{ "cells": [ { "cell_type": "markdown", "id": "f5c8b0f5", "metadata": {}, "source": [ "## In-cell adsorption energies with ReaxFF\n", "\n", "This example is structured in three parts:\n", "\n", "1. One worked **standard** adsorption-energy calculation.\n", "2. One worked **in-cell** calculation and direct comparison.\n", "3. Automation over multiple slab sizes to generate a table and graph.\n", "\n", "**Sign convention used here:** adsorption is more stable when the adsorption energy is **more negative**.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "6b871b32", "metadata": {}, "outputs": [], "source": [ "from typing import Dict, List\n", "\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from scm.base import ChemicalSystem\n", "from scm.plams import AMSJob, Settings, view\n", "\n", "slab_system = ChemicalSystem(\n", " \"\"\"\n", "System\n", " Atoms\n", " O 1.64000002 -1.90997923 -14.20281662\n", " Zn 1.64000002 0.00000000 -14.20281662\n", " O 0.00000002 0.73002174 -13.25596218\n", " Zn 0.00000002 -2.64000318 -13.25596218\n", " O 0.00000002 -1.90997923 -11.36225329\n", " Zn 0.00000002 0.00000000 -11.36225329\n", " O 1.64000001 0.73002174 -10.41539885\n", " Zn 1.64000001 -2.64000318 -10.41539885\n", " O 1.64000001 -1.90997923 -8.52168997\n", " Zn 1.64000001 0.00000000 -8.52168997\n", " O 0.00000001 0.73002174 -7.57483553\n", " Zn 0.00000001 -2.64000318 -7.57483553\n", " O 0.00000001 -1.90997923 -5.68112665\n", " Zn 0.00000001 0.00000000 -5.68112665\n", " O 1.64000000 0.73002174 -4.73427221\n", " Zn 1.64000000 -2.64000318 -4.73427221\n", " O 1.64000000 -1.90997923 -2.84056332\n", " Zn 1.64000000 0.00000000 -2.84056332\n", " O 0.00000000 0.73002174 -1.89370888\n", " Zn 0.00000000 -2.64000318 -1.89370888\n", " End\n", " Lattice\n", " 3.28000000 0.00000000 0.00000000\n", " 0.00000000 5.28000000 0.00000000\n", " End\n", "End\n", "\"\"\"\n", ")\n", "\n", "\n", "def add_water(system: ChemicalSystem, x: float = 0.0, y: float = 0.0, z: float = 0.0) -> ChemicalSystem:\n", " ret = system.copy()\n", " ret.add_atom(\"O\", coords=[x + 0.0, y + 0.0, z + 0.59372000])\n", " ret.add_atom(\"H\", coords=[x + 0.0, y + 0.76544, z - 0.00836])\n", " ret.add_atom(\"H\", coords=[x + 0.0, y - 0.76544, z - 0.00836])\n", " return ret\n", "\n", "\n", "def reaxff_singlepoint_settings() -> Settings:\n", " s = Settings()\n", " s.input.ams.Task = \"SinglePoint\"\n", " s.input.ReaxFF.ForceField = \"ZnOH.ff\"\n", " s.runscript.nproc = 1\n", " return s" ] }, { "cell_type": "markdown", "id": "0d6f16a7", "metadata": {}, "source": [ "## 1) One worked example: standard adsorption energy\n", "\n", "For one slab size, the standard approach uses three calculations:\n", "\n", "- `E_slab`\n", "- `E_mol`\n", "- `E_slab+mol`\n", "\n", "with\n", "\n", "`E_ads_standard = E_slab+mol - E_slab - E_mol`\n", "\n", "With this convention, a negative value means stronger (more stable) adsorption.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "9aca1812", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slab\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "example_n = 3\n", "z_ads = 0.0\n", "\n", "slab_example = slab_system.make_supercell([example_n, example_n])\n", "mol_example = add_water(ChemicalSystem(), z=z_ads)\n", "slab_and_mol_example = add_water(slab_example, z=z_ads)\n", "\n", "print(\"Slab\")\n", "view(slab_example, width=700, height=230, direction=\"tilt_x\", guess_bonds=True)" ] }, { "cell_type": "code", "execution_count": 3, "id": "d75442cc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Isolated water molecule\n" ] }, { "data": { "image/png": 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YbxYCG9PHkO74dQL7a886K1qzbFnUIAJob2mJFmo0o02E0CrrA4JIQAq4DNqPhiAKpFCIJ+Q1GpHfc/hw97/v3Ln+3Xfe+ct7Nm5Mbdq2jWPz5BqIPIYwtX8CA31i//79n1y5cuXXNCT4Ue3iRoG7tmgxMEMofGdRcYQEWetKX5CGELScL5IBTIKfz9ecE/rkdLR6+XK+NhvtO3Ik6mhtjeYJ+HISwoXUdMkopVwHAeE6QAokZCGekMgNDeVWtLa29XV03P2xG29cv/Gcc7q1A5wMjycUtDWnf50Qpv7yA6wA4hdeeGGfyv9Z1sLHdYe/QUSwUXmtcpjqLBn2LqLgi9LksKx6+2ZkijbMMxjUHX7FggXRUQUOawRutqyVrNF6LqJlCIFcAymIXALU6VVtWa7jU/HDw5lzFi266Hhf3+c03HA9roPenOLzE9DTHE+Ff+QcV8I0nj765TZtJnlKMYZLtfxWEcTlkmsE+EblNpVLSfzQDUeogvc3/uLw4cObRBaLWxob86s6OhIr2tujpSKHDrkLi8hyGXAbzHVok+vQJNchhesAKZBi8QSCjL19fZk+BRkf2737trd96lM+aamgpTn/64Tw0vwFIAV0bcQQ9irLoV6xg3l6KOkcBSEbsQREDlnlJ/RcwjDTo4uH9xat/65IIisCSK9asiRaLkJY0tYWdTQ3R4uU25UXKo4QSEGjDsQTGjXqEOIJWAeyGuLxBD0bnVeQMXvg2LH0Yy+88NZNd911n8cTitqew6J4+5jDGnhpTj1EFbUrSMHIIa84Q7+WyT9TrpRoS4jge8p/IaLYfKS3N1NXU5Oeh7tA/EAuQ0kWG5v7QExhfjyeACngpmjbVE1NYn46nVzc0JBfvXDhlz/97ndfvPHLXz60We7KVn9MWpqcm4k/nKeXTgPEFrAS8NdLAUiVGZ2IZ4iDDJFo3DBKK6i4RcONX5Orke48dixzQM8tHFY84ahmKpK7NF35WDH3aDm8Ok1DjZqMVJi1SHwCciBZkLGmJqlRi9zqtraOC5uaviHCSW7YvDkJbRQa+u9c04ATwst7xSEIIwkIwrLVc3S2PpHJ5W4WaHcOZTLp/V1duYPHjpVIgSnMx5R7RALdRak4QXjOIaN5CGE+AkOQZaQgayM1L5HIrF28+LL7/vAP/4qHn7ZrJiM79jT3NOAuw8y45pAC5N0lQtgkuaNvcLBuX1dXvjadTjD0GIYfJdM26kBZDW0osklEkGQo0uIJWkdZ452RXId0TgGMV7S13fr1G2/8hUjhrgfWr09fsWOHjzygpzmU3EKYORcbez8t3D6s4OIHMO+7+vqyIoXokCwCxRbCg07HZBWQu+U+kIOVoOUBjSzkeeCJmYuMOJCK8YQkw5HJZKqttjYnUviUgosXQQYEGQsN/XeuaMAthJl1pblja4pB7i6NOrxSZsOtIoOMrIR0sBAIMJJppAAi0gKMIUChOs1DKExasvMuxhM0SzJRp0lLKxsa6geam+/+9LXXrt+4dq1PWjI9zRHpFsLMu9CQAkHGDyvy95NMNps+0N2d7ezujg7LIjgia4AAo6yHEGTkiUiyxROGiSdgKcTjCbgRyrWKJ4hQMue2tl60tqWFSUs5jyfMvD/IZI7YCWEy2nt5tiWegPugp6CzvyvXoXNweDi599ix3EGNOuA6HIUMipkgY48IAtkrt0GTkaIspMCoA6TAUCSpaCnoqcm06GH4/AULrvu/73znFoKMYSZjoZX/znIN+PDSzL3AeAFZuQ5XSTJpKdPe2JjSnILEMs1eXKqJSh2aqLRIk5TalRdqohKZWYytmrDUoDc2hSAjRMDIA+RQfDJSk5ai4wMDmc7jx9O/PHLkquu/+c3vVTNpSdQS/k9bJC8oG7rcWCAxGhQZaOYqfjYfuccQZu7VJTKI63CfQgi3qXy7LINMHfEEmf8WU7AYAqMNlO1ZB2Q9RBB/3oEgowgipTo9SJVaVFubP7u+/itfuPLKSzdu27YzrzkKuBFFlSUE8uTaAvjzjwvo2trWjQp6SGObtlskeUjbQBROEkWNngbCCeE0uAiTOIQQT9DIwx3pZPINuUTiuk5mMsaDjOrcAo2BHIrEkBYZpJRrCTISQ7BUdB3mKciYGx7OntXUtFBDnP8o0F6ef+IJXjGdEvgTW2VTCNjF4YrCxre0tbUsaGpK1g8NLWlJpZZoKDM/T8Oiw9ns8Xxt7dODvAp+9+4utR6xnUgipb4iJwe7CC+fdEJ4+XQ/VXsGXEkmLemmfq7Ad9G+np6snoRMleYn6M4fyEANS6QAMShDCun4/ISilYClIGJJ6fVrmfNaWl577zXXfCaxbdv7Yweduq2jY11TMnnZ/Ch6pd7VtFpWxwXzh4dTekSzuQmakaXB/jKQzNAQRBB9Y+nSp0ULexS7+GEun/+xvlH/uJ4VZ/p2SJCDCm41FPXxUgsRv6dZoIEQT9DQ4UUakvyp4gl1bfPnJ1a1tSWWK5awVLGEDsURFil+sEhPQS4kpiDZplhCq2STrATmIoTAokgiHk/gpa28aal3aCj9TE/P++968MGHl8yb9+66fP5tekxzTZsIRIQQyc4I7kiQlAVqyICotcoJWSkJAphYKxRJvVrWF2R2K3//RCLx9ecGB7d/6OjRHtZhibjFgCZe2uSE8NLqezr3VrwZJ98rwH1RO8qIBNJn6YnI5Xo0eonIwEihHVJQXkCQUaRA1mOXYdZimKwEKTAKoeHJ8BZnlTWkmfvnX/0qubuzM1omi2KeLIsaxQBkGWRrtTPlBJSiusI8CC1DBkYKKudZVs6p9xBclGmDNcHLH6IB7VMEsUduxRd6ksnPX7d37x41IwKZ0p+U2ASbeZpmDXC9PM0ODYR4gk1a0indekh3dpu0pOcVwlORXPARWUA01yFMWsK8LyZQmBRxMJT5lYcfTh4+ejS/bN68hN7IlBERJMkigjRWAaQQI4OwD8wWMj1iJXD3UZmqkALC9Rk8uQ451SdlcazQq6I2H8vl/uv2ZcvuOpLNfjTR2XmQxmqbLBJDYWP/nRYNuIUwLWp92TrlegK4jIKM31WQ8So9zZg9U993XCnXYZlchQ5ZBYsF8uA6mKVQdB1aZSXwXkf5+OEEEnIjnnr22ehrP/xhmPbcrnV6D1wkIihlyMAyhADZ4BYgORCTkAKWAC+ILf/TiRDC7Z9ZEbIaspJpvVcuOprPH+zL5T562/79f/eIbJaitaAmnqZLA+XXZrr24/2+dBoAe9x8Fyuu+JgKi5pqavKrWluTKxRLWIrroAwhlEhBhLAAUlBuFOhrGHmQ/NFjj0Xf+elPo1aNQmjUIJAB8QKsAUgBWSIDgZ2yEYKRQSAErQuEoPVI/nThjyciIAV/QGWk4gk8G54fUrUILaUcHcrlHnwhn//j6/bv//kD2sUVahY29J8p1wDXy9Ps0gC4Ao+dcs9/l2h+r97XuK+3N1Grl7kG10EgKw1FCoA894DbkFBcYL6sCI1YRN/80Y+in//mN9ESEUe9OotbBhCBkUFtkQisv+A2qI4/Fk9eciCWsRACIbAv1Vu8AlrAKsFSgABECgntLzWk6Khydnki8dr5icT2+5ctu/WKffv+noDjJo8roMEpT04IU67S06JDzGqejPyJXIcPC3i3Hx0czGgosvQQVCAGAdD8/qRIoEFWwPN6m/O3H3006jx0KFgTvMHZCMBIIFgFAm5YlmSZfugTEjByMEJAlqyCuHq0fxJuBEnDlmKGwjHpPXIQVWJePp9WoDHbGkVNdYnEF36wbNlFb9q37za1hFvot7AxC54mrQEnhEmr8LTtALM6rbv9HXIdXiWz4T0HNR1ZMYU0wA2EQANlgDhfPvvDu3dHDz/zTJTSqAJxBt7cbGQQSEBtw7ZIZQM+MvRXlIEUtD4QguoK4URVkFguEkBYLpJAqCuW9eEKPl7xYgxC1sIgRoSCj+ckk7f+27JlDYl9+27BUhAb+JyFoMip+YG4Pc1eDXB9yeKB1E8FnovqFWTU7MOUHnMOFsBSYgmKHfAA1B4NKbaJGIgXzBcgcRXIpSCiwEwZMtDdukAOZTKQhOqQYb6BZIkQKFsC/CyLdEoEYWWTtFHWRywiuQ6RLIVIxDCsgGPNrlzuc68TKagFlgLTplX0NFkNuIUwWQ2e3tsDEgDTr9e536QhyR392WzLPr1xWS9ECfEErAO9ji3K6YGmRRpVqBdIiSmYG2Auhd31iQfwUtcgaWtZdWYpyE15kQxUDgnwk+NJ+wmToaiDBFhPHdJIQZJ9YanQkyyHmn4Ne56ZTN78Y329CkvhgYKhg5vE+XqahAbKrtAkevJNT2cNQPwZWQnXS/LYQG5hbW3yHA1Ftgt8zQLhAgG3QSssm2UQpNpgGQBKLAMFJwNhBMk6liXtgSqGDAPQkSSk1lckBAiADAFUyrF1ijEGS4FJTANFS+EJPcdx5YEDt0EKV/joQ0Hfk/gtXrFJ9OCbzgQNhHiCnoz8qkB3u6L5eT28lMUaAOjBKpAsWQMqwyAsayZhaZQglIvLWAnBapBMKYdXwcvVYO5CeIJS5SA1fBmk1bM8VqYd69meDJkUMy4IxBNISb3K4hk+I5W69d4lS66HDO7RFjpkT5PQgFsIk1DeDNuUa52M1q9PLH/88edX19YuX6A5gi26bzcLZE1aiXWARcBcA5OAD9IIIDQwIgVSLIRgJUiyLAukBN4AZrUrScqW1V9I3P3NAkDyrkezEihbpi62juHJE8rHGZZUD4eiqHvn8PBrrjt06Nk/1xFsVS+2C5cT0wA3Ak9zQwNYg9mOp57a0i4yqM3lsooTpLACyNxaLfOnoLHNG8AyoFyyEAT+0rLKfGsSK2HEHb38Dg8Z0IZEGQIgAXbKSNYjeVkLbeLJ2quOIVJiHAp8JqCQDn0Kryed/uz1UXT1BfFtvDxhDZRpfcLb+wYzQwMgMde+dOm6xij66RJhaqEg16qs5wdK1gEWQkXrQEANloLaBqllLAMNXZRksA7MQsDsB9y2jATg1MWBDsiNDCACswiQ9s5HHrKK11s7SUYe+pWP0zqZTD+ZybznbQcO/B/1ygNR6sTTRDXAzcDTHNGAYPmJBn15WrMAs7IKklgE/AGQZFjDJP46y2YllMrUK2MRlCRANwIA/OQ4KYxGCOq/ZCEAeusHCXHE3/lo5IFkvSTHjnWjyUtJLedaE4k/v6et7V+irq5etaIHCU8T0QDX2dPs1gAYz3V0dGxQQG69wBNchUAEAFsr+RNYFojCxAWWrRyk2pakAAlhQApkPvYywhqwZQseskzZAoZWP5qkXTxbfxABGahLQkiBEDh8EcLSVOrslrq627RW5kY4JQlPE9EA193T7NYAd8mkhgI343eTIQHL/AHIAewmBbQS+CkXc7AWVA4SIiADVtUFoAJilk0akFmuBP5K9dRZZnsIwPqxZerYpzJxDUY72LNGHXKygD7w2aVL23UqvHeB0/A0AQ3wX/A0ezUA7nNLlixZJxBv0ANMvMUIWJ1kEYCceDaVhDoBDgkAjRxMQg4lwMbBC6jZk4G+XMYJIk4Ao5XjZBAjBPbP+chS4BDzi5PJ9hVR9E4t5LfrCFTnaQIacEKYgLJmbNNk8haAI9DkjAwCoHVCoMhy+fnRJtyJWaFyWC6CkbJmP46oC3dz1lsGxGPlcvBDEtQZkcS3tT6RHFdRcuw2+oH7oJmXeU2gunmzWmwouA6q9VStBpwQqtXUzGsHVrLnLVzYJP/6HTzaDDy54JY5JRpVTALdSRE5gEiKAdKAWSIBAy5gphyXcYAb8KmLl+NtrK+4jO+bsrKdD3vTcw95vfh13XkdHa/R2pxPVipcsmp/0aWn2amBcG2Pp9Nv0t28A3CoIrzn0E63CO+wWAK/AFYqa00oF4EXL4eNivWBIOJlAMyySSMFlg3wVjY5Vj1t4tn2xUGoHKwVFUUt5JwmWiXrk8mNrF6kFkhP1WlAmvY0mzWQSyavLwIGQgjJEALALbOiYlmAK68PbakHmCSkZYBLuRKAbZ2tj8vRtq/UxtqaDIdQIgYdWHjpyxVihNQGn4/AFao62X+k6g284YzRQG7dunV6QWL+csb6gagdOQCPJwN8Jcn4HcBnHW8ziktZ5wVSiAEz9MuyJVsXl0YMJlkXJ5B4fXw7K8f7VhnCIxX3muRxaU2cOu/NK1YsUV1+c+zcQ0P/GVUDpT/JqC18xUzUANc1v3fv3lcILWcJ1Lwv4MVrLQBVAr/VQQKBCOiEsgBmyyVSsHWSpVQEZmm52kJ8O+0rJKuLS8rlWY2LWxQ2K/BCVsOPDY2ZzGVUajpzkStCE/8ZQwMv/knGaOSrZpwGDABn6e7J1IMSZijEcwnoqjciqFTHNqE+Rg7MDcZKwEQPqVxSOdr6SvWFXk7+NVKIr7G6orRzKjbJ865HzU+4kGWPI8QVN3bZCWFs/czUtYEQRAavLJrT4eMoBhqkgb9SOV5n7QA/5SAFZszysCzglUihHOS2jOQZhLiMr4uXTePUWYqXK9RxHObWsJWy3ramF7nm8xfTfEPh0Cl6GkcDGvT1NFs1IDJYaucGUADOaJn1cdBTNvDjJrAdJGD1QWqZ16bXaJ29ILUEegjAMndxy8QHqLek7StuE6+nrS3bdjFp54aMZ829aIs182IVGnALoQolzcAmAXG6S74qAElwpMKAQ9lyAL2Wy2V8vYG/JAVOypBBVuCGKEqANRKoJCs9tVheV74dfVOHJMX3pTLxjXDslFldyIlhlhOJ1X/KPIzCVsFqUtnTGBpwC2EM5cyCVRk7B4ASgFOUlKtZDu0Ane7wAJ8OARufk8/qbg8pDKvMV6TJJavAygDektoGQGMtWLI62tPWtjNp65HUIWMJErDzsLKWExynCLE1M39+jfbGVrGdxjrw4ggNOCGMUMesW0gYfGJgKX0QJV4HqMgAycrxZerJfNAFEigRgUjByIAXlyQANW4Bshz4TD4K0Ixhk2Uy7cszBEBdJXLQsRAnKD9ezimWMxp+NBVojafxNOCEMJ6GZsF64AcqBK0S6A3g5YAKcYKYNcAfZFjLEEGwECSNFLAUAhlofZACL29eDu8x0HYhqU1JAmxIgTbxesrkckIoJ4M4MagczkfbhWPWTuyc7DwlY8xTOAz/HVsDTghj62emry2isUAIFQBTIgkDkbVB8uegPlgDgF7gCx9QkaQMCUAW4b0IKvMAVVIg5mGjAG7TntqG5xVYBtSsJ5NYRwb8JnkxSjk5sJ21lcQKgJA4Tr1TKeRwrMWynYcWPU1AA04IE1DWDGw64voa6MslgGKkAMkGBiZbJvIcrAOBGCIIIBRAAX74ypLKwJshTnItpKDlAGCTgNlGGNSmlKi3DOjt1WlxQqCeZaSyXnsQDSlDCORwPpIQl50bx64XsSb1odjYzkp79cIoGhjxhxmljVfPXA0cjh96ALIqAItlA/8ICdAEWlwD2gFuZAA/ywIjjz4TMwhWAevIgLaY9GamKG0xA3MTIATIIE4ItFdbA3uQY5ACowpGBMFy0eZhGfli1utXEwkFQp9acfbZPZv37ElqrxgVnsbRgBPCOAqaoavBJwD4lXDxLgXfhLhCBaAJ4FdVRsBkGeuAOuDMMn8KMuVABmobgI+kDlkkAx6rDqkI8rAjrc+LBChDKuFjrhZoRJJor3UhIemHTNmsASOG4jqGOBnRCFnt9Ar2gjsjybFa1rnkKZ+Iot6tO3Zk1GNyq5Y9ja8BJ4TxdTSTW7xQPHihr5AMNOXSSMCsAWQJ/AKvWQfUUaZDyCBIyjFCgH/C8w+S4VNvIgcIJXzRCXCXJ6tDWjaXQcs5lfWRmdLIhlkISN68XFpWv5AE32oIMpf7DbvaUjiVCjtmrae4BpwQ4tqYPeXw59fn4B9Op9Pc/MF3SCwAFh5wgBRYRpbHEAAZMQLWGQmUrAStC0QgGQCsNqRgiKhOtSVCsLkKYTajiIEDKbETG5HoxzJEQFmSWEGY+AQZqEzmuIKrIBmIQJtzPhxnIAFJWQaJfsnBKPqZhKcJaMAJYQLKmkFNwWTU1NS0c2BgoEvFRcrUhXkJBiAANSTQ8yegDrBSLlkHKpeTAZZAcAG0LrgLuAACKp1bDtaB6sMsQq2DWHBPwsiE9hle4V7sm20DQdCH1oWsciADLWMZ2GxII4URhMA5qC+RQJwQkj36EE13MvmYqkluHRT0MO6vE8K4KpqRDcBm8rnnnutdunTpEwLxegENUARLwe6m3LXJAIo/QpwMIIIQKxCQAyloGSIouQgsKwNoRg/yAFqLAFovZSnMDVAdFgKEwEzHEIxUGyMEticWEZK2wzII29OXyhBByUpQOYwiqD4eTOTYcRuCVFlWAfGDRHc+37k3m32KvrcWuIqip3E04IQwjoJm8GpwjEfwr0VCAK8hAUHuqIEQBCZeYw6gYIt4poNAAlofrAKTqicFAkACYEgBM18yWAZqCxkwXEn/wUKQDNaH2pVIJnRUPDS1DX0hlc1KMAlBQAYlC0HbGrlxPiIDzisrqyc9kEjct+3QoeP36JQ2FeKl7MnTOBpwQhhHQTN4dbj1igy+LkD9hc4D/JcSQAJEccug3EIogVYgNFfBZKmjYgEgh6cii5JgYphBCAkUM/0Th4AUgnVQlIFstA/SCEKIk0KRCMJ8CJUtfoDkPIwQ9Jn4pKyDqDeX20Z/4YeCp6o04IRQlZpmZCMIIblv375n5Db8u4D8Gt11GVkEj8GpBkSwBEODAbQqGwkgAW15xqxnyJA7OAnJuwjMMgikoGVchEAKksHqiMnyfdAn+wl90l8x20hFsDhUFwhGEhIIwVDJmKsQKZCYl5WQOCJ3YXdr6w+izk4IoeiThMP1n3E04IQwjoJm+GqwB3Y+L0K41EBs58QKzOwAWMk4UOOEENoLfBBBvGxkADVg1kMGZhXEyQCXIU4Ktp8S2dA3qSgrEoJWGyGE+RJqi5UDIXAOIYvwBvXR194o+tY3n3yy190FKWaCyQlhggqbYc3BDrj7uqL1HxMpLFAZ9AVkUwBQ/AnCCEARuHEyKFJAcQNtoTZsB2i59VIOd3LVs8wOkfj5EAEWSIgfSEIKYegSWcwjYhPahv4ghlL/KkMEoW/KWl0KKqps7gLWgTJTlQe7ouiv6ObxwuFR9FSlBpwQqlTUDG0GvlL79+8/LLfhbzXdeLPu5BgGpesOwMxKCBOOBGK7c8fPmTo6C3dvZJEAAnApG2i1jj4hAoAMGYxwSVRXIgO1CfuSdUEK+9B6Ev3Z/uJkEPrUerMOLHbQp1EUBRJTR3K5e//pwIHfbBY5bC1wU+jPf6rTQOmPUV1zbzUDNQCeZBwkPiky+BOVW5TBGvgLCXApGFcAp4CotoVysS400k8AqEkAq3bUBR9f0oiAO3gYZlQdfzAYKFggkkYGlawQLANLcUKgXyMF+iLHCQHr4LgO/0g+f6Iriv5Mq0vnprKnCWjACWECypqhTUFZSsHFI8uWLfufAvvfihjAGBZ8KeE6lIOVlWxsMLWyyZJVIGLAIjBiwFXgTh7IQDIesAxug9qC2DgpxMkg9K/tkBBByFo2MjBCiFkH2QHFDg7ncl/5xoEDv96oc5N1wDl6mqAGnEknqLAZ2pzrHDC4dMmSh+Q6vFrgBWdgspRoMN+yQF2nMlkfTw15XkxCACwjyRYvCGUtA3wIwcjAiAAZDqQo7cCQRgolwglVhbiBWQlYBiOsA52HLISoM4oO750375Ubdu06uFXLSpyfpwlqwC2ECSpshjYHY4A/m0ml/kCPKT8ooNZQGU8sE08IiTu0SCEOThDGMtIAiiTXqL2VS6MKqg/xA0kjhHIrxAhBTUop7DNmIVi/yDghDKiNyCDbk0zWyF344I5duw4sLuyKpp5OQQNOCKegtJm4yXrdmHcIz/OOHPmt1paWmoOJRJ67OeCLJ8BOPCHUC3CkUgBRZdZXIgQQyJ8pSG0HAViGICCCOCkYERDIZOQijDaoDXuMZ/qz/RkZIAcLZJDpFxnsy2a/eO+BA/ds1C62FQ5BLTydiga4Lp5mvwbAaqZx3rzrz2tp2XZ+U1NuZzab+PXgYEJfSQ6AK1cBfwxcBVyI4DYItCzjJpiEUFg2NwEJ6G3ZCMFk3DqgbH8+k6oKyQjBiABSIBsh6E1IkFa2X6MKnfn8w7/I5Ta8qbNzUGTAJmzu6RQ14BbCKSpuBm2WEuAyutAXndHYeOeZjY255traxNvq6hKNvb3Rg8pNeiyZIGA8sUTQDgnKQgBRpBC/Y1uQD1IIjFMmjQhMxgkBEohnLYbE/izbvtgPZQKfPMgkMghDjAfz+a49udymzs7OvrUFl4hNPU1CA04Ik1DeDNg0sVn42hpFbWe0tNy9urm5rb2uLttSW5usTaej31uyJJovMvje0aNRq5YNiHZeLEMKgDFkgTFIEQMghQiMFLAKKPOHsmxEYNIIASIwC4FyPNkxmHWAxDJgKBNCUIwjWAaKGXQpX/1UZ+fOjTJMdI4cmqdJaqD8ekyyO9/8dNLAemFzh7C0rKnpqxe0tV23sqEhs7CuLt02b17UJAIgt9TURN85fDjatn9/YaSg+LRi+XkAYFwFy5DBPBEDRGAWgrkKcUKgzLaQghFCORnYnzBOBkYIoDy8t0FS5JTR5KM0ZCDr4OqdBw78DDLwuIGUM0XJrsUUdefdnC4aMDJob2i49fzW1ttXNTVl2ufPTy8QGTSLBBqV60UIWAgdtbXR9w4dij6zc2c0qFmDDarjjlwpAfARpKDl8Jo0pLKRAdIsA5NGBCbtz4e0vQX3RMu4MJABVgeWAWSgmEH6aD6/X/l39ogM7By12tMUacCuyRR1592cJhoAj5mG2tq3nNvWdt95ra2ZRfPnpxYodtCCdSAyAPQQQq0kgF0kUniipyf62JNPRrv6+4PlQNzAgBo/L/40ZhlADpQtM6JgpGBEYNKIwGT8z8d+7PkFiMBcBZFBDrdFownJY/n8j/cODW3sP3x4/0a3DKSVqU/xazL1vXuPL4cGwivHBbBVa9rbf7Zm4cK2xfX1CcUOErgHWAcNWAcigjoIQS4Cd3hSo+q6T5yI7nj66eh+uRGNWs/EIoihUgLYgN/IwUgBAignBdoaESBJ8T8feyhZByorbsCbj7KDsgqOa7kvl7tDVsGfqojRwC48ZiAlTHWKX5Op7tv7e+k1QBAxsVUjhava2nasbW+/ZGlDQ06uQrIVV0E5uAoxMpgnQuCuzjwA3kgUXpumNxr989690T/t2xcdVxnysIeaKp0SfyIjASMFCMEsA+RohAARWIYQhPZABLIM0id0bP253OMq/7dD+/ffq9UkuqKpp2nQgBPCNCj15epyvUC0Q5ha3tx81/nt7e85Q3GDhfX16Ta5A0YGDcQNiq5CIAMdbLhjixB43fmwvoUwpFwrcviNXIh/ECk83tcXrAhZC9yVwS8Yr/jfMXKIk4GV2Q/r4xvSmdDNPOrwGKaejkzxhKS+vXBQcYxPHlyw4OPRE08QRqAbiIBNPE2TBuLXZpp24d2+FBowMlhAELG9/fbVra3D7fX1NQvq6iLiBlgGuAoEEXEVzDIAZTxDwPsQM0VCODE0FPUpQxC9ciF2aFjyod7enB4xTjKrkJehKBk58B8yrFNfQqyB32QgHq3XMqDGEckp8yboVOhXlXJP9mj5C9rJpzW/4KCqSBymuwhBFdP7g2XnaeZrILVDlkFTXd1lK1ta/ko506oRhRaRQaOsg3qIQLlWeZ4IIS1T3N58HMhAAOdxZUYW+CoSk38Y6usZHg55da3shaGh5M96e7d2p1Ir5GL8ngDcyGPSwZUA2i/evfMQgKVAHbZQNBC0HmIhBY4QwfTIZdmuvr7WMjz89SePHOktbmJWgZPBizqc1pITwrSq9yXpPCk48kXTxcuam7+xauHCZFt9fb5l/vxEgwihXtZBnYggBBBlGdRACAIywULiBuHlqDpMhvnCeL8kQ4/9sg7kv0c9+trL/sHB9PN9fXc+fejQFs5o+fLlW/QGpksF6Ldr8ULlc1VuUWb1mAkC0d2/X4TwvPb9kLb5gcjpvr179+5hwwOFrZ0IxtTi9K0c/wpO376958lrILFRd1tNzMmdtXDhj9d2dFymSUhZxQ1SbSKDJlkHIYiIhRCLG0AG4aEiAR7zX5iPhmQNDMpNGCi6Cz1yFboGBrKHBgdTvz569MEH9u27bL1M9x2FYybSX0pLlixZpIU1Ghk8W/IMVgj4pf+WQK9FPSIlElDepX0+q7c47VWz+J3f3A6PE6DAlym5hfAyKX4qdgtARQaZpS0tn129cOFlixsbs60ig+b586MGWQZmHZirUIOrABmwc92pGU4EkcEyEDGcUB5Q7pN1IHchf2x4OPlcb+8RBRVv1H0d3x+wkg28Kka5AwcOHJIk/4CKCSQsAYjD+p3Apt50OjTghDAdWn0J+pRlEMhgYWPj+89cuPAWkUKmpaEhHciAuAGuApkAYtFViJMBrkIgA8khZcjAXIVekYEIIftCX196V2/vDQe7u5/bNDKwB4DjCVDHSSK+rrwMt1iOWwjl7Xz5ZdCAE8LLoPQp2GWYv1+nIOLy1tbPnLFgQba1oSGluEFE3EAzFAtxA4KIRgayDswyMDIIQURZCRDCIDEDuQ7H5TqIEDIHBgZqdvf03CZ34XuyRNJYImMcNwB3cI+hoJmyyglhplypF4/TgogdK1tbv7Fq0aKoraEh0aLZiI0QAmRQDCQaGYRRhWIQUUGDYJ+XgohFMhgQIfSJEHqGhjKHBwdrnuvp+dLDBw/eARnsGJsMXjwyL814DYSbxow/i7lzAgkBlKnJ+TPb27/8io6Oxe162Ymsg2RT0TqYXySEWpHCPFkINcopjSwkZCHwUdbwMRXpi7gBQ4xYBuQiGeS6hobSz3V3P/xve/b88WZtITLwO//c+X+FKedz6HRn9qmuK9ythzt4erGj46rFzc0ZkUHayKC+6CqEIKK5CvEgooA/Im4wkgzyx4aGEs93dx95uqtLIQNeVxi8DNwBT3NEA+4yzJwLnX5EN3a5Bu89c9GiW5fpCUbIoLm+PsJVCGQgq2AEGcgiINrHiEIpbiCrAMvghMgAN4G4Qa+GGruHhrIv9Pamd3d336C8E1dhq7sKM+ffMUVH6oQwRYqc5m5w7TKaS3DJykWLPnVGe3uutbEx1dzQUCADBRLnF+MGEAKTj3AT2MgmH2EZhLgBZFB0FQYgA2YjDg0NH+zvr3n+2LGtvzx4MAQR5SqMFUSc5tP17l8uDTghvAya37x5c/KCCy5ILFq0KHHo0KH8xo0bTzLLt2/fHuI7klG0dWtOd+uFyxcvvmd1R0f9AuIGjY2JJlkH9UYGFjMQEQRCsCCirAMmH51EBiKCMKJw4kTmCEHEo0e/9sjevVvWr1+f3rFjh5PBy/C/OB126YTwEl0FIwGBX3G9RPk4fqWjGNFmRXv7V85eunTVIlyFxsY0ZMAQYwgiKnbAiAJBREYU+KCq9qHpPhpRqBQ3kGUQXIUTJ7JdJ06kdx49+stfPv/8zRzj1q1bPYhY6WrMkTonhGm+0CKA1Nq1a/MCWgngH/rQh9Zouu/5tbW1F2sU4OL6+nq95nBePp1OJ2TqM8cXk/8xTffd3d/fv+PWD37w989evvwtHW1tmRaRAXGDBsUNIAMybgIvTU3LOgiEwDkRN1A/ZhmEyUfFuEEfbsKJE/ljJ04kdh092vXsoUM3dUdR1xNbtzJzsHSc06wa7/401IATwvRdlITIILlt27Zwx33Pe95z/uLFi29obW29RgTwH9rb29PNzc2RJhdFIoNI5BCGCEUKGh3UXT6ZfDPy4MGD0YWrV0eLGhryC5qbC2RgrkKRDMLwImSgLLvgxSCiSKH0BKPIIEw+UgDxuLLiBtk93d1pxQ1uea6r65e4CtvcVZi+f8MM6Tn8f2bIsc6Yw8QqMCK47rrrrtSn2P+kra3tasnapqamAH6RQlYkkBchJIwMmDMAIYSAYFKPHwnQtXqM+Sf335//zj/8Q2J5R0ekZxWiRpEIE5BKzypoG3tOgQvKuw3Cy05kCQwJ/IN6UKlf+bjelditfLSvL7P/2LH0r/fv3/rgzp1b1q1bV/PII48MzxgF+4FOmwacEKZYtRaUu/zyy5edffbZH1Xg8A/01eVIBBA16uEj5cR8PZqs5QTWAWQwCiEES4HhwvmNjdHP7r8/+tG2bVH7ggWBEHi/ASMLuAqQAa4CIwq4ClnFCMITjEUyGBAZ9A0MRD2QwfHjmYM9PenH9+z53o+eeeYqO94pVoN3N0M14C7D1F24hIJyCcUKMldfffUmxQhuX7lypZ5GbsoJ/HnJpMgg1aChQhFCcBUgBHMZcBvMQoi5DSE4yN1+w9vfHi1oaYke+vrXozqRCNOTa0QGuAnh3QaVgojaLsw3kKXAG5B6BgdzxwYG0ooZ7PxFZ+cNskAUrgivRZs6LXhPM1oDTghTc/mMDHJXXHHF7SKDW5UjgT8jEkgrUw5WAmRgGcsgTghGCrgMYZQgdmxYChe/8Y1RoyyNf//mN4NrQfsRTzAWg4gZtR0uksGgyKBfWa9Cy3fLSth1+HD/C0eObOrVY81bCm8s8iBiTM9zvRjGuue6EiZ5/iF4yCjCm970pjtlFdy6QE8figByymlchXKLwFwFsxBYTzuWsQ7KyYDj41kESGH1unXR5TfdFNWJYBhWTMt14BkFG1EIQcSTySDqHhzM7j12LKlRhQ88eeDAw7gKW31EYZKXfvZt7hbC5K5pQsAigJi55JJL7uzo6LhZrsGwiKDGAG7gxxrgjm7ZrANbDxGMl4wUlpx7btTY2hr95t57o4EjR6Ia9csr1G1EIcxEVBxhQJbBccUPegYGMoc0Lfn5w4fv+MWuXXcRRNTkIw8ijqfwObjeLYRJXHSGFZnVd/755/+dhhRvlmswrLt9DXd8AB8nAeIDRgZxSZtqyMAO00ihcfHi6FWbNkWL16yJBuUK4CZACCdEBLgJvAotDC/KMtCoQvrZzs7vPfj007dhGWhEwWcimkJdjtDA+LelEc19wTRgQ4srVqz4g4ULF74fywAy4I5vgAfoEEGlTJuJkoHtO5CCwJ8WmZx39dVRg8jhCY1CDGgUgUkPgyIFgoi9AwO5Y/39yZ0HDz73zO7d8SDiSVOlrW+Xc1sDbiGc2vVnwlFOE4teIavgky0tLcwpED4LbkF8tIAAIRlysGzWwkQsg/LDtDgDcxVWvPrV0aU33hg1Ll0aHdE3FI7LYtBsxLxGFRLPa2KTrIOb9imIuKkQRHQyKFemL5c04IRQUsWECwwlflozDzVHKLgHCe76RgBjSSMGZiJONkEMBBtbNdfhive9L3r1b/1WNKx+9+7fn3927968RhT+yzN79/4UV0GvQfPnFCar8Fm+/eT/kbNcQRVOL8z3l5uwQYHDq+QmZEUEKe76lUgA0Mdz3Fqo0PcpVZkLwX4ukQtx45/9We51116bbF258uePPv30Z3Fv/AnGU1LtnNvIYwgTv+SY3EkRwGaCh1gF3PEBugGfu3Y8W721QZrJP/HdV97C+uNR5+a2tsTbb7opf8mVV577jhtuWPOud73rN3It9BBkVU9ZVt6B184JDbiFMLHLHKwDTTpaJxLYIFLISQrfJ5MB3RopWBlp5GAApm4qU+hfnQ/p0ebmpqZmxTg+rP4hMZ+mPpWKnqV9OSGc2oW9BasAQjAyMIDHSaC8a2tTXj/VyxwTRKXPreXl1lz7+c9/vkn71pPQL35Naar36f3NDg04IVR/HbnDZjX5qEHAurZ4p9fM4ZE3XqL+ZFK8bMthxTT/cEwihPD9NAU9O/SA1Xp2qZERv97TrPuZ3r3/Qaq/ggH5ihmsEeAWK+dFCiU2MPDHJf48yybj66rf7am1hBRkKfBgFeRwFb3wyrZT6823misacEKo/koHXemx4stFBFgGYQgvDnIrQwDxTL3M95Pqqt/1qbXUfpPsV4Tw+ltuuaVmw4YNPux4aqqcM1s5IVR/qQt+QBRdYpvYnd/AXw768nrWW4YkpjMV+0+wP5X1OsalDVg1Sm4lTKfiZ3jfTgjVX0BD8BmATWAHXaW7vpGBAZ4XlFCOSwiCumE9a0D9dCUjIsCv/eTl5jToJS3nFPfnhDBdip8F/TohVHcRAVFek5GI1q9iEwjBwF8ujQSs3ggAGS9DKNOR2C/HUCSgvGIJepdKuoV9KbDohDAdSp8lfTohVH8h8zy8JBC3sgmEAOgM5IDQytTH11mZ9xvSBmnl6ndfXUtIgH3Y8bDM/hX3mD6TpLpD81YzQANOCBO4SAIVt/QALAMc0spGBEYAJo0o4mRwQu8pIAPYqUzso9Jx6BjdMphKRc/Svnzq8gQuLFaBLIQw98DuxHGwlxMAVgDPOBgRUJbpXspMICLzyLTIZgJHUrkp+zfrwywQ27fk9PgnlQ/Fa2eoBib/L5yhJz7BwwZMSb1FuUcxhKcAr4ghb2Az8JmkPp6xBFhnVsHg4GBkWR9iCeXJWgpYKbYf9lWeu7u79a41T66BsTXgFsLY+hmxlicGNXzXW6zMl4Muvhy3BrACWDaLAAmpiFxK/UMIWApYEBNNWAaQASRjpGNSx5TQC1UHjx8/vod+9eSjWwoTVfAcaj/xf98cUk7ZqWJN4fD/WvnNjOkDxDgIeS8CQIyTgZWNBIwIIAMjBBkbNiJQ+kYD7cdLFrswIjISMKljy6uc6Onp6X3yySdfKPbnhDCeYufweieECV583ckfKfr7YR6Cgc8kj0MD0EpEUE4GRgRYB4DbYhD0EbcoOMQ4edA23j7uunAckNSA3pqkck451dfX9yt9X7Jf+/NHoCd4vedacyeE6q94GA7QnfvHAvCQNqsBpIAf8JW/Po07vGWIoJwM2C2EYKQAGZCNTOKEYNtaW6SRQjxWwbYQAsdDVnwiT4xChPDDj370oxw/13tqhzU4EU+zRgNOCNVfSoCU3Ldv3zOKIzwqMnitgKm3n+dSgM9erhq3DCAEIwMDNbszYGMZkI0MkGxvfRBPgHRsW7Yj2XblpAAZkLEQikSQPHToUNTV1fUdtnviiSfcXUARnkbVgBPCqKqpuII4QkYg/WqREPgWWrir6y5cArJZBkYItLEEqOPZCAFwc7fHXYAIzEIwQrHtkaMRQtxC0PHkRAqJw4cPP/7AAw88on3qMPyzbXE9evlkDTghnKyTsWrC04IC7N0C7xY1rFfmrpvASjAwGyFABJbVJqRyMrBYgFkH5jJYH0Yqtj2SPiAFsxDY1uIIFj/QqEJOwcT0sWPHvijLYGjLli1ca5+tGFekl0/SgBPCSSoZswLwp3bv3r1fbsPXdPf+TwImIEsDToEwxA3srh4nA0BMMkIwQJu7AKDL3QUjA/qhT0vjEYKOIy8LIbVnz56jzz777Je1HR+h9UefTYEuR9WAE8Koqhl1RUC2QPq/Ber/qFYgNVgJ3N3jpACQ48mAbGRQbh3ECcEsBCMXIwQjFKRtjyxzF7JYB4of/PV999130D4qEz8WL7sGKmlg5D+2Uguvq6QBJglkZSVsEVA3m5VAQ0iAtxTpIy6lLz6zTOYtzQQfGZGwICRliMDcDcrEEMoJofwgIAEjFnMXCCgSO1BO7tq166lHH330IpFBRtYBhFUwUco78mXXQEwDbiHElDGBIiMOKb1j4H/t3bv3d0QKr9IdG5M8xZ2bCD/EEL+b2x3d7uq4CpBBeeygPKAIMZDMQqAMERgZ0B+EUBxuxFXIHTx4MHHgwIEPEDtQpgMfakRxnsbVgFsI46po1AZh5uLy5csvFji3q1VLsWVw9iEELAJ93SlYB3ELwawEm7tg1oFJsxAgAcvxoygnF9yF4lDjsKYp18g62Hr//fdv4WtN/oGWuOa8PJ4GnBDG09DY64ProO80XC/gbhNQsRIghKBXSAHQ69sII1wGCMFIARKIuwyQgREC1gF9xK0DszqwDMix2EFG8Yv0/v37P/f973//Fo8bjH3hfG1lDTghVNbLRGrDcJ7iCTcLvHcKsOavB0uBjgB8Q0NDsBgsjjAaIdDW4gdGCJAC2cjA3IWiq5CXdQAZ1Mh9+cFDDz20gXa0V/K4AVrwVLUGPIZQtapGbRiGHbkzixRo9GmBMS1QhnoqAK6i/uFuzh3dMtZBpaCiEUIld8HIgNiD+smJDPKQgSYgfU5BxA9s3rxZu08YKbF7T66BqjXgFkLVqhq3oVkKr1fLbQLzUoEXFwIdl6wFwI51gKUQjyHE4we4DEYGcXcBMiCLDHgXQ1aTodJ6z0GkvOWZZ57ZWjxC9ueWQVEZLiamASeEielrvNYhpqCXsS4TwD+hO/UNbCBroSIxmIWAJMeHHI0Q1EfYJ26AYgY8cp0VGaSZGakA4lOyPP5E8w3ulWWQ9OHF8S6Prx9PA04I42lo4usDKbCZXAgmLv13gftCAK3MnTuQg4oh+AjwsRqwCsoJwUx/tZVhkEuKDMiMKHTKXfi7zs7O29Vft48mSAuepkQDTghTosaTOkGv5JzeQzBPzxO8W6D+QwH8cu74BV4IlkPw9QG89cB6ZUslV4NtZCHskfyCYgaf0XyDzuI2JQKyPly6Bk5VA04Ip6q56rYbAVZNZLpMm71Vd/s3Sr5SqG9XthGBUo9GGGrXr/XPa8VDyt/QSMUDihX0FBsSs8Da8HhBUSEuJq8BJ4TJ63C8HtAxd3qsgBJ429raWhRUPFeAbxUBXCrJNx9ykrzV6HnlXSKEZ9/whjfs1cdVAL4lSGZEX7bCpWtgshpwQpisBie2PWBG5wC65CZU0QXbkZwICnrw32nSgBPCNCm2im7NcqBppesQ4gtaZ7KKLr2Ja8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa8A14BpwDbgGXAOuAdeAa2C2a+D/AzKmA+UZOw+vAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Isolated water molecule\")\n", "view(mol_example, width=260, height=220, direction=\"tilt_x\", guess_bonds=True)" ] }, { "cell_type": "code", "execution_count": 4, "id": "6b89ecfd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adsorbed slab + molecule\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Adsorbed slab + molecule\")\n", "view(slab_and_mol_example, width=700, height=230, direction=\"tilt_x\", guess_bonds=True)" ] }, { "cell_type": "code", "execution_count": 5, "id": "3de9bf1b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|07:19:38] JOB example_standard_slab STARTED\n", "[05.03|07:19:38] JOB example_standard_slab RUNNING\n", "[05.03|07:19:38] JOB example_standard_slab FINISHED\n", "[05.03|07:19:38] JOB example_standard_slab SUCCESSFUL\n", "[05.03|07:19:38] JOB example_standard_mol STARTED\n", "[05.03|07:19:38] JOB example_standard_mol RUNNING\n", "[05.03|07:19:39] JOB example_standard_mol FINISHED\n", "[05.03|07:19:39] JOB example_standard_mol SUCCESSFUL\n", "[05.03|07:19:39] JOB example_standard_slab_and_mol STARTED\n", "[05.03|07:19:39] JOB example_standard_slab_and_mol RUNNING\n", "[05.03|07:19:39] JOB example_standard_slab_and_mol FINISHED\n", "[05.03|07:19:39] JOB example_standard_slab_and_mol SUCCESSFUL\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Quantitykcal/mol
0E_slab-15404.569450
1E_mol-248.178898
2E_slab+mol-15663.035306
3E_ads_standard (negative = more stable)-10.286958
\n", "
