# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/eccbfd0a-dddc-4912-834a-014efdb61d0c/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 Li2Ti4O9 / P-3c1 (165) / materials id 772151](https://mdr.nims.go.jp/datasets/07bf2971-bd68-49a2-9b89-cb3f26839dbb)

## 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: "P-3c1"  number: 165  Hall_symbol: "-P 3 2\"c"supercell_matrix:- [   2,   0,   0 ]- [   0,   2,   0 ]- [   0,   0,   1 ]primitive_cell:  lattice:  - [     5.014522520000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -2.507261260000000,     4.342703890000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    13.774935010000000 ] # c  points:  - symbol: Li # 1    coordinates: [  0.000000000000000,  0.000000000000000,  0.145403180000000 ]    mass: 6.941000  - symbol: Li # 2    coordinates: [  0.000000000000000,  0.000000000000000,  0.354596820000000 ]    mass: 6.941000  - symbol: Li # 3    coordinates: [  0.000000000000000,  0.000000000000000,  0.645403180000000 ]    mass: 6.941000  - symbol: Li # 4    coordinates: [  0.000000000000000,  0.000000000000000,  0.854596820000000 ]    mass: 6.941000  - symbol: Ti # 5    coordinates: [  0.333333330000000,  0.666666670000000,  0.024864310000000 ]    mass: 47.867000  - symbol: Ti # 6    coordinates: [  0.333333330000000,  0.666666670000000,  0.312302990000000 ]    mass: 47.867000  - symbol: Ti # 7    coordinates: [  0.333333330000000,  0.666666670000000,  0.524864310000000 ]    mass: 47.867000  - symbol: Ti # 8    coordinates: [  0.333333330000000,  0.666666670000000,  0.812302990000000 ]    mass: 47.867000  - symbol: Ti # 9    coordinates: [  0.666666670000000,  0.333333330000000,  0.187697010000000 ]    mass: 47.867000  - symbol: Ti # 10    coordinates: [  0.666666670000000,  0.333333330000000,  0.687697010000000 ]    mass: 47.867000  - symbol: Ti # 11    coordinates: [  0.666666670000000,  0.333333330000000,  0.475135690000000 ]    mass: 47.867000  - symbol: Ti # 12    coordinates: [  0.666666670000000,  0.333333330000000,  0.975135690000000 ]    mass: 47.867000  - symbol: O  # 13    coordinates: [  0.338584680000000,  0.338584680000000,  0.750000000000000 ]    mass: 15.999400  - symbol: O  # 14    coordinates: [  0.358398450000000,  0.383751730000000,  0.418191150000000 ]    mass: 15.999400  - symbol: O  # 15    coordinates: [  0.025353280000000,  0.383751730000000,  0.918191150000000 ]    mass: 15.999400  - symbol: O  # 16    coordinates: [  0.661415320000000,  0.661415320000000,  0.250000000000000 ]    mass: 15.999400  - symbol: O  # 17    coordinates: [  0.616248270000000,  0.641601550000000,  0.918191150000000 ]    mass: 15.999400  - symbol: O  # 18    coordinates: [  0.616248270000000,  0.974646720000000,  0.418191150000000 ]    mass: 15.999400  - symbol: O  # 19    coordinates: [  0.661415320000000,  0.000000000000000,  0.750000000000000 ]    mass: 15.999400  - symbol: O  # 20    coordinates: [  0.641601550000000,  0.025353280000000,  0.081808850000000 ]    mass: 15.999400  - symbol: O  # 21    coordinates: [  0.025353280000000,  0.641601550000000,  0.418191150000000 ]    mass: 15.999400  - symbol: O  # 22    coordinates: [  0.000000000000000,  0.338584680000000,  0.250000000000000 ]    mass: 15.999400  - symbol: O  # 23    coordinates: [  0.974646720000000,  0.358398450000000,  0.581808850000000 ]    mass: 15.999400  - symbol: O  # 24    coordinates: [  0.358398450000000,  0.974646720000000,  0.918191150000000 ]    mass: 15.999400  - symbol: O  # 25    coordinates: [  0.338584680000000,  0.000000000000000,  0.250000000000000 ]    mass: 15.999400  - symbol: O  # 26    coordinates: [  0.383751730000000,  0.025353280000000,  0.581808850000000 ]    mass: 15.999400  - symbol: O  # 27    coordinates: [  0.383751730000000,  0.358398450000000,  0.081808850000000 ]    mass: 15.999400  - symbol: O  # 28    coordinates: [  0.974646720000000,  0.616248270000000,  0.081808850000000 ]    mass: 15.999400  - symbol: O  # 29    coordinates: [  0.000000000000000,  0.661415320000000,  0.750000000000000 ]    mass: 15.999400  - symbol: O  # 30    coordinates: [  0.641601550000000,  0.616248270000000,  0.581808850000000 ]    mass: 15.999400  reciprocal_lattice: # without 2pi  - [     0.199420781542327,     0.115135641909953,     0.000000000000000 ] # a*  - [     0.000000000000000,     0.230271283819906,     