Commit 8b0e9435 authored by Yury Lysogorski's avatar Yury Lysogorski
Browse files

Query Cu-fcc surface energies from atomsitictools.org

parent 5b047da9
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# [**Workflows for atomistic simulations**](http://potentials.rub.de/)
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## **Day 3 - Validation of various potentials**
### **Exercise 1: Validation of generated potentials using pyiron based workflows**
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The aim of this exercise is to make you familiar with:
* Potential validation workflows
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## **Importing the modules and creating the project**
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``` python
import numpy as np
%matplotlib inline
import matplotlib.pylab as plt
import pandas as pd
```
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``` python
from pyiron import Project
```
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``` python
pr = Project("validation")
```
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``` python
# Potentials from fit the previous day
potential_list = ['df1_cut5_pyace', 'EAM', 'RuNNer-Cu']
# Typical EAM and well fit potentials
potential_list = ['2012--Mendelev-M-I--Cu--LAMMPS--ipr1', '2004--Zhou-X-W--Cu-Ag-Au--LAMMPS--ipr2',
'Cu-ace', 'Cu-runner-df4', 'Cu-atomicrex-df1-107-25'] #, 'Cu-runner-df1', 'Cu-atomicrex-df1-0-13']
```
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``` python
# Function to return appropriate potentials generated yesterday
def get_pyiron_potential(potential):
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# to returns potentials already in DB
else:
return potential
```
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## **Step 1: Get the equilibrium Cu lattice constant determined by the potentials**
First we compute energy-volume curves to get the equilibrium lattice constants determined by each potential
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``` python
# Necessary to remove wierd characters in the potential name
def clean_project_name(name):
return name.replace("-", "_")
```
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``` python
for pot in potential_list:
group_name = clean_project_name(pot)
pr_pot = pr.create_group(pot)
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%%%% Output: display_data
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VAAEltJY2J0rQGJkr6H6H719fM7I1o2bnAHdGym4HzcpHJCROgf3+47LL4vIcfhjFjSlzFOVdNzZo1i86dOzNgwAC6devGSSedxKpVqxg/fjy77747Xbt25eyzz2bNmjXF1nv00UcZNGjQL9MPP/wwl19+ObNmzaJLly6ce+657LLLLhx22GH8/PPPAEyePJlf/epXdOvWjeOPP57FixcD4a5n0KBB9OrViy5dujBp0iROOOEEdtxxR6699tpf9hG7+1ixYgV9+vRhjz32oGvXrrz8cnIBUZblu8vIyhz23HNPy9Tbb5u1bBn+rlljtu22ZqHQy6xRozDfOVc5Pvvss1/GY5/DXAylmTlzpgE2ceJEMzM766yzbOjQodauXTv74osvzMzs9NNPtzvvvNPMzA488ECbNGmSrVixwjp27Ghr1641M7N99tnHpkyZYjNnzrTatWvbJ598YmZmJ598sj355JNmZta1a1d75513zMzsuuuus4EDB/6yzcGDB5uZ2d///ndr06aNzZs3z1avXm1bb721LVy40MzMGjVqZGZm69ats6VLl5qZ2YIFC2z77be3jRs3FktT2rmOn3OKLIPvWH9TPoXkqsH16sE118SX164dHtSXt+0v51zV1L59e/bbbz8ATjvtNMaPH892223HTjvtBMCAAQP417/+VWydRo0acfDBBzN69GimT5/OunXr6Nq1KwDbbbcd3bt3B2DPPfdk1qxZLF26lCVLlnDggQem3Gbfvn0B6Nq1K7vssgtt2rShfv36dOzYkTlz5hTbt5lx9dVX061bNw455BC+++47fvjhh+yfmIgHlCQlvWdy5pkQa/l+2TI47riKNSjpnKt6ylut9pxzzuHxxx9n+PDhnHXWWb/Mr1+//i/jtWvXZv369Wm3FVunVq1axdavVavWJuuPHDmSBQsW8NFHHzF58mRat26d09YGPKAkKO2lxbp1IaGIkhdfhOHDPag4V9lyWeiVzrfffsv7778PwNNPP80hhxzCrFmz+OqrrwB48sknf7mzSLT33nszZ84cnnrqKX7zm9+Uuo/NN9+c5s2b895775W6zUwsXbqULbfckrp16zJhwgRmz86oFfpy84ASyeQN+DPOCLW+ABYtgo8/rnjT9865qqNLly6MGDGCbt26sWjRIgYNGsTw4cM5+eST6dq1K7Vq1eKCCzZpRQqAU045hf3224/mzZun3c+IESO44oor6NatG5MnT+b6668vV3779+9PUVERPXr0YOTIkXTu3Llc28lYJg9aqstQ0kP5xAfw6YwYEf89s/nmZosWlW1951zZpXpQXNlmzpxpu+yyS7nXP/roo23cuHFZzFFu+EP5Cihr21z9+0OnTmF86VK4447sdNLlnKuelixZwk477UTDhg3p06dPvrOTUzU+oEyaVLbmVGrXhhtuiE/fdRcsXBgPKpMm5SSbzrk869ChA1OnTk2fMEmzZs348ssvee6553KQq8JS4wPK4MFlb5vrlFNg113D+IoVoZ0vCNsZPDi7+XPOBZbJU3NXIRU9xzU+oJRHrVpw443x6fvug3lZbUDfOZeoQYMG/PTTTx5Ucsgs9IfSoEGDcm8jb83XV3XHHw977gkffQQ//ww33RQCi3Mu+9q1a8fcuXMpa