|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "source": [ |
| 6 | + "# Create a 2D Surface Grain Boundary in a film\n", |
| 7 | + "\n", |
| 8 | + "Use commensurate lattice matching algorithm to create grain boundaries in 2D materials by finding appropriate twist angles between two orientations of the same material.\n", |
| 9 | + "\n", |
| 10 | + "<h2 style=\"color:green\">Usage</h2>\n", |
| 11 | + "\n", |
| 12 | + "1. Make sure to select Input Material (in the outer runtime) before running the notebook.\n", |
| 13 | + "1. Set notebook parameters in cell 1.1. below (or use the default values).\n", |
| 14 | + "1. Click \"Run\" > \"Run All\" to run all cells.\n", |
| 15 | + "1. Wait for the run to complete (depending on the parameters can take a few min).\n", |
| 16 | + "1. Scroll down to view results.\n", |
| 17 | + "\n", |
| 18 | + "## Notes\n", |
| 19 | + "\n", |
| 20 | + "1. We perform commensurate lattice matching to find valid supercells that achieve the desired twist angle.\n", |
| 21 | + "1. When the matching is finished, grain boundaries with angles close to the target are presented.\n", |
| 22 | + "1. The algorithm searches for supercell matrices within specified size limits.\n", |
| 23 | + "2. The two orientations are placed next to each other in the x-direction with a gap in between.\n", |
| 24 | + "1. Atoms on the edge of the left orientation are handled to overlap with the right orientation in the interfacial region.\n", |
| 25 | + "1. For more information, see the [Introduction](Introduction.ipynb) notebook.\n" |
| 26 | + ], |
| 27 | + "metadata": { |
| 28 | + "collapsed": false |
| 29 | + }, |
| 30 | + "id": "415ed707e27a6c8e" |
| 31 | + }, |
| 32 | + { |
| 33 | + "cell_type": "markdown", |
| 34 | + "source": [ |
| 35 | + "## 1. Prepare the Environment\n", |
| 36 | + "### 1.1. Set up the notebook\n", |
| 37 | + "Set the following flags to control the notebook behavior\n", |
| 38 | + "For more information on the parameters and algorithm, refer to [Grain Boundary Builder Source](https://github.com/Exabyte-io/made/blob/35b9f318f5d667e0f5af023f3178bc4404317ab0/src/py/mat3ra/made/tools/build/grain_boundary/builders.py#L103)\n", |
| 39 | + "`EDGE_INCLUSION_TOLERANCE` is a fine-tuning parameter that controls the inclusion of the edge atoms for both orientations in the gap.\n", |
| 40 | + "For example of Graphene at 17.9 degrees: orange and green atoms are present with the value of 0.5 Angstroms, with value of 0, they will not be included.\n", |
| 41 | + "<img src=\"https://i.imgur.com/QRgotXS.png\" alt=\"Edge Inclusion Tolerance\" width=\"400\"/>\n" |
| 42 | + ], |
| 43 | + "metadata": { |
| 44 | + "collapsed": false |
| 45 | + }, |
| 46 | + "id": "a080006df3785cc5" |
| 47 | + }, |
| 48 | + { |
| 49 | + "cell_type": "code", |
| 50 | + "outputs": [], |
| 51 | + "source": [ |
| 52 | + "# Material selection\n", |
| 53 | + "MATERIAL_INDEX = 0 # Index in the list of materials\n", |
| 54 | + "\n", |
| 55 | + "# Grain boundary parameters\n", |
| 56 | + "TARGET_TWIST_ANGLE = 17.9 # in degrees\n", |
| 57 | + "BOUNDARY_GAP = 2.0 # Gap between two orientations in X direction, in Angstroms\n", |