0.000000000000000 ] # b*  - [     0.000000000000000,     0.000000000000000,     0.072595623810497 ] # c*unit_cell:  lattice:  - [     5.014522520000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -2.507261260000000,     4.342703890000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    13.774935010000000 ] # c  points:  - symbol: Li # 1    coordinates: [  0.000000000000000,  0.000000000000000,  0.145403180000000 ]    mass: 6.941000    reduced_to: 1  - symbol: Li # 2    coordinates: [  0.000000000000000,  0.000000000000000,  0.354596820000000 ]    mass: 6.941000    reduced_to: 2  - symbol: Li # 3    coordinates: [  0.000000000000000,  0.000000000000000,  0.645403180000000 ]    mass: 6.941000    reduced_to: 3  - symbol: Li # 4    coordinates: [  0.000000000000000,  0.000000000000000,  0.854596820000000 ]    mass: 6.941000    reduced_to: 4  - symbol: Ti # 5    coordinates: [  0.333333330000000,  0.666666670000000,  0.024864310000000 ]    mass: 47.867000    reduced_to: 5  - symbol: Ti # 6    coordinates: [  0.333333330000000,  0.666666670000000,  0.312302990000000 ]    mass: 47.867000    reduced_to: 6  - symbol: Ti # 7    coordinates: [  0.333333330000000,  0.666666670000000,  0.524864310000000 ]    mass: 47.867000    reduced_to: 7  - symbol: Ti # 8    coordinates: [  0.333333330000000,  0.666666670000000,  0.812302990000000 ]    mass: 47.867000    reduced_to: 8  - symbol: Ti # 9    coordinates: [  0.666666670000000,  0.333333330000000,  0.187697010000000 ]    mass: 47.867000    reduced_to: 9  - symbol: Ti # 10    coordinates: [  0.666666670000000,  0.333333330000000,  0.687697010000000 ]    mass: 47.867000    reduced_to: 10  - symbol: Ti # 11    coordinates: [  0.666666670000000,  0.333333330000000,  0.475135690000000 ]    mass: 47.867000    reduced_to: 11  - symbol: Ti # 12    coordinates: [  0.666666670000000,  0.333333330000000,  0.975135690000000 ]    mass: 47.867000    reduced_to: 12  - symbol: O  # 13    coordinates: [  0.338584680000000,  0.338584680000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 14    coordinates: [  0.358398450000000,  0.383751730000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 14  - symbol: O  # 15    coordinates: [  0.025353280000000,  0.383751730000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 15  - symbol: O  # 16    coordinates: [  0.661415320000000,  0.661415320000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 16  - symbol: O  # 17    coordinates: [  0.616248270000000,  0.641601550000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 18    coordinates: [  0.616248270000000,  0.974646720000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 18  - symbol: O  # 19    coordinates: [  0.661415320000000,  0.000000000000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 19  - symbol: O  # 20    coordinates: [  0.641601550000000,  0.025353280000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 20  - symbol: O  # 21    coordinates: [  0.025353280000000,  0.641601550000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 22    coordinates: [  0.000000000000000,  0.338584680000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 22  - symbol: O  # 23    coordinates: [  0.974646720000000,  0.358398450000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 23  - symbol: O  # 24    coordinates: [  0.358398450000000,  0.974646720000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 24  - symbol: O  # 25    coordinates: [  0.338584680000000,  0.000000000000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 26    coordinates: [  0.383751730000000,  0.025353280000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 26  - symbol: O  # 27    coordinates: [  0.383751730000000,  0.358398450000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 27  - symbol: O  # 28    coordinates: [  0.974646720000000,  0.616248270000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 28  - symbol: O  # 29    coordinates: [  0.000000000000000,  0.661415320000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 29  - symbol: O  # 30    coordinates: [  0.641601550000000,  0.616248270000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 30supercell:  lattice:  - [    10.029045040000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -5.014522520000000,     8.685407780000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    