# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/3ff8bd39-5b40-430a-b69d-f11333594950/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 MgTiO3 / R-3 (148) / materials id 3771](https://mdr.nims.go.jp/datasets/0bea3df1-5de8-45eb-94ec-82cc33c1f37f)

## 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: "R-3"  number: 148  Hall_symbol: "-R 3"primitive_matrix:- [  0.666666666666667, -0.333333333333333, -0.333333333333333 ]- [  0.333333333333333,  0.333333333333333, -0.666666666666667 ]- [  0.333333333333333,  0.333333333333333,  0.333333333333333 ]supercell_matrix:- [   2,   0,   0 ]- [   0,   2,   0 ]- [   0,   0,   1 ]primitive_cell:  lattice:  - [     2.528406356666669,     1.459776089999999,     4.624172603333329 ] # a  - [    -2.528406353333331,     1.459776089999999,     4.624172603333329 ] # b  - [    -0.000000003333331,    -2.919552180000001,     4.624172603333329 ] # c  points:  - symbol: O  # 1    coordinates: [  0.952753630000000,  0.561852660000002,  0.225402110000000 ]    mass: 15.999400  - symbol: O  # 2    coordinates: [  0.225402110000000,  0.952753640000002,  0.561852650000000 ]    mass: 15.999400  - symbol: O  # 3    coordinates: [  0.561852650000000,  0.225402120000002,  0.952753630000000 ]    mass: 15.999400  - symbol: O  # 4    coordinates: [  0.047246370000000,  0.438147340000001,  0.774597890000000 ]    mass: 15.999400  - symbol: O  # 5    coordinates: [  0.438147350000000,  0.774597880000001,  0.047246370000000 ]    mass: 15.999400  - symbol: O  # 6    coordinates: [  0.774597890000000,  0.047246360000001,  0.438147350000000 ]    mass: 15.999400  - symbol: Mg # 7    coordinates: [  0.644948110000000,  0.644948110000002,  0.644948110000000 ]    mass: 24.305000  - symbol: Mg # 8    coordinates: [  0.355051890000000,  0.355051890000001,  0.355051890000000 ]    mass: 24.305000  - symbol: Ti # 9    coordinates: [  0.855696670000000,  0.855696680000002,  0.855696670000000 ]    mass: 47.867000  - symbol: Ti # 10    coordinates: [  0.144303330000000,  0.144303320000001,  0.144303330000000 ]    mass: 47.867000  reciprocal_lattice: # without 2pi  - [     0.197753022970867,     0.114172760794485,     0.072084967826039 ] # a*  - [    -0.197753022970867,     0.114172761246045,     0.072084967826039 ] # b*  - [    -0.000000000000000,    -0.228345522040530,     0.072084967826039 ] # c*unit_cell:  lattice:  - [     5.056812710000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -2.528406350000000,     4.379328270000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    13.872517810000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.372750830000000,  0.354600690000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.645399310000000,  0.018150150000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 2  - symbol: O  # 3    coordinates: [  0.981849850000000,  0.627249170000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 3  - symbol: O  # 4    coordinates: [  0.627249170000000,  0.645399310000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 4  - symbol: O  # 5    coordinates: [  0.018150150000000,  0.372750830000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 6    coordinates: [  0.354600690000000,  0.981849850000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 6  - symbol: O  # 7    coordinates: [  0.039417500000000,  0.687934020000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 8    coordinates: [  0.312065980000000,  0.351483480000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 2  - symbol: O  # 9    coordinates: [  0.648516520000000,  0.960582500000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 3  - symbol: O  # 10    coordinates: [  0.293915830000000,  0.978732650000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 4  - symbol: O  # 11    coordinates: [  0.684816810000000,  0.706084170000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 12    coordinates: [  0.021267350000000,  0.315183190000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 6  - symbol: O  # 13    coordinates: [  0.706084170000000,  0.021267350000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 14    coordinates: [  0.978732650000000,  0.684816810000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 