| 58 | + "XY_SUPERCELL_MATRIX = [[1, 0], [0, 1]] # Supercell matrix to be applied to each of the orientations before matching\n", |
| 59 | + "\n", |
| 60 | + "# Search algorithm parameters\n", |
| 61 | + "MAX_REPETITION = 6 # Maximum supercell matrix element value\n", |
| 62 | + "ANGLE_TOLERANCE = 2.5 # in degrees\n", |
| 63 | + "RETURN_FIRST_MATCH = True # If True, returns first solution within tolerance\n", |
| 64 | + "\n", |
| 65 | + "# Distance tolerance for two atoms to be considered too close. \n", |
| 66 | + "# Used when merging two orientations to remove the atoms of the first one. \n", |
| 67 | + "# Should be less than the expected bond length\n", |
| 68 | + "DISTANCE_TOLERANCE = 1.2 # in Angstroms\n", |
| 69 | + "\n", |
| 70 | + "# How much to expand inclusion of the edge atoms for both orientations and fill in the gap region.\n", |
| 71 | + "# A fine-tuning parameter\n", |
| 72 | + "EDGE_INCLUSION_TOLERANCE = 0.5 # in Angstroms\n", |
| 73 | + "\n", |
| 74 | + "# Visualization parameters\n", |
| 75 | + "SHOW_INTERMEDIATE_STEPS = True\n", |
| 76 | + "CELL_REPETITIONS_FOR_VISUALIZATION = [3, 3, 1]" |
| 77 | + ], |
| 78 | + "metadata": { |
| 79 | + "collapsed": false |
| 80 | + }, |
| 81 | + "id": "338ee3c51155e086", |
| 82 | + "execution_count": null |
| 83 | + }, |
| 84 | + { |
| 85 | + "cell_type": "markdown", |
| 86 | + "source": [ |
| 87 | + "### 1.2. Install packages\n", |
| 88 | + "The step executes only in Pyodide environment. For other environments, the packages should be installed via `pip install`." |
| 89 | + ], |
| 90 | + "metadata": { |
| 91 | + "collapsed": false |
| 92 | + }, |
| 93 | + "id": "6463f9bbcd3be7c7" |
| 94 | + }, |
| 95 | + { |
| 96 | + "cell_type": "code", |
| 97 | + "outputs": [], |
| 98 | + "source": [ |
| 99 | + "import sys\n", |
| 100 | + "\n", |
| 101 | + "if sys.platform == \"emscripten\":\n", |
| 102 | + " import micropip\n", |
| 103 | + "\n", |
| 104 | + " await micropip.install('mat3ra-api-examples', deps=False)\n", |
| 105 | + " from utils.jupyterlite import install_packages\n", |
| 106 | + "\n", |
| 107 | + " await install_packages(\"\", \"../../config.yml\")" |
| 108 | + ], |
| 109 | + "metadata": { |
| 110 | + "collapsed": false |
| 111 | + }, |
| 112 | + "id": "7e22d1f4da825575", |
| 113 | + "execution_count": null |
| 114 | + }, |
| 115 | + { |
| 116 | + "cell_type": "markdown", |
| 117 | + "source": [ |
| 118 | + "### 1.3. Load and preview input material" |
| 119 | + ], |
| 120 | + "metadata": { |
| 121 | + "collapsed": false |
| 122 | + }, |
| 123 | + "id": "4a1cfe15caa44c3e" |
| 124 | + }, |
| 125 | + { |
| 126 | + "cell_type": "code", |
| 127 | + "outputs": [], |
| 128 | + "source": [ |
| 129 | + "from utils.jupyterlite import get_materials\n", |
| 130 | + "\n", |
| 131 | + "materials = get_materials(globals())" |
| 132 | + ], |
| 133 | + "metadata": { |
| 134 | + "collapsed": false |
| 135 | + }, |
| 136 | + "id": "a1635c31132962f6", |
| 137 | + "execution_count": null |
| 138 | + }, |
| 139 | + { |
| 140 | + "cell_type": "markdown", |
| 141 | + "source": [ |
| 142 | + "## 2. Prepare Material\n", |
| 143 | + "### 2.1. Select and visualize initial material" |