13.774935010000000 ] # c  points:  - symbol: Li # 1    coordinates: [  0.000000000000000,  0.000000000000000,  0.145403180000000 ]    mass: 6.941000    reduced_to: 1  - symbol: Li # 2    coordinates: [  0.500000000000000,  0.000000000000000,  0.145403180000000 ]    mass: 6.941000    reduced_to: 1  - symbol: Li # 3    coordinates: [  0.000000000000000,  0.500000000000000,  0.145403180000000 ]    mass: 6.941000    reduced_to: 1  - symbol: Li # 4    coordinates: [  0.500000000000000,  0.500000000000000,  0.145403180000000 ]    mass: 6.941000    reduced_to: 1  - symbol: Li # 5    coordinates: [  0.000000000000000,  0.000000000000000,  0.354596820000000 ]    mass: 6.941000    reduced_to: 5  - symbol: Li # 6    coordinates: [  0.500000000000000,  0.000000000000000,  0.354596820000000 ]    mass: 6.941000    reduced_to: 5  - symbol: Li # 7    coordinates: [  0.000000000000000,  0.500000000000000,  0.354596820000000 ]    mass: 6.941000    reduced_to: 5  - symbol: Li # 8    coordinates: [  0.500000000000000,  0.500000000000000,  0.354596820000000 ]    mass: 6.941000    reduced_to: 5  - symbol: Li # 9    coordinates: [  0.000000000000000,  0.000000000000000,  0.645403180000000 ]    mass: 6.941000    reduced_to: 9  - symbol: Li # 10    coordinates: [  0.500000000000000,  0.000000000000000,  0.645403180000000 ]    mass: 6.941000    reduced_to: 9  - symbol: Li # 11    coordinates: [  0.000000000000000,  0.500000000000000,  0.645403180000000 ]    mass: 6.941000    reduced_to: 9  - symbol: Li # 12    coordinates: [  0.500000000000000,  0.500000000000000,  0.645403180000000 ]    mass: 6.941000    reduced_to: 9  - symbol: Li # 13    coordinates: [  0.000000000000000,  0.000000000000000,  0.854596820000000 ]    mass: 6.941000    reduced_to: 13  - symbol: Li # 14    coordinates: [  0.500000000000000,  0.000000000000000,  0.854596820000000 ]    mass: 6.941000    reduced_to: 13  - symbol: Li # 15    coordinates: [  0.000000000000000,  0.500000000000000,  0.854596820000000 ]    mass: 6.941000    reduced_to: 13  - symbol: Li # 16    coordinates: [  0.500000000000000,  0.500000000000000,  0.854596820000000 ]    mass: 6.941000    reduced_to: 13  - symbol: Ti # 17    coordinates: [  0.166666665000000,  0.333333335000000,  0.024864310000000 ]    mass: 47.867000    reduced_to: 17  - symbol: Ti # 18    coordinates: [  0.666666665000000,  0.333333335000000,  0.024864310000000 ]    mass: 47.867000    reduced_to: 17  - symbol: Ti # 19    coordinates: [  0.166666665000000,  0.833333335000000,  0.024864310000000 ]    mass: 47.867000    reduced_to: 17  - symbol: Ti # 20    coordinates: [  0.666666665000000,  0.833333335000000,  0.024864310000000 ]    mass: 47.867000    reduced_to: 17  - symbol: Ti # 21    coordinates: [  0.166666665000000,  0.333333335000000,  0.312302990000000 ]    mass: 47.867000    reduced_to: 21  - symbol: Ti # 22    coordinates: [  0.666666665000000,  0.333333335000000,  0.312302990000000 ]    mass: 47.867000    reduced_to: 21  - symbol: Ti # 23    coordinates: [  0.166666665000000,  0.833333335000000,  0.312302990000000 ]    mass: 47.867000    reduced_to: 21  - symbol: Ti # 24    coordinates: [  0.666666665000000,  0.833333335000000,  0.312302990000000 ]    mass: 47.867000    reduced_to: 21  - symbol: Ti # 25    coordinates: [  0.166666665000000,  0.333333335000000,  0.524864310000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 26    coordinates: [  0.666666665000000,  0.333333335000000,  0.524864310000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 27    coordinates: [  0.166666665000000,  0.833333335000000,  0.524864310000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 28    coordinates: [  0.666666665000000,  0.833333335000000,  0.524864310000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 29    coordinates: [  0.166666665000000,  0.333333335000000,  0.812302990000000 ]    mass: 47.867000    reduced_to: 29  - symbol: Ti # 30    coordinates: [  0.666666665000000,  0.333333335000000,  0.812302990000000 ]    mass: 47.867000    reduced_to: 29  - symbol: Ti # 31    coordinates: [  0.166666665000000,  0.833333335000000,  0.812302990000000 ]    mass: 47.867000    reduced_to: 29  - symbol: Ti # 32    coordinates: [  0.666666665000000,  0.833333335000000,  0.812302990000000 ]    mass: 47.867000    reduced_to: 29  - symbol: Ti # 33    coordinates: [  0.333333335000000,  0.166666665000000,  0.187697010000000 ]    mass: 47.867000    reduced_to: 33  - symbol: Ti # 34    coordinates: [  0.833333335000000,  0.166666665000000,  0.187697010000000 ]    mass: 47.867000    reduced_to: 33  - symbol: Ti # 35    coordinates: [  0.333333335000000,  0.666666665000000,  0.187697010000000 ]    mass: 47.867000    reduced_to: 33  - symbol: Ti # 36    coordinates: [  0.833333335000000,  0.666666665000000,  0.187697010000000 ]    mass: 47.867000    reduced_to: 33  - symbol: Ti # 37    coordinates: [  0.333333335000000,  0.166666665000000,  0.687697010000000 ]    mass: 47.867000    reduced_to: 37  - symbol: Ti # 38    coordinates: [  0.833333335000000,  0.166666665000000,  0.687697010000000 ]    mass: 47.867000    reduced_to: 37  - symbol: Ti # 39    coordinates: [  0.333333335000000,  0.666666665000000,  0.687697010000000 ]    mass: 47.867000    reduced_to: 37  - symbol: Ti # 40    coordinates: [  0.833333335000000,  0.666666665000000,  0.687697010000000 ]    mass: 47.867000    reduced_to: 37  - symbol: Ti # 41    coordinates: [  0.333333335000000,  0.166666665000000,  0.475135690000000 ]    mass: 47.867000    reduced_to: 41  - symbol: Ti # 42    coordinates: [  0.833333335000000,  0.166666665000000,  0.475135690000000 ]    mass: 47.867000    reduced_to: 41  - symbol: Ti # 43    coordinates: [  0.333333335000000,  0.666666665000000,  0.475135690000000 ]    mass: 47.867000    reduced_to: 41  - symbol: Ti # 44    coordinates: [  0.833333335000000,  0.666666665000000,  0.475135690000000 ]    mass: 47.867000    reduced_to: 41  - symbol: Ti # 45    coordinates: [  0.333333335000000,  0.166666665000000,  0.975135690000000 ]    mass: 47.867000    reduced_to: 45  - symbol: Ti # 46    coordinates: [  0.833333335000000,  0.166666665000000,  0.975135690000000 ]    mass: 47.867000    reduced_to: 45  - symbol: Ti # 47    coordinates: [  0.333333335000000,  0.666666665000000,  0.975135690000000 ]    mass: 47.867000    reduced_to: 45  - symbol: Ti # 48    coordinates: [  0.833333335000000,  0.666666665000000,  0.975135690000000 ]    mass: 47.867000    reduced_to: 45  - symbol: O  # 49    coordinates: [  0.169292340000000,  0.169292340000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.669292340000000,  0.169292340000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 51    coordinates: [  0.169292340000000,  0.669292340000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 52    coordinates: [  0.669292340000000,  0.669292340000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 53    coordinates: [  0.179199225000000,  0.191875865000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 54    coordinates: [  0.679199225000000,  0.191875865000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 55    coordinates: [  0.179199225000000,  0.691875865000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 56    coordinates: [  0.679199225000000,  0.691875865000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 57    coordinates: [  0.012676640000000,  0.191875865000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.512676640000000,  0.191875865000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 59    coordinates: [  0.012676640000000,  0.691875865000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 60    coordinates: [  0.512676640000000,  0.691875865000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 61    coordinates: [  0.330707660000000,  0.330707660000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 62    coordinates: [  0.830707660000000,  0.330707660000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 63    coordinates: [  0.330707660000000,  0.830707660000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 64    coordinates: [  0.830707660000000,  0.830707660000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 65    coordinates: [  0.308124135000000,  0.320800775000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 66    coordinates: [  0.808124135000000,  0.320800775000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 67    coordinates: [  0.308124135000000,  0.820800775000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 68    coordinates: [  0.808124135000000,  0.820800775000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 69    coordinates: [  0.308124135000000,  