{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8274fa8a-4015-4951-9006-40dc2bb36f12",
   "metadata": {},
   "source": [
    "## Bulk wurtzite ZnO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "faf2c5b5-ce58-4632-b13a-5602fe1e5569",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10.04|12:54:49] Starting Xvfb...\n",
      "[10.04|12:54:50] Xvfb started\n"
     ]
    },
    {
     "data": {
      "image/png": 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Ds7e0sHAwwlSakyDFIjHmdrjYzgP7We32bUxN4XzAdXgiMHA2Dkc+inO67vATnxN3oud0H+dtz3EEocJ4wNS41xyNCJC3XCsICsGwmA33jC4XywbnevK88+CBH2CsqYlhGiU4MXt0te95lKQnJC501ar3g4UFIxZ++N6H211u31sNthonCIvUBUnSyV6UpPjTChVHObwXtyEWVrS+oY4/duwYVKsoU6vU7PDBwywD5gadTssEiD2HwykQZ9uyZ7f1lVdfOZyamqLCQhcZMEW+JrqpogricRBkjKxdHCQUXfMgFtGEjiMvPsN98R6uQUSRWKywIS0ty4KR3AhbWQYIVQdOpnS7WT4IDIq7SIxRDAB7KMRXYXpeq1RWUotsbWYUOk36BGYM5ZVFN2/ePT43s+SCIcUlFwRCwTuttvr33X73fVI1YCAIi6+tra1C5L719Q31U6uqqyKYoYBTK1nlvkoG4x3TaXVie2GBDze3NKuD0chj9faWvyQYCWmZev38Vo57sFoQwlpBUClAUGEQnQMElgF9T4nzQDgc84HodsVi9f9ibAuGOBH1v40YnDx5MgfvDKZN1d44uLBI0CoVoYZaW9TjdX0NK7wZOG1od/ZLKPfqb8KK04YAQroPyuPX+w/sAyNKFTXMjIx9AvQAcCwd3Gj4qD/oV++t3Lt50eKXX8HmBYI1BiScOwLa9bdlYGgzoVKlpaQs9AeDPzrCcRbsNg2Di6m84GotIKQ0VKbGj2aG8Cvj9/D8ghV1dT68K05A4g1J8iO3fv16slullhQUTB+Um8epBKZpqKmpaPbYV6VnZPxH6Vg02olr7cnPz5+O0EUf1vrqM/xQon0+L2c0GJlKrabgFTz0ro17KvfcIcAxFeuGHKbJMfwS0ZekwCqqq6ubAMMMH2Of7uN5nQscqlkQomYQEzCu8ME87caMysnYnz9uaFhchnsz2pd+EgGE1GVMBrwVghAZnJ8/rTi/oMCg04YCbpe6sa7270ZzbiASCBDHkiQNGMcCB+JBJN/ccvU1WPLh+KqGutjevXtCYEdexBq1wbFu9caNG3+NVoc4kj4LEi5+ROLCMsc6ENelQUFYWMXYVAQ2UBK3ghiMXZyWzn9bqbS69+974KM2VU5cB5GkJyQo9O6yMqFi2TKWn517e47RBA7MKWuOVvs3bFy/bPKttxZG/f4MCaoViyTFrt8T5L7obZlpNN4+YdhwyzUTJoYe+5+5/Oxrp/0UXGTobbfd9t377rtvGRTPEPIS8YPeJElx4tpZX1d3LWhprFsQfrDf4/nrUKynzc/NDd+en5953ogR36UJQTnglgQKaQrlbnv/fWqfqTA7+8ock1FIx4bhxoaGjSs3bGiF2YWsLLDVSJMGhLDKp0wRld9heQU3l1gymcftVh2vPe4ozMn8GM2EPs2FYMCj8NvclPa80jRfLJWQT3jgGhsbKxvr6t72OxwP1fn9vt0+nyKWlsblGYxQyZgwJStLKgIXAUnkHw1e4I8ZMzJuGVlQaMpMTw8HvV7mdjnfQD3klxWG0VTsh0TWGy9rIAgLarDo0Th8cFbmFbn6jGi6RsN5XM4VP16wwEGNJvsK7JHEpgXSq+LASnikOoho+FFtOrt9XzD45R6fj4/xCsFiMF75+qBBBg7rbMhEzCvp08nBm182LDcXmmFMdez4cbs/6FsJ4KmttHvFRA2RAsf9TlgYSeJXAYozs28uzS/UmLWpUaejVTh4tOYNtJE6TYCdyw8j6kB0YKySEA4Y4Jy4DFvVWFMkHDZYLKbSwuLrAdu/izjk+cceo8GSNyQr+9KcdH0s7Pdz9U2NXzz4/PN23CenDTdwTAQmSep35R1bz6MYKVyxxXzLsKwsFg0E1dX1DbbX1v5jM1ooNhQxMn20Ek+isN3GktDGn8lkgWdk0uCw7PTRLo/3D3s9XkN+bh4zGzNmA4i3p9x9tyCUl3ciejSH4CPY6aSvndXnMmjwwnYVK7RYZpTmF2hNKSmhgN+nbrJaXyVAkegTMkHgGOtb0qT+Jix493Lk137hYItlYr5eHwlhj2FEwW/Esq4H/qbEQUXRh3wa/KiT+tpRp2EOrP+0ex1ukPily+bDCsWq3S7nHVPgkpVpNF3ywYQJudyMGQ0d8p56mghY+1IGESUjMQirKAZv5qxh8GBACB91s73V+uo/12wQKKgdbIFPP/00cS09vl2kkuI7RP1KWBhJaG8FKzGZbhmdk8tlKJWxulYHS8/J2kBOzGVlZVBjlrGLL744uGTJkvxHH310BkYWzEsxO359QbhIANDbevQdGk9Li6KooCD82LPPbsEeyFl1wWC4JDNTWzT8vNsfuOOO90p8PrWz3ScL/uOkCFMgkx7PsMgADH+wGNp2Wpv6+NEpsTyu7YseI4ZYMscWQIf1Op28JxreBSR48IyUKsKHe+HChWG4KmtwHqYbiUz9SljtYlAx2GS6cTAMoTw+xNTQam9S5RVW01CDSwcplKyqqgoHjqzxFC/TA2W+V7og3kvHjIfWhc7pOzSpBgMXhZ/Ytdddd2TrsvetexyOzJKCQqbTp9/PvN76gEqlFKdcqAD10LdqKMQlWbh7lJxOJwc9Uo+VB7zaWc/BfQ7fEwrC+wB2254ncB8KqqYAPLzRYvEueXnRzJEWi8qI2BI19hbOzjH3Uy+8cE3E4xHrxP5CBYzUWUVFRTQrTnjqT8ISxWCaMuWyoUbTiJzUVFEMWn2eNboss7djy/bu3avOysqq+9WvflXR8f5AnMP28/HOlpY5V2GlvDjDkHPl+s3bbli78lBfYXn22WdTiTt1xbVApFgn7/lHpwgWeIukQzdV6uBXdvjYMT4tFH52qNnM+HBI0exw1hqLi1dgLfQgptu0vY7MWApwTjjO9q6enra73wgrLgaLzRmzSs0WTo8GHrPZAs1M8feMSCRE7nYQg8SZorC6w9MlHCbrfE8bkuh8K1asUGy9/vooRMf7W23WOce9nuh5xSXqwcM8N7O17Omtc+aoJi5eTCKEmO1pIu1s8Dz44IPkApbI5O5Q2Pi7Jl1UkKdLC0d8fpXV41yVf9nEg7/8n7nH4nloYvTUU09d1hVhx/P05dhfhHVyMTRNP60IHgwqxGpqam3ZePTii3ZMikZLSfShISJbJnFAhuFHHnlEVOT70sBzfJeIJcK2biV95Kt99pbje5qbi84bOpxh4XYWnj0/4eqrY/Nyc+OET/kHNNGn+WCDU8xfujQ8Kivrp6MsmQo9z7NaW1OoXsGvNDk82URMAJJ+pLyngVuF4OEgycywXwhrcvtiaEaqetoIg6EgR5MS8ns8altL8zu6khJm3fbNoGeeeaYQ018BftgOWMDz0Xjzn/70pzT4bZ2x06Aw0CaaLgmQRA1MB/52ou1Nx7cpwW1mBO+xlpa3vmlqemRaOBQuLCg8f9eDD56P2eG23hTYT3mjC+Bm/d1hw6YPz8ggDw2Fvbml4uDVU9dfHgpdRniAFAATXiAAtwKZdOIepYmGr18IK74YOkSnv/28DD3TIfDrkWarf//x40tzjx/Ptfs9I4xRM+KCKOl7hW4otTlQYIuwx/BKKO705dJuRQ2UVS0QRhsFTstDnO+JJ55wQRHujYJK68+iqSMUDfGZGabQp//4R2zlrl1Ml57OjS8ZzA7Ybfc/+fzzr3FebyptBjlTpwB2Ghin4RntotfoY5tOgN5nsQgDKJ9bWBh84bnnLjRyfEEAM9kD9XWqI0H/1+cplYXOxkZxgMY/OgpNg2A6DS4CKhFJsoI7AMfd1hbhzlSsS7uyEL5XykiYb3Q4Nr5aW2t/MRw26goL1/76179eG3+HuJfFYhnxi1/8gu6JrDv+7NQj2WFod293ugK4loJ0tlPf6+4ahIoNOgodEI+vAWDNGcpw6ciRm3Zt3DgzRZMybCQ4bI7FMuVjh+MxQ0pKBM7LZ0wgUsKxsYOpQ8wPghOPXYyHM5aHh1QexRLtNJDwdSuEUlP5APhcIxwlbS6XstblDDSNGb3F3Nw81u3ziTqY1WoVcYGQUekoI/VslZ3rc8kJazKJQegrWRrNLaPS0k1ZSmXIhSAhVrf3DQDNBeFXDu8+EQ7aQUKsGaPZAISrqVFx1k3nXaV24x4p0YlMLacWlqJWv9Hocf8+02AIDYJvk2/LlrxLF/zf+lPzDfB16k0FhQU3nDdKGIbgJRtjwob5r7764aLHH891FBSMJ9gw2xYJEtKBTBOtdI8mSRCPXaoT9PxckuSEVd629sYGa7VlI+DLngovzX2OVvsOW6O4GBrEqId/uomAh5lBbDRGuRaj6Ywi5pTG0igU3z3lfm8u42WQRfrEeyB0vt2+9sHmqqr5O+vqFJdMupjLLCr8PjKt3wqOOWHOHFGunXjplBPoeVS2ZAmzaSWMy5GXn3nmhlEZGdlGBR9sdjo0+5ubPyCicWKbFz6bIeIYm1XFxmHwkhevJIo7NVRqwiKGTyMhb3Bq6qX5KnUMRlG+yeX6YhnEIFrIvZCW5oQNppPVGmKDiOo0rkEAd5NOUkI3GXpwO14GGWY7ZidY6MbBw1brzr31dRMvgusyQgJMe7asLPXCuXP9sTlz8Io4q+34XsfzeNkd7yXsHIVHoJHHJplMPx6BDbdaeDIccLQ6t7U2L1+O+yCu1hTsjOpYIVYM9BjAolToeD9R5+h36dJkKKeE0cLU1BmlqVqtBTHe7W4Xq/W4l1Ct1FtoII32TiMeHIM+JtCpdyn/QCUQDTn4CQ0O+zvbq6uZzeMOGSFyJn3r8mlf4ONMq1evVgPmgYKX+pDQXFCiVk8uaB+8Nrfns+U1NfV4wGGmTQHtOkmAc5AKvUK/pByrHHYpYJsrVipnDVWr8XWgiPqA01m7tqpqNTUYzwTMAIlDZLz44oua+++/X2TNaDRokG/uVUukzRxDKCNsU4st/aa6+okDWF/LHnEeKygonFkydeqHqFocGCAuIkBalqKOljTNw6AtBQ5nAIeExyKNZvporTY1k+eCDo9bU+NyfwAARGLvCsfnIBV61R4pORbNswnBw4eqNWPzFYoIbQC1ej2rNzHmj7v5YjaHPfFCFJsnThA5zXjAsVzUEugnkndSDzAW+81vf0u4ajhSX/uvHYcP8RG/P6Y2mq95f8n796z9bO20Rc8ssoCgyCUIzZGWe9GmjgUgYBBVtKygQPNQXp45V62+s0STImiiMXWNw9n0TWvzGsI//QYNGhQAToMgJlW8rYBRUqkgGWFNxoiiRgxVaX44GvLOiJY0wgB61Bt8h+7bKipEgqFZHRrtxjoXcNCWQFTYiRXrpBPEnw3UccWCFaI49IZjy2v8PrbZ2hRtTNMZLr9i8h8nTpi06qaZN+87WHn49/fee69oA5OKuOYBr8tAUHcUFIx5Ji/vb7Nisb3fE4RD83W6C4dF8IkMv4+r8Xvf+cTpdHzRtl+A0Uwb8HTCZ7tUOIHzRONVMsIqb1ueURYr+VtKlAqmjoRV9V7PgYXNjRtAUcTCT8h8jHIN7E2aeOOABNrBKlmj4/X04shv57aHx4wZM/gns2ffM/7yyYLSZFYMKi4RsvIskQxzejQrP9MybOSQh3/184dWLl+0XIuyeZqR9aKOs2aNc6pv5+T8dGQs9vUFPP+D8xWKkvM1GuN3sB9zUjjEF7XahRtDoTFLMzPTplRURIkQqWDgNB4ERKxHaqmQ0IZ3wIyCWDBk2/hhPD88F/4+EB3M6gssR55oOVh5h7ykuyAUQzQtfg+EZsR0+AThxe8P1BGdQkmZac78sLCw8Dx86SuWbbHwRrOBiB8fpREUaANx4GBBcd5VQy8e/hyJxccffxxr623fL+zrcR24D5Sm6Ijc3G8XKZX/r4SxFD10O3NKSkxjhDyANy7LzuZT0tJixRrNNRfjszPzMYDnw8eN8AZ4OgUBkVoqSEJYGFliGqZQ3DUS63iIixCr83rDR8JtYrC8zQQhGuYoI5BuF19o/8No8mOrvZsugRDqsAFL8MqgSHhCbm5umcFoGItwABFeoVRguYjx7UwV+x4pNj1CR4jT96gly/Ljhb9fOJoGC72biN9UhKaMAQvpjD2bBYSlIC4qovAotQgKxyxQ7/LyGMvPZyAwBUtNDReqVNffkJt7I20AaUeeE3BQEWJCEZJKhRMKc7zCRByX0swIEYeHMjbmfHAnE5zKtvp821/y+3eBSkipP9FAqg8Nhl55UrHELXySRzRDJAKcPpURt1QDvpk8duyAWODcFyEHv9PK5UFCoDGFWqNWTB46ZPPmxa85ESWwhkInxfCLh1AS43pRvK4AYnqFsPKAmF1ifC8xPFPbeaz9PuWNIFSTBktM3wQDqjd8Pvr6JoMjopKWmzgNNAiIQYZFZyCS9nXBN9TNMcy2teHw7QDyIwIUOIZDSZREtJhwLalUkISwiPeCgEJ/jUa/jdXhW5r9/lsRMwc6J2P4E1mz2LqTf+TYZqJLWLnV2FOYRlPkk48H7gxWbXEQAL48CgHg8bjx8zB4gbKsYFansEvUsZQCHh8ryrSkppiMWj4czkXgt86xvNoJiBOPsLCAsE6ct99riwPW9l4M4Qd0CL/U0NrCqO4QzM6kiXvxg+sqDKJRBCFAeCYyR7etGpAk4rCOOXrOhAmqxdu2IdYJWUHEb+ngEUY3pALWUCWTCpIQFuCOz7ftwMQruKafmDoq7fF7aCSFvhY7EIukatxXksiJP0+GI0Z72G63MwoS12BtYnpwCOzkYbn5uQC2XWXEUPB7AqyxqVHY8PkaLorZI0UhxEZJMZ6XGMsLREDXPFRIrkNsr7Y4X/SsPf4XvUM/EJSAe3CGZOUozwvR2gqiaQUB2XDPChNOIYgcSh6xJXi1e8S4Xvh2HEM+RbC5mYAL49cCHHdks5JKBakIK04L3Do0bkqb6BNtKvEHHY8YSaTk0igjESO6ksSNpR3zDdA5dQwR+TfNLS2XVFcdEUbm5DI/CGwvAsKBszIKIQ7RDTNdEIRnF+rhovLuurUfHjl4sDlFndLeuFjb9AwFofvxtTMmhKORQnASM+J3UeNFfkdLFRz4PWlDMMm2xfnCO/DlEYJKlT6anjayFkRFgUvSQVgaxO8i0WjBUUQgCM2LwLx2EHAdx1nfPHZMdMAgoorjuD+kgtSEJUxtt0oDN90mEBPNqiyUgXyosHbYJlO6faNfH4icVJ+auqjF0frDISla7fdGjRYM2dncchDWN+AWZmwMQVxV0r2iPvhF7dm9u+rLr7++BUHiEgsoTAg5sFkdg5OCASVDaYLZM8isiOvlw/VEvQHExTFnMCg043pnLLwEBzYPkg84pt1EmXTdH1JBasKidnSbyKoOdw2aFTohDs2UkT6CDTGo6/al/n8QW4oPMeErFDvvmDylcu7V11yYiS1V7lY714A4pQjqzSG4CTwFVLFwJKxE0A12+NDhn4Go+O985zsqcLSO4qcT9FOw/6/LlQVxWHUeW3PBtF6x2TyK3NzfOhWKxZWIvUBsFLuF+D0IbxkDYQ82W1iuLo1Vetx8UzQqXJNTdP2QzJwlP