4vhrmxiPTaWV156bMyXTHtszNQbb8CRR4bxunXhiy8gqaMz55yr8gq6x8bq4vDD4YADwvi6dcWLwZxzrqbxgFIBUijqinnySfj88/zlxznn8skDSgUdcAAccUQY37gRrrsuv/lxzrl88YCSBX/5S3z8+ef9XRTnXM3kASUL9twTTjopPn311fnLi3PO5YsHlCz5y1/CW/QA48aFwTnnahIPKFnSqRMkdHPAVVdl1hy2c85VFx5QsuhPf4LYS6ZFReF5inPO1RQeULKoXTu45JL49DXXQAYdsDnnXLXgASXLhgyBzTcP419+CY8+mt/8OOdcZclLQJE0VNIUSZMljZXUtoR0zSSNkjRd0ueS9onmbyHpLUkzor/pu0CrJFtsAVdeGZ++4QZYuTJv2XHOuUqTrzuU282sm5l1B0YDJfVveRfwhpl1BnYDYu+hDwHGm9mOwPhoumAMHAhtoxA5fz7ceWd+8+Occ5UhLwHFzJYlTDYCNqkPJakp0At4NFpnrZktiRb3A0ZE4yOA43KV1/LYbLPi7XoNGwbeSKpzrrrL2zMUSTdJmgP0J/UdSkdgATBc0ieSHpHUKFrW2sy+B4j+blnKfs6TVCSpqDKbvj7zTOjSJYwvX178bXrnnKuOchZQJI2TNDXF0A/AzK4xs/bASODiFJuoA+wBPGBmuwMrKUfRlpk9ZGY9zKxHq1atKnBEZVOnDtxyS3z6gQfg668rbffOOVfpchZQzOwQM9s1xfByUtKngBNTbGIuMNfM/htNjyIEGIAfJLUBiP7+mItjqKi+fWH//cP4unXhZUfnnKuu8lXLa8eEyb7A9OQ0ZjYfmCOpUzSrD/BZNP4KMCAaHwAkB6mCIMFf/xqffu45eP/9/OXHOedyKV/PUG6Nir+mAIcBAwEktZU0JiHdJcDIKF134ObY+sChkmYAh0bTBWnvveGUU+LTf/yjN8ninKuevAvgSvDNN9C5cyj2Ahg1Ck5MVcjnnHMFyLsALiAdO8LFCdUOhgyBtWvzlx/nnMsFDyiV5NproVmzMP7VV3D//XnNjnPOZZ0HlEqyxRbFuwf+859h0aL85cc557LNA0oluugi2H77ML54MQwdmt/8OOdcNnlAqUT164dmWGLuvTe0SOycc9WBB5RKdvzxcMABYXz9+uItEzvnXFXmAaWSSfC3v8WnX3oJ3n47b9lxzrms8YCSBz16wOmnx6cHDYING/KXH+ecywYPKHlyyy2hmXuAKVPgkUfymx/nnKsoDyh5svXW4QXHmGuvhSVL8pYd55yrMA8oefTHP8I224TxhQu9GrFzrmrzgJJHDRsWr0Z8993wxRf5y49zzlWEB5Q8GjYMWrWK95myfj1cdln5WiOeMKF4cHLOucrmASWPevaEX/8aTjstVCcGeOMNeO21sm1nwoTQRH7PntnPo3POZcoDSh717g3PPhseyB99dHz+ZZfBmjWZbSMWTJ59NmzPOefyxQNKnsWCyvvvQ6NGYd7XX8Pf/55+XQ8mzrlC4gGlAPTuHboHTjR0KHz3XcnreDBxzhUaDygFonfv0AxL7dpheuVKuOKK1Gk9mDjnCpEHlAJyyCFw++3x6aefhnfeKZ7Gg4lzrlB5QCkwgwYVDxQXXxzvi96DiXOukOUloEgaKmmKpMmSxkpqW0K6ZpJGSZou6XNJ+0Tzb4/mTZH0oqRmlXoAOfbEE9CgQRifNg3uu8+DiXOu8OXrDuV2M+tmZt2B0cD1JaS7C3jDzDoDuwGfR/PfAnY1s27Al8BVOc5vpWrXDm68MT595ZVw0kkeTJxzhS0vAcXMliVMNgI2eTdcUlOgF/BotM5aM1sSjY81s/VR0g+AdjnNcB5cdhl07hzG166Ftm09mDjnClvenqFIuknSHKA/qe9QOgILgOGSPpH0iKRGKdKdDbxeyn7Ok1QkqWjBggVZyXtlqFcPzjknPj11avGOuZxzrtDkLKBIGidpaoqhH4CZXWNm7YGRwMUpNlEH2AN4wMx2B1YCQxITSLoGWB9tIyUze8jMephZj1atWmXp6HJvwgS49dbidyWDB8PYsfnLk3POlaZOrjZsZodkmPQp4DXgT0nz5wJzzey/0fQoEgKKpAHAMUAfs/I0p1i4Eh/Ad+oUir6WLw+9Op5wArz6qhd/OecKT75qee2YMNkXmJ6cxszmA3MkdYpm9QE+i9Y/ArgS6Gtmq3Kc3UqVXJurbdvi/aSsWxce0E+YkL88OudcKvl6hnJrVPw1BTgMGAggqa2kMQnpLgFGRum6AzdH8+8FmgBvRVWPH6y8rOdOSVWDL7oIuncP42vXwk47hXQeVJxzhUTVrLSoVD169LCioqJ8ZyOldO+ZfPAB7LtvvK+UG26Ae+/1qsTOudyT9JGZ9UiXzt+ULwCZvLT4q1/B+efHpx96CIYP9zsV51zh8ICSZ2V5A/6WW6B16zA+bx689VZYz4OKc64QeEDJo7I2p9KsGdx5Z3z6nnugcWMPKs65wuABJY8mTSr7M5BTT4XDDgvjZnDeeaFP+mefDdtzzrl88YfyVdDXX8Ouu8Lq1WF62LCS+05xzrmK8ofy1dj224daXjF/+hN8803esuOcc4AHlCrr8stht93C+M8/hxpgNehm0zlXgDygVFF168Ijj0Ct6D84bhw8+WR+8+Scq9k8oFRhPXrAwIHx6UGD4Icf8pcf51zNVmpAkbSPpPuinhEXSPpW0hhJF0navLIy6Uo2dCh06BDGFy2CSy7Ja3acczVYiQFF0uvAOcCbwBFAG2Bn4FqgAfCypL6VkUlXskaNwlvzMc89By++mL/8OOdqrhKrDUtqaWYLS105gzSFpLpUG07l7LNDUywAW20Fn30GzZvnN0/OueohG9WGb5C0b2krV6VgUt3dcUcIJADz58Mf/pDf/Djnap7SAsoM4A5JsyTdJql7JeXJlUPz5nD//fHp4cPhjTfylx/nXM1TYkAxs7vMbB/gQGARoW/3zyVdL2mnSsuhy9jxx4c2vWLOPReWLs1ffpxzNUvaasNmNtvMbov6df8tcDzwec5z5srl3nuhZcswPncu/PGP+c2Pc67mSBtQJNWVdKykkcDrwJfAiTnPmSuXVq2KF3098giMHZu//Djnao7Sqg0fKukxYC5wHjAG2N7Mfm1mL1VS/lw5nHwynJgQ8n/3Oy/6cs7lXml3KFcD7wNdzOxYMxtpZisrKV+ugu67D1q0CONz54a36J1zLpdKeyjf28weNrNFkvaXdBaApFaStqu8LLryaN0aHnggPj18OIwenb/8OOeqv0yeofwJuBK4KppVF/hnRXYqaWjUnMtkSWMltS0hXTNJoyRNj2qY7ZO0/I+STFLLiuSnujr55NAhV8y558JPP+UvP8656i2TxiGPB/oCKwHMbB7QpIL7vd3MuplZd2A0cH0J6e4C3jCzzsBuJNQuk9QeOBT4toJ5qdbuvbf4C48XXZTf/Djnqq9MAspaC+2zGICkRhXdqZktS5hsFNt2IklNgV7Ao9E6a81sSUKSO4HBqdZ1cS1awMMPx6efeQaefjp/+XHOVV+ZBJRnJf0DaCbpXGAc8HCaddKSdJOkOUB/Ut+hdAQWEF6o/ETSI7FgFjVK+Z2Z/S+D/ZwnqUhS0YIFCyqa7SrpmGNCTa+Y3/8+PKh3zrlsyqhPeUmHAocBAt40s7cyWGccsFWKRdeY2csJ6a4CGpjZn5LW7wF8AOxnZv+VdBewDLgFmAAcZmZLJc0CemTSrlh1bhwyneXLQw+PM2eG6T59wvsptbxHHOdcGpk2Dllaa8OyNNEmkzRpMyBtC7xmZrsmzd8K+MDMOkTTBwBDomE8sCpK2g6YB+xlZvNL21dNDigAEydCr17xroLvugsuvTS/eXLOFb5stDY8QdIlkrZJ2nA9SQdLGgEMKGfmdkyY7AtMT04TBYc5kjpFs/oAn5nZp2a2pZl1iILNXGCPdMHEwf77w+DB8enBg2HatPzlxzlXvZQWUI4ANgBPS5on6TNJMwmtEP8GuNPMHi/nfm+VNFXSFEJR2kAASW0ljUlIdwkwMkrXHbi5nPtzkRtvDEVfAGvWwG9/G/4651xFZfoMpS7QEvg5qaZVlVLTi7xipk0L/dGvXh2mL