0.487323360000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 69  - symbol: O  # 70    coordinates: [  0.808124135000000,  0.487323360000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 69  - symbol: O  # 71    coordinates: [  0.308124135000000,  0.987323360000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 69  - symbol: O  # 72    coordinates: [  0.808124135000000,  0.987323360000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 69  - symbol: O  # 73    coordinates: [  0.330707660000000,  0.000000000000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 74    coordinates: [  0.830707660000000,  0.000000000000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 75    coordinates: [  0.330707660000000,  0.500000000000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 76    coordinates: [  0.830707660000000,  0.500000000000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 77    coordinates: [  0.320800775000000,  0.012676640000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 77  - symbol: O  # 78    coordinates: [  0.820800775000000,  0.012676640000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 77  - symbol: O  # 79    coordinates: [  0.320800775000000,  0.512676640000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 77  - symbol: O  # 80    coordinates: [  0.820800775000000,  0.512676640000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 77  - symbol: O  # 81    coordinates: [  0.012676640000000,  0.320800775000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 81  - symbol: O  # 82    coordinates: [  0.512676640000000,  0.320800775000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 81  - symbol: O  # 83    coordinates: [  0.012676640000000,  0.820800775000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 81  - symbol: O  # 84    coordinates: [  0.512676640000000,  0.820800775000000,  0.418191150000000 ]    mass: 15.999400    reduced_to: 81  - symbol: O  # 85    coordinates: [  0.000000000000000,  0.169292340000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 85  - symbol: O  # 86    coordinates: [  0.500000000000000,  0.169292340000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 85  - symbol: O  # 87    coordinates: [  0.000000000000000,  0.669292340000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 85  - symbol: O  # 88    coordinates: [  0.500000000000000,  0.669292340000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 85  - symbol: O  # 89    coordinates: [  0.487323360000000,  0.179199225000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 89  - symbol: O  # 90    coordinates: [  0.987323360000000,  0.179199225000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 89  - symbol: O  # 91    coordinates: [  0.487323360000000,  0.679199225000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 89  - symbol: O  # 92    coordinates: [  0.987323360000000,  0.679199225000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 89  - symbol: O  # 93    coordinates: [  0.179199225000000,  0.487323360000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 93  - symbol: O  # 94    coordinates: [  0.679199225000000,  0.487323360000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 93  - symbol: O  # 95    coordinates: [  0.179199225000000,  0.987323360000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 93  - symbol: O  # 96    coordinates: [  0.679199225000000,  0.987323360000000,  0.918191150000000 ]    mass: 15.999400    reduced_to: 93  - symbol: O  # 97    coordinates: [  0.169292340000000,  0.000000000000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 97  - symbol: O  # 98    coordinates: [  0.669292340000000,  0.000000000000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 97  - symbol: O  # 99    coordinates: [  0.169292340000000,  0.500000000000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 97  - symbol: O  # 100    coordinates: [  0.669292340000000,  0.500000000000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 97  - symbol: O  # 101    coordinates: [  0.191875865000000,  0.012676640000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 101  - symbol: O  # 102    coordinates: [  0.691875865000000,  0.012676640000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 101  - symbol: O  # 103    coordinates: [  0.191875865000000,  