| 144 | + ], |
| 145 | + "metadata": { |
| 146 | + "collapsed": false |
| 147 | + }, |
| 148 | + "id": "32b3ad775543b06f" |
| 149 | + }, |
| 150 | + { |
| 151 | + "cell_type": "code", |
| 152 | + "outputs": [], |
| 153 | + "source": [ |
| 154 | + "from utils.visualize import visualize_materials\n", |
| 155 | + "\n", |
| 156 | + "material = materials[MATERIAL_INDEX]\n", |
| 157 | + "\n", |
| 158 | + "if SHOW_INTERMEDIATE_STEPS:\n", |
| 159 | + " visualize_materials(material, repetitions=CELL_REPETITIONS_FOR_VISUALIZATION)" |
| 160 | + ], |
| 161 | + "metadata": { |
| 162 | + "collapsed": false |
| 163 | + }, |
| 164 | + "id": "61f0870d8104cd21", |
| 165 | + "execution_count": null |
| 166 | + }, |
| 167 | + { |
| 168 | + "cell_type": "markdown", |
| 169 | + "source": [ |
| 170 | + "## 3. Generate Surface Grain Boundary\n", |
| 171 | + "### 3.1. Set up grain boundary configuration and builder\n" |
| 172 | + ], |
| 173 | + "metadata": { |
| 174 | + "collapsed": false |
| 175 | + }, |
| 176 | + "id": "34d6c7a337f1e40b" |
| 177 | + }, |
| 178 | + { |
| 179 | + "cell_type": "code", |
| 180 | + "outputs": [], |
| 181 | + "source": [ |
| 182 | + "from mat3ra.made.tools.build.grain_boundary import (\n", |
| 183 | + " SurfaceGrainBoundaryConfiguration,\n", |
| 184 | + " SurfaceGrainBoundaryBuilderParameters,\n", |
| 185 | + " SurfaceGrainBoundaryBuilder\n", |
| 186 | + ")\n", |
| 187 | + "\n", |
| 188 | + "config = SurfaceGrainBoundaryConfiguration(\n", |
| 189 | + " film=material,\n", |
| 190 | + " twist_angle=TARGET_TWIST_ANGLE,\n", |
| 191 | + " distance_z=BOUNDARY_GAP,\n", |
| 192 | + " gap=BOUNDARY_GAP,\n", |
| 193 | + " xy_supercell_matrix=XY_SUPERCELL_MATRIX\n", |
| 194 | + ")\n", |
| 195 | + "\n", |
| 196 | + "params = SurfaceGrainBoundaryBuilderParameters(\n", |
| 197 | + " max_supercell_matrix_int=MAX_REPETITION,\n", |
| 198 | + " angle_tolerance=ANGLE_TOLERANCE,\n", |
| 199 | + " return_first_match=RETURN_FIRST_MATCH,\n", |
| 200 | + " edge_inclusion_tolerance=EDGE_INCLUSION_TOLERANCE,\n", |
| 201 | + " distance_tolerance=DISTANCE_TOLERANCE\n", |
| 202 | + ")\n", |
| 203 | + "\n", |
| 204 | + "builder = SurfaceGrainBoundaryBuilder(build_parameters=params)" |
| 205 | + ], |
| 206 | + "metadata": { |
| 207 | + "collapsed": false |
| 208 | + }, |
| 209 | + "id": "33a2c8a9be436745", |
| 210 | + "execution_count": null |
| 211 | + }, |
| 212 | + { |
| 213 | + "cell_type": "markdown", |
| 214 | + "source": [ |
| 215 | + "### 3.2. Generate and analyze grain boundaries\n" |
| 216 | + ], |
| 217 | + "metadata": { |
| 218 | + "collapsed": false |
| 219 | + }, |
| 220 | + "id": "79e9378bf5e144d4" |
| 221 | + }, |
| 222 | + { |
| 223 | + "cell_type": "code", |
| 224 | + "outputs": [], |
| 225 | + "source": [ |
| 226 | + "from utils.plot import plot_twisted_interface_solutions\n", |
| 227 | + "\n", |
| 228 | + "grain_boundaries = builder.get_materials(config)\n", |
| 229 | + "\n", |
| 230 | + "print(f\"\\nFound {len(grain_boundaries)} possible structures\")\n", |
| 231 | + "for i, gb in enumerate(grain_boundaries):\n", |
| 232 | + " actual_angle = gb.metadata.get(\"actual_twist_angle\", \"unknown\")\n", |