9u9u/WZYNAd0mhEHPeHVBhQwopjGWyaQlGJOhXMDArYsNz0DARHCieEw8CleTA30KdNvjtuwn13XnrFhdj5gqBZLv799eXcOxsqWF5uPtMhcAjoi3c4HV6rzXovwi99RsZRDBpx7bM76GmPJQ2sHiaRjuoaGl6B6WMslNK7EXqJ+fDDJjKhEZOdA5EoX4QZojozm7dbGwVdSuq00gzjxiUTNdesLS21Dtm/fzDV1R9SISkIi2R/hxkLaCxGnJ1hNNOwHTDCgj1O8RjsRxMLCi68ecyYhZcUFcUU4BNfYuPCcx99cKzB7fLi45i58N48BmtVeaO18VX46O9pJ6oEy0ERD1QmjzrvKSgo2OgQhJ/v5LgLdFAfbIEAt8PnFUqhmk0sLGSrmxo5fBgrclXRoBEg/rUT16//ScuwYSoBBP+41Yp9FrykUkHU96gTBzJh+cYHwlIRDHAJVuGcFOaBTtzSefPAD5j+5lGlS24YPkJNO0Jrao6zx5Yu8e6pOjKl2Wod3epwDMUG2/FHqo88QEQFhzspv7RKg4yIi8Nm03ca6+snYNZzgYPjLnJFIndtdzm5w9CvDND5CrOy2Yf1dcovW+1hn1I5fJjLs9xXXZ1NflvaSIT2CJyQClIgekAJCwQkciMKAgK5L3IpcCsTGjrgnBT2HyV1wn0TJ71y2/CRQ/ARgWgAn8V7euVyfs3ePb/DiD8K+HmscdqpY4igcOBh9+pWp6J8CUqEN3HwQSfd0VRb+3UkGHz5gNO1Zw8i5NRjpWPm2HExmCMCH1RXqzY2N4dagkGT7tCR33x2110TVuel2oBgGMlOSIUEgXWymAElrJNgiGdxqzBt5xI765Tn/XZJehUZFWcOG3ZvWUnJjCE6bQReA+zNjV8qX9u0cRPEyUIMAOpYkXsQYO0ERdf9lYiASVWgPiSPCuYKBv6w1Wbjqvy+aH5uLvfijTe9vstm3bmqukq9qbEh5AiFCnidvnx2ne/WoE7nILEoFbCSFdwbgMGtwkAMsWdCFHT3iDiaelNGovLG9apJFsvl1+fkPXOR0RjBlyz49Qf2c4+XfxH0hUJ38m2xp4hrxH+Jqr635VD9RMziTnIcP6lsttXvdbQqGmGAvWL02ClTR4y4bXt97dbPDh1U72qoD9sjkTRlIPzX6i+/PJ84cl5ensj5elvx2fInBWGRMRQcwAFgYesTDNC5Bgouvl2vyrwpK3vJ9MwstSoc4Y/Dkv7Ivyr4WpdrHmYZewEjier+5E5n60cakeRR4rZ5PM9ta2jgj/m8IVW6fuRLd86dBNvqJQeamip21BxXbTl2NHS4qSk2adCQhdveWnYV+cPR7qizVdDb5wPVgafBCY6leOmll1QwPZCOTEsQ/Z4gAnkaxfcWFr4xMysr34iFAIQAYo9v3aLYUF+/WxSBbe7H/aFH9bb9oB+R47+9s7bWvc9mVTlgsAmp1A/NKyvjS0tLr3MGAts+3bpFve1oVcQTjaRHVIpVy195Y67oCDivbeWjt5V2lz9pCAt6lRYLrIgVoqD11VYCuEvjYXct6eP9eZgwLIBp4TaT6eHbDcbpJQplGHqV8MbB/dHXjxwRsB9yDhFdezUkgpIt0Soz9WdTvaN18baaGv6YyxXOyssfdfGky6/fvWu3dx50wwanY/cX27apdxw8GKqyNir1FsvL5SvWjOQWnFxWS0TDBpyw0FgRBnApOxpEXg5Ye42QrtVvifSqBdDtLktLm3yjVvv4RJUqygJ+xT9ra5WPHTpEkdWeaI5E4KovzsSSkVvFcQU0io6FL2+vOhI50NTIB+C9m5Wfcy+cERniHDl+85vf3OgPBd9dv32r+ouvNyO+fgML0bJ/gtOAE1a8PVDgaVMF6S5wikyJc4b4Y8mO4FQUKZk4UOZNCsXb07GbCJ+Pi1XZ7fw7DXV/sAYDN2K9+FEARLhKZqIiHMW51uFaa9OyHdVVyuMOZ9iUkzdl3Zt/n3jcavVh80rggw8+eMofDi5Z+6/1mzdt2zL72muv3Yd3yUidMLwnDWFBBKrRMCzaCxTY3ktYwlFykTMf9YBbxX6nUr1RplAUZESiIURhUS1vbl76enPzQ9Bql4OaiIMmDOkoS9IEvDH4IT+3df9+drihnvEIG2UqLLjLG/QK8CPL3rVrl6F8XfkD1ceqL1786uI324FJaPuShrCADBeIijZ+BuGGcsY1tkT1ColAUExsEsf9Lk8QphdFIkHB59V80mo/8jub9X+X4vm4tk8IS07giWoTyon+VvTCYdura4+v++bwIVVNqz2aasm8fVLpBaPgU0aG6Mz33nuPvrjKQRWRxBgtSaHngiQo7x68R5sq1GeLiXUu5Z/6DolAcKroRWr1MFT66DMgaBtcXr6F8D/vRaO32xlzLQNhbZMg8OupsCT6Gu0isYZgfv6ntu3eOXX0+AtiutqaVHha3CFohDUw50TgPepqlwji4n+iYUgajoU1QsQGEXLx02PzquS6DJBPXIhLCYUaME3fYYT1eiUClrwdDt+3IhLZAsJTgrAkhyPRHdpeHu3LpL4tz8nN3Qd3HlVDYwN5v04yphpzMHgD8CKRVCokDWFh9BCL1pFIhNmBTA5SJ1G8VVCI6lhsGhSMp+CG8sDiWOzl+CxRagCkLB9LTBzKD133neseRtgG2gUN12Tl8yCqVOA4FQHuxPZLBQNVPqCJ5DwSbI/zCuDgNxHnvocffnjNQAEFTkUiMqGK7EC1BfVS/wqI514CKeABcYVAWFNx1OL3yS9/+UtxkiQFfEmjY0Hmx2C/ygRhNUvR0LOUyU1us1HRDFESneMs9Uv1GONWHLjVVAEIbBBEJCJ1CpJLhaQRhSCqMBqchYbH1636k5sKFSAo+knVwwNVLkkDWgskAgPXCuBah4kSuYRLypUHnLCo4YR0KJMuNNiLn4OuIRr7k7Coyv/YRGuBhGfg2EGNBJFp2xsrGY4HnLDaG0h+2JicCbSTRLLGxuv6bz0SjiEZ0sC5JO93ySvoaSfOmTMnivjultbW1vho6umrcr4eYmD48OECbIQaCnlOr0gpFZKFsOhDRzSaPDR76SGe5Gy9wwA3derUCKQCqRxxPbZ3JfQid7IQFsl9Whuk6bDo+96LNshZe4EB+OiTDUvVi1fOKWuymBtIryI2nU7TYbBoIngKXHZOjerLS4n2AcNgIXDECUpf4Gp/V8TTOZYjvguJQIQlqdWd4EsKwop/ABP6laDRaMLtU2FJp8PddQ7q7u5RMtw/VwLl2nFMrt8OfABLjOcgZYOSgrDiDURgjaNms3k0PnmixMhSQRcgRJ4GI3QxeoWCh3iBKFERjZdxLkeUI9BaJd4N4dzRmzLAkWJ4t8sOR3soKrQLxt8un3dVD+ma9OvqGcTYOX90Kr4tDYM3Bng0XZWfyHundVoiC+9pWfFGX3HFFe8CeYh7IepbZHog+IzU8dC9RJlCZQLxYtGUrzcJ71GZlrYiRKI9UQ5W/ClkJYoUsnpSJvLShIPyG/Guik5OfQ95yIxC4QNOfdTtNdopyUenqEIKDbVjx44RgGdLtwAk6MGJzkpQeXIxfcSAFB+dwgDQEVcFB+WwOdiPXVG2PoJ51teTjbBIB+gENJTpZIOxE3zQyQhg+hGcnYHvlPO/6yKpO+2/qys6tTYRRBov47TBSss7nWqTL2QMyBiQMSBjQMaAjAEZAzIGZAzIGJAxIGNAxoCMARkDMgZkDMgYkDEgY0DGgIwBGQMyBmQMyBiQMSBjQMaAjAEZAzIGZAzIGJAxIGNAxoCMARkDMgZkDMgYkDEgY0DGgIwBGQMyBmQMyBiQMSBjQMaAjAEZA33AwP8HsgN7a2/a2OUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGBA size=150x150>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from scm.base import ChemicalSystem\n",
    "from scm.plams import view\n",
    "\n",
    "bulk = ChemicalSystem(\n",
    "    \"\"\"\n",
    "System\n",
    "    Atoms\n",
    "        Zn       1.64483022629693       0.94964317652279       0.00064920490187\n",
    "        Zn       1.64483022629108      -0.94964317650531       2.68804611338770\n",
    "        O        1.64483022629670       0.94964317652865       2.01489847647198\n",
    "        O        1.64483022629084      -0.94964317649945       4.70229538495781\n",
    "    End\n",
    "    Lattice\n",
    "               1.64483022628585      -2.84892951942711      -0.00000000000866\n",
    "               1.64483022630247       2.84892951943670       0.00000000000826\n",
    "              -0.00000000000063       0.00000000001572       5.37479381698294\n",
    "    End\n",
    "End\n",
    "\"\"\"\n",
    ")\n",
    "\n",
    "view(bulk, width=150, height=150, direction=\"tilt_x\", guess_bonds=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66641061-776e-4e28-85b4-dd93d292c929",
   "metadata": {},
   "source": [
    "## Lattice optimization with ReaxFF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f3b95792-fef0-4c92-8f1e-62f6da388a74",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10.04|12:54:51] JOB bulk_opt STARTED\n",
      "[10.04|12:54:51] JOB bulk_opt RUNNING\n",
      "[10.04|12:54:51] JOB bulk_opt FINISHED\n",
      "[10.04|12:54:51] JOB bulk_opt SUCCESSFUL\n"
     ]
    }
   ],
   "source": [
    "import scm.plams as plams\n",
    "\n",
    "engine_s = plams.Settings()\n",
    "engine_s.input.ReaxFF.ForceField = \"ZnOH.ff\"\n",
    "engine_s.runscript.nproc = 1\n",
    "\n",
    "s = plams.Settings()\n",
    "s.input.ams.Task = \"GeometryOptimization\"\n",
    "s.input.ams.GeometryOptimization.OptimizeLattice = \"Yes\"\n",
    "s.input.ams.GeometryOptimization.Convergence.Quality = \"Good\"\n",
    "s += engine_s.copy()\n",
    "\n",
    "job = plams.AMSJob(settings=s, molecule=bulk, name=\"bulk_opt\")\n",
    "job.run();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f6e919ee-d999-47c9-9bc0-754e61fea73e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lengths (ang.):  [3.28000889 3.28000889 5.31353255]\n",
      "Angles (deg.):  [ 90.  90. 120.]\n"
     ]
    }
   ],
   "source": [
    "optimized_bulk = job.results.get_main_system()\n",
    "optimized_bulk.symmetrize_cell()\n",
    "print(\"Lengths (ang.): \", optimized_bulk.lattice.get_lengths())\n",
    "print(\"Angles (deg.): \", optimized_bulk.lattice.get_angles(unit=\"degree\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e0ede7a-7441-43ce-936c-5244ef268c1a",
   "metadata": {},
   "source": [
    "## Create slabs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "16f3074a-1b38-46ea-9e71-9dd53f1cfe48",
   "metadata": {},
   "outputs": [],
   "source": [
    "num_layers_list = [6, 8, 10, 12, 14]\n",
    "miller = (1, 0, -1, 0)\n",
    "\n",
    "slabs = [optimized_bulk.make_slab_layers(miller=miller, num_layers=x) for x in num_layers_list]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6cf30e10-1aec-4dac-9fa5-76dd27a94fc3",
   "metadata": {},
   "source": [
    "The thinnest slab (shown horizontally):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7af20129-073d-40df-89fc-32939c0e532b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGBA size=800x400>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "view(slabs[0], direction=\"tilt_x\", guess_bonds=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e0e7f04-d60a-4c75-85d8-ee77b73a2726",
   "metadata": {},
   "source": [
    "The thickest slab:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bae85d88-ac19-419c-a704-c1eb387532a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGBA size=800x400>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "view(slabs[-1], direction=\"tilt_x\", guess_bonds=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f5b9532-2d36-4f08-879d-bb79f5f47f2e",
   "metadata": {},
   "source": [