2  - symbol: O  # 15    coordinates: [  0.315183190000000,  0.293915830000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 3  - symbol: O  # 16    coordinates: [  0.960582500000000,  0.312065980000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 4  - symbol: O  # 17    coordinates: [  0.351483480000000,  0.039417500000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 18    coordinates: [  0.687934020000000,  0.648516520000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 6  - symbol: Mg # 19    coordinates: [  0.000000000000000,  0.000000000000000,  0.644948110000000 ]    mass: 24.305000    reduced_to: 19  - symbol: Mg # 20    coordinates: [  0.000000000000000,  0.000000000000000,  0.355051890000000 ]    mass: 24.305000    reduced_to: 20  - symbol: Mg # 21    coordinates: [  0.666666670000000,  0.333333330000000,  0.978281440000000 ]    mass: 24.305000    reduced_to: 19  - symbol: Mg # 22    coordinates: [  0.666666670000000,  0.333333330000000,  0.688385220000000 ]    mass: 24.305000    reduced_to: 20  - symbol: Mg # 23    coordinates: [  0.333333330000000,  0.666666670000000,  0.311614780000000 ]    mass: 24.305000    reduced_to: 19  - symbol: Mg # 24    coordinates: [  0.333333330000000,  0.666666670000000,  0.021718560000000 ]    mass: 24.305000    reduced_to: 20  - symbol: Ti # 25    coordinates: [  0.333333330000000,  0.666666670000000,  0.522363340000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 26    coordinates: [  0.666666670000000,  0.333333330000000,  0.477636660000000 ]    mass: 47.867000    reduced_to: 26  - symbol: Ti # 27    coordinates: [  0.000000000000000,  0.000000000000000,  0.855696670000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 28    coordinates: [  0.333333330000000,  0.666666670000000,  0.810970000000000 ]    mass: 47.867000    reduced_to: 26  - symbol: Ti # 29    coordinates: [  0.666666670000000,  0.333333330000000,  0.189030000000000 ]    mass: 47.867000    reduced_to: 25  - symbol: Ti # 30    coordinates: [  0.000000000000000,  0.000000000000000,  0.144303330000000 ]    mass: 47.867000    reduced_to: 26supercell:  lattice:  - [    10.113625420000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -5.056812700000000,     8.758656540000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    13.872517810000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.186375415000000,  0.177300345000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.686375415000000,  0.177300345000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 3    coordinates: [  0.186375415000000,  0.677300345000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 4    coordinates: [  0.686375415000000,  0.677300345000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 5    coordinates: [  0.322699655000000,  0.009075075000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 6    coordinates: [  0.822699655000000,  0.009075075000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 7    coordinates: [  0.322699655000000,  0.509075075000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 8    coordinates: [  0.822699655000000,  0.509075075000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 9    coordinates: [  0.490924925000000,  0.313624585000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.990924925000000,  0.313624585000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 11    coordinates: [  0.490924925000000,  0.813624585000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 12    coordinates: [  0.990924925000000,  0.813624585000000,  0.580002800000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 13    coordinates: [  0.313624585000000,  0.322699655000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 14    coordinates: [  0.813624585000000,  0.322699655000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 15    coordinates: [  0.313624585000000,  0.822699655000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 16    coordinates: [  0.813624585000000,  0.822699655000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 17    coordinates: [  0.009075075000000,  0.186375415000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 18    coordinates: [  0.509075075000000,  