7889KfinHOpZKPI6xdmts7Mvq/KwcTFvfYanHdefPpvf4O30lazSG3CBBg2LDv5cs5VbV7Hpwbq2ROeegr23js+74wzoKy1qidMCP2v9OyZ3fw556omDyg1UO/e8OyzMGMGNGsW5s2fD2edFa8Blk4smDz7bNiec85l0pbXxZKaV0ZmXOXp3RtGjYKNG+PzXnsN7rkn/boeTJxzqWRyh7IVMEnSs5KOkKRcZ8pVjt694aWXoGHD+LwrroDJk0tex4OJc64kmXQBfC2wI6FNrTOBGZJulrR9jvPmKkHv3vDii1CnTpheuza0ULxixaZpPZg450qTaS0vA+ZHw3qgOTBKktfvqQYOPxwefTQ+/cUXcPHFxdN4MHHOpZPJM5RLJX0EDAP+DXQ1swuBPfG+5auNM86AIUPi0yNGhAE8mDjnMlMngzQtgRPMbHbiTDPbKOmY3GTL5cMtt8DHH4dGIyG0SmwWnqt4MHHOpZP2TXlJW6SYvdzM1uUmS7njb8qnt2IF7LwzzJkTpmvXhldfhSOPzG++nHP5k8035T8m9EvyJaEdrwXATEkfS9qzYtl0haZx41B9uHbtML1hQ7g7cc65dDIJKG8AR5lZSzNrARwJPAv8Hrg/l5lz+bFwYfGqxI8/DsOH5y07zrkqIpOA0sPM3oxNmNlYoJeZfQDUz1nOXF7EHsC//DKcfnp8/vnnw5Qp+cuXc67wZRJQFkm6UtK20TAYWCypNrAx3cqu6kiszXXwwfDAA7DLLmHZunVw1FGwbFl+8+icK1yZBJTfEnpFfCka2kfzagOn5CpjrnKlqhrcqBE891z4C/Ddd3D00Zm39+Wcq1lKDSjRXcjfzewSM9s9Gi4xswVmttbMvqqkfLocKu09ky5d4JFH4tMTJ8IFF1Ru/pxzVUOpAcXMNgCtJNWrpPy4SpbJS4unngoDB8anH3rIO+Ryzm0qkxcbZwH/lvQKsDI208z+lqtMucpRljfgb78diorg3/8O01dcAe3awa9/nft8OueqhkyeocwDRkdpmyQMrgora3MqdeuG5ylbbRWmzeC00+CNN3KbT+dc1ZH2DsXMbgSQ1MjMVqZL7wpfedvmatMmXgNs/fowHHccjBkT5jnnarZMGofcR9JnwOfR9G6SKvRCo6ShkqZImixprKS2JaRrJmmUpOmSPpe0T8KySyR9IWmat3pcNpMmlb9trgMOgL//PT69Zg3cfXfWsuacq8Iyacvrv8BJwCtmtns0b6qZ7VrunUpNzWxZNH4psLOZbVJ3SNII4D0zeySqGLCZmS2R1Bu4BjjazNZI2tLMfky3X2/LKzvM4He/i789X6cOjBsHBx6Y33w553Ijm215YWZzkmZtKFeu4ttLfD2uEbBJVJPUFOhF6NiLqJrykmjxhcCtZrYmWpY2mLjskeD++6FnzzC9fj2ceCLMnJnffDnn8iuTgDJH0r6ASaon6Y9ExV8VIekmSXOA/sD1KZJ0JDREOVzSJ5IekRS9YsdOwAGS/ivpXUk9S9nPeZKKJBUtWLCgotl2kQYN4IUXoHXrMP3TT9CvX+qeHp1zNUMmAeUC4CJga2Au0D2aLpWkcZKmphj6AZjZNWbWHhgJXJxiE3WAPYAHoqK2lcCQhGXNgV8BVwDPltTXvZk9ZGY9zKxHq1atMjhcl6l27UL3wfWit5Q+/TR01LXRG+RxrkbKpE/5hWbW38xam9mWZnaamf2UwXqHmNmuKYaXk5I+ReqeH+cCc83sv9H0KEKAiS17wYIPCW2KtUyXJ5d9++wTXnSMefFFuO66/OXHOZc/mdTyaiXpakkPSXosNlRkp5J2TJjsC0xPTmNm8wnFbZ2iWX2Az6Lxl4CDo23tBNQDFlYkT678BgyAyy+PT998Mzz5ZP7y45zLj0zelH8ZeA8YRwUfxie4NQoUG4HZhGI1ourDj5jZUVG6S4CRUQ2vb4CzovmPAY9JmgqsBQZYuupqLqeGDYPp08M7KQDnnAMdO8J+++U3X865ypNJteHJZta9crKTW15tOLeWLQsBZOrUMN2yJXz4IWy3XX7z5ZyrmGxWGx4t6aj0yVxN17Rp6H8+Vvdh4cLQh8rixfnNl3OucmQSUAYSgspqScskLZfk3Sy5lDp0gJdegvpRX57Tp4d3VNauzWeunHOVIZNaXk3MrJaZNTCzptF008rInKua9t0XRoyIT0+YAOee6x1zOVfdZVLLS5JOk3RdNN1e0l65z5qryn7961DbK+aJJ+DGG/OXH+dc7mVS5HU/sA+h21+AFcB9OcuRqzaGDAltfsXceGPx3h+dc9VLJgFlbzO7CFgNYGaLCe99OFcqCR54AI44Ij7vggvgtdfylyfnXO5kElDWRX3LG4QXHQnvjziXVqxjrj2iNg42bAh9sXz4YcW2O2FCePfFOVc4MgkodwMvAltKugmYCNxc+irOxTVuHO5KYg1JrloVqhNP36R9hMzEOgjrWWKToM65fMikltdIYDBwC/A9cJyZPZfrjLnqZaut4N13w7sqEFonPvxwmDu3bNspb2+Tzrncy7Q/lOlmdp+Z3WtmFW663tVMnTrB2LHxd1S+/TY8X1m0KLP1PZg4V9gyCijOZcvee8PLL0Ot6MqbNg2OPjp9PyoeTJwrfB5QXKU7/PDwXkrMBx/AccfB6tWp03swca5q8IDi8qJ/f7jnnvj0+PHwm9+E7oQTeTBxrurwgOLy5uKLYejQ+PRLL8FZZ8V7fPRg4lzVkkl/KM7lzDXXwNKl8Ne/hul//hMaNoRTTw3Nt3gwca7q8DsUl1dSeEHxvPPi8x5+ODyof+YZDybOVSUeUFzexZpoOf30+LzVq+GNN7yFYueqEg8oriDUqgVnnAH1ElqJu/12uPpqDyrOVRUeUFxBmDAh1PIaPRr69YvPv/VWuPZaDyrOVQUeUFzeJdbmOvTQ8PfYY+PLb74ZrrvOg4pzhS4vAUXSUElTJE2WNFZS2xLSNZM0StJ0SZ9L2iea313SB9H6Rd7hV9WVqmpwvXqhheJjjomnu+kmuOoqDyrOFbJ83aHcbmbdzKw7MBq4voR0dwFvmFlnYDcg1o7YMODGaP3ro2lXxZT2nkn9+jBqVKjtFXPbbfCHP3hQca5Q5SWgmNmyhMlGRH2tJJLUFOgFPBqts9bMlsQ2AcT6td8cmJezzLqcyOSlxfr14fnniz9TufPO8ELkRu+Rx7mCk7dnKJJukjQH6E/qO5SOwAJguKRPJD0iqVG07DLg9mj9vwJXVUaeXXaU5Q34+vVD8ddJJ8Xn3X9/6Fo4uZkW51x+5SygSBonaWqKoR+AmV1jZu2BkcDFKTZRB9gDeMDMdgdWAkOiZRcCg6L1BxHdxZSQj/Oi5yxFCxYsyOIRuvIoT3MqdevC00+HWmAxjz8epteuzUk2nXPlIMtzgbSkbYHXzGzXpPlbAR+YWYdo+gBgiJkdLWkp0MzMTJKApWbWNHnbyXr06GFFRUXZPwiXkYq2zbVhA5x/Pjya8PPhyCPDs5bNNstePp1zxUn6yMx6pEuXr1peOyZM9gU26QzWzOYDcyR1imb1AT6LxucBB0bjBwMzcpRVl0WTJlWsba7atUOzLAMHxue9/nqoarx4cXby6Jwrv3w1DnlrFCg2ArOBCwCi6sOPmNlRUbpLgJGS6gHfAGdF888F7pJUB1gNnIcreIMHV3wbUngw37RpvKXi//wHevWCN9+EtikroDvnKkPei7wqkxd5VS933138bqVDh9D+V6dOJa7inCuHgi7yci4bLr00NHdfJ7rPnjUL9t0X3n8/r9lyrsbygOKqtP79Qx/1sYfyixbBwQeHzrqcc5XLA4qr8o46KtQga9kyTK9eDSeeWLyLYedc7nlAcdXCXnuFoq6OHcP0xo2hSGzgwFDd2DmXex5QXLWxww4hqOy9d3ze3XfD8ceHGmETJmRnPxMmhF4mnXPFeUBx1cqWW4Yv/BNPjM979VUYMSI031LRoBJ7ObNnz4ptx7nqyAOKq3YaNgwvUF5xRXze11+HYrATTih/UKnom/7OVXceUFy1VKtWKJZ69NHQFhjAkiWwYgX07Vv2oOLBxLn0PKC4au3ss2HcOGjRIkyvXx+CylFHwVtvZbYNDybOZcYDiqv2evWCDz+EXROaH129OnTe9fzzpa/rwcS5zHlAcTVCx46hBljiw/p160KwuPfe1Ot4MHGubDyguBqjcePQWddNN4VGJiE8qL/kkjAkNmvnwcS5svOA4moUCa6+GsaMgS22iM+/994QOJYu9WDiXHl5QHE10hFHwEcfwZ57xue9+y5st12oWuzBxFUVw4YVzku7HlBcjdWhA0ycGHqBjFm8GJYtg08/LV4E5lyh6tkz3FEXwku7HlBcjdagATz4IFx7bXzexo2hDbBjj4UFC/KXN+cy0bt3uKOuSFDJVjGvBxRX402YEILKE0/A7rvH57/2GnTrFjrtcq6QVSSoZPOZoQcUV6MlfphOPz1ULb788vjy+fPhyCPhootg5cr85dO5dMoTVLJdAcUDiquxUn2Y6teHO+6A11+HZs3iae+/P9y9fPBBXrLqXEbKElRyUZvRA4qrkdJ9mI44Ar78EvbbLz5vxowwfeWV4U175wpRJkElV1XjPaC4GifTD1OrVvDee6HV4sQXIYcNC3cr3ne9K1TJQeWHH0LxLeT2Pau8BBRJQyVNkTRZ0lhJbVOk6RQtjw3LJF0WLdtC0luSZkR/m1f6QbgqqawfJikEkJEj460WA0yfHu5WLr0Uli/PXX6dK6/eveGxx+CYY0IV+SFDcv/SriwPle0lNTWzZdH4pcDOZnZBKelrA98Be5vZbEnDgEVmdqukIUBzM7sy3X579OhhRUVFWToKV9VU9MP09tvQr19osTixyKt9+/CM5ZhjspdX5yri559D6w+33BLerYpp3jw0iFrW61/SR2bWI126vNyhxIJJpBGQLqr1Ab42s9nRdD9gRDQ+Ajguqxl01U42fpkdfDC88gpstlnowz5mzpzwzsrxx8O33xZfp5DeYnbV35o1IZBsvz0MHlw8mEC4RnPZAkTenqFIuknSHKA/cH2a5KcCTydMtzaz7wGiv1uWsp/zJBVJKlrgb6nVWJMmZec2v3dvGDUqNM8yciS0bBlf9tJL0KUL3Hpr+GBDYb3F7KqvtWvhoYdgxx1DQ6fffx9f1qYNNGkSXt595ZXs/cBJycxyMgDjgKkphn5J6a4CbixlO/WAhYQgEpu3JCnN4kzytOeee5pz2bRggdnvfmcWGmqJDzvsYDZ6dEjz9ttmLVuGv+VR0fVd9bVmjdmDD5pts82m12CbNmYDBxa/dsp7LQFFlsn3fiaJcjkA2wJTS1neDxibNO8LoE003gb4IpN9eUBxuTJxolnXrpt+qI84wmzatPJ/kD2YVA233Za9/9Hbb4ftlWblSrO77jJr127Ta27LLc3+9jez119Pfe2U55oq6IAC7JgwfgkwqpS0/weclTTvdmBIND4EGJbJfj2guFxauzZ8yDffvPgHvHZtswsuMHv++bJ9kD2YVB3Z+l+l287ixWa33BKCRnIgadXKbNgwsxUr0m+nrPkt9IDyfFT8NQV4Fdg6mt8WGJOQbjPgJ2DzpPVbAOOBGdHfLTLZrwcUVxl+/NHs3HPNpOIf+MaNzc44w6xFi/QfZA8mVU8uiza/+87siivMmjRJfUdy++0hkJQlH2XJb0EHlHwNHlBcZZo82eyQQzb9Amja1KxRo1AkkYoHk6or20WbkyeHHyF16256HbVvb3bPPWarVpV//5mm94DiAcUVgI0bzV57zWyXXTb9QqhVy+zSS81Wr46n92BS9VX0S33DBrNXX039YwTMunQxe+yx8EC+Ivsty3oeUDyguAKyfr3Z44+nro3TsmV49jJmjAeT6qI8xU6LF5vdeafZ9tunDiT77Wf28ssh4JR3f+XNrwcUDyiuAK1ebXb33WZbbbXpF4Zkds454YvFVX2ZPhh/8MHwf2/YcNNrolYts1NOMfvgg/LvJxv59YDiAcUVsFWrQtXO1q03/RJp3Nhs0CCz2bPznUtXUSV9SY8eHf7PO+206f8fzJo3Nxs82GzWrPT7qIwqy5kGlLy05ZUv3paXKzRvvAEnnwy1aoW+7BPVrh3eyB84EPbdN97icaaGDQtv1mejqY0JE0JrA4MHV3xbNU2slYNnngkNjN58c8m9gHbrFjpz698fGjWq3HyWpqDb8nLOhS+a008PzWEsWBCaya9dO758wwZ47jnYf3/o0QMeeaRsvUbWxGZfCrHttG23DQ2HHnoo9Oq1aTCpXz8EkH//GyZPhvPOK6xgUiaZ3MZUl8GLvFyhKKkoZNy4UK24e/fURSFNm5r9/vdmH30UapCVdz8VzWehqqwXDNP54Qez++4LD9JT/R/BbOedw0P4hQsrltfKgD9D8YDiClOmD2sffjg8rG3QIPUXUrdu4Qtp/vyK7S/b6+VbvoLojz+aPfSQ2aGHhofpqf5n9eqF/+d992X2g6BQeEDxgOIKUHmqky5cGB7gl/QAt3Zts8MPN3viCbOlSyu23/KmT1TZ7VqVtF5lBNHZs0OtvYMPLjmI1KoVAsl114XKGFUxUHtA8YDiCkxFv9Q3bjSbMMHs9NNTVzEFs/r1zfr2NXvySbNFi8q3/0IpJqvsfGSSfv16s/ffD8GhpGLJ2LD//uHF1VRN7VS1oOIBxQOKKyDZ/sW8ZInZP/5hdsABJX+h1akTfjnfdZfZV19llo+qGgwqup3S0s2dazZ8uNlvfxvSlHS+pfDM5M47zb79tvLOdWXwgOIBxRWIXH+5zpoVWqBN94t5hx3MLr7YbOjQyvnVXCjPbsr6xT5/vtkzz5hdeKFZ586ln9O6dUNx4/33hwYcy3oMVSWoeEDxgOIKQGX/0v7yS7Obbzbr2bP0L0Ip3MGcckpozuPFF3PzxVaZz27Ks9233govEV5+udmZZ4agW9p5g/Ay6llnmT37bOpnVoVyzNnkAcUDiisA+XxA/d13oVmPY44x22yz9F+U7duH5zP33BOeE8SaQ89Gvgvh1/qbb4bgMWRI6MkwVYdoJdXM6tPH7NZbQ3XtVG1pVfQYCj2oZBpQ/E1552qANWvgvfdg7Fh4+234+OPwdVkaCXbaKby9vfPOsMsu0KkT7LADbLZZ2fYfezny2WdTv7mfbnlZLF8OX38NX34Jn38O06fD1KnwxRewbl369evXDy9xHnRQyMs++0DDhunXq+gxZPMcZFumb8p7QHGuBlq0CO67D265BbbYAr77rmzrt20L228P22wT3gRv1w7atAnDVltBixbhbe/E5mJK+sLM9It0wwZYvBh++gnmzw/D99/DnDlh+PZb+Oab0OpAWWy9Ney9dxj23x/23DMElbLIVjAo1KDiASUFDyjOBclfXG++CaeeGpoAWbw4NAEyfTps3Fj+fdSvH4JVkybQtCk0bhyajvnf/0LbZG3bwo8/hjun/feHVq1g/XpYvToMP/8c7jaWLQvD4sXp76rSad06bOdXvwrH+PDD4TxUVHVvN80DSgoeUJzL/E5h1apQVPTZZzBtWvg7YwbMnBm++AtVvXqw3XahaK5LF+jcOfxdtAjOOit+fIV6N1CIPKCk4AHF1XTZeJaxbh3Mng2zZoW/s2fDvHmh+On770OR08KF4S4j2zbfPBSntW4dL15r1y4UvbVvDx06hCKsxEY2SzsuDyqZ8YCSggcUV5Nl+uWZrS/ZVavCXcHy5fFhzZpQnHPHHdCnD4wfDxdeCLvuGoJAnTrQoEEYGjaMF5c1aQLNm4fl2T5uDyrpZRpQ8lJ9FxgKTAEmA2OBtinSdIqWx4ZlwGXRstuB6dE2XgSaZbJfrzbsaqpCeTciebu5ri5bKFWWqzoK+T0UoGnC+KXAg2nS1wbmA9tG04cBdaLx24DbMtmvBxRXExXKuxElba+yX2bMVvqaJNOAkpcOtswssW+6RkC6crc+wNdmNjtaf6yZxR4LfgC0y34unav6KlKc07t3WC+bnXSlykc295PJ/kqSi3zUOJlEnVwMwE3AHGAq0CpN2seAi0tY9ipwWinrngcUAUXbbLNNVqK1c1VBVWvosarltyYh30VewLgoWCQP/ZLSXQXcWMp26gELgdYpll1DeIaiTPLkRV6uJqmK/ZIUSjDwoFJcpgEl77W8JG0LvGZmu5awvB9wkZkdljR/AHAB0MfMVmWyL6/l5VzlKW9xW0WK6ar7C4b5UtDVhiXtaGYzovFLgAPN7KQS0v4f8KaZDU+YdwTwt2i9jBta8IDiXOWozu1a1USZBpS8PJQHbpU0VdIUQo2tgQCS2koaE0skaTPgUOCFpPXvBZoAb0maLOnBSsq3cy6NbAQDf0BeNeW9yKsySVoAzE6Y1ZLwfKYm83Pg5yDLx9+2NaxcBUuXV3xbmzeBRpvBvB8qvq1S1fRrAEo/B9uaWat0G6hRASWZpKJMbuOqMz8Hfg5q+vGDnwPIzjnIV5GXc865asYDinPOuayo6QHloXxnoAD4OfBzUNOPH/wcQBbOQY1+huKccy57avodinPOuSzxgOKccy4rqmVAkfSYpB8lTU2Yt4WktyTNiP42L2HdWZI+jV6YrLKv1ZdwDk6WNE3SRkklVg+UdISkLyR9JWlI5eQ4uyp4/NX5Grhd0nRJUyS9KKlZCetW+WsAKnwOqvN1MDQ6/smSxkpqW8K6ZbsOMmnwq6oNQC9gD2BqwrxhwJBofAgl9KECzAJa5vsYcnQOuhA6LnsH6FHCerWBr4GOhIY5/wfsnO/jqazjrwHXQNq+hKrLNVCRc1ADroO0fVKV5zqolncoZvYvYFHS7H7AiGh8BHBcZeapsqU6B2b2uZl9kWbVvYCvzOwbM1sL/B/h3FUpFTj+aqOEc5BJX0LV4hqACp2DaqOEc5BJn1Rlvg6qZUApQWsz+x4g+rtlCekMGCvpI0nnVVruCsfWhH5qYuZG82qSmnINnA28nmJ+TboGSjoHUM2vA0k3SZoD9AeuT5GkzNdBTQoomdrPzPYAjgQuktQr3xmqZEoxr6bVLa/214Cka4D1wMhUi1PMq3bXQJpzANX8OjCza8ysPeH4L06RpMzXQU0KKD9IagMQ/f0xVSIzmxf9/ZHQeddelZbDwjAXaJ8w3Q6Yl6e85EV1vwaivoSOAfpbVFiepNpfAxmcg2p/HSR4CjgxxfwyXwc1KaC8AgyIxgcALycnkNRIUpPYOOHh3dTkdNXcJGBHSdtJqgecSjh3NUJ1vwaivoSuBPpayR3TVetrIJNzUAOugx0TJvsC01MkK/t1kO8aCDmq1fA08D2wjhBlfwe0AMYDM6K/W0Rp2wJjovGOhJoM/wOmAdfk+1iyfA6Oj8bXAD8QOi4rdg6i6aOALwk1PKrkOSjv8deAa+ArQrn45Gh4sLpeAxU5BzXgOnieECCnAK8CW2fjOvCmV5xzzmVFTSrycs45l0MeUJxzzmWFBxTnnHNZ4QHFOedcVnhAcc45lxUeUJxzzmWFBxTnnHNZ4QHFuWpE0j2SPpbUM5ruIulBSaMkXZjv/LnqzQOKc9VE1ETIlsD5hHaqsNBk/wXAKUCJnYo5lw0eUJxLIOkdSYcnzbtM0v2lrLMi9znbZJ8NJb0rqXZsnpmtBNoQOhC7OyFtX2AiockhJNWT9C9JdSo3166684DiXHFPExrBS3RqNL+QnA28YGYbYjMktQA2A5YDv8w3s1fMbF9CvxdY6CxpPPDrSs2xq/Y8oDhX3CjgGEn1ASR1IDSYN1HS5ZKmRsNlyStK6pDUb/cfJd2QsGy6pEei9UdKOkTSvyXNkLRXlO40SR9GfX3/I/EOJEl/Nm0x+1rgr4TGDHeOtneQpLsl/QMYk5D2pWgbzmWNBxTnEpjZT8CHwBHRrFOBZwh9cp8F7A38CjhX0u5l3PwOwF1AN6Az8Ftgf+CPwNWSuhDuGvYzs+6Eu4xNvvSjpsQ7mtmshHkdgH2jvH4O7BIdzztmdqmZnW9m9yVsZirQs4z5d65UHlCc21RisVesuGt/4EUzW2lmK4AXgAPKuN2ZZvapmW0k3EWMt9Dc96dAB6APsCcwSdLkaLpjiu20BJYkzfsL8Odoe78ElJJERWVrY31+OJcN/lDOuU29BPxN0h5AQzP7OMPuX9dT/Edag6TlaxLGNyZMbyR8FgWMMLOr0uzn58RtS+oOnADsL+m+aNmnGeS3PrA6g3TOZcTvUJxLEt2BvAM8Rvxh/L+A4yRtFlXPPR54L2nVH4AtJbWInsEcU8ZdjwdOkrQlgKQtJG2bIn+LgdqSYkHlNuBYM+tgZh2A3UhzhxI9wF9gZuvKmEfnSuR3KM6l9jShWOtUgOgu5XHC8xWAR8zsk8QVzGydpD8D/wVmkrpb1RKZ2WeSrgXGSqpF6GHvImB2iuRjCXckG4FGZjY+YTs/RF3YbmFmi0rYXW+KP6R3rsK8x0bnqqCoQsDlZnZ6Odd/AbjKzL7Ibs5cTeZFXs5VQdHd0YRSqhWXKKol9pIHE5dtfofinHMuK/wOxTnnXFZ4QHHOOZcVHlCcc85lhQcU55xzWeEBxTnnXFZ4QHHOOZcV/w+0dtB47uR3EwAAAABJRU5ErkJggg==)
%% Cell type:code id:independent-tennis tags:
%% Cell type:code id: tags:
``` python
murn_job["output/equilibrium_energy"]
```
%%%% Output: execute_result
-3.716480589399012
%% Cell type:code id:occupational-cross tags:
%% Cell type:code id: tags:
``` python
# Define functions to get data
# Only work with Murnaghan jobs
......@@ -159,11 +159,11 @@
def get_n_atoms(job_path):
return len(job_path["output/structure/positions"])
```
%% Cell type:code id:collective-parameter tags:
%% Cell type:code id: tags:
``` python
# Compile data using pyiron tables
table = pr.create_table("table_murn", delete_existing_job=True)
table.db_filter_function = get_only_murn
......@@ -192,17 +192,17 @@
1 135.774799 -3.539942 1
2 146.220099 -3.698781 1
3 145.857176 -3.694889 1
4 156.948283 -3.716481 1
%% Cell type:markdown id:valid-apollo tags:
%% Cell type:markdown id: tags:
## **Compute elastic constants**
Using the equilibrium lattice constant, compute the elastic constant matrix using the automated workflow
%% Cell type:code id:industrial-antique tags:
%% Cell type:code id: tags:
``` python
for pot in data_murn.potential.to_list():
group_name = clean_project_name(pot)
pr_pot = pr.create_group(pot)
......@@ -215,22 +215,22 @@
elastic_job = job_ref.create_job(pr_pot.job_type.ElasticMatrixJob, "elastic_job")
elastic_job.input["eps_range"] = 0.05
elastic_job.run()
```
%% Cell type:code id:under-knight tags:
%% Cell type:code id: tags:
``` python
# Inspecting the elastic matrix
plt.matshow(elastic_job["output/elasticmatrix"]["C"]);
```
%%%% Output: display_data