" ], "text/plain": [ " Quantity kcal/mol\n", "0 E_slab -15404.569450\n", "1 E_mol -248.178898\n", "2 E_slab+mol -15663.035306\n", "3 E_ads_standard (negative = more stable) -10.286958" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s = reaxff_singlepoint_settings()\n", "\n", "job_slab = AMSJob(settings=s.copy(), molecule=slab_example, name=\"example_standard_slab\")\n", "job_mol = AMSJob(settings=s.copy(), molecule=mol_example, name=\"example_standard_mol\")\n", "job_ads = AMSJob(settings=s.copy(), molecule=slab_and_mol_example, name=\"example_standard_slab_and_mol\")\n", "\n", "job_slab.run()\n", "job_mol.run()\n", "job_ads.run()\n", "\n", "E_slab = job_slab.results.get_energy(unit=\"kcal/mol\")\n", "E_mol = job_mol.results.get_energy(unit=\"kcal/mol\")\n", "E_slab_and_mol = job_ads.results.get_energy(unit=\"kcal/mol\")\n", "E_ads_standard = E_slab_and_mol - E_slab - E_mol\n", "\n", "df_standard = pd.DataFrame(\n", " [\n", " {\"Quantity\": \"E_slab\", \"kcal/mol\": E_slab},\n", " {\"Quantity\": \"E_mol\", \"kcal/mol\": E_mol},\n", " {\"Quantity\": \"E_slab+mol\", \"kcal/mol\": E_slab_and_mol},\n", " {\"Quantity\": \"E_ads_standard (negative = more stable)\", \"kcal/mol\": E_ads_standard},\n", " ]\n", ")\n", "df_standard" ] }, { "cell_type": "markdown", "id": "08d8f39f", "metadata": {}, "source": [ "## 2) One worked example: in-cell approach\n", "\n", "For the same slab size, the in-cell approach uses two structures:\n", "\n", "- `E_slab+mol` (adsorbed geometry)\n", "- `E_slab+mol_widely_separated`\n", "\n", "with\n", "\n", "`E_ads_incell = E_slab+mol - E_slab+mol_widely_separated`\n", "\n", "Again, with this convention, more negative means more stable adsorption.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "005a672b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adsorbed slab + molecule (same as above)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z_widely_separated = 30.0\n", "slab_and_mol_widely_example = add_water(slab_example, z=z_widely_separated)\n", "\n", "print(\"Adsorbed slab + molecule (same as above)\")\n", "view(slab_and_mol_example, width=700, height=230, direction=\"tilt_x\", guess_bonds=True)" ] }, { "cell_type": "code", "execution_count": 7, "id": "aec4f8ff", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slab + molecule widely separated in the same cell\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Slab + molecule widely separated in the same cell\")\n", "view(slab_and_mol_widely_example, width=700, height=230, direction=\"tilt_x\", guess_bonds=True)" ] }, { "cell_type": "code", "execution_count": 8, "id": "814c9303", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|07:19:41] JOB example_incell_slab_and_mol_widely_separated STARTED\n", "[05.03|07:19:41] JOB example_incell_slab_and_mol_widely_separated RUNNING\n", "[05.03|07:19:41] JOB example_incell_slab_and_mol_widely_separated FINISHED\n", "[05.03|07:19:41] JOB example_incell_slab_and_mol_widely_separated SUCCESSFUL\n" ] }, { "data": { "text/html": [ "
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ApproachE_ads_kcal_mol (negative = more stable)
0Standard-10.286958
1In-cell0.652623
2Difference (in-cell - standard)10.939581
\n", "
" ], "text/plain": [ " Approach E_ads_kcal_mol (negative = more stable)\n", "0 Standard -10.286958\n", "1 In-cell 0.652623\n", "2 Difference (in-cell - standard) 10.939581" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job_widely = AMSJob(\n", " settings=s.copy(),\n", " molecule=slab_and_mol_widely_example,\n", " name=\"example_incell_slab_and_mol_widely_separated\",\n", ")\n", "job_widely.run()\n", "\n", "E_slab_and_mol_widely = job_widely.results.get_energy(unit=\"kcal/mol\")\n", "E_ads_incell = E_slab_and_mol - E_slab_and_mol_widely\n", "difference_incell_minus_standard = E_ads_incell - E_ads_standard\n", "\n", "df_compare = pd.DataFrame(\n", " [\n", " {\"Approach\": \"Standard\", \"E_ads_kcal_mol (negative = more stable)\": E_ads_standard},\n", " {\"Approach\": \"In-cell\", \"E_ads_kcal_mol (negative = more stable)\": E_ads_incell},\n", " {\n", " \"Approach\": \"Difference (in-cell - standard)\",\n", " \"E_ads_kcal_mol (negative = more stable)\": difference_incell_minus_standard,\n", " },\n", " ]\n", ")\n", "df_compare" ] }, { "cell_type": "markdown", "id": "df992f56", "metadata": {}, "source": [ "## 3) Automate over slab sizes (table + graph)\n", "\n", "Now we repeat this for several supercell sizes and collect all energies in one DataFrame.\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "ec2b9301", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[05.03|07:19:41] JOB auto_slab_2 STARTED\n", "[05.03|07:19:41] JOB auto_slab_2 RUNNING\n", "[05.03|07:19:41] JOB auto_slab_2 FINISHED\n", "[05.03|07:19:41] JOB auto_slab_2 SUCCESSFUL\n", "[05.03|07:19:41] JOB auto_mol_2 STARTED\n", "[05.03|07:19:41] Job auto_mol_2 previously run as example_standard_mol, using old results\n", "[05.03|07:19:41] JOB auto_mol_2 COPIED\n", "[05.03|07:19:41] JOB auto_slab_and_mol_2 STARTED\n", "[05.03|07:19:41] JOB auto_slab_and_mol_2 RUNNING\n", "[05.03|07:19:42] JOB auto_slab_and_mol_2 FINISHED\n", "[05.03|07:19:42] JOB auto_slab_and_mol_2 SUCCESSFUL\n", "[05.03|07:19:42] JOB auto_widely_2 STARTED\n", "[05.03|07:19:42] JOB auto_widely_2 RUNNING\n", "[05.03|07:19:42] JOB auto_widely_2 FINISHED\n", "[05.03|07:19:42] JOB auto_widely_2 SUCCESSFUL\n", "[05.03|07:19:42] JOB auto_slab_3 STARTED\n", "[05.03|07:19:42] Job auto_slab_3 previously run as example_standard_slab, using old results\n", "[05.03|07:19:42] JOB auto_slab_3 COPIED\n", "[05.03|07:19:42] JOB auto_mol_3 STARTED\n", "[05.03|07:19:42] Job auto_mol_3 previously run as example_standard_mol, using old results\n", "[05.03|07:19:42] JOB auto_mol_3 COPIED\n", "[05.03|07:19:42] JOB auto_slab_and_mol_3 STARTED\n", "[05.03|07:19:42] Job auto_slab_and_mol_3 previously run as example_standard_slab_and_mol, using old results\n", "[05.03|07:19:42] JOB auto_slab_and_mol_3 COPIED\n", "[05.03|07:19:42] JOB auto_widely_3 STARTED\n", "[05.03|07:19:42] Job auto_widely_3 previously run as example_incell_slab_and_mol_widely_separated, using old results\n", "[05.03|07:19:42] JOB auto_widely_3 COPIED\n", "[05.03|07:19:42] JOB auto_slab_4 STARTED\n", "[05.03|07:19:42] JOB auto_slab_4 RUNNING\n", "[05.03|07:19:42] JOB auto_slab_4 FINISHED\n", "[05.03|07:19:42] JOB auto_slab_4 SUCCESSFUL\n", "[05.03|07:19:42] JOB auto_mol_4 STARTED\n", "[05.03|07:19:42] Job auto_mol_4 previously run as example_standard_mol, using old results\n", "[05.03|07:19:42] JOB auto_mol_4 COPIED\n", "[05.03|07:19:42] JOB auto_slab_and_mol_4 STARTED\n", "[05.03|07:19:42] JOB auto_slab_and_mol_4 RUNNING\n", "[05.03|07:19:42] JOB auto_slab_and_mol_4 FINISHED\n", "[05.03|07:19:42] JOB auto_slab_and_mol_4 SUCCESSFUL\n", "[05.03|07:19:42] JOB auto_widely_4 STARTED\n", "[05.03|07:19:42] JOB auto_widely_4 RUNNING\n", "[05.03|07:19:42] JOB auto_widely_4 FINISHED\n", "[05.03|07:19:42] JOB auto_widely_4 