0.186375415000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 19    coordinates: [  0.009075075000000,  0.686375415000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 20    coordinates: [  0.509075075000000,  0.686375415000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 21    coordinates: [  0.177300345000000,  0.490924925000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 22    coordinates: [  0.677300345000000,  0.490924925000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 23    coordinates: [  0.177300345000000,  0.990924925000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 24    coordinates: [  0.677300345000000,  0.990924925000000,  0.419997200000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 25    coordinates: [  0.019708750000000,  0.343967010000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 26    coordinates: [  0.519708750000000,  0.343967010000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 27    coordinates: [  0.019708750000000,  0.843967010000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 28    coordinates: [  0.519708750000000,  0.843967010000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 29    coordinates: [  0.156032990000000,  0.175741740000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 30    coordinates: [  0.656032990000000,  0.175741740000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 31    coordinates: [  0.156032990000000,  0.675741740000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 32    coordinates: [  0.656032990000000,  0.675741740000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 33    coordinates: [  0.324258260000000,  0.480291250000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 34    coordinates: [  0.824258260000000,  0.480291250000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 35    coordinates: [  0.324258260000000,  0.980291250000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 36    coordinates: [  0.824258260000000,  0.980291250000000,  0.913336130000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 37    coordinates: [  0.146957915000000,  0.489366325000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 38    coordinates: [  0.646957915000000,  0.489366325000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 39    coordinates: [  0.146957915000000,  0.989366325000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 40    coordinates: [  0.646957915000000,  0.989366325000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 41    coordinates: [  0.342408405000000,  0.353042085000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 42    coordinates: [  0.842408405000000,  0.353042085000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 43    coordinates: [  0.342408405000000,  0.853042085000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 44    coordinates: [  0.842408405000000,  0.853042085000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 45    coordinates: [  0.010633675000000,  0.157591595000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 46    coordinates: [  0.510633675000000,  0.157591595000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 47    coordinates: [  0.010633675000000,  0.657591595000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 48    coordinates: [  0.510633675000000,  0.657591595000000,  0.753330530000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 49    coordinates: [  0.353042085000000,  0.010633675000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 50    coordinates: [  0.853042085000000,  0.010633675000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 51    coordinates: [  0.353042085000000,  0.510633675000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 52    coordinates: [  0.853042085000000,  0.510633675000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 53    coordinates: [  0.489366325000000,  0.342408405000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 54    coordinates: [  0.989366325000000,  0.342408405000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 55    coordinates: [  0.489366325000000,  0.842408405000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 56    coordinates: [  0.989366325000000,  