| 233 | + " print(f\"\\nGrain Boundary {i + 1}:\")\n", |
| 234 | + " print(f\"Actual twist angle: {actual_angle}°\")\n", |
| 235 | + " print(f\"Number of atoms: {len(gb.basis.elements.ids)}\")\n", |
| 236 | + "\n", |
| 237 | + "if len(grain_boundaries) > 0:\n", |
| 238 | + " plot_twisted_interface_solutions(grain_boundaries)" |
| 239 | + ], |
| 240 | + "metadata": { |
| 241 | + "collapsed": false |
| 242 | + }, |
| 243 | + "id": "d7007fe825463e5a", |
| 244 | + "execution_count": null |
| 245 | + }, |
| 246 | + { |
| 247 | + "cell_type": "markdown", |
| 248 | + "source": [ |
| 249 | + "## 4. Preview the selected grain boundary\n", |
| 250 | + "By default, the first grain boundary is selected. You can change the selection by changing the `selected_structure` index." |
| 251 | + ], |
| 252 | + "metadata": { |
| 253 | + "collapsed": false |
| 254 | + }, |
| 255 | + "id": "8b2f0574a20089a5" |
| 256 | + }, |
| 257 | + { |
| 258 | + "cell_type": "code", |
| 259 | + "outputs": [], |
| 260 | + "source": [ |
| 261 | + "selected_structure = grain_boundaries[0]\n", |
| 262 | + "actual_angle = selected_structure.metadata.get(\"build\").get(\"configuration\").get(\"actual_twist_angle\")\n", |
| 263 | + "print(f\"Target angle: {TARGET_TWIST_ANGLE}°\")\n", |
| 264 | + "print(f\"Actual angle: {actual_angle}°\")\n", |
| 265 | + "print(f\"Number of atoms: {len(selected_structure.basis.elements.ids)}\")\n", |
| 266 | + "\n", |
| 267 | + "visualize_materials(selected_structure, repetitions=[1, 1, 1])\n", |
| 268 | + "visualize_materials(selected_structure, repetitions=[1, 1, 1], rotation=\"-90x\")" |
| 269 | + ], |
| 270 | + "metadata": { |
| 271 | + "collapsed": false |
| 272 | + }, |
| 273 | + "id": "7f558a8e9d417cef", |
| 274 | + "execution_count": null |
| 275 | + }, |
| 276 | + { |
| 277 | + "cell_type": "markdown", |
| 278 | + "source": [ |
| 279 | + "### 5. Pass data to the outside runtime\n" |
| 280 | + ], |
| 281 | + "metadata": { |
| 282 | + "collapsed": false |
| 283 | + }, |
| 284 | + "id": "afcc004c5878b56f" |
| 285 | + }, |
| 286 | + { |
| 287 | + "cell_type": "code", |
| 288 | + "outputs": [], |
| 289 | + "source": [ |
| 290 | + "from utils.jupyterlite import set_materials\n", |
| 291 | + "\n", |
| 292 | + "set_materials(selected_structure)" |
| 293 | + ], |
| 294 | + "metadata": { |
| 295 | + "collapsed": false |
| 296 | + }, |
| 297 | + "id": "20e46167358d63", |
| 298 | + "execution_count": null |
| 299 | + } |
| 300 | + ], |
| 301 | + "metadata": { |
| 302 | + "kernelspec": { |
| 303 | + "display_name": "Python 3", |
| 304 | + "language": "python", |
| 305 | + "name": "python3" |
| 306 | + }, |
| 307 | + "language_info": { |
| 308 | + "codemirror_mode": { |
| 309 | + "name": "ipython", |
| 310 | + "version": 2 |
| 311 | + }, |
| 312 | + "file_extension": ".py", |
| 313 | + "mimetype": "text/x-python", |
| 314 | + "name": "python", |
| 315 | + "nbconvert_exporter": "python", |
| 316 | + "pygments_lexer": "ipython2", |
| 317 | + "version": "2.7.6" |
| 318 | + } |
| 319 | + }, |
| 320 | + "nbformat": 4, |
| 321 | + "nbformat_minor": 5 |
| 322 | +} |
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