    "## Run slab geometry optimizations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ab459502-5293-4eac-b709-ea077de02285",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10.04|12:54:53] JOB 6layers_10-10 STARTED\n",
      "[10.04|12:54:53] JOB 6layers_10-10 RUNNING\n",
      "[10.04|12:54:54] JOB 6layers_10-10 FINISHED\n",
      "[10.04|12:54:54] JOB 6layers_10-10 SUCCESSFUL\n",
      "[10.04|12:54:54] JOB 8layers_10-10 STARTED\n",
      "[10.04|12:54:54] JOB 8layers_10-10 RUNNING\n",
      "[10.04|12:54:54] JOB 8layers_10-10 FINISHED\n",
      "[10.04|12:54:54] JOB 8layers_10-10 SUCCESSFUL\n",
      "[10.04|12:54:54] JOB 10layers_10-10 STARTED\n",
      "[10.04|12:54:54] JOB 10layers_10-10 RUNNING\n",
      "[10.04|12:54:54] JOB 10layers_10-10 FINISHED\n",
      "[10.04|12:54:54] JOB 10layers_10-10 SUCCESSFUL\n",
      "[10.04|12:54:54] JOB 12layers_10-10 STARTED\n",
      "[10.04|12:54:54] JOB 12layers_10-10 RUNNING\n",
      "[10.04|12:54:54] JOB 12layers_10-10 FINISHED\n",
      "[10.04|12:54:54] JOB 12layers_10-10 SUCCESSFUL\n",
      "[10.04|12:54:54] JOB 14layers_10-10 STARTED\n",
      "[10.04|12:54:54] JOB 14layers_10-10 RUNNING\n",
      "[10.04|12:54:54] JOB 14layers_10-10 FINISHED\n",
      "[10.04|12:54:54] JOB 14layers_10-10 SUCCESSFUL\n"
     ]
    }
   ],
   "source": [
    "from scm.plams import AMSJob\n",
    "\n",
    "ss = plams.Settings()\n",
    "ss.input.ams.Task = \"GeometryOptimization\"\n",
    "ss += engine_s.copy()\n",
    "\n",
    "slab_jobs = []\n",
    "\n",
    "for num_layers, slab in zip(num_layers_list, slabs):\n",
    "    millerstring = \"\".join(str(x) for x in miller)\n",
    "    name = f\"{num_layers}layers_{millerstring}\"\n",
    "    job = AMSJob(settings=ss.copy(), molecule=slab, name=name)\n",
    "    slab_jobs.append(job)\n",
    "\n",
    "for job in slab_jobs:\n",
    "    job.run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c4b3830b-b56a-4d11-9a55-820696cb1502",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "def getresults(job):\n",
    "    main_sys = job.results.get_main_system()\n",
    "    n_atoms = len(main_sys)\n",
    "    energy = job.results.get_energy(unit=\"hartree\")\n",
    "    vecs = main_sys.lattice.vectors\n",
    "    area = np.linalg.norm(np.cross(vecs[0], vecs[1]))\n",
    "    return n_atoms, energy, area\n",
    "\n",
    "\n",
    "data = sorted(getresults(job) for job in slab_jobs)  # sorts on number of atoms\n",
    "\n",
    "x, y, areas = zip(*data)  # x = number of atoms, y = energy\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y, \".\")\n",
    "ax.set_xlim(0, max(x) + 1)\n",
    "ax.set_ylabel(\"Energy (hartree)\")\n",