0.842408405000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 57    coordinates: [  0.157591595000000,  0.146957915000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 58    coordinates: [  0.657591595000000,  0.146957915000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 59    coordinates: [  0.157591595000000,  0.646957915000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 60    coordinates: [  0.657591595000000,  0.646957915000000,  0.246669470000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 61    coordinates: [  0.480291250000000,  0.156032990000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 62    coordinates: [  0.980291250000000,  0.156032990000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 63    coordinates: [  0.480291250000000,  0.656032990000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 64    coordinates: [  0.980291250000000,  0.656032990000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 65    coordinates: [  0.175741740000000,  0.019708750000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 66    coordinates: [  0.675741740000000,  0.019708750000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 67    coordinates: [  0.175741740000000,  0.519708750000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 68    coordinates: [  0.675741740000000,  0.519708750000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 69    coordinates: [  0.343967010000000,  0.324258260000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 70    coordinates: [  0.843967010000000,  0.324258260000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 71    coordinates: [  0.343967010000000,  0.824258260000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 72    coordinates: [  0.843967010000000,  0.824258260000000,  0.086663870000000 ]    mass: 15.999400    reduced_to: 21  - symbol: Mg # 73    coordinates: [  0.000000000000000,  0.000000000000000,  0.644948110000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 74    coordinates: [  0.500000000000000,  0.000000000000000,  0.644948110000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 75    coordinates: [  0.000000000000000,  0.500000000000000,  0.644948110000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 76    coordinates: [  0.500000000000000,  0.500000000000000,  0.644948110000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 77    coordinates: [  0.000000000000000,  0.000000000000000,  0.355051890000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 78    coordinates: [  0.500000000000000,  0.000000000000000,  0.355051890000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 79    coordinates: [  0.000000000000000,  0.500000000000000,  0.355051890000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 80    coordinates: [  0.500000000000000,  0.500000000000000,  0.355051890000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 81    coordinates: [  0.333333335000000,  0.166666665000000,  0.978281440000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 82    coordinates: [  0.833333335000000,  0.166666665000000,  0.978281440000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 83    coordinates: [  0.333333335000000,  0.666666665000000,  0.978281440000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 84    coordinates: [  0.833333335000000,  0.666666665000000,  0.978281440000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 85    coordinates: [  0.333333335000000,  0.166666665000000,  0.688385220000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 86    coordinates: [  0.833333335000000,  0.166666665000000,  0.688385220000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 87    coordinates: [  0.333333335000000,  0.666666665000000,  0.688385220000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 88    coordinates: [  0.833333335000000,  0.666666665000000,  0.688385220000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 89    coordinates: [  0.166666665000000,  0.333333335000000,  0.311614780000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 90    coordinates: [  0.666666665000000,  0.333333335000000,  0.311614780000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 91    coordinates: [  