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAAECCAYAAADXWsr9AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAKXUlEQVR4nO3dzYtdhR3G8efpZKpGrdoaJZjQdFEEERrDJQsDhYpVq5J2p4KuhFnYgtKC1KX/gLipi6DSFq0voEKxVg3VIKImTmK0mmgJYmmIML7gSxoaTXy6mDuQJmPnjDlnzkl+3w8MmYmXOw8x35z7MvceJxGAk9u3+h4AoHuEDhRA6EABhA4UQOhAAYQOFDDY0G1fZfsd23ts/3YAe+63PWP7zb63zLG92vbztnfbfsv2rQPYdKrtbbZfH2+6s+9Nc2xP2H7N9pN9b5lj+z3bf7e90/Z0Z99niM+j256Q9A9JP5W0V9Krkm5IsqvHTT+WtF/SH5Nc3NeOI9leKWllkh22z5S0XdIvev5zsqTTk+y3PSnpRUm3Jnmlr01zbP9a0kjSd5Jc2/ceaTZ0SaMkH3b5fYZ6RF8vaU+Sd5N8IelhST/vc1CSFyR93OeGoyV5P8mO8eefS9ot6YKeNyXJ/vGXk+OP3o8mtldJukbSvX1v6cNQQ79A0r+O+Hqvev4LPHS210i6RNLWnqfM3UTeKWlG0uYkvW+SdLek2yV91fOOo0XSs7a3257q6psMNXTP83u9HxWGyvYZkh6TdFuSz/rek+RwkrWSVklab7vXuzq2r5U0k2R7nzu+xoYk6yT9TNIvx3cRWzfU0PdKWn3E16sk7etpy6CN7wc/JunBJI/3vedIST6RtEXSVf0u0QZJG8f3hx+WdJntB/qdNCvJvvGvM5Ke0Ozd1tYNNfRXJf3Q9g9sf1vS9ZL+3POmwRk/8HWfpN1J7up7jyTZXmH77PHnp0m6XNLbfW5KckeSVUnWaPbv0nNJbuxzkyTZPn38IKpsny7pCkmdPKszyNCTHJL0K0nPaPYBpkeTvNXnJtsPSXpZ0oW299q+uc89Yxsk3aTZI9TO8cfVPW9aKel5229o9h/szUkG83TWwJwv6UXbr0vaJukvSZ7u4hsN8uk1AO0a5BEdQLsIHSiA0IECCB0ogNCBAgYdepc/EvhNDXGTNMxdbGpmKTYNOnRJg/ufomFukoa5i03NlA8dQAs6+YGZc787kTWrJ4/7ej746LBWfG+ihUXSrgPntHI9hz49oGVnLW/lutrU5q5lew62cj1f6qAmdUor19WWk33Tf/RvfZGDx7wobFkr136UNasnte2Z1QtfcAmtm76u7wknjBUb3+l7Ar6hrfnbvL/PTXegAEIHCiB0oABCBwogdKAAQgcKIHSgAEIHCiB0oABCBwogdKAAQgcKIHSggEahD+1c5QAWZ8HQx+cq/51mTwJ3kaQbbF/U9TAA7WlyRB/cucoBLE6T0DlXOXCCaxJ6o3OV256yPW17+oOPDh//MgCtaRJ6o3OVJ9mUZJRk1Nb7vAFoR5PQOVc5cIJb8M0hkxyyPXeu8glJ9/d9rnIAi9PoXWCTPCXpqY63AOgIPxkHFEDoQAGEDhRA6EABhA4UQOhAAYQOFEDoQAGEDhRA6EABhA4UQOhAAY1e1LJYuw6co3XT13Vx1d/YjtEjfU+Y19D+nHBy4ogOFEDoQAGEDhRA6EABhA4UQOhAAYQOFEDoQAGEDhRA6EABhA4UQOhAAYQOFEDoQAGEDhSwYOi277c9Y/vNpRgEoH1Njui/l3RVxzsAdGjB0JO8IOnjJdgCoCPcRwcKaC1021O2p21PH/r0QFtXC6AFrYWeZFOSUZLRsrOWt3W1AFrATXeggCZPrz0k6WVJF9rea/vm7mcBaNOC7+ue5IalGAKgO9x0BwogdKAAQgcKIHSgAEIHCiB0oABCBwogdKAAQgcKIHSgAEIHCiB0oABCBwpY8NVrJ4t109f1PWFeO0aP9D3hGFdqbd8T0DKO6EABhA4UQOhAAYQOFEDoQAGEDhRA6EABhA4UQOhAAYQOFEDoQAGEDhRA6EABhA4U0ORsqqttP297t+23bN+6FMMAtKfJ69EPSfpNkh22z5S03fbmJLs63gagJQse0ZO8n2TH+PPPJe2WdEHXwwC0Z1H30W2vkXSJpK2drAHQicah2z5D0mOSbkvy2Tz/fcr2tO3pQ58eaHMjgOPUKHTbk5qN/MEkj893mSSbkoySjJadtbzNjQCOU5NH3S3pPkm7k9zV/SQAbWtyRN8g6SZJl9neOf64uuNdAFq04NNrSV6U5CXYAqAj/GQcUAChAwUQOlAAoQMFEDpQAKEDBRA6UAChAwUQOlAAoQMFEDpQAKEDBRA6UECTN4dc/JXuOagVG9/p4qpPOldqbd8TjjFzy6V9TzjGefe81PeEExpHdKAAQgcKIHSgAEIHCiB0oABCBwogdKAAQgcKIHSgAEIHCiB0oABCBwogdKAAQgcKaHLa5FNtb7P9uu23bN+5FMMAtKfJ69EPSrosyX7bk5JetP3XJK90vA1AS5qcNjmS9o+/nBx/pMtRANrV6D667QnbOyXNSNqcZGunqwC0qlHoSQ4nWStplaT1ti8++jK2p2xP257+UgdbngngeCzqUfckn0jaIumqef7bpiSjJKNJndLOOgCtaPKo+wrbZ48/P03S5ZLe7ngXgBY1edR9paQ/2J7Q7D8MjyZ5sttZANrU5FH3NyRdsgRbAHSEn4wDCiB0oABCBwogdKAAQgcKIHSgAEIHCiB0oABCBwogdKAAQgcKIHSgAEIHCmjyMlUUc949L/U94Rgzt1za94R5DfHPaj4c0YECCB0ogNCBAggdKIDQgQIIHSiA0IECCB0ogNCBAggdKIDQgQIIHSiA0IECCB0ogNCBAhqHbnvC9mu2OWUycIJZzBH9Vkm7uxoCoDuNQre9StI1ku7tdg6ALjQ9ot8t6XZJX33dBWxP2Z62Pf2lDraxDUBLFgzd9rWSZpJs/3+XS7IpySjJaFKntDYQwPFrckTfIGmj7fckPSzpMtsPdLoKQKsWDD3JHUlWJVkj6XpJzyW5sfNlAFrD8+hAAYt6X/ckWyRt6WQJgM5wRAcKIHSgAEIHCiB0oABCBwogdKAAQgcKIHSgAEIHCiB0oABCBwogdKAAQgcKWNSr14C+nHfPS31PmNfMLZf2PeF/HHr0lXl/nyM6UAChAwUQOlAAoQMFEDpQAKEDBRA6UAChAwUQOlAAoQMFEDpQAKEDBRA6UAChAwU0epnq+Nzon0s6LOlQklGXowC0azGvR/9Jkg87WwKgM9x0BwpoGnokPWt7u+2pLgcBaF/Tm+4bkuyzfZ6kzbbfTvLCkRcY/wMwJUmnannLMwEcj0ZH9CT7xr/OSHpC0vp5LrMpySjJaFKntLsSwHFZMHTbp9s+c+5zSVdIerPrYQDa0+Sm+/mSnrA9d/k/JXm601UAWrVg6EnelfSjJdgCoCM8vQYUQOhAAYQOFEDoQAGEDhRA6EABhA4UQOhAAYQOFEDoQAGEDhRA6EABhA4U4CTtX6n9gaR/tnBV50oa2htSDnGTNMxdbGqmzU3fT7Li6N/sJPS22J4e2ltLD3GTNMxdbGpmKTZx0x0ogNCBAoYe+qa+B8xjiJukYe5iUzOdbxr0fXQA7Rj6ER1ACwgdKIDQgQIIHSiA0IEC/gsrqn3d9bxvVwAAAABJRU5ErkJggg==)
%% Cell type:code id:removable-clinic tags:
%% Cell type:code id: tags:
``` python
# Define functions to compute them in a table
# Only operate on ElasticMatrix jobs
......@@ -246,11 +246,11 @@
def get_c44(job_path):
return job_path["output/elasticmatrix"]["C"][3, 3]
```
%% Cell type:code id:ongoing-chocolate tags:
%% Cell type:code id: tags:
``` python
table = pr.create_table("table_elastic", delete_existing_job=True)
table.db_filter_function = filter_elastic
table.add["potential"] = get_potential
......@@ -277,17 +277,17 @@
1 84.710381
2 81.049351
3 100.953889
4 70.714601
%% Cell type:markdown id:considerable-latex tags:
