# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/ecf569b0-d7f5-4729-b02c-3965845bc5e6/download)

## Creator

[Atsushi Togo](https://orcid.org/0000-0001-8393-9766)

## Rights

Creative Commons Attribution 4.0 International[Creative Commons BY Attribution 4.0 International](https://creativecommons.org/licenses/by/4.0/)

## Other metadata

[Ab-initio phonon calculation for Mg2TiO4 / Imma (74) / materials id 33297](https://mdr.nims.go.jp/datasets/ec0377f0-9ca3-4fb6-9251-2e55e5cf6ab0)

## Fulltext

phonopy:  version: 2.17.1  frequency_unit_conversion_factor: 15.633302  symmetry_tolerance: 1.00000e-05  nac_unit_conversion_factor: 14.399652  configuration:    save_params: ".true."physical_unit:  atomic_mass: "AMU"  length: "angstrom"  force_constants: "eV/angstrom^2"space_group:  type: "Imma"  number: 74  Hall_symbol: "-I 2b 2"primitive_matrix:- [ -0.500000000000000,  0.500000000000000,  0.500000000000000 ]- [  0.500000000000000, -0.500000000000000,  0.500000000000000 ]- [  0.500000000000000,  0.500000000000000, -0.500000000000000 ]supercell_matrix:- [   2,   0,   0 ]- [   0,   2,   0 ]- [   0,   0,   1 ]primitive_cell:  lattice:  - [    -2.968651070000000,     2.982816435000000,     4.243778045000000 ] # a  - [     2.968651070000000,    -2.982816435000000,     4.243778045000000 ] # b  - [     2.968651070000000,     2.982816435000000,    -4.243778045000000 ] # c  points:  - symbol: Mg # 1    coordinates: [  0.885970230000000,  0.135970230000000,  0.750000000000000 ]    mass: 24.305000  - symbol: Mg # 2    coordinates: [  0.500000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 24.305000  - symbol: Mg # 3    coordinates: [  0.500000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 24.305000  - symbol: Mg # 4    coordinates: [  0.114029770000000,  0.864029770000000,  0.250000000000000 ]    mass: 24.305000  - symbol: O  # 5    coordinates: [  0.747955270000000,  0.273391940000000,  0.025436670000000 ]    mass: 15.999400  - symbol: O  # 6    coordinates: [  0.747955270000000,  0.722518600000000,  0.474563330000000 ]    mass: 15.999400  - symbol: O  # 7    coordinates: [  0.287740250000000,  0.273301110000000,  0.014439140000000 ]    mass: 15.999400  - symbol: O  # 8    coordinates: [  0.758861970000000,  0.273301110000000,  0.485560860000000 ]    mass: 15.999400  - symbol: O  # 9    coordinates: [  0.241138030000000,  0.726698890000000,  0.514439140000000 ]    mass: 15.999400  - symbol: O  # 10    coordinates: [  0.252044730000000,  0.277481400000000,  0.525436670000000 ]    mass: 15.999400  - symbol: O  # 11    coordinates: [  0.712259750000000,  0.726698890000000,  0.985560860000000 ]    mass: 15.999400  - symbol: O  # 12    coordinates: [  0.252044730000000,  0.726608060000000,  0.974563330000000 ]    mass: 15.999400  - symbol: Ti # 13    coordinates: [  0.000000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 47.867000  - symbol: Ti # 14    coordinates: [  0.500000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 47.867000  reciprocal_lattice: # without 2pi  - [    -0.000000000000000,     0.167626808721134,     0.117819545390480 ] # a*  - [     0.168426665246313,     0.000000000000000,     0.117819545390480 ] # b*  - [     0.168426665246313,     0.167626808721134,     0.000000000000000 ] # c*unit_cell:  lattice:  - [     5.937302140000000,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,     5.965632870000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     8.487556090000000 ] # c  points:  - symbol: Mg # 1    coordinates: [  0.500000000000000,  0.250000000000000,  0.635970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 2    coordinates: [  0.250000000000000,  0.250000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 2  - symbol: Mg # 3    coordinates: [  0.750000000000000,  0.250000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 3  - symbol: Mg # 4    coordinates: [  0.000000000000000,  0.250000000000000,  0.864029770000000 ]    mass: 24.305000    reduced_to: 4  - symbol: Mg # 5    coordinates: [  0.000000000000000,  0.750000000000000,  0.135970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 6    coordinates: [  0.750000000000000,  0.750000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 2  - symbol: Mg # 7    coordinates: [  0.250000000000000,  0.750000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 3  - symbol: Mg # 8    coordinates: [  0.500000000000000,  0.750000000000000,  0.364029770000000 ]    mass: 24.305000    reduced_to: 4  - symbol: O  # 9    coordinates: [  0.775436670000000,  0.250000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.224563330000000,  0.250000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 10  - symbol: O  # 11    coordinates: [  0.000000000000000,  0.014439140000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 11  - symbol: O  # 12    coordinates: [  0.000000000000000,  0.485560860000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 12  - symbol: O  # 13    coordinates: [  0.500000000000000,  0.014439140000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 14    coordinates: [  0.275436670000000,  0.250000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 14  - symbol: O  # 15    coordinates: [  0.500000000000000,  0.485560860000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 15  - symbol: O  # 16    coordinates: [  0.724563330000000,  0.250000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 16  - symbol: O  # 17    coordinates: [  0.275436670000000,  