SUCCESSFUL\n", "[05.03|07:19:42] JOB auto_slab_6 STARTED\n", "[05.03|07:19:42] JOB auto_slab_6 RUNNING\n", "[05.03|07:19:42] JOB auto_slab_6 FINISHED\n", "[05.03|07:19:42] JOB auto_slab_6 SUCCESSFUL\n", "[05.03|07:19:42] JOB auto_mol_6 STARTED\n", "[05.03|07:19:42] Job auto_mol_6 previously run as example_standard_mol, using old results\n", "[05.03|07:19:42] JOB auto_mol_6 COPIED\n", "[05.03|07:19:42] JOB auto_slab_and_mol_6 STARTED\n", "[05.03|07:19:42] JOB auto_slab_and_mol_6 RUNNING\n", "[05.03|07:19:43] JOB auto_slab_and_mol_6 FINISHED\n", "[05.03|07:19:43] JOB auto_slab_and_mol_6 SUCCESSFUL\n", "[05.03|07:19:43] JOB auto_widely_6 STARTED\n", "[05.03|07:19:43] JOB auto_widely_6 RUNNING\n", "[05.03|07:19:43] JOB auto_widely_6 FINISHED\n", "[05.03|07:19:43] JOB auto_widely_6 SUCCESSFUL\n", "[05.03|07:19:43] JOB auto_slab_9 STARTED\n", "[05.03|07:19:43] JOB auto_slab_9 RUNNING\n", "[05.03|07:19:43] JOB auto_slab_9 FINISHED\n", "[05.03|07:19:43] JOB auto_slab_9 SUCCESSFUL\n", "[05.03|07:19:43] JOB auto_mol_9 STARTED\n", "[05.03|07:19:43] Job auto_mol_9 previously run as example_standard_mol, using old results\n", "[05.03|07:19:43] JOB auto_mol_9 COPIED\n", "[05.03|07:19:43] JOB auto_slab_and_mol_9 STARTED\n", "[05.03|07:19:43] JOB auto_slab_and_mol_9 RUNNING\n", "[05.03|07:19:43] JOB auto_slab_and_mol_9 FINISHED\n", "[05.03|07:19:43] JOB auto_slab_and_mol_9 SUCCESSFUL\n", "[05.03|07:19:43] JOB auto_widely_9 STARTED\n", "[05.03|07:19:43] JOB auto_widely_9 RUNNING\n", "[05.03|07:19:44] JOB auto_widely_9 FINISHED\n", "[05.03|07:19:44] JOB auto_widely_9 SUCCESSFUL\n" ] }, { "data": { "text/html": [ "
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supercell_nn_atoms_in_slabEslab_kcal_molEmol_kcal_molEslab_and_mol_kcal_molEslab_and_mol_widely_separated_kcal_molEads_standard_kcal_mol (negative=more stable)Eads_incell_kcal_mol (negative=more stable)Eads_incell_minus_standard_kcal_mol
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491620-138641.125108-248.178898-138899.815004-138900.879160-10.5109981.06415611.575154
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" ], "text/plain": [ " supercell_n n_atoms_in_slab Eslab_kcal_mol Emol_kcal_mol \\\n", "0 2 80 -6846.475323 -248.178898 \n", "1 3 180 -15404.569450 -248.178898 \n", "2 4 320 -27385.901246 -248.178898 \n", "3 6 720 -61618.277844 -248.178898 \n", "4 9 1620 -138641.125108 -248.178898 \n", "\n", " Eslab_and_mol_kcal_mol Eslab_and_mol_widely_separated_kcal_mol \\\n", "0 -7104.163642 -7104.021828 \n", "1 -15663.035306 -15663.687930 \n", "2 -27644.479149 -27645.323622 \n", "3 -61876.932838 -61877.927853 \n", "4 -138899.815004 -138900.879160 \n", "\n", " Eads_standard_kcal_mol (negative=more stable) \\\n", "0 -9.509421 \n", "1 -10.286958 \n", "2 -10.399005 \n", "3 -10.476095 \n", "4 -10.510998 \n", "\n", " Eads_incell_kcal_mol (negative=more stable) \\\n", "0 -0.141814 \n", "1 0.652623 \n", "2 0.844473 \n", "3 0.995015 \n", "4 1.064156 \n", "\n", " Eads_incell_minus_standard_kcal_mol \n", "0 9.367607 \n", "1 10.939581 \n", "2 11.243477 \n", "3 11.471110 \n", "4 11.575154 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "supercells: List[int] = [2, 3, 4, 6, 9]\n", "rows = []\n", "\n", "for n in supercells:\n", " slab_cs = slab_system.make_supercell([n, n])\n", " mol_cs = add_water(ChemicalSystem(), z=z_ads)\n", " slab_and_mol_cs = add_water(slab_cs, z=z_ads)\n", " slab_and_mol_widely_cs = add_water(slab_cs, z=z_widely_separated)\n", "\n", " slab_job = AMSJob(settings=s.copy(), molecule=slab_cs, name=f\"auto_slab_{n}\")\n", " mol_job = AMSJob(settings=s.copy(), molecule=mol_cs, name=f\"auto_mol_{n}\")\n", " ads_job = AMSJob(settings=s.copy(), molecule=slab_and_mol_cs, name=f\"auto_slab_and_mol_{n}\")\n", " widely_job = AMSJob(settings=s.copy(), molecule=slab_and_mol_widely_cs, name=f\"auto_widely_{n}\")\n", "\n", " slab_job.run()\n", " mol_job.run()\n", " ads_job.run()\n", " widely_job.run()\n", "\n", " e_slab = slab_job.results.get_energy(unit=\"kcal/mol\")\n", " e_mol = mol_job.results.get_energy(unit=\"kcal/mol\")\n", " e_ads_struct = ads_job.results.get_energy(unit=\"kcal/mol\")\n", " e_widely = widely_job.results.get_energy(unit=\"kcal/mol\")\n", "\n", " eads_standard = e_ads_struct - e_slab - e_mol\n", " eads_incell = e_ads_struct - e_widely\n", "\n", " rows.append(\n", " {\n", " \"supercell_n\": n,\n", " \"n_atoms_in_slab\": len(slab_cs),\n", " \"Eslab_kcal_mol\": e_slab,\n", " \"Emol_kcal_mol\": e_mol,\n", " \"Eslab_and_mol_kcal_mol\": e_ads_struct,\n", " \"Eslab_and_mol_widely_separated_kcal_mol\": e_widely,\n", " \"Eads_standard_kcal_mol (negative=more stable)\": eads_standard,\n", " \"Eads_incell_kcal_mol (negative=more stable)\": eads_incell,\n", " \"Eads_incell_minus_standard_kcal_mol\": eads_incell - eads_standard,\n", " }\n", " )\n", "\n", "df = pd.DataFrame(rows).sort_values(\"n_atoms_in_slab\").reset_index(drop=True)\n", "df" ] }, { "cell_type": "code", "execution_count": 10, "id": "97499f3f", "metadata": {}, "outputs": [ { "data": { "image/png": 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AWIdvZhUg021kkuqBDwEvTyfdQtKwrHOo9SLijEFm/STPsi3AKenwI8BhWWIzq3Sbt3fS2NLG6pY21jRvYlXzJh7esKXvVqO50yZx6MKZfGDpfixbOItli2ayeO7Uftd2IxjzTiLMrLJlvQ/8m0A98D/p+LvSaWeVIiizavXc1g7WtLT1VYOvaWnj0ae39s3fY+Zkli2cxWuev4BlC2eybNEsFsyaUrAhVjk6iTCzypY1gb8oInJLxL+TdG8pAjKrFhs272B1yybWpFXgq1s2se65nX0hL5rdwLJFMzn9iEUsWzSLQxfNZPcZU0a8v7HuJMLMKlvWBN4taf+IeBhA0n4kXZyajXsRQeum7X0Ny9Y0b2J1yyaebNt5TXrfedM4fO/ZvPPofVi2cBaHLpzJnGmTyhi1mY13WRP4ecDvJT0CCNgHeG/JojIrk4jgiWfb+7UEX9O8iWe2dgBQI9h//nResv88Dk2rwA9ZOJOZU+rLHLmZTTSZEnhE3CzpAKC3xczaiNi1SaxZFenpCR59ZmvaCjypBl/Tsom27V0A1NWIA/eYwQkH755UgS+cxcELZjB1kh/iZ2bll7UVei1wErAkXedVkoiIr5YwNrOi6eru4aENW5Jr1c2bWNOyicaWNrZ2JFeCJtXVcPCeMzj1sIUsWziL5y+axYF7TmdyXW2ZIzczyy9rUeJnwHZgFTD8PhXNxtCOrm4efHILq5rzd4gydVIthyyYyZuX791XDf683ae75zAzqypZE/heEfGCkkZiNgLtHd00rW/r1xL8gSc309mddogyuY5DF83s6xDl0IWz2HfetAn7zGIzGz+yJvBfSjoxIn5d0mjMhrBlRxeNLW2sat7U1xL8oad2dogyZ2o9yxbN4qxjd3aIsvecqX4GspmNS1kT+J9JujatATpJWqJHRMwsWWQ2oW3clnaIktMS/JGcDlF2nzGZ5y+axcnLhtchipnZeJE1gX8VOAZYFRF+ZKcV1dNbdvT1WrZq3aZBO0R5Y2+HKAtnsvvMkXeIYmY2HmRN4E8Aq528bTQigvVt2/u1BF/d3Mb6tu19yyzZbao7RDEzyyBrAn8EuEXSL4G++799G5kNJiJY91x7WgW+iVXN+TtEOWb/3dwhipnZCGRN4I+mr0npy6xPbocofdetm90hiplZKQ35CyrpQuBXEfGZMYrHymjF3c0Fn3bV1d3Dwxu29pWsVzcP3SHKskUzOXCPGUypd4coZmbFVKgI9AjwUUmHAfcCvwR+HRHPlTwyG1Mr7m7u97zp5o3tXHD9fTzx3DbmT5+cJus2mnI6RGmor+XQhe4QxcysHJS1XZqkI4CTgROBWuC3JKXzv5QuvOFZvnx5rFy5stxhVKWXfvF3NG9sH3R+b4coSak6eblDFDOz0pN0Z0QsHzg980XIiLgbuBv4gqSZwKuBs4CKSeA2ci1DJO9bzzvOHaKYmVWYQtfATx9idkTE2UWOx8qgo6uHqZNr2bpj10e8L5rdwD67TStDVGZmNpRCJfDXDTEvgOuLGIuVwV+f2cY5V97F1h3d1NaI7p6dl1Qa6ms576SlQ6xtZmblMmQCj4j3jlUgNvZ+uaqV86+9DwkufucL2d7ZXbAVupmZVYbM18AlvRY4FOjrwzIiPluKoKy0dnR18/mfN/H9Pz3OYXvP5htnHMHec6cCOGGbmVWJTAlc0sXAVOB44DvAm3Djtar02NNbOefKu1jd3MZZL9uX808+iEl1vu3LzKzaZC2BvyQiXiDpvoj4jKT/ILkn3KrIjfe1cMF1q6itEd9593Jedcge5Q7JzMxGKGsC773HaJukhcAzwILShGTFtr2zm8/d2Mjlt/+VIxfP5qK3H8mi2Q3lDsvMzEYhawK/UdJs4CvAXSQt0L9TqqCseB7ZsIWPXHE3Ta1tfPAV+/GPJy51T2lmZuNApgQeEZ9LB6+TdCMwJSI2lS4sK4af3tPMP12/ikl1NXzvPS/i+IN2L3dIZmZWJJmKYpI+kpbAiYgdQI2kD5cyMBu57Z3dXHDdfXz0qns4ZOFMfvHRY528zczGmax1qR+IiI29I+nDTD5QkohsVB56agtv+Mb/ctUdT/Dh4/bnyg8czYJZvt5tZjbeZL0GXitJkT75RFItfi54xbnuznV8csVqpk6q5fvvO4pXHDi/3CGZmVmJZE3gNwFXS/pWOv5B4FelCcmGa1tHF5/66RquuXMdL953Ll8/4wj2mDml8IpmZla1sibw84GzgQ+l478Bvl2SiGxYHnhyMx+5/C4e2rCFc1/5PM494QDq3MrczGzcy5rAj4iIi4GLeydIOhW4sSRRWUERwTV3ruNffrqa6ZPr+eH7XszLDphX7rDMzGyMZC2qfVvSst4RSWcA/680IVkhW3d08Q8/vpfzr72PIxfP4RcffZmTt5nZBJO1BP4m4FpJbweOBd4NnFiyqGxQ969v4yOX38WjT2/l4686kHNe+Txqa1TusMzMbIxl7cjlEUlvA1YAfwVOjIj2odeyYooIrrrjCT59wxpmNtRz+VlHc8z+u5U7LDMzK5Mhq9AlrZJ0n6T7gGuBucC+wO3ptCFJulTSU5JW50x7s6Q1knokLR9i3ZMlrZX0kKQLsh/S+LNlRxcfveoeLrx+FUftO5dffvRYJ28zswmuUAn81FFu/zLgG8APcqatBk4HvpVvBei7z/y/gVcD64A7JN0QEY2jjKfqrGnZxDlX3M3jz2zlvJOW8qFX7E+Nq8zNzCa8Qgn8mYjYMtQCkqYPtkxE3CZpyYBpTel6Q232KOChiHgkXfYq4A3AhEngEcGPbv8rn7uxkTlT67nyA0fz4v1c6jYzs0ShBP5TSfcAPwXujIitAJL2A44H3kJyP/i1RY5rEfBEzvg64MX5FpR0Nsk96ixevLjIYZRH2/ZOLrx+FT+/r5VXHDifr77lMHabPrncYZmZWQUZMoFHxAmSTiHpee2lkuYAXcBa4OfAmRGxvvRhDhnjJcAlAMuXL49yxlIMq9Zt4pwr72Ldc+184uSD+ODL93OVuZmZ7aJgK/SI+AXwizGIJVczsHfO+F7ptHFlxd3NfOWmtbRsbGfh7Cm8eL/duPHeVnabPomrzz6a5UvmljtEMzOrUFnvAx9rdwAHSNqXJHG/DXh7eUMqrhV3N3Ph9ato7+wGoHnjdq6/q5lDFszg8rOOZs40PyvGzMwGV9JOsyVdCfwJWCppnaT3S3qjpHXAMcDPJd2ULrtQ0i8AIqILOIfkISpNwI8jYk0pYx1rX7lpbV/yzrWpvdPJ28zMCippCTwizhhk1k/yLNsCnJIzXo6q+zHTsjF/PzgtG7ePcSRmZlaNhkzgkoa8CBsRzxY3nIlj4ewGmvMk8YWzG8oQjZmZVZtCVeh3AivT9w3AA8CD6fCdpQ1tfDvvpKU01Pf/+BvqaznvpKVlisjMzKrJkAk8IvaNiP2A3wKvi4h5EbEbSQ9tvx6LAMer045Y1C9ZL5rdwBdOfz6nHbGojFGZmVm1yHoN/OiI+EDvSET8UtKXSxTThLH33GkAXPehl/DCfeaUORozM6smWRN4i6RPAj9Kx98BtJQmpImjsaUNCQ7ac0a5QzEzsyqT9TayM4D5JK3Hr0+HB2thbhk1tbaxZLdpTJtcqbfjm5lZpSqYOdIng10UEe8Yg3gmlKb1bRy6cGa5wzAzsypUsAQeEd3APpLcu0gRbd7eyePPbOOQBU7gZmY2fFnrbh8B/lfSDcDW3okR8dWSRDUBrF2/GYCDncDNzGwEsibwh9NXDeAWV0XQ1NoGOIGbmdnIZErgEfGZUgcy0TS2tjF7aj0LZk0pdyhmZlaFMiVwSfOB84FDgb6MExGvLFFc415j62YO3nMmkp/1bWZmw5f1NrLLgfuBfYHPAI+RPPLTRqC7J1i7vs3V52ZmNmJZE/huEfFdoDMibo2I9wEufY/Qo09vZXtnD4f4FjIzMxuhrI3YOtP3VkmvJemFbcgnldngdjZgc3tAMzMbmawJ/F8lzQL+AbgImAl8vGRRjXONrW3U14oDdncCNzOzkcnaCv3GdHATcHzpwpkYmlrb2H/+dCbVZb2CYWZm1t+QCVzSRUAMNj8izi16RBNAU2sbL91/XrnDMDOzKlaoCLgSuJPk1rEjgQfT1+GAu1YdgWe27ODJth1uwGZmZqMyZAk8Ir4PIOlDwMsioisdvxj4Q+nDG3+aWt2FqpmZjV7Wi7BzSBqu9ZqeTrNhcheqZmZWDFlboX8RuFvS7wEBLwc+XaqgxrPG1jb2nDmFudN8BcLMzEYuayv070n6JfDidNInImJ96cIav5pa23z/t5mZjdpw7mOqBTYAzwEHSnp5aUIav3Z0dfPQU1tcfW5mZqOW9WEmXwLeCqwBetLJAdxWorjGpQef3EJXT7gFupmZjVrWa+CnAUsjYkcJYxn33IDNzMyKJWsV+iNAfSkDmQgaW9toqK9lyW7Tyh2KmZlVuawl8G3APZJuBvpK4e6JbXiaWttYuucMamv8DHAzMxudrAn8hvRlIxQRNLVu5pTnLyh3KGZmNg5kvY3s+6UOZLxr2bSdTe2dbsBmZmZFkbUV+gHAF4BDSPpFByAi9itRXONOU0vSgO0Q3wNuZmZFkLUR2/eAbwJdJI8T/QHwo1IFNR71tkBfuqdL4GZmNnpZE3hDRNwMKCIej4hPA68tXVjjT2NrG0t2m8r0yVmbHZiZmQ0uazbZIakGeFDSOUAzyQNNLKOkC1WXvs3MrDiylsA/CkwFzgVeCLwTeHepghpvtuzo4vFntzmBm5lZ0WRN4EsiYktErIuI90bE3wCLC60k6VJJT0lanTNtrqTfSHowfc/7WFJJ3ZLuSV9VfQvb2vVtRMAhTuBmZlYkWRP4hRmnDXQZcPKAaRcAN0fEAcDN6Xg+7RFxePp6fcY4K1Jj62YADvYtZGZmViRDXgOX9BrgFGCRpK/nzJpJ0iJ9SBFxm6QlAya/ATguHf4+cAvwiWzhVqem1jZmTqlj4awphRc2MzPLoFAJvAVYCWwH7sx53QCcNMJ97hERrenwemCPQZabImmlpD9LOm2wjUk6O11u5YYNG0YYUmk1trRxyMKZSO5C1czMimPIEnhE3AvcK+mKiOgESK9Z7x0Rz4125xERkmKQ2ftERLOk/YDfSVoVEQ/n2cYlwCUAy5cvH2xbZdPdE6xdv5m3HbV3uUMxM7NxJOs18N9ImilpLnAX8G1J/znCfT4paQFA+v5UvoUiojl9f4Skmv2IEe6vrB57Zivtnd1uwGZmZkWVNYHPiog24HTgBxHxYuCEEe7zBuDMdPhM4KcDF5A0R9LkdHge8FKgcYT7Kys/A9zMzEohawKvS0vLbwFuzLpxSVcCfwKWSlon6f3AF4FXS3oQeFU6jqTlkr6TrnowsFLSvcDvgS9GRNUm8LoaccAe7vfGzMyKJ2tPbJ8FbgL+GBF3pNelHyy0UkScMcisXUrvEbESOCsd/j/g+Rljq2iNLW08b/fpTK6rLXcoZmY2jmQqgUfENRHxgoj4cDr+SNqZCwCSstwTPiE1tW529bmZmRVd1ir0Qt5cpO2MK89u7WB923YO9iNEzcysyIqVwH2Dcx69DdgOWTCrzJGYmdl4U6wEXnH3X1eCnS3QXQI3M7Picgm8hBpb29h9xmR2mz653KGYmdk4U6wEfk2RtjOu9HahamZmVmyZErikL6c9sdVLulnSBknv7J0fEZ8vXYjVqaOrh4c3bHELdDMzK4msJfAT057YTgUeA54HnFeqoMaDh57aQmd3uAtVMzMricw9saXvrwWuiYhNJYpn3Gh0F6pmZlZCWXtiu1HS/UA78CFJ80keMWqDaGptY0p9DfvOm1buUMzMbBzK2hPbBcBLgOXpY0W3AW8oZWDVrqm1jaV7zqS2xg30zcys+IYsgUs6Pc+03NHrix3QeBARNLa28Zple5Y7FDMzG6cKVaG/Ln3fnaQE/rt0/Hjg/3ACz2t923Y2buv09W8zMyuZIRN4RLwXQNKvgUMiojUdXwBcVvLoqlRjS28Xqk7gZmZWGllboe/dm7xTTwKLSxDPuNDbhepBTuBmZlYiWVuh3yzpJuDKdPytwG9LE1L1a2rdzOK5U5k+OevHa2ZmNjyZMkxEnJM2aDs2nXRJRPykdGFVt8bWNlefm5lZSWUuIkbE9bjRWkHbOrp47JmtnHb4onKHYmZm41jWvtCPlnSHpC2SOiR1S2ordXDV6P71m4nwI0TNzKy0sjZi+wZwBvAg0ACcBfx3qYKqZn0t0P0UMjMzK6HMjxONiIeA2ojojojvASeXLqzq1dTaxswpdSya3VDuUMzMbBzLeg18m6RJwD2Svgy0UrxniY8rTa1tHLxg5sAe68zMzIoqaxJ+V7rsOcBWYG/gb0oVVLXq6QnuX7/ZPbCZmVnJFeoLfWZEtEXE4+mk7cBn0nnuyGWAx5/dxraObt9CZmZmJVeoBH5L74CkmwfMW1HsYKpdbw9sbsBmZmalViiB517InTvEPCNpgV5bI563+/Ryh2JmZuNcoQQegwznG5/wmlrb2H/+NKbU15Y7FDMzG+cKtULfXdLfk5S2e4dJx+eXNLIq1Njaxov3HVhRYWZmVnyFEvi3gRl5hgG+U5KIqtTGbR20btruFuhmZjYmCj0P/DNjFUi1a0wbsDmBm5nZWHBnLEXS24WqE7iZmY0FJ/AiaWrdzPwZk5k/Y3K5QzEzswnACbxImvwMcDMzG0PDTuCSbixFINWso6uHB59yF6pmZjZ2RlICX1T0KKrcwxu20Nkdfga4mZmNmZEk8LuLHkWV6+1C9VB3oWpmZmNk2Ak8It6XdVlJl0p6StLqnGlzJf1G0oPp+5xB1j0zXeZBSWcON86x1NjSxuS6GpbsNq3coZiZ2QRR6kZslwEnD5h2AXBzRBwA3JyO9yNpLvAp4MXAUcCnBkv0laBpfRtL95xBXa3bBJqZ2dgoacaJiNuAZwdMfgPw/XT4+8BpeVY9CfhNRDwbEc8Bv2HXfwQqQkTQ1LrZLdDNzGxMlaPIuEdEtKbD64E98iyzCHgiZ3wdgzSek3S2pJWSVm7YsKG4kWbwZNsOnt3a4RboZmY2pobsSlXSzxjiqWMR8frR7DwiQtKonmoWEZcAlwAsX758zJ+Q1uQuVM3MrAwKPczk30uwzyclLYiIVkkLgKfyLNMMHJczvhdwSwliGbXePtAP8i1kZmY2hgo9zOTWEuzzBuBM4Ivp+0/zLHMT8PmchmsnAheWIJZRa2xtY++5DcycUl/uUMzMbAIpVIW+ivxV6CKpAX9BgfWvJClJz5O0jqRl+ReBH0t6P/A48JZ02eXA30bEWRHxrKTPAXekm/psRAxsDFcRmlrbOHhPV5+bmdnYKlSFfupoNh4RZwwy64Q8y64EzsoZvxS4dDT7L7VtHV08+vRWXn/YwnKHYmZmE0yhKvTHe4cl7QMcEBG/ldRQaN2JYO36zUS4AZuZmY29TLeRSfoAcC3wrXTSXsCKEsVUNZpaNwP4HnAzMxtzWe8D/wjwUqANICIeBHYvVVDVorF1EzOm1LHXnIZyh2JmZhNM1gS+IyI6ekck1THE/eETRVPrZg7ecyaSyh2KmZlNMFkT+K2S/glokPRq4BrgZ6ULq/L19AT3t7ZxiJ9AZmZmZZA1gV8AbABWAR8EfgF8slRBVYO/PruNrR3dfga4mZmVRdaW5A3ApRHxbQBJtem0baUKrNK5C1UzMyunrCXwm0kSdq8G4LfFD6d6NLW2UVsjDtzDJXAzMxt7WRP4lIjY0juSDk8tTUjVobG1jf3mTWNKfW25QzEzswkoawLfKunI3hFJLwTaSxNSdWhq3ezqczMzK5us18A/BlwjqYWkH/Q9gbeWKqhKt3FbB80b23nXMfuUOxQzM5ugMiXwiLhD0kHA0nTS2ojoLF1Yla23BzaXwM3MrFyG05/5i4Al6TpHSiIiflCSqCrczhbobsBmZmblkSmBS/ohsD9wD9CdTg5gQibwxtY25k2fzO4zppQ7FDMzm6CylsCXA4dExITvPhXSZ4C79G1mZmWUtRX6apKGaxNeZ3cPDz65xV2omplZWWUtgc8DGiX9BdjROzEiXl+SqCrYwxu20NHd40eImplZWWVN4J8uZRDVxF2omplZJch6G9mtpQ6kWjS1bmZSXQ37zZtW7lDMzGwCGzKBS/pjRLxM0mb6P/9bQETEhCuGNra0sXSPGdTVZm0+YGZmVnxDJvCIeFn6PmSTa0lzIuK5YgZWiSKCptY2Tjh493KHYmZmE1yxipE3F2k7FW3D5h08s7XDDdjMzKzsipXAVaTtVLQ1bsBmZmYVolgJfEJ08NLbAv0gJ3AzMyszt8QahqbWzew1p4FZDfXlDsXMzCY4V6EPQ2PLJlefm5lZRciUwCXtL2lyOnycpHMlzc5Z5IRSBFdJ2ju6efTprW7AZmZmFSFrCfw6oFvS84BLgL2BK3pnRsSzJYitoqx9cjM94QZsZmZWGbIm8J6I6ALeCFwUEecBC0oXVuXpbcDmEriZmVWCrAm8U9IZwJnAjem0CdWSq6m1jRmT69hrTkO5QzEzM8ucwN8LHAP8W0Q8Kmlf4IelC6vyNLa0cdCCGdTUTIj2emZmVuGyPsykETg3Z/xR4EulCqrS9PQE96/fzOlHLip3KGZmZkDhh5msYohOWiLiBUWPqAKte66dLTu6fP3bzMwqRqES+Knp+0fS995q83cyQXpfA2hs3QS4BbqZmVWOQk8jexxA0qsj4oicWZ+QdBdwQSmDqxSNrZupESzdc8iHspmZmY2ZrI3YJOmlOSMvGca6g23wo5JWS1oj6WN55h8naZOke9LXv4xmf6PR1NrGfvOnM6W+tlwhmJmZ9ZOpERvwfuBSSbNIuk19DnjfSHcqaRnwAeAooAP4laQbI+KhAYv+ISJO3WUDY6yxpY0j95lT7jDMzMz6ZCpFR8SdEXEYcBjwgog4PCLuGsV+DwZuj4htaQcxtwKnj2J7JbOpvZPmje0cvMDV52ZmVjmylsCR9FrgUGCKlNwLHRGfHeF+VwP/Jmk3oB04BViZZ7ljJN0LtAD/GBFr8sR1NnA2wOLFi0cYzuDudw9sZmZWgTIlcEkXA1OB44HvAG8C/jLSnUZEk6QvAb8GtgL3AN0DFrsL2Ccitkg6BVgBHJBnW5eQ9M/O8uXLi94yvtEJ3MzMKlDWhmgviYh3A89FxGdIemU7cDQ7jojvRsQLI+LlJNfUHxgwvy0itqTDvwDqJc0bzT5Hoqm1jXnTJzF/xuSx3rWZmdmgsibw9vR9m6SFQCejfJiJpN3T98Uk17+vGDB/T6V19ZKOSmN9ZjT7HInG1jYOXjCT3ssGZmZmlSDrNfAb0+d/f4WkajtIqtJH47r0Gngn8JGI2CjpbwEi4mKSavoPSeoi+QfibRExpp3HdHX38MCTW3jPS5aM5W7NzMwKytoX+ufSwesk3QhMiYhNo9lxRBybZ9rFOcPfAL4xmn2M1iNPb6Wjq8fXv83MrOIMWYUu6fyc4TcDRMSOiNgk6fOlDq7cGluSBmzuQtXMzCpNoWvgb8sZvnDAvJOLHEvFaWptY1JtDfvNn1buUMzMzPoplMA1yHC+8XGnsbWNA/ecTn3tqHqNNTMzK7pCmSkGGc43Pm6suLuZl37xd/zhwad5ZMNWVtzdXO6QzMzM+inUiO0wSW0kpe2GdJh0fEpJIyuTFXc3c+H1q2jvTPqV2dbRzYXXrwLgtCMWlTM0MzOzPkOWwCOiNiJmRsSMiKhLh3vH68cqyLH0lZvW9iXvXu2d3XzlprVlisjMzGxXvrg7QMvG9mFNNzMzKwcn8AEWzm4Y1nQzM7NycAIf4LyTltJQX9tvWkN9LeedtLRMEZmZme0q8+NEJ4rehmpfuWktLRvbWTi7gfNOWuoGbGZmVlGcwPM47YhFTthmZlbRXIVuZmZWhZzAzczMqpATuJmZWRVyAjczM6tCTuBmZmZVSBHj55kkkjYAj5c7jiKZBzxd7iCKyMdT2cbT8YynYwEfT6Ubi+PZJyLmD5w4rhL4eCJpZUQsL3ccxeLjqWzj6XjG07GAj6fSlfN4XIVuZmZWhZzAzczMqpATeOW6pNwBFJmPp7KNp+MZT8cCPp5KV7bj8TVwMzOzKuQSuJmZWRVyAjczM6tCTuBlImlvSb+X1ChpjaSPptPnSvqNpAfT9znpdEn6uqSHJN0n6cjyHsGuJNVKulvSjen4vpJuT2O+WtKkdPrkdPyhdP6Ssgaeh6TZkq6VdL+kJknHVPm5+Xj6PVst6UpJU6rp/Ei6VNJTklbnTBv2+ZB0Zrr8g5LOLMexpHHkO56vpN+3+yT9RNLsnHkXpsezVtJJOdNPTqc9JOmCMT6M3hh2OZacef8gKSTNS8er8tyk0/8uPT9rJH05Z3r5zk1E+FWGF7AAODIdngE8ABwCfBm4IJ1+AfCldPgU4JeAgKOB28t9DHmO6e+BK4Ab0/EfA29Lhy8GPpQOfxi4OB1+G3B1uWPPcyzfB85KhycBs6v13ACLgEeBhpzz8p5qOj/Ay4EjgdU504Z1PoC5wCPp+5x0eE4FHc+JQF06/KWc4zkEuBeYDOwLPAzUpq+Hgf3S7+i9wCGVcCzp9L2Bm0g615pX5efmeOC3wOR0fPdKODdj/uH4NeiX5qfAq4G1wIJ02gJgbTr8LeCMnOX7lquEF7AXcDPwSuDG9A/06ZwfpGOAm9Lhm4Bj0uG6dDmV+xhyjmUWScLTgOnVem4WAU+kP4516fk5qdrOD7BkwI/qsM4HcAbwrZzp/ZYr9/EMmPdG4PJ0+ELgwpx5N6Xnq++c5Vuu3McCXAscBjzGzgReleeG5J/dV+VZrqznxlXoFSCtojwCuB3YIyJa01nrgT3S4d4f4V7r0mmV4mvA+UBPOr4bsDEiutLx3Hj7jiWdvyldvlLsC2wAvpdeEviOpGlU6bmJiGbg34G/Aq0kn/edVO/56TXc81HR52mA95GUVKEKj0fSG4DmiLh3wKyqO5bUgcCx6SWlWyW9KJ1e1uNxAi8zSdOB64CPRURb7rxI/nWr+Pv8JJ0KPBURd5Y7liKpI6lC+2ZEHAFsJami7VMt5wYgvTb8BpJ/TBYC04CTyxpUkVXT+ShE0j8DXcDl5Y5lJCRNBf4J+Jdyx1JEdSQ1WEcD5wE/lqTyhuQEXlaS6kmS9+URcX06+UlJC9L5C4Cn0unNJNeUeu2VTqsELwVeL+kx4CqSavT/AmZLqkuXyY2371jS+bOAZ8Yy4ALWAesi4vZ0/FqShF6N5wbgVcCjEbEhIjqB60nOWbWen17DPR+Vfp6Q9B7gVOAd6T8lUH3Hsz/JP4v3pr8JewF3SdqT6juWXuuA6yPxF5KaxnmU+XicwMsk/e/tu0BTRHw1Z9YNQG8LzDNJro33Tn932orzaGBTTvVhWUXEhRGxV0QsIWn09LuIeAfwe+BN6WIDj6X3GN+ULl8xpaeIWA88IWlpOukEoJEqPDepvwJHS5qafu96j6cqz0+O4Z6Pm4ATJc1JayVOTKdVBEknk1yGen1EbMuZdQPwNiV3B+wLHAD8BbgDOEDJ3QSTSP72bhjruAeKiFURsXtELEl/E9aRNNhdT5WeG2AFSUM2JB1I0jDtacp9bsrVSGCiv4CXkVT53Qfck75OIbnWeDPwIEmrx7np8gL+m6Rl4ypgebmPYZDjOo6drdD3S7/MDwHXsLMF55R0/KF0/n7ljjvPcRwOrEzPzwqSlrFVe26AzwD3A6uBH5K0mq2a8wNcSXL9vpMkIbx/JOeD5NryQ+nrvRV2PA+RXDft/T24OGf5f06PZy3wmpzpp5DcwfIw8M+VciwD5j/GzkZs1XpuJgE/Sv9+7gJeWQnnxl2pmpmZVSFXoZuZmVUhJ3AzM7Mq5ARuZmZWhZzAzczMqpATuJmZWRVyAjerApK+IOl4SadJunCY6x4n6SWlii3P/v5W0ruLsJ3Hep9iNcQyW0a7H7Nq5QRuVh1eDPwZeAVw2zDXPQ4YswQeERdHxA/Gan9mE5UTuFkFU/KM6PuAFwF/As4Cvilpl36mJb0ufdjC3ZJ+K2mP9EE5fwt8XNI9ko6VtETS79LnMd8saXG6/mWSvinpz5IeSUvulyp5Hvpl6TK16XKrJa2S9PE8cXxa0j+mw7dI+pKkv0h6QNKxeZZfIOm2NL7VgyyzQtKdSp7FfPaAef+ZTr9Z0vzhf8pm1ckJ3KyCRcR5JD1BXUaSxO+LiBdExGfzLP5H4OhIHsByFXB+RDxG8qzv/4yIwyPiD8BFwPcj4gUkD8z4es425pA8CvHjJF0//idwKPB8SYeT9FC3KCKWRcTzge9lOIy6iDgK+BjwqTzz307y6MXDSR4/eU+eZd4XES8ElgPnSup9Oto0YGVEHArcOsj2zcalusKLmFmZHQncCxwENA2x3F7A1emDPSaRPNM8n2OA09PhHwJfzpn3s4gISauAJyNiFYCkNSTPSL4V2E/SRcDPgV9niL/3QT13ptsY6A7g0vThPisi4p48y5wr6Y3p8N4kfU4/Q/JQiavT6T/K2ZfZuOcSuFmFknS4pHuAfwP+kSRhnpRWNTfkWeUi4BtpyfiDJH2aD9eO9L0nZ7h3vC4iniMpJd9CUjX/nWFss5s8hYaIuA14OcnTmi4b2ABO0nEkT1Q7JiIOA+5m8GNz39A2YTiBm1WoiLgnrVZ+ADgE+B1wUloV3p5nlVnsfGThmTnTNwMzcsb/j+TpSADvAP6QNaa0VXhNRFwHfJKkdmBUJO1DUtr/Nsk/BAO3OQt4LiK2STqI5JnMvWrY+US1t5NcRjCbEFyFblbB0kZZz0VEj6SDIqJxiMU/DVwj6TmSZL9vOv1nwLWS3gD8Xfr6nqTzgA3Ae4cR0qJ03d5//od1S9sgjgPOk9QJbAEG3oL2K+BvJTWRPPHpzznztgJHSfokyfPA31qEeMyqgp9GZmZmVoVchW5mZlaFnMDNzMyqkBO4mZlZFXICNzMzq0JO4GZmZlXICdzMzKwKOYGbmZlVof8PC4CoIa2uPzgAAAAASUVORK5CYII=", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 4))\n", "ax.plot(df[\"n_atoms_in_slab\"], df[\"Eads_incell_minus_standard_kcal_mol\"], \"o-\")\n", "ax.set_xlabel(\"# atoms in slab\")\n", "ax.set_ylabel(\"Eads_incell - Eads_standard (kcal/mol)\")\n", "ax.set_title(r\"ReaxFF standard vs. in-cell for H$_2$O on ZnO(10$\\bar{1}$0)\")\n", "fig.tight_layout()\n", "ax;" ] } ], "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": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 5 }