0.512676640000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 101  - symbol: O  # 104    coordinates: [  0.691875865000000,  0.512676640000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 101  - symbol: O  # 105    coordinates: [  0.191875865000000,  0.179199225000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 105  - symbol: O  # 106    coordinates: [  0.691875865000000,  0.179199225000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 105  - symbol: O  # 107    coordinates: [  0.191875865000000,  0.679199225000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 105  - symbol: O  # 108    coordinates: [  0.691875865000000,  0.679199225000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 105  - symbol: O  # 109    coordinates: [  0.487323360000000,  0.308124135000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 109  - symbol: O  # 110    coordinates: [  0.987323360000000,  0.308124135000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 109  - symbol: O  # 111    coordinates: [  0.487323360000000,  0.808124135000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 109  - symbol: O  # 112    coordinates: [  0.987323360000000,  0.808124135000000,  0.081808850000000 ]    mass: 15.999400    reduced_to: 109  - symbol: O  # 113    coordinates: [  0.000000000000000,  0.330707660000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 113  - symbol: O  # 114    coordinates: [  0.500000000000000,  0.330707660000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 113  - symbol: O  # 115    coordinates: [  0.000000000000000,  0.830707660000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 113  - symbol: O  # 116    coordinates: [  0.500000000000000,  0.830707660000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 113  - symbol: O  # 117    coordinates: [  0.320800775000000,  0.308124135000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 117  - symbol: O  # 118    coordinates: [  0.820800775000000,  0.308124135000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 117  - symbol: O  # 119    coordinates: [  0.320800775000000,  0.808124135000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 117  - symbol: O  # 120    coordinates: [  0.820800775000000,  0.808124135000000,  0.581808850000000 ]    mass: 15.999400    reduced_to: 117born_effective_charge:- # 1 (Li)  - [  1.271482330000000, -0.025769510000000,  0.000000000000000 ]  - [  0.025769510000000,  1.271482330000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.111735060000000 ]- # 2 (Li)  - [  1.271482330000869,  0.025769509998494,  0.000000000000000 ]  - [ -0.025769510001506,  1.271482329999131,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.111735060000000 ]- # 3 (Li)  - [  1.271482330000869,  0.025769509998494,  0.000000000000000 ]  - [ -0.025769510001506,  1.271482329999131,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.111735060000000 ]- # 4 (Li)  - [  1.271482330000000, -0.025769510000000,  0.000000000000000 ]  - [  0.025769510000000,  1.271482330000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.111735060000000 ]- # 5 (Ti)  - [  5.670331630000000, -0.454316120000000,  0.000000000000000 ]  - [  0.454316110000000,  5.670331630000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.699955440000000 ]- # 6 (Ti)  - [  5.989097930000000,  0.606722700000000,  0.000000000000000 ]  - [ -0.606722700000000,  5.989097930000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  6.146715780000000 ]- # 7 (Ti)  - [  5.670331634345453,  0.454316112473454,  0.000000000000000 ]  - [ -0.454316117526545,  5.670331625654548,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.699955440000000 ]- # 8 (Ti)  - [  5.989097929979533, -0.606722699964550,  0.000000000000000 ]  - [  0.606722700035450,  5.989097930020467,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  6.146715780000000 ]- # 9 (Ti)  - [  5.989097929979533, -0.606722699964550,  0.000000000000000 ]  - [  0.606722700035450,  5.989097930020467,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  6.146715780000000 ]- # 10 (Ti)  - [  5.989097930000000,  0.606722700000000,  0.000000000000000 ]  - [ -0.606722700000000,  5.989097930000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  6.146715780000000 ]- # 11 (Ti)  - [  5.670331634345453,  0.454316112473454,  0.000000000000000 ]  - [ -0.454316117526545,  