0.750000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 18    coordinates: [  0.724563330000000,  0.750000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 10  - symbol: O  # 19    coordinates: [  0.500000000000000,  0.514439140000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 11  - symbol: O  # 20    coordinates: [  0.500000000000000,  0.985560860000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 12  - symbol: O  # 21    coordinates: [  0.000000000000000,  0.514439140000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 22    coordinates: [  0.775436670000000,  0.750000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 14  - symbol: O  # 23    coordinates: [  0.000000000000000,  0.985560860000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 15  - symbol: O  # 24    coordinates: [  0.224563330000000,  0.750000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 16  - symbol: Ti # 25    coordinates: [  0.000000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 26    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 26  - symbol: Ti # 27    coordinates: [  0.500000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 28    coordinates: [  0.500000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 26supercell:  lattice:  - [    11.874604280000000,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,    11.931265740000001,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     8.487556090000000 ] # c  points:  - symbol: Mg # 1    coordinates: [  0.250000000000000,  0.125000000000000,  0.635970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 2    coordinates: [  0.750000000000000,  0.125000000000000,  0.635970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 3    coordinates: [  0.250000000000000,  0.625000000000000,  0.635970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 4    coordinates: [  0.750000000000000,  0.625000000000000,  0.635970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 5    coordinates: [  0.125000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 6    coordinates: [  0.625000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 7    coordinates: [  0.125000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 8    coordinates: [  0.625000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 9    coordinates: [  0.375000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 10    coordinates: [  0.875000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 11    coordinates: [  0.375000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 12    coordinates: [  0.875000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 13    coordinates: [  0.000000000000000,  0.125000000000000,  0.864029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: Mg # 14    coordinates: [  0.500000000000000,  0.125000000000000,  0.864029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: Mg # 15    coordinates: [  0.000000000000000,  0.625000000000000,  0.864029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: Mg # 16    coordinates: [  0.500000000000000,  0.625000000000000,  0.864029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: Mg # 17    coordinates: [  0.000000000000000,  0.375000000000000,  0.135970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 18    coordinates: [  0.500000000000000,  0.375000000000000,  0.135970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 19    coordinates: [  0.000000000000000,  0.875000000000000,  0.135970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 20    coordinates: [  0.500000000000000,  0.875000000000000,  0.135970230000000 ]    mass: 24.305000    reduced_to: 1  - symbol: Mg # 21    coordinates: [  0.375000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 22    coordinates: [  0.875000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 23    coordinates: [  0.375000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 24    coordinates: [  0.875000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 5  - symbol: Mg # 25    coordinates: [  0.125000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 26    coordinates: [  0.625000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 27    coordinates: [  0.125000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 28    coordinates: [  0.625000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 24.305000    reduced_to: 9  - symbol: Mg # 29    coordinates: [  0.250000000000000,  0.375000000000000,  0.364029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: Mg # 30    coordinates: [  0.750000000000000,  0.375000000000000,  0.364029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: Mg # 31    coordinates: [  0.250000000000000,  0.875000000000000,  0.364029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: Mg # 32    coordinates: [  0.750000000000000,  0.875000000000000,  0.364029770000000 ]    mass: 24.305000    reduced_to: 13  - symbol: O  # 33    coordinates: [  0.387718335000000,  0.125000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 34    coordinates: [  0.887718335000000,  0.125000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 35    coordinates: [  0.387718335000000,  0.625000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 36    coordinates: [  0.887718335000000,  0.625000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 37    coordinates: [  0.112281665000000,  0.125000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 38    coordinates: [  0.612281665000000,  