    "ax.set_xlabel(\"Number of atoms\")\n",
    "ax;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca10c37b-351f-49d9-ad23-d272f7c8daf1",
   "metadata": {},
   "source": [
    "We need to fit a straight line through the points and see where it intercepts 0 on the x axis."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47ebd1ec-5ff0-49a5-81ea-72c7b3530936",
   "metadata": {},
   "source": [
    "## Fit a straight line and extrapolate to 0 atoms (pure \"surface\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bb57b7d0-34c2-42c3-80e4-4c1388fe0815",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import linregress\n",
    "from scm.base import Units\n",
    "\n",
    "\n",
    "k = 3  # use the last k points\n",
    "surfacearea = areas[-1]  # all should be identical; just use the last number\n",
    "result = linregress(x[-k:], y[-k:])\n",
    "\n",
    "lineminx, lineminy = 0, result.intercept\n",
    "linemaxx, linemaxy = max(x), result.slope * max(x) + result.intercept\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y, \".\")\n",
    "ax.plot([lineminx, linemaxx], [lineminy, linemaxy], \"--\")\n",
    "ax.set_xlim(0, max(x) + 1)\n",
    "ax.set_ylabel(\"Energy (hartree)\")\n",
    "ax.set_xlabel(\"Number of atoms\")\n",
    "ax;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fff88ee6-ee6f-440c-9824-257901564462",
   "metadata": {},
   "source": [
    "## Extract surface energy from y-axis intercept"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9479a9e2-e392-46ef-8529-586fcd430aed",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intercept = 0.100491 hartree\n",
      "Surface energy: 1.257 J/m^2\n"
     ]
    }
   ],
   "source": [
    "hartree2J = Units.conversion_factor(\"hartree\", \"J\")\n",
    "angstrom2m = Units.conversion_factor(\"angstrom\", \"m\")\n",
    "conversion = hartree2J / angstrom2m**2\n",
    "Esurf = conversion * result.intercept / (2 * surfacearea)\n",
    "\n",
    "print(f\"Intercept = {result.intercept:.6f} hartree\")\n",
    "print(f\"Surface energy: {Esurf:.3f} J/m^2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "017f114f-84e3-47a1-902d-51f7b86545fe",
   "metadata": {},
   "source": [
    "## Final notes on surface energy"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2627491d-f91c-4026-918e-e5e8ce7372fb",
   "metadata": {},
   "source": [
    "* In the calculation of the surface energy, we never used the energy of the bulk! This is best practice.\n",
    "\n",
    "* The surface energy is expressed in J/m^2; the area of the unit cell will depend strongly on the optimized the lattice parameters."
   ]
  }
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