHHflWerYrnp+UMlxKGSalDAMWAA/WkWQB1v19LgV6CCF0QghnLBWYY2s5zsqy5vyOY7l6QghRD0sV1MO1GmXNqcufLVdUmc8Wu77CkJcoFyKEeKD89S+wjKwZBMQDhVi+8dQJVp7fS4AP8Fn5t3CjrCNVNK08vzrLmvOTUsYKIVYCuwEz8LWUsk6U5Lfy328qMFMIsQdLE84kKWWdKAsuhPgR6A34CiESgZcBPdT9zxaw6vwq/NmiSoMoiqIoVrH3JilFURTFTqiEoSiKolhFJQxFURTFKiphKIqiKFZRCUNRFEWxikoYiqIoilVUwlAURVGsohKGolSREOJLIUQ3W8ehKDVNJQxFqbpOWMpDK8pVTSUMRTmPEOLP8hXydgohioUQoy6zbTMgTkppusw2YUKIWCHEjPJV6f4QQjiVP79fCPG1EGKvEGKuEKK/EGK9EOKgEKJjjZygolSSShiKch4pZV8pZWvgSywF6BZdZvOBwEordhsBfCqljAaygZvLn28MfAS0xFLldSyWMtNPYVnNTlHshkoYinIR5QsdDQRuu9zVA5b1IKxJGEeklDvLH28Dws56fk/5okP7gDXlpcL3nLWNotgFu65Wqyi2UN4EdRswTEpZdpntnAFPKaU1aySUnPXYhGUxpfOfN5/1sxn1/1OxM+oPUlHOIoQYAjwIDJFSFl9h8z7A2pqPSlHsg2qSUpRzfY9lZbX15Z3e915mW2v7LxTlqqDWw1CUShJCbAc6Xa7ZSlGuJiphKIqiKFZRTVKKoiiKVVTCUBRFUayiEoaiKIpiFZUwFEVRFKuohKEoiqJYRSUMRVEUxSoqYSiKoihW+T9btXoBTyvLLQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots()\n", "\n", "ax.plot(pore.z/(NANO*METER), (pore.density*NAV*(NANO*METER)**3).T)\n", "ax.legend(['CH$_3$'] + ['CH$_2$']*4 + ['OH'])\n", "ax.set_xlabel('$z~~/~~\\mathrm{nm}$')\n", "ax.set_ylabel('$\\\\rho~~/~~\\mathrm{nm}^{-3}$')\n", "ax.axis([0,1.2,0,11]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Branched molecules\n", "The heterosegmented DFT method is able to describe branched molecules. Note how the isomers 1-propanol and 2-propanol show significantly different orientations in a slit pore.\n", "\n", "Due to the symmetry of the 2-propanol molecules, only 3 distinct density profiles are visible." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def calc_pore(comp):\n", " parameters = GcPcSaftFunctionalParameters.from_json_segments(\n", " [comp], \n", " '../parameters/pcsaft/gc_substances.json', \n", " '../parameters/pcsaft/sauer2014_hetero.json'\n", " )\n", " func = HelmholtzEnergyFunctional.gc_pcsaft(parameters)\n", " bulk = State(func, 300*KELVIN, pressure=5*BAR)\n", " solver = DFTSolver().picard_iteration(tol=1e-5, damping_coefficient=0.05).anderson_mixing()\n", " return Pore1D(\n", " Geometry.Cartesian, \n", " 20*ANGSTROM, \n", " ExternalPotential.LJ93(3.0, 10.0, 0.08)\n", " ).initialize(bulk).solve(solver)\n", "\n", "comps = ['2-propanol', '1-propanol']\n", "pores = [calc_pore(comp) for comp in comps]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, axes = plt.subplots(1,2,figsize=(15,5))\n", "\n", "for pore,comp,ax in zip(pores,comps,axes):\n", " ax.plot(pore.z/(NANO*METER), (pore.density*NAV*(NANO*METER)**3).T)\n", " if comp[0] == '2':\n", " ax.legend(['CH$_3$', 'CH', 'OH', 'CH$_3$'])\n", " elif comp[0] == '1':\n", " ax.legend(['CH$_3$'] + ['CH$_2$']*2 + ['OH'])\n", " ax.set_xlabel('$z~~/~~\\mathrm{nm}$')\n", " ax.set_ylabel('$\\\\rho~~/~~\\mathrm{nm}^{-3}$')\n", " ax.axis([0,1.2,0,15])\n", " ax.set_title(comp)" ] } ], "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": "3.8.6" }, "vscode": { "interpreter": { "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" } } }, "nbformat": 4, "nbformat_minor": 4 }