%% Cell type:markdown id: tags:
## **Compare computed elastic constants with that from DFT calculations**
Comparing the computing elastic constant values with DFT benchmarks from the http://atomistictools.org/ database
%% Cell type:code id:governmental-watershed tags:
%% Cell type:code id: tags:
``` python
# Querying the database http://atomistictools.org/ from using the API interface
from structdbrest import StructDBLightRester
......@@ -303,26 +303,26 @@
# Querying for phonon properties
dft_phon_prop = rest.query_properties(rest.PropertyTypes.PHONONS, composition="Cu-%", strukturbericht="A1",
calculator_name=fhi_calc.NAME)[0]
```
%% Cell type:code id:soviet-restaurant tags:
%% Cell type:code id: tags:
``` python
C_dft = dft_elast_prop.value["C"]
print("DFT C11={:.1f} GPa".format(C_dft[0][0]))
print("DFT C12={:.1f} GPa".format(C_dft[0][1]))
print("DFT C44={:.1f} GPa".format(C_dft[3][3]))
```
%% Cell type:markdown id:cardiovascular-annex tags:
%% Cell type:markdown id: tags:
## **Calculation of surface energies**
We can also use the potentials to calculate the surface energies of the Cu (111), (110), and (100) surfaces
%% Cell type:code id:individual-samuel tags:
%% Cell type:code id: tags:
``` python
surface_type_list = ["fcc111", "fcc110", "fcc100"]
......@@ -337,11 +337,11 @@
job_lammps.potential = get_pyiron_potential(pot)
job_lammps.calc_minimize()
job_lammps.run()
```
%% Cell type:code id:applicable-tunnel tags:
%% Cell type:code id: tags:
``` python
# Function to filter only surface calculations
def is_a_surface(job_table):
return (job_table.hamilton == "Lammps") & (job_table.job.str.contains("fcc")) & (job_table.status == "finished")
......@@ -357,11 +357,11 @@
def get_area(job_path):
cell = job_path["output/structure/cell/cell"]
return np.linalg.norm(np.cross(cell[0], cell[1]))
```
%% Cell type:code id:false-jacob tags:
%% Cell type:code id: tags:
``` python
table = pr.create_table("table_surface", delete_existing_job=True)
table.db_filter_function = is_a_surface
table.add["potential"] = get_potential_lammps_job
......@@ -409,20 +409,26 @@
11 Cu-runner-df4 fcc100 419.055871
12 Cu-atomicrex-df1-107-25 fcc111 371.037336
13 Cu-atomicrex-df1-107-25 fcc110 605.901433
14 Cu-atomicrex-df1-107-25 fcc100 428.437012
%% Cell type:markdown id:polished-catalog tags:
%% Cell type:markdown id: tags:
Compute surface energies using data from the bulk fcc crystal
%% Cell type:code id:devoted-lover tags:
%% Cell type:code id: tags:
``` python
eV_A2_to_mJ_m2_factor = 16.0219 * 1e3
```
%% Cell type:code id: tags:
``` python
data_merged = pd.merge(data_surf, data_murn, on="potential")
data_merged["surface_energy"] = data_merged.energy_tot - (data_merged.eq_energy * data_merged.Number_of_atoms)
data_merged["surface_energy_in_mJ_per_sq_m"] = data_merged.surface_energy / data_merged.surface_area / 2 * 16.0219 * 1e3
data_merged["surface_energy_in_mJ_per_sq_m"] = data_merged.surface_energy / data_merged.surface_area / 2 * eV_A2_to_mJ_m2_factor
data_merged[["potential", "surface_type", "surface_energy_in_mJ_per_sq_m"]]
```
%%%% Output: execute_result
......@@ -458,17 +464,87 @@
11 1435.033014
12 1559.908417
13 1809.790013
14 1689.108640
%% Cell type:markdown id:accredited-excuse tags:
%% Cell type:markdown id: tags:
## Compare to DFT reference data queried from atomistictools.org
%% Cell type:code id: tags:
``` python
surface_props = rest.query_properties(rest.PropertyTypes.SURFACE_ENERGY,
composition="Cu-%",
strukturbericht="A1",
calculator_name=fhi_calc.NAME
)
```
%% Cell type:code id: tags:
``` python
surf_dft_data=[]
for surf_prop in surface_props:
surf_dft_data.append([surf_prop.VALUE["surface_orientation"], surf_prop.VALUE["number_of_atoms"], surf_prop.VALUE["surface_energy"]])
```
%% Cell type:code id: tags:
``` python
surf_dft_df=pd.DataFrame(surf_dft_data, columns=["surface_type","number_of_atoms","surface_energy(eV/A^2)"])
```
%% Cell type:code id: tags:
``` python
surf_dft_df.sort_values(["surface_type", "number_of_atoms"], ascending=[False, False], inplace=True)
```
%% Cell type:code id: tags:
``` python
surf_dft_df.drop_duplicates(["surface_type"], keep="first", inplace=True)
```
%% Cell type:code id: tags:
``` python
surf_dft_df["surface_type"] = "fcc" + surf_dft_df["surface_type"]
```
%% Cell type:code id: tags:
``` python
surf_dft_df["surface_energy_in_mJ_per_sq_m"] = surf_dft_df["surface_energy(eV/A^2)"]*eV_A2_to_mJ_m2_factor
```
%% Cell type:code id: tags:
``` python
surf_dft_df
```
%%%% Output: execute_result
surface_type number_of_atoms surface_energy(eV/A^2) \
7 fcc111 14 0.085074
5 fcc110 9 0.098272
0 fcc100 10 0.092586
surface_energy_in_mJ_per_sq_m
7 1363.054065
5 1574.504220
0 1483.399754
%% Cell type:markdown id: tags:
## **Finite temperature thermodynamics (Harmonic approximation)**
We can also compute free energies and other finite temperature thermodynamic properties within the Harmonic approximation using phonopy (http://phonopy.github.io)
%% Cell type:code id:seasonal-helmet tags:
%% Cell type:code id: tags:
``` python
for pot in data_murn.potential.to_list():
group_name = clean_project_name(pot)
pr_pot = pr.create_group(group_name)
......@@ -479,15 +555,15 @@
job_ref.calc_static()
phonopy_job = job_ref.create_job(pr_pot.job_type.PhonopyJob, "phonopy_job")
phonopy_job.run()
```
%% Cell type:markdown id:clean-kruger tags:
%% Cell type:markdown id: tags:
Plotting the thermodynamic properties using phonopy
%% Cell type:code id:mathematical-monitor tags:
%% Cell type:code id: tags:
``` python
fig, ax_list = plt.subplots(ncols=3, nrows=1, sharex="row")
fig.set_figwidth(20)
#fig.set_figheight(20)
......@@ -522,15 +598,15 @@
%%%% Output: display_data
![](data:image/png;base64,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)
%% Cell type:markdown id:eastern-dayton tags:
%% Cell type:markdown id: tags:
We can also compute the phonon density of states and compare with that from benchmarked DFT calculations
%% Cell type:code id:general-eating tags:
%% Cell type:code id: tags:
``` python
fig, ax = plt.subplots(ncols=1, nrows=1, sharex="row")
for i, pot in enumerate(potential_list):
......@@ -544,25 +620,25 @@
%%%% Output: display_data
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)
%% Cell type:markdown id:flush-cleaning tags:
%% Cell type:markdown id: tags:
## **Validating against original dataset**
Finally we see how well the potentials reproduce the energies and forces from the dataset they are fit on
%% Cell type:code id:weekly-austria tags:
%% Cell type:code id: tags:
``` python
pr_import = Project("../datasets")
if len(pr_import.job_table()) == 0:
pr_import.unpack("Cu_training_archive")
```
%% Cell type:code id:whole-syracuse tags:
%% Cell type:code id: tags:
``` python
pr_import.job_table()
```
......@@ -590,17 +666,17 @@
0 TrainingContainer 0.4 None None
1 TrainingContainer 0.4 None None
2 TrainingContainer 0.4 None None
3 TrainingContainer 0.4 None None
%% Cell type:code id:alert-adjustment tags:
%% Cell type:code id: tags:
``` python
container = pr_import.load("df1_A1_A2_A3_EV_elast_phon")
```
%% Cell type:code id:center-contributor tags:
%% Cell type:code id: tags:
``` python
container.to_pandas()
```
......@@ -671,24 +747,24 @@
103 1.0
104 1.0
[105 rows x 5 columns]
%% Cell type:markdown id:empirical-ceiling tags:
%% Cell type:markdown id: tags:
Now we iterate over the structures in the dataset and compute the energies and forces for comparison
%% Cell type:code id:compliant-crazy tags:
%% Cell type:code id: tags:
``` python
structure_list, energy_list, force_list, num_atoms_list = container.to_list()
energy_per_atom_list = np.array(energy_list) / np.array(num_atoms_list)
```
%% Cell type:code id:negative-system tags:
%% Cell type:code id: tags:
``` python
energy_pred_dict = dict()
force_pred_dict = dict()
......@@ -721,11 +797,11 @@
energy_pred_dict[pot] = energy_pred_list
force_pred_dict[pot] = force_pred_list
```
%% Cell type:code id:danish-nerve tags:
%% Cell type:code id: tags:
``` python
fig, ax_list = plt.subplots(ncols=len(potential_list), nrows=2, sharey="row", sharex="row")
fig.set_figwidth(18)
fig.set_figheight(12)
......@@ -755,10 +831,10 @@
%%%% Output: display_data
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