{"cells":[{"metadata":{},"cell_type":"markdown","source":"# ADIS Workshop Hands-on Session Day I: Vacancy detection\n\n## Questions to look into\n\n1. Voronoi volume for atoms? Large ones should be near vacancies\n2. Gaussian smearing of atomic positions? Local minima should correspond to vac.\n    - use second derivative, correlated to coordination number\n    - estimate smearing from covalent bond length?\n    - estimate from density?\n    - use different smearing for different atoms\n3. Effective coordination numbers? Count neighbors inside cutoff (smooth cutoff)?\n4. In case of high temp: Quench to T=0 do any other method.\n5. Crystal structure detection using Steinhardt parameter and machine learning"},{"metadata":{"heading_collapsed":true},"cell_type":"markdown","source":"## Set up"},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T13:49:36.918282Z","start_time":"2020-11-05T13:49:35.090202Z"},"hidden":true,"trusted":true},"cell_type":"code","source":"import pyiron, ase.io\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport os.path\nfrom ase.io import lammpsdata\n%config InlineBackend.figure_format = 'retina'","execution_count":1,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T13:49:37.548000Z","start_time":"2020-11-05T13:49:36.919513Z"},"hidden":true,"trusted":true},"cell_type":"code","source":"pr = pyiron.Project('ADIS')","execution_count":2,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"# Single vacancy"},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:12:50.225413Z","start_time":"2020-11-05T14:12:50.137032Z"},"trusted":true},"cell_type":"code","source":"bulk = pr.create_ase_bulk('Cu', cubic=True).repeat(10)\n\nvacancy = bulk.copy()\nvacancy_id = 17\nvacancy[vacancy_id]\n\nvac_position = vacancy[vacancy_id].position\ndel vacancy[vacancy_id]\n","execution_count":3,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:12:50.389218Z","start_time":"2020-11-05T14:12:50.291367Z"},"trusted":true},"cell_type":"code","source":"vacancy.plot3d()","execution_count":4,"outputs":[{"output_type":"display_data","data":{"text/plain":"","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"84168489959b4934b2a76df86a5553e3"}},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"a7398d7ec8284ff4b811ad4b3daabb6a"}},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:12:51.035779Z","start_time":"2020-11-05T14:12:50.738658Z"},"trusted":true},"cell_type":"code","source":"voro = vacancy.analyse_ovito_voronoi_volume()\nplt.xlabel('Voronoi volume')\nplt.hist(voro, log=True);","execution_count":5,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"image/png":{"width":373,"height":261},"needs_background":"light"}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:13:31.235679Z","start_time":"2020-11-05T14:13:31.233385Z"},"trusted":true},"cell_type":"code","source":"vac_neighbors = voro > 12","execution_count":6,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:13:31.331089Z","start_time":"2020-11-05T14:13:31.328587Z"},"trusted":true},"cell_type":"code","source":"vac_neighbors.sum()","execution_count":7,"outputs":[{"output_type":"execute_result","execution_count":7,"data":{"text/plain":"12"},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:13:31.719694Z","start_time":"2020-11-05T14:13:31.667769Z"},"scrolled":true,"trusted":true},"cell_type":"code","source":"vacancy[vac_neighbors].plot3d()","execution_count":8,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"5a5c410862174d1bb3765301b01fd60e"}},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:16:28.185867Z","start_time":"2020-11-05T14:16:28.179493Z"},"trusted":true},"cell_type":"code","source":"vacancy_neighbors_structure = vacancy[vac_neighbors]","execution_count":9,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:16:28.306871Z","start_time":"2020-11-05T14:16:28.303448Z"},"trusted":true},"cell_type":"code","source":"neighbors = vacancy_neighbors_structure.get_neighbors(num_neighbors=11)","execution_count":10,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:13:38.549856Z","start_time":"2020-11-05T14:13:38.546390Z"},"trusted":true},"cell_type":"code","source":"print('Predicted position:',\n      np.round(vacancy_neighbors_structure.positions[0]+neighbors.vecs[0, :, :].sum(axis = 0)/12, 8))\nprint('Original position:',\n      np.round(vac_position, 8))","execution_count":11,"outputs":[{"output_type":"stream","text":"Predicted position: [ 0.    16.245  1.805]\nOriginal position: [ 0.    