0.166666665000000,  0.833333335000000,  0.311614780000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 92    coordinates: [  0.666666665000000,  0.833333335000000,  0.311614780000000 ]    mass: 24.305000    reduced_to: 73  - symbol: Mg # 93    coordinates: [  0.166666665000000,  0.333333335000000,  0.021718560000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 94    coordinates: [  0.666666665000000,  0.333333335000000,  0.021718560000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 95    coordinates: [  0.166666665000000,  0.833333335000000,  0.021718560000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Mg # 96    coordinates: [  0.666666665000000,  0.833333335000000,  0.021718560000000 ]    mass: 24.305000    reduced_to: 77  - symbol: Ti # 97    coordinates: [  0.166666665000000,  0.333333335000000,  0.522363340000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 98    coordinates: [  0.666666665000000,  0.333333335000000,  0.522363340000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 99    coordinates: [  0.166666665000000,  0.833333335000000,  0.522363340000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 100    coordinates: [  0.666666665000000,  0.833333335000000,  0.522363340000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 101    coordinates: [  0.333333335000000,  0.166666665000000,  0.477636660000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 102    coordinates: [  0.833333335000000,  0.166666665000000,  0.477636660000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 103    coordinates: [  0.333333335000000,  0.666666665000000,  0.477636660000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 104    coordinates: [  0.833333335000000,  0.666666665000000,  0.477636660000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 105    coordinates: [  0.000000000000000,  0.000000000000000,  0.855696670000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 106    coordinates: [  0.500000000000000,  0.000000000000000,  0.855696670000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 107    coordinates: [  0.000000000000000,  0.500000000000000,  0.855696670000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 108    coordinates: [  0.500000000000000,  0.500000000000000,  0.855696670000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 109    coordinates: [  0.166666665000000,  0.333333335000000,  0.810970000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 110    coordinates: [  0.666666665000000,  0.333333335000000,  0.810970000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 111    coordinates: [  0.166666665000000,  0.833333335000000,  0.810970000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 112    coordinates: [  0.666666665000000,  0.833333335000000,  0.810970000000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 113    coordinates: [  0.333333335000000,  0.166666665000000,  0.189030000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 114    coordinates: [  0.833333335000000,  0.166666665000000,  0.189030000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 115    coordinates: [  0.333333335000000,  0.666666665000000,  0.189030000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 116    coordinates: [  0.833333335000000,  0.666666665000000,  0.189030000000000 ]    mass: 47.867000    reduced_to: 97  - symbol: Ti # 117    coordinates: [  0.000000000000000,  0.000000000000000,  0.144303330000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 118    coordinates: [  0.500000000000000,  0.000000000000000,  0.144303330000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 119    coordinates: [  0.000000000000000,  0.500000000000000,  0.144303330000000 ]    mass: 47.867000    reduced_to: 101  - symbol: Ti # 120    coordinates: [  0.500000000000000,  0.500000000000000,  0.144303330000000 ]    mass: 47.867000    reduced_to: 101born_effective_charge:- # 1 (O)  - [ -2.791788580000000,  0.940345440000000,  0.003500270000000 ]  - [  0.987644720000000, -2.437239000000000,  0.532692540000000 ]  - [  0.040921620000000,  0.541093740000000, -1.859633580000000 ]- # 2 (O)  - [ -1.691032166632801, -0.352122707467160, -0.463075407151044 ]  - [ -0.304823429414058, -3.537995413367200, -0.263314946733852 ]  - [ -0.489061734525551, -0.235107708043234, -1.859633580000000 ]- # 3 (O)  - [ -3.360720623448204, -0.659171652575131,  0.459575137151044 ]  - [ -0.611872370574757, -1.868306956551796, -0.269377593266148 ]  - [  0.448140114525553, -0.305986031956767, -1.859633580000000 ]- # 4 (O)  - [ -2.791788580000000,  0.940345440000000,  0.003500270000000 ]  - [  0.987644720000000, -2.437239000000001,  0.532692540000000 ]  - [  0.040921620000000,  0.541093740000000, -1.859633580000000 ]- # 5 (O)  - [ -3.360720623448204, -0.659171652575131,  0.459575137151044 ]  - [ -0.611872370574757, -1.868306956551796, -0.269377593266148 ]  - [  0.448140114525553, -0.305986031956767, -1.859633580000000 ]- # 6 (O)  - [ -1.691032166632801, -0.352122707467160, -0.463075407151044 ]  - [ -0.304823429414058, -3.537995413367200, -0.263314946733852 ]  - [ -0.489061734525551, -0.235107708043234, -1.859633580000000 ]- # 7 (Mg)  - [  2.278534950000000,  0.031489170000000, -0.000000000000000 ]  - [ -0.031489170000000,  2.278534950000000, -0.000000000000000 ]  - [ -0.000000000000000,  0.000000000000000,  2.716614570000000 ]- # 8 (Mg)  - [  2.278534950000000,  0.031489170000000, -0.000000000000000 ]  - [ -0.031489170000000,  2.278534950000000, -0.000000000000000 ]  - [ -0.000000000000000,  0.000000000000000,  2.716614570000000 ]- # 9 (Ti)  - [  5.565006420000000,  0.039459750000000,  0.000000000000000 ]  - [ -0.039459750000000,  5.565006420000000,  0.000000000000000 ]  - [  0.000000000000000, -0.000000000000000,  2.862286170000000 ]- # 10 (Ti)  - [  5.565006420000000,  0.039459750000000,  0.000000000000000 ]  - [ -0.039459750000000,  5.565006420000000,  0.000000000000000 ]  - [  0.000000000000000, -0.000000000000000,  2.862286170000000 ]dielectric_constant:  - [  5.236679160000000, -0.000001920000000,  0.000000000000000 ]  - [  0.000001930000000,  5.236679150000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.944838310000000 ]displacements:- atom:    1  displacement:    [   0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [  -0.1277944700000000,  0.0335039400000000, -0.0092537100000000 ]  - [   0.0061913700000000, -0.0020299200000000,  0.0007751500000000 ]  - [   0.0033583500000000, -0.0048556100000000,  0.0005311700000000 ]  - [  -0.0019174000000000,  0.0017159100000000, -0.0003047600000000 ]  - [   0.0157450500000000, -0.0198299600000000, -0.0024368400000000 ]  - [   0.0060036200000000,  0.0050082900000000,  0.0015280300000000 ]  - [  -0.0065757100000000, -0.0100047500000000, -0.0040226000000000 ]  - [   0.0024938400000000,  0.0026256700000000,  0.0007468400000000 ]  - [   0.0261364600000000,  0.0138559300000000, -0.0023475000000000 ]  - [   0.0171920600000000, -0.0037663300000000, -0.0007318800000000 ]  - [   0.0011805100000000, -0.0018579800000000, -0.0010147100000000 ]  - [  -0.0032604700000000,  0.0003440900000000,  0.0012453700000000 ]  - [  -0.0119641000000000,  0.0090760700000000, -0.0060865200000000 ]  - [   0.0076693200000000, -0.0016786300000000,  0.0001301000000000 ]  - [   0.0038625600000000, -0.0048406900000000,  0.0000034700000000 ]  - [  -0.0018052400000000,  0.0016039200000000,  0.0000477000000000 ]  - [   0.0080572000000000,  0.0020062200000000,  0.0087584300000000 ]  - [   0.0175478800000000,  0.0035792200000000, -0.0033207100000000 ]  - [  -0.0001280500000000, -0.0018539800000000, -0.0009763200000000 ]  - [  -0.0010756900000000,  0.0000349900000000,  0.0011538600000000 ]  - [   0.0032003100000000, -0.0117916000000000,  0.0082991100000000 ]  - [   0.0003531600000000,  0.0021474600000000, -0.0004829300000000 ]  - [  -0.0024114500000000, -0.0080657900000000, -0.0056416400000000 ]  - [   0.0020409100000000,  0.0017561100000000,  0.0012097900000000 ]  - [   0.0002327200000000, -0.0004546400000000, -0.0002775800000000 ]  - [  -0.0001705600000000,  0.0000938600000000,  0.0000607800000000 ]  - [  -0.0007006800000000,  0.0002709300000000,  0.0001844500000000 ]  - [   0.0003853200000000, -0.0003602300000000,  0.0000175700000000 ]  - [  -0.0005002300000000,  0.0001175900000000, -0.0004244100000000 ]  - [   0.0004089900000000,  0.0001224500000000,  0.0002611500000000 ]  - [   0.0001141500000000, -0.0005344700000000,  0.0001137000000000 ]  - [   