5.670331625654548,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.699955440000000 ]- # 12 (Ti)  - [  5.670331630000000, -0.454316120000000,  0.000000000000000 ]  - [  0.454316110000000,  5.670331630000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.699955440000000 ]- # 13 (O)  - [ -3.766051440000000,  1.220025970000000,  1.582219040000000 ]  - [  1.220025970000000, -2.357286800000000, -0.913494590000000 ]  - [  1.586467100000000, -0.915947210000000, -2.260572800000000 ]- # 14 (O)  - [ -3.599005290000000,  1.060684680000000, -0.819459650000000 ]  - [  1.193750090000000, -1.959933520000000,  0.309284690000000 ]  - [ -0.796444840000000,  0.204690290000000, -2.522515690000000 ]- # 15 (O)  - [ -3.599005290000000, -1.060684680000000,  0.819459650000000 ]  - [ -1.193750090000000, -1.959933520000000,  0.309284690000000 ]  - [  0.796444840000000,  0.204690290000000, -2.522515690000000 ]- # 16 (O)  - [ -3.766051440000000,  1.220025970000000,  1.582219040000000 ]  - [  1.220025970000000, -2.357286800000000, -0.913494590000000 ]  - [  1.586467100000000, -0.915947210000000, -2.260572800000000 ]- # 17 (O)  - [ -3.345900353495220,  1.339880293125566, -0.677578223531161 ]  - [  1.206814883312584, -2.213038456504780,  0.555030529303949 ]  - [ -0.575489411054909,  0.587396319126165, -2.522515690000000 ]- # 18 (O)  - [ -1.393502571504780,  0.079597498265066,  0.141881426468838 ]  - [  0.212662908188634, -4.165436238495220, -0.864315219303948 ]  - [  0.220955428945091, -0.792086609126165, -2.522515690000000 ]- # 19 (O)  - [ -1.652904476703248, -0.000000001855857,  0.000000001128834 ]  - [ -0.000000001950904, -4.470433763296752,  1.826989178044802 ]  - [  0.000000002416379,  1.831894415814709, -2.260572800000000 ]- # 20 (O)  - [ -1.393502571504780, -0.079597498265066, -0.141881426468838 ]  - [ -0.212662908188634, -4.165436238495220, -0.864315219303948 ]  - [ -0.220955428945091, -0.792086609126165, -2.522515690000000 ]- # 21 (O)  - [ -3.345900353495220, -1.339880293125566,  0.677578223531161 ]  - [ -1.206814883312584, -2.213038456504780,  0.555030529303949 ]  - [  0.575489411054909,  0.587396319126165, -2.522515690000000 ]- # 22 (O)  - [ -3.766051443296751, -1.220025968001573, -1.582219041128834 ]  - [ -1.220025968191667, -2.357286796703248, -0.913494588044802 ]  - [ -1.586467102416379, -0.915947205814709, -2.260572800000000 ]- # 23 (O)  - [ -3.345900353495220, -1.339880293125566,  0.677578223531161 ]  - [ -1.206814883312584, -2.213038456504780,  0.555030529303949 ]  - [  0.575489411054909,  0.587396319126165, -2.522515690000000 ]- # 24 (O)  - [ -1.393502571504780, -0.079597498265066, -0.141881426468838 ]  - [ -0.212662908188634, -4.165436238495220, -0.864315219303948 ]  - [ -0.220955428945091, -0.792086609126165, -2.522515690000000 ]- # 25 (O)  - [ -1.652904476703248, -0.000000001855857,  0.000000001128834 ]  - [ -0.000000001950904, -4.470433763296752,  1.826989178044802 ]  - [  0.000000002416379,  1.831894415814709, -2.260572800000000 ]- # 26 (O)  - [ -1.393502571504780,  0.079597498265066,  0.141881426468838 ]  - [  0.212662908188634, -4.165436238495220, -0.864315219303948 ]  - [  0.220955428945091, -0.792086609126165, -2.522515690000000 ]- # 27 (O)  - [ -3.345900353495220,  1.339880293125566, -0.677578223531161 ]  - [  1.206814883312584, -2.213038456504780,  0.555030529303949 ]  - [ -0.575489411054909,  0.587396319126165, -2.522515690000000 ]- # 28 (O)  - [ -3.599005290000000, -1.060684680000000,  0.819459650000000 ]  - [ -1.193750090000000, -1.959933520000000,  0.309284690000000 ]  - [  0.796444840000000,  0.204690290000000, -2.522515690000000 ]- # 29 (O)  - [ -3.766051443296751, -1.220025968001573, -1.582219041128834 ]  - [ -1.220025968191667, -2.357286796703248, -0.913494588044802 ]  - [ -1.586467102416379, -0.915947205814709, -2.260572800000000 ]- # 30 (O)  - [ -3.599005290000000,  1.060684680000000, -0.819459650000000 ]  - [  1.193750090000000, -1.959933520000000,  0.309284690000000 ]  - [ -0.796444840000000,  0.204690290000000, -2.522515690000000 ]dielectric_constant:  - [  6.177368140000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  6.177368140000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  5.576841090000000 ]displacements:- atom:    1  displacement:    [   0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [  -0.0316712600000000, -0.0001320500000000,  