0.125000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 39    coordinates: [  0.112281665000000,  0.625000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 40    coordinates: [  0.612281665000000,  0.625000000000000,  0.497955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 41    coordinates: [  0.000000000000000,  0.007219570000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.500000000000000,  0.007219570000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 43    coordinates: [  0.000000000000000,  0.507219570000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 44    coordinates: [  0.500000000000000,  0.507219570000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 45    coordinates: [  0.000000000000000,  0.242780430000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 46    coordinates: [  0.500000000000000,  0.242780430000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 47    coordinates: [  0.000000000000000,  0.742780430000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 48    coordinates: [  0.500000000000000,  0.742780430000000,  0.273301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 49    coordinates: [  0.250000000000000,  0.007219570000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.750000000000000,  0.007219570000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 51    coordinates: [  0.250000000000000,  0.507219570000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 52    coordinates: [  0.750000000000000,  0.507219570000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 53    coordinates: [  0.137718335000000,  0.125000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 54    coordinates: [  0.637718335000000,  0.125000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 55    coordinates: [  0.137718335000000,  0.625000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 56    coordinates: [  0.637718335000000,  0.625000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 57    coordinates: [  0.250000000000000,  0.242780430000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.750000000000000,  0.242780430000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 59    coordinates: [  0.250000000000000,  0.742780430000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 60    coordinates: [  0.750000000000000,  0.742780430000000,  0.226698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 61    coordinates: [  0.362281665000000,  0.125000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 62    coordinates: [  0.862281665000000,  0.125000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 63    coordinates: [  0.362281665000000,  0.625000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 64    coordinates: [  0.862281665000000,  0.625000000000000,  0.002044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 65    coordinates: [  0.137718335000000,  0.375000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 66    coordinates: [  0.637718335000000,  0.375000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 67    coordinates: [  0.137718335000000,  0.875000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 68    coordinates: [  0.637718335000000,  0.875000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 69    coordinates: [  0.362281665000000,  0.375000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 70    coordinates: [  0.862281665000000,  0.375000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 71    coordinates: [  0.362281665000000,  0.875000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 72    coordinates: [  0.862281665000000,  0.875000000000000,  0.997955270000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 73    coordinates: [  0.250000000000000,  0.257219570000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 74    coordinates: [  0.750000000000000,  0.257219570000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 75    coordinates: [  0.250000000000000,  0.757219570000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 76    coordinates: [  0.750000000000000,  0.757219570000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 77    coordinates: [  0.250000000000000,  0.492780430000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 78    coordinates: [  0.750000000000000,  0.492780430000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 79    coordinates: [  0.250000000000000,  0.992780430000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 80    coordinates: [  0.750000000000000,  0.992780430000000,  0.773301110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 81    coordinates: [  0.000000000000000,  0.257219570000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 82    coordinates: [  0.500000000000000,  0.257219570000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 83    coordinates: [  0.000000000000000,  0.757219570000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 84    coordinates: [  0.500000000000000,  0.757219570000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 85    coordinates: [  0.387718335000000,  0.375000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 86    coordinates: [  0.887718335000000,  0.375000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 87    coordinates: [  0.387718335000000,  0.875000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 88    coordinates: [  0.887718335000000,  0.875000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 89    coordinates: [  0.000000000000000,  0.492780430000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 90    coordinates: [  0.500000000000000,  0.492780430000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 91    coordinates: [  0.000000000000000,  0.992780430000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 92    coordinates: [  0.500000000000000,  0.992780430000000,  0.726698890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 93    coordinates: [  0.112281665000000,  0.375000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 94    coordinates: [  0.612281665000000,  0.375000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 95    coordinates: [  0.112281665000000,  0.875000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 96    coordinates: [  0.612281665000000,  0.875000000000000,  0.502044730000000 ]    mass: 15.999400    reduced_to: 61  - symbol: Ti # 97    coordinates: [  0.000000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 98    coordinates: [  0.500000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 99    coordinates: [  0.000000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 100    coordinates: [  0.500000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 101    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 102    coordinates: [  0.500000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 103    coordinates: [  0.000000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 104    coordinates: [  0.500000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 105    coordinates: [  0.250000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 106    coordinates: [  0.750000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 107    coordinates: [  0.250000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 108    coordinates: [  0.750000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 109    coordinates: [  0.250000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 110    coordinates: [  0.750000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 111    coordinates: [  0.250000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 112    coordinates: [  0.750000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 101born_effective_charge:- # 1 (Mg)  - [  2.542488110000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  1.892883740000000, -0.000000000000000 ]  - [ -0.000000000000000,  0.000000000000000,  2.421724310000000 ]- # 2 (Mg)  - [  1.978476690000000,  0.000000000000000, -0.726073280000000 ]  - [  0.000000000000000,  1.858562000000000, -0.000000000000000 ]  - [ -1.192466010000000, -0.000000000000000,  1.918522250000000 ]- # 3 (Mg)  - [  1.978476690000000,  0.000000000000000,  0.726073280000000 ]  - [  0.000000000000000,  1.858562000000000,  0.000000000000000 ]  - [  1.192466010000000,  0.000000000000000,  1.918522250000000 ]- # 4 (Mg)  - [  2.542488110000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  1.892883740000000, -0.000000000000000 ]  - [ -0.000000000000000,  0.000000000000000,  2.421724310000000 ]- # 5 (O)  - [ -2.249351220000000,  0.000000000000000,  0.042794550000000 ]  - [  0.000000000000000, -3.474449860000000, -0.000000000000000 ]  - [  0.021019810000000,  0.000000000000000, -1.523472920000000 ]- # 6 (O)  - [ -2.249351220000000,  0.000000000000000, -0.042794550000000 ]  - [  0.000000000000000, -3.474449860000000,  0.000000000000000 ]  - [ -0.021019810000000, -0.000000000000000, -1.523472920000000 ]- # 7 (O)  - [ -1.494613350000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -1.799064000000000,  0.041831620000000 ]  - [ -0.000000000000000,  0.030157610000000, -3.122340300000000 ]- # 8 (O)  - [ -1.494613350000000,  0.000000000000000, -0.000000000000000 ]  - [  0.000000000000000, -1.799064000000000, -0.041831620000000 ]  - [  0.000000000000000, -0.030157610000000, -3.122340300000000 ]- # 9 (O)  - [ -1.494613350000000,  0.000000000000000, -0.000000000000000 ]  - [  0.000000000000000, -1.799064000000000, -0.041831620000000 ]  - [  0.000000000000000, -0.030157610000000, -3.122340300000000 ]- # 10 (O)  - [ -2.249351220000000,  0.000000000000000, -0.042794550000000 ]  - [  0.000000000000000, -3.474449860000000,  0.000000000000000 ]  - [ -0.021019810000000, -0.000000000000000, -1.523472920000000 ]- # 11 (O)  - [ -1.494613350000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -1.799064000000000,  0.041831620000000 ]  - [ -0.000000000000000,  0.030157610000000, -3.122340300000000 ]- # 12 (O)  - [ -2.249351220000000,  0.000000000000000,  0.042794550000000 ]  - [  0.000000000000000, -3.474449860000000, -0.000000000000000 ]  - [  0.021019810000000,  0.000000000000000, -1.523472920000000 ]- # 13 (Ti)  - [  2.966964340000000, -0.000000000000000, -0.000000000000000 ]  - [ -0.000000000000000,  6.795582000000000,  0.389193400000000 ]  - [  0.000000000000000,  0.328322840000000,  4.951379870000000 ]- # 14 (Ti)  - [  2.966964340000000, -0.000000000000000,  0.000000000000000 ]  - [ -0.000000000000000,  6.795582000000000, -0.389193400000000 ]  - [ -0.000000000000000, -0.328322840000000,  4.951379870000000 ]dielectric_constant:  - [  3.590100060000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.918629820000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  4.349947180000000 ]displacements:- atom:    1  displacement:    [   0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [  -0.0970710200000000,  0.0000000000000000,  0.0020466200000000 ]  - 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