0.0000456100000000,  0.0004047700000000, -0.0000519800000000 ]  - [  -0.0007575600000000, -0.0000846600000000,  0.0000202400000000 ]  - [   0.0004622100000000,  0.0001821200000000,  0.0000553200000000 ]  - [   0.0000525600000000,  0.0000476800000000,  0.0002318600000000 ]  - [  -0.0000828300000000,  0.0002971000000000, -0.0003509300000000 ]  - [   0.0004031600000000, -0.0003746500000000, -0.0015267300000000 ]  - [  -0.0000319300000000,  0.0004714900000000,  0.0008155900000000 ]  - [  -0.0016373800000000, -0.0024955600000000,  0.0035975700000000 ]  - [   0.0009002900000000, -0.0000191800000000, -0.0003631500000000 ]  - [  -0.0031360200000000,  0.0027272000000000,  0.0038033400000000 ]  - [   0.0017964700000000, -0.0002520100000000, -0.0010048200000000 ]  - [   0.0005967000000000, -0.0005819700000000,  0.0005487800000000 ]  - [  -0.0000596600000000,  0.0005829100000000, -0.0005486900000000 ]  - [   0.0005112800000000, -0.0006639300000000, -0.0079428900000000 ]  - [   0.0016843100000000,  0.0004323600000000,  0.0019568700000000 ]  - [   0.0001202200000000, -0.0007092000000000,  0.0002010200000000 ]  - [  -0.0006529800000000, -0.0001472400000000, -0.0010361900000000 ]  - [   0.0002622800000000, -0.0001866000000000, -0.0012736100000000 ]  - [  -0.0001338300000000,  0.0000932100000000,  0.0007772300000000 ]  - [  -0.0006646200000000,  0.0002524900000000,  0.0002949900000000 ]  - [   0.0004152400000000, -0.0001926900000000, -0.0001499300000000 ]  - [  -0.0003698800000000,  0.0003389300000000, -0.0009748700000000 ]  - [   0.0008986100000000,  0.0003167100000000,  0.0014196400000000 ]  - [   0.0003438900000000, -0.0002125300000000,  0.0003574600000000 ]  - [  -0.0004745300000000, -0.0003168000000000, -0.0007075700000000 ]  - [  -0.0009970300000000,  0.0001286600000000, -0.0001036600000000 ]  - [   0.0011072900000000, -0.0000752100000000, -0.0007073300000000 ]  - [   0.0001342700000000, -0.0004960300000000,  0.0008485700000000 ]  - [  -0.0003164300000000,  0.0002548000000000,  0.0000942700000000 ]  - [   0.0002183100000000,  0.0000280100000000, -0.0001292700000000 ]  - [  -0.0001362000000000,  0.0002336800000000, -0.0000929600000000 ]  - [  -0.0001695500000000,  0.0002246600000000, -0.0000063000000000 ]  - [   0.0002865400000000, -0.0001102600000000,  0.0000378300000000 ]  - [  -0.0002318500000000, -0.0001506000000000, -0.0001644200000000 ]  - [   0.0004351400000000,  0.0000062900000000, -0.0000179200000000 ]  - [   0.0000190700000000, -0.0001033200000000,  0.0000805500000000 ]  - [   0.0000259200000000, -0.0000271700000000, -0.0001048400000000 ]  - [  -0.0002504500000000,  0.0001395500000000, -0.0002347400000000 ]  - [   0.0001325700000000,  0.0000916500000000,  0.0001618100000000 ]  - [  -0.0000479700000000, -0.0002835500000000,  0.0000140800000000 ]  - [  -0.0001931400000000, -0.0000118500000000, -0.0000981200000000 ]  - [   0.0153000600000000,  0.0102567100000000, -0.0057622300000000 ]  - [  -0.0034291000000000,  0.0009864500000000, -0.0014671000000000 ]  - [  -0.0026933800000000,  0.0034566600000000,  0.0017777000000000 ]  - [   0.0033187400000000, -0.0043354100000000, -0.0003859300000000 ]  - [   0.0032885000000000, -0.0018941100000000, -0.0008972300000000 ]  - [  -0.0022554500000000,  0.0027452600000000,  0.0011617600000000 ]  - [  -0.0027272500000000,  0.0007363500000000, -0.0011806200000000 ]  - [   0.0007567100000000, -0.0018278200000000,  0.0002857300000000 ]  - [   0.0001960000000000, -0.0000417900000000,  0.0000205500000000 ]  - [  -0.0002229100000000, -0.0000426600000000,  0.0002112800000000 ]  - [   0.0000081500000000,  0.0001428600000000,  0.0000620400000000 ]  - [  -0.0000476300000000, -0.0000195700000000,  0.0000527400000000 ]  - [   0.0081704200000000, -0.0002934000000000, -0.0007417700000000 ]  - [  -0.0038503200000000, -0.0014223200000000,  0.0026721600000000 ]  - [  -0.0013710500000000,  0.0020527400000000,  0.0015007200000000 ]  - [   0.0006763800000000, -0.0005195800000000, -0.0005577600000000 ]  - [   0.0029065500000000, -0.0003414000000000, -0.0017567600000000 ]  - [  -0.0016299600000000, -0.0014614700000000,  0.0018930300000000 ]  - [  -0.0010087100000000,  0.0017442500000000,  0.0013538700000000 ]  - [   0.0004518400000000, -0.0002488900000000, -0.0007224400000000 ]  - [   0.0001349000000000,  0.0000018400000000,  0.0001108300000000 ]  - [  -0.0001164200000000, -0.0000949700000000, -0.0000364600000000 ]  - [   0.0000646700000000,  0.0001330400000000, -0.0000408100000000 ]  - [  -0.0000574300000000, -0.0000687800000000,  0.0000123700000000 ]  - [   0.0435990700000000, -0.0243983500000000,  0.0113258400000000 ]  - [  -0.0149968300000000, -0.0042056100000000,  0.0014124800000000 ]  - [   0.0019829400000000,  0.0140571600000000,  0.0024420800000000 ]  - [   0.0000660400000000, -0.0043768100000000, -0.0011548600000000 ]  - [   0.0001928500000000, -0.0045808600000000,  0.0040094200000000 ]  - [  -0.0145829800000000, -0.0024612800000000, -0.0035416000000000 ]  - [  -0.0014000800000000,  0.0112787300000000,  0.0006781500000000 ]  - [   0.0022291600000000, -0.0022399600000000,  0.0000179700000000 ]  - [   0.0025903400000000, -0.0021638800000000,  0.0009637100000000 ]  - [  -0.0011766200000000,  0.0005599200000000, -0.0005661000000000 ]  - [  -0.0011701700000000,  0.0009187100000000,  0.0005154300000000 ]  - [   0.0005332900000000, -0.0011104700000000, -0.0003807100000000 ]  - [   0.0044278400000000,  0.0029113500000000,  0.0024657700000000 ]  - [  -0.0017521100000000, -0.0010608500000000, -0.0009837500000000 ]  - [  -0.0003651700000000,  0.0016667900000000, -0.0013668200000000 ]  - [  -0.0004283600000000, -0.0000052300000000,  0.0006868700000000 ]  - [   0.0007257000000000, -0.0001126000000000,  0.0011937400000000 ]  - [  -0.0010743200000000, -0.0005898600000000, -0.0005873000000000 ]  - [   0.0004333800000000,  0.0002642800000000, -0.0006401500000000 ]  - [   0.0000593300000000,  0.0002912200000000,  0.0003455300000000 ]  - [   0.0008191600000000, -0.0001662800000000,  0.0000627300000000 ]  - [  -0.0008117700000000,  0.0004982900000000,  0.0003187300000000 ]  - [  -0.0006476700000000,  0.0002810400000000, -0.0004230000000000 ]  - [   0.0005058600000000, -0.0005967800000000,  0.0001694900000000 ]- atom:    1  displacement:    [  -0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [   0.1266261700000000, -0.0345911900000000,  0.0103251100000000 ]  - [  -0.0061442100000000,  0.0019163900000000, -0.0007358100000000 ]  - [  -0.0033130900000000,  0.0047477500000000, -0.0004964100000000 ]  - [   0.0019460600000000, -0.0018092700000000,  0.0003371900000000 ]  - [  -0.0154791000000000,  0.0196432000000000,  0.0024710800000000 ]  - [  -0.0059572300000000, -0.0049560200000000, -0.0015010300000000 ]  - [   0.0066764800000000,  0.0100367200000000,  0.0040971900000000 ]  - [  -0.0024305100000000, -0.0025138900000000, -0.0007169700000000 ]  - [  -0.0258837900000000, -0.0136061300000000,  0.0023858600000000 ]  - [  -0.0175028900000000,  0.0038714800000000,  0.0007556600000000 ]  - [  -0.0012737800000000,  0.0018561000000000,  0.0010451100000000 ]  - [   0.0031334000000000, -0.0002902200000000, -0.0011867300000000 ]  - [   0.0118126700000000, -0.0089858500000000,  0.0061071600000000 ]  - [  -0.0076774100000000,  0.0017681100000000, -0.0001785300000000 ]  - [  -0.0038828900000000,  0.0049178300000000, -0.0000314100000000 ]  - [   0.0017730500000000, -0.0015068100000000, -0.0000743300000000 ]  - [  -0.0079502400000000, -0.0020222800000000, -0.0088343800000000 ]  - [  -0.0173000800000000, -0.0035560900000000,  0.0032905400000000 ]  - [   0.0002207000000000,  0.0018431400000000,  0.0009441900000000 ]  - [   0.0011589100000000, -0.0000428700000000, -0.0011752400000000 ]  - [  -0.0032910200000000,  0.0117189900000000, -0.0083189300000000 ]  - [  -0.0004058500000000, -0.0021943000000000,  0.0004584700000000 ]  - [   0.0022785400000000,  0.0079133500000000,  0.0055978200000000 ]  - [  -0.0020876800000000, -0.0018399600000000, -0.0012312300000000 ]  - [  -0.0002926700000000,  0.0003025700000000,  0.0002949700000000 ]  - [   0.0000935900000000, -0.0002352900000000, -0.0000415200000000 ]  - [   0.0006319100000000, -0.0004099500000000, -0.0001690400000000 ]  - [  -0.0004513600000000,  0.0002142600000000,  0.0000027500000000 ]  - [   0.0006469800000000, -0.0001030500000000,  0.0004309400000000 ]  - [  -0.0002623000000000, -0.0001131400000000, -0.0002452600000000 ]  - 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