# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/3e5989eb-c174-40d7-9357-3741a4e5f889/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 KTi2(PO4)3 / R-3c (167) / materials id 541238](https://mdr.nims.go.jp/datasets/f801acb5-3110-4a48-a1f3-dc958a74a8a4)

## Fulltext

phonopy:  version: 2.17.1  frequency_unit_conversion_factor: 15.633302  symmetry_tolerance: 1.00000e-05  configuration:    save_params: ".true."physical_unit:  atomic_mass: "AMU"  length: "angstrom"  force_constants: "eV/angstrom^2"space_group:  type: "R-3c"  number: 167  Hall_symbol: "-R 3 2\"c"primitive_matrix:- [  0.666666666666667, -0.333333333333333, -0.333333333333333 ]- [  0.333333333333333,  0.333333333333333, -0.666666666666667 ]- [  0.333333333333333,  0.333333333333333,  0.333333333333333 ]supercell_matrix:- [   1,   0,   0 ]- [   0,   1,   0 ]- [   0,   0,   1 ]primitive_cell:  lattice:  - [     4.214728073333337,     2.433374389999997,     7.729672753333325 ] # a  - [    -4.214728076666662,     2.433374389999997,     7.729672753333325 ] # b  - [     0.000000003333338,    -4.866748780000002,     7.729672753333325 ] # c  points:  - symbol: Ti # 1    coordinates: [  0.148986430000000,  0.148986430000000,  0.148986430000000 ]    mass: 47.867000  - symbol: Ti # 2    coordinates: [  0.351013560000000,  0.351013570000000,  0.351013560000000 ]    mass: 47.867000  - symbol: Ti # 3    coordinates: [  0.851013570000000,  0.851013560000000,  0.851013570000000 ]    mass: 47.867000  - symbol: Ti # 4    coordinates: [  0.648986430000000,  0.648986440000001,  0.648986430000000 ]    mass: 47.867000  - symbol: K  # 5    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 39.098300  - symbol: K  # 6    coordinates: [  0.500000000000000,  0.500000010000000,  0.500000000000000 ]    mass: 39.098300  - symbol: P  # 7    coordinates: [  0.968992040000000,  0.531007960000001,  0.250000000000000 ]    mass: 30.973762  - symbol: P  # 8    coordinates: [  0.250000000000000,  0.968992040000001,  0.531007960000000 ]    mass: 30.973762  - symbol: P  # 9    coordinates: [  0.531007960000000,  0.250000000000001,  0.968992040000000 ]    mass: 30.973762  - symbol: P  # 10    coordinates: [  0.031007960000000,  0.468992030000000,  0.750000000000000 ]    mass: 30.973762  - symbol: P  # 11    coordinates: [  0.750000000000000,  0.031007960000000,  0.468992030000000 ]    mass: 30.973762  - symbol: P  # 12    coordinates: [  0.468992030000000,  0.750000000000000,  0.031007960000000 ]    mass: 30.973762  - symbol: O  # 13    coordinates: [  0.510477190000000,  0.248784000000001,  0.148988990000000 ]    mass: 15.999400  - symbol: O  # 14    coordinates: [  0.148988990000000,  0.510477190000001,  0.248784000000000 ]    mass: 15.999400  - symbol: O  # 15    coordinates: [  0.248784000000000,  0.148988990000001,  0.510477190000000 ]    mass: 15.999400  - symbol: O  # 16    coordinates: [  0.251216000000000,  0.989522810000001,  0.351011010000000 ]    mass: 15.999400  - symbol: O  # 17    coordinates: [  0.351011010000000,  0.251216000000001,  0.989522810000000 ]    mass: 15.999400  - symbol: O  # 18    coordinates: [  0.989522810000000,  0.351011010000000,  0.251216000000000 ]    mass: 15.999400  - symbol: O  # 19    coordinates: [  0.489522800000000,  0.751216000000000,  0.851011010000000 ]    mass: 15.999400  - symbol: O  # 20    coordinates: [  0.851011010000000,  0.489522800000000,  0.751216000000000 ]    mass: 15.999400  - symbol: O  # 21    coordinates: [  0.751216000000000,  0.851011010000000,  0.489522800000000 ]    mass: 15.999400  - symbol: O  # 22    coordinates: [  0.748784010000000,  0.010477200000000,  0.648988990000000 ]    mass: 15.999400  - symbol: O  # 23    coordinates: [  0.648988990000000,  0.748784010000000,  0.010477200000000 ]    mass: 15.999400  - symbol: O  # 24    coordinates: [  0.010477200000000,  0.648988990000000,  0.748784010000000 ]    mass: 15.999400  - symbol: O  # 25    coordinates: [  0.703243530000000,  0.068687060000001,  0.932522090000000 ]    mass: 15.999400  - symbol: O  # 26    coordinates: [  0.932522090000000,  0.703243530000001,  0.068687060000000 ]    mass: 15.999400  - symbol: O  # 27    coordinates: [  0.068687060000000,  0.932522090000001,  0.703243530000000 ]    mass: 15.999400  - symbol: O  # 28    coordinates: [  0.431312940000000,  0.796756470000001,  0.567477910000000 ]    mass: 15.999400  - symbol: O  # 29    coordinates: [  0.567477910000000,  0.431312940000001,  0.796756470000000 ]    mass: 15.999400  - symbol: O  # 30    coordinates: [  0.796756470000000,  0.567477910000001,  0.431312940000000 ]    mass: 15.999400  - symbol: O  # 31    coordinates: [  0.296756470000000,  0.931312940000000,  0.067477900000000 ]    mass: 15.999400  - symbol: O  # 32    coordinates: [  0.067477900000000,  0.296756470000000,  0.931312940000000 ]    mass: 15.999400  - symbol: O  # 33    coordinates: [  0.931312940000000,  0.067477900000000,  0.296756470000000 ]    mass: 15.999400  - symbol: O  # 34    coordinates: [  0.568687050000000,  0.203243530000000,  0.432522090000000 ]    mass: 15.999400  - symbol: O  # 35    coordinates: [  0.432522090000000,  0.568687050000000,  0.203243530000000 ]    mass: 15.999400  - symbol: O  # 36    coordinates: [  0.203243530000000,  0.432522090000000,  0.568687050000000 ]    mass: 15.999400  reciprocal_lattice: # without 2pi  - [     0.118631615397869,     0.068491995127961,     0.043123860992639 ] # a*  - [    -0.118631615397869,     0.068491994965455,     0.043123860992639 ] # b*  - [     0.000000000000000,    -0.136983990093416,     0.043123860992639 ] # c*unit_cell:  lattice:  - [     8.429456150000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -4.214728080000000,     7.300123170000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    23.189018260000001 ] # c  points:  - symbol: Ti # 1    coordinates: [  0.000000000000000,  0.000000000000000,  0.148986430000000 ]    mass: 47.867000    reduced_to: 1  - symbol: Ti # 2    coordinates: [  0.333333330000000,  0.666666670000000,  0.017680230000000 ]    mass: 47.867000    reduced_to: 2  - symbol: Ti # 3    coordinates: [  0.666666670000000,  0