0.0001591500000000 ]  - [   0.0010622500000000, -0.0001134800000000,  0.0000067400000000 ]  - [   0.0000818100000000, -0.0004488500000000,  0.0000524800000000 ]  - [   0.0002777400000000,  0.0005638200000000, -0.0000164700000000 ]  - [  -0.0015370100000000,  0.0001661200000000, -0.0000263200000000 ]  - [   0.0005343300000000, -0.0000516700000000, -0.0000166000000000 ]  - [   0.0000481700000000, -0.0003343900000000, -0.0000352400000000 ]  - [   0.0000481600000000,  0.0002271700000000,  0.0000094200000000 ]  - [  -0.0001090200000000,  0.0000030500000000,  0.0000153100000000 ]  - [   0.0000981700000000, -0.0000013500000000,  0.0000280600000000 ]  - [   0.0000016800000000, -0.0000581600000000,  0.0000043600000000 ]  - [   0.0000013800000000,  0.0000512200000000,  0.0000159300000000 ]  - [  -0.0004311500000000, -0.0000020100000000, -0.0000108300000000 ]  - [   0.0003972000000000, -0.0000684900000000, -0.0000114800000000 ]  - [  -0.0000755300000000, -0.0002076700000000, -0.0000059300000000 ]  - [   0.0000360200000000,  0.0002714700000000, -0.0000270800000000 ]  - [  -0.0062772800000000,  0.0032378000000000, -0.0011045900000000 ]  - [   0.0023795200000000, -0.0004945200000000,  0.0000072700000000 ]  - [   0.0047581400000000, -0.0038788400000000, -0.0038982300000000 ]  - [   0.0053744900000000,  0.0092578300000000,  0.0049814800000000 ]  - [  -0.0040533400000000, -0.0029814900000000, -0.0012822100000000 ]  - [   0.0020326200000000,  0.0013670500000000, -0.0002331100000000 ]  - [   0.0036390300000000, -0.0064347100000000,  0.0038253100000000 ]  - [   0.0027928500000000,  0.0019503100000000, -0.0032305600000000 ]  - [  -0.0004126900000000,  0.0000863000000000, -0.0002199200000000 ]  - [   0.0003269000000000, -0.0000443700000000,  0.0000042900000000 ]  - [  -0.0000684000000000, -0.0002727200000000,  0.0006104300000000 ]  - [   0.0000709000000000,  0.0002053800000000, -0.0003752500000000 ]  - [  -0.0009724700000000, -0.0003649900000000, -0.0005301100000000 ]  - [   0.0009965400000000,  0.0001899800000000, -0.0002331300000000 ]  - [   0.0002283100000000, -0.0005412000000000, -0.0011649100000000 ]  - [  -0.0002237700000000,  0.0005863200000000,  0.0010080100000000 ]  - [   0.0110943400000000,  0.0113423800000000,  0.0022852500000000 ]  - [   0.0106849400000000, -0.0096538400000000, -0.0032966700000000 ]  - [   0.0021163300000000, -0.0003985600000000,  0.0002270700000000 ]  - [  -0.0072920000000000,  0.0010716300000000,  0.0017365600000000 ]  - [  -0.0000223700000000,  0.0002974300000000,  0.0001354100000000 ]  - [   0.0000477700000000, -0.0003438900000000,  0.0002656400000000 ]  - [   0.0004970400000000,  0.0001539900000000,  0.0002330400000000 ]  - [  -0.0005405900000000, -0.0000868900000000,  0.0002918600000000 ]  - [  -0.0003807600000000,  0.0009125700000000,  0.0005688700000000 ]  - [   0.0003754100000000, -0.0002983100000000, -0.0005277600000000 ]  - [   0.0011182800000000, -0.0001405600000000, -0.0000046100000000 ]  - [  -0.0010508900000000, -0.0003480100000000, -0.0000517500000000 ]  - [   0.0027896800000000,  0.0018016100000000, -0.0031372600000000 ]  - [   0.0020136300000000, -0.0052806800000000,  0.0038435400000000 ]  - [   0.0021359800000000,  0.0009561600000000, -0.0000037500000000 ]  - [  -0.0037158400000000, -0.0010616700000000, -0.0007236100000000 ]  - [   0.0001260300000000, -0.0000867000000000,  0.0000391700000000 ]  - [  -0.0002152400000000,  0.0000629900000000, -0.0000048800000000 ]  - [  -0.0003733200000000,  0.0001878300000000,  0.0002513900000000 ]  - [   0.0003612200000000, -0.0003539900000000, -0.0003177300000000 ]  - [   0.0006607000000000, -0.0002848400000000,  0.0001429900000000 ]  - [  -0.0003940800000000,  0.0001675000000000,  0.0000934900000000 ]  - [  -0.0009383600000000,  0.0006638300000000, -0.0009860900000000 ]  - [   0.0003996900000000, -0.0002917000000000,  0.0008778700000000 ]  - [   0.0017559700000000,  0.0010102500000000, -0.0005012700000000 ]  - [  -0.0013953700000000, -0.0003964900000000,  0.0006493400000000 ]  - [   0.0005646900000000,  0.0006406100000000,  0.0006853800000000 ]  - [  -0.0012977400000000, -0.0008831100000000, -0.0007484900000000 ]  - [   0.0024929300000000, -0.0019514900000000, -0.0018482200000000 ]  - [  -0.0019601200000000,  0.0016435000000000,  0.0011143500000000 ]  - 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