16.245  1.805]\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"# Multiple vacancies & finite temperature"},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:16.714698Z","start_time":"2020-11-05T14:13:38.955244Z"},"trusted":true},"cell_type":"code","source":"cu_400_5 = pr.load('Cu_400_5').structure\ncu_400_5[:] = 'Cu'","execution_count":12,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:16.837414Z","start_time":"2020-11-05T14:15:16.760062Z"},"trusted":true},"cell_type":"code","source":"cu_400_5.plot3d()","execution_count":13,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"f55b2aa06774448e988a861789204e77"}},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:17.163122Z","start_time":"2020-11-05T14:15:16.838762Z"},"trusted":true},"cell_type":"code","source":"voro = cu_400_5.analyse_ovito_voronoi_volume()\nplt.xlabel('Voronoi volume')\nplt.hist(voro, log=True, bins=50);","execution_count":14,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"image/png":{"width":384,"height":261},"needs_background":"light"}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:19.689269Z","start_time":"2020-11-05T14:15:17.164299Z"},"trusted":true},"cell_type":"code","source":"j = pr.create_job(pr.job_type.Lammps, \"Cu_minimization\", True)\nj.structure = cu_400_5\nj.potential = j.list_potentials()[0]\nj.calc_minimize()\nj.run()","execution_count":15,"outputs":[{"output_type":"stream","text":"The job Cu_minimization was saved and received the ID: 48\n","name":"stdout"}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:19.971290Z","start_time":"2020-11-05T14:15:19.735620Z"},"trusted":true},"cell_type":"code","source":"j.animate_structure()","execution_count":16,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget(max_frame=1)","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"6d924f77575f45ed94d7c6c35efa64b9"}},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:20.583521Z","start_time":"2020-11-05T14:15:19.972487Z"},"trusted":true},"cell_type":"code","source":"cu_400_5_q = j.get_structure()\nvoro = cu_400_5_q.analyse_ovito_voronoi_volume()","execution_count":17,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.020889Z","start_time":"2020-11-05T14:15:20.584651Z"},"trusted":true},"cell_type":"code","source":"plt.hist(voro, bins=100, log=True);","execution_count":18,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{"image/png":{"width":373,"height":248},"needs_background":"light"}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.027173Z","start_time":"2020-11-05T14:15:21.023908Z"},"trusted":true},"cell_type":"code","source":"(voro > 12).sum()","execution_count":19,"outputs":[{"output_type":"execute_result","execution_count":19,"data":{"text/plain":"58"},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:28:11.415893Z","start_time":"2020-11-05T14:28:11.406268Z"},"trusted":true},"cell_type":"code","source":"vacancy_neighbors_structure = cu_400_5_q[voro>12]\nvacancy_neighbors_structure.center_coordinates_in_unit_cell();","execution_count":20,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:28:13.036868Z","start_time":"2020-11-05T14:28:12.983484Z"},"trusted":true},"cell_type":"code","source":"vacancy_neighbors_structure.plot3d()","execution_count":21,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"51ea91147f4d4a22b756a97a1c6e74d6"}},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.045623Z","start_time":"2020-11-05T14:15:21.040403Z"},"trusted":true},"cell_type":"code","source":"neighbors = vacancy_neighbors_structure.get_neighbors(num_neighbors=11)","execution_count":22,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.179891Z","start_time":"2020-11-05T14:15:21.046682Z"},"trusted":true},"cell_type":"code","source":"plt.xlabel('Distance')\nplt.hist(neighbors.distances.max(axis=-1));","execution_count":23,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 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\n"},"metadata":{"image/png":{"width":368,"height":261},"needs_background":"light"}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.211144Z","start_time":"2020-11-05T14:15:21.181053Z"},"trusted":true},"cell_type":"code","source":"vacancy_neighbors_structure[neighbors.distances.max(axis=-1) < 4] = 'Ni'","execution_count":24,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.264404Z","start_time":"2020-11-05T14:15:21.212409Z"},"trusted":true},"cell_type":"code","source":"vacancy_neighbors_structure.plot3d()","execution_count":25,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"290bdb7e64164bb2b2f7e8258bb7c86d"}},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.267399Z","start_time":"2020-11-05T14:15:21.265461Z"},"trusted":true},"cell_type":"code","source":"vac_positions = vacancy_neighbors_structure.positions + neighbors.vecs.sum(axis = 1)/12","execution_count":26,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.303811Z","start_time":"2020-11-05T14:15:21.268494Z"},"trusted":true},"cell_type":"code","source":"vac_structure = pr.create_atoms(positions = vac_positions, symbols = ['O']*len(vac_positions), pbc=True,\n                                cell = vacancy_neighbors_structure.cell)\nvac_structure.append(vacancy_neighbors_structure)","execution_count":27,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.358410Z","start_time":"2020-11-05T14:15:21.304933Z"},"trusted":true},"cell_type":"code","source":"vac_structure.plot3d()","execution_count":28,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"76fd9b563545437583fedd6b6e416b6f"}},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"# Gaussian Smearing"},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.361399Z","start_time":"2020-11-05T14:15:21.359454Z"},"trusted":true},"cell_type":"code","source":"import scipy.stats as st","execution_count":29,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.379464Z","start_time":"2020-11-05T14:15:21.362432Z"},"trusted":true},"cell_type":"code","source":"P = vacancy.get_extended_positions(10)[0].T","execution_count":30,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.384326Z","start_time":"2020-11-05T14:15:21.380684Z"},"trusted":true},"cell_type":"code","source":"kde = st.gaussian_kde(P, bw_method=.15)","execution_count":31,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.389898Z","start_time":"2020-11-05T14:15:21.385426Z"},"trusted":true},"cell_type":"code","source":"x = np.linspace(0, 36.1, 50)","execution_count":32,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.397693Z","start_time":"2020-11-05T14:15:21.390962Z"},"trusted":true},"cell_type":"code","source":"X, Y, Z = np.meshgrid(x, x, x)","execution_count":33,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:54.087589Z","start_time":"2020-11-05T14:15:21.408179Z"},"trusted":true},"cell_type":"code","source":"positions = np.vstack([X.ravel(), Y.ravel(), Z.ravel()])\nimage = np.reshape(kde(positions).T, X.shape)","execution_count":34,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:21.405170Z","start_time":"2020-11-05T14:15:21.398765Z"},"trusted":true},"cell_type":"code","source":"positions","execution_count":35,"outputs":[{"output_type":"execute_result","execution_count":35,"data":{"text/plain":"array([[ 0.        ,  0.        ,  0.        , ..., 36.1       ,\n        36.1       , 36.1       ],\n       [ 0.        ,  0.        ,  0.        , ..., 36.1       ,\n        36.1       , 36.1       ],\n       [ 0.        ,  0.73673469,  1.47346939, ..., 34.62653061,\n        35.36326531, 36.1       ]])"},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:54.093049Z","start_time":"2020-11-05T14:15:54.090302Z"},"trusted":true},"cell_type":"code","source":"W = np.where(Z < .75e-5)","execution_count":36,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:54.103115Z","start_time":"2020-11-05T14:15:54.093988Z"},"trusted":true},"cell_type":"code","source":"plt.style.use('default')\n# plt.rc('figure', figsize=(14,10))","execution_count":37,"outputs":[]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:54.114216Z","start_time":"2020-11-05T14:15:54.104011Z"},"trusted":true},"cell_type":"code","source":"np.unique(P[2][P[2]>0])","execution_count":38,"outputs":[{"output_type":"execute_result","execution_count":38,"data":{"text/plain":"array([ 1.805,  3.61 ,  5.415,  7.22 ,  9.025, 10.83 , 12.635, 14.44 ,\n       16.245, 18.05 , 19.855, 21.66 , 23.465, 25.27 , 27.075, 28.88 ,\n       30.685, 32.49 , 34.295, 36.1  , 37.905, 39.71 , 41.515, 43.32 ,\n       45.125])"},"metadata":{}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:34:18.193720Z","start_time":"2020-11-05T14:34:17.931289Z"},"trusted":true},"cell_type":"code","source":"# plane = P[2, 2000]\nplane = np.unique(P[2][P[2]>0])[10]\nz_index = np.argmin(np.absolute(x-plane))\n# print(plane)\nplt.imshow(np.rot90(np.rot90(image[:, :, z_index])), extent=(0, 36.1, 0, 36.1),)\nplt.colorbar()\n# plt.scatter(P[0, abs(P[2] - plane) < 0.5], P[1, abs(P[2] - plane) < 0.5], marker='.', color='r')\nplt.scatter(P[0, abs(P[2] - plane) < 0.5], P[1, abs(P[2] - plane) < 0.5], marker='.', color='r')\nplt.xlim(0, 36.1)\nplt.ylim(0, 36.1);","execution_count":39,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 2 Axes>","image/png":"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\n"},"metadata":{"image/png":{"width":492,"height":428}}}]},{"metadata":{"ExecuteTime":{"end_time":"2020-11-05T14:15:55.299582Z","start_time":"2020-11-05T14:15:54.362890Z"},"trusted":true},"cell_type":"code","source":"plt.xlabel('Gaussian density')\n# plt.axvline(5.7055e-6, color='r')\nplt.hist(image.flat, log=True, bins=100);","execution_count":40,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 640x480 with 1 Axes>","image/png":"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\n"},"metadata":{"image/png":{"width":550,"height":432}}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"name":"python3","display_name":"Python 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