{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2D Perovskite\n", "\n", "Non-3D perovskites can be processed in a similar way. Here we included a trajectory of a 2D perovskites in the EXTXYZ format. The octahedra are composed of Pb and I atoms, so we can just use the default bond length settings. However, unlike the 3D perovskites, the neighbours are not uniformly connected along the three prinsiple axes. One can define this simply with a `dict` (input option `structure_ref_NN1`) where each entry is a Numpy array with the rows being relative position (vector) of each B-site atom to another B-site that belongs to a neighbour group. For example, the defined connections in the below script are shown in this figure. In the second block we also showed the case where this `dict` is not specified, all the NN1 neighbours are considered the same (The `Connection 3` neighbours across layers are not NN1 so not considered), so that only one tilting pattern is given (effectively the combination of `Connection 1` and `Connection 2`). \n", "\n", " \n", "\n", "Additionally, in order to obtain a stable matching of octehedra to the perfect references, it if recommended to provide an alignment rotation which rotate all the octahedra so that the BX6 bond vectors are close to the orthogonal orientations. In this case, we chose a 45 degree rotation about the z-axis, corresponding to a notation of `[0,0,45]`. Note that the output tilting patterns are also rotated accordingly. \n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "------------------------------------------------------------\n", "Loading Trajectory files...\n", "Current sample: test_2D\n", "Time Span: 190.0 ps\n", "Frame count: 38\n", "Reading every 1 frame(s)\n", "Number of atoms: 1404\n", "Temperature: 200K\n", " \n", "Computing octahedral tilting and distortion...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Progress: 100%|██████████| 38/38 [00:04<00:00, 8.81it/s]\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Tilt-Corr-NN1: computing NN1 correlation of tilting in non-3D perovskite structure, neighbours are classified according to user-defined references. \n" ] }, { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "dynamic X-site distortion: [0.0452 0.117 0.0872 0.1195]\n", "dynamic B-site distortion: [0.0625 0.0609 0.0721]\n", " \n", " \n", "--Elapsed Time\n", "Data Reading: 00:00:00\n", "Structure Resolving: 00:00:00\n", "Tilting & Distortion: 00:00:05\n", "Total: 00:00:05\n", "------------------------------------------------------------\n" ] } ], "source": [ "import numpy as np\n", "from pdyna.core import Trajectory\n", "\n", "# This dict classifies the neighbouring B-sites into categories according to your demand, \n", "# and the corresponding relative positions (vectors) are stored in the numpy array\n", "tlib = {'Connection 1': np.array([[ 4.3, 4.3, 0.],\n", " [-4.3, -4.3, 0.]]),\n", " 'Connection 2': np.array([[ 4.3, -4.3, 0.],\n", " [-4.3, 4.3, 0.]]),\n", " 'Connection 3': np.array([[-4.2, 0. , -13.],\n", " [ 4.2, 0. , 13.]]),\n", " }\n", "\n", "MDtup = (200,200,1,5000) # (T_initlal, T_final, timestep, nblock in VASP or equally recording frequency)\n", "\n", "traj = Trajectory(\"extxyz\",(\"trajetory_2D.extxyz\", None, MDtup)) # The inputs for EXTXYZ format are (trajectory file, initial frame file, MDtup)\n", "# The initial frame file is optional, if not provided, the first frame in the trajectory file will be used as the initial frame\n", "\n", "traj.dynamics(read_mode= 1, # equilibration mode \n", " uniname=\"test_2D\", # A unique user-defined name for this trajectory, will be used in printing and figure saving\n", " allow_equil = 0, # use the entire trajectory\n", " read_every = 1, # read every step\n", " \n", " toggle_tilt_distort = True, # switch of octahedral tilting and distortion calculation\n", " \n", " structure_type = 2, # 1: 3C polytype, 2: other non-perovskite with orthogonal reference enabled, 3: other non-perovskite with initial config as reference \n", " structure_ref_NN1 = tlib,\n", " multi_thread = 8, # enable multi-threading in this calculation, since not vectorized\n", " rotation_from_orthogonal = [0,0,45], # rotation angles in degrees for each axis, to align the structure with your preferred orientation\n", " )" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Current sample: test_2D\n", "Time Span: 190.0 ps\n", "Frame count: 38\n", "Reading every 1 frame(s)\n", "Number of atoms: 1404\n", "Temperature: 200K\n", " \n", "Computing octahedral tilting and distortion...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Progress: 100%|██████████| 38/38 [00:00<00:00, 52.04it/s]\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Tilt-Corr-NN1: computing NN1 correlation of tilting in non-3D perovskite structure, all NN1 neighbours are considered the same. \n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "dynamic X-site distortion: [0.0452 0.117 0.0872 0.1195]\n", "dynamic B-site distortion: [0.0625 0.0609 0.0721]\n", " \n", " \n", "--Elapsed Time\n", "Data Reading: 00:00:00\n", "Structure Resolving: 00:00:00\n", "Tilting & Distortion: 00:00:01\n", "Total: 00:00:01\n", "------------------------------------------------------------\n" ] } ], "source": [ "traj.dynamics(read_mode= 1, # equilibration mode \n", " uniname=\"test_2D\", # A unique user-defined name for this trajectory, will be used in printing and figure saving\n", " allow_equil = 0, # use the entire trajectory\n", " read_every = 1, # read every step\n", " \n", " toggle_tilt_distort = True, # switch of octahedral tilting and distortion calculation\n", " \n", " structure_type = 2, # 1: 3C polytype, 2: other non-perovskite with orthogonal reference enabled, 3: other non-perovskite with initial config as reference \n", " structure_ref_NN1 = None, \n", " multi_thread = 8, # enable multi-threading in this calculation, since not vectorized\n", " rotation_from_orthogonal = [0,0,45], # rotation angles in degrees for each axis, to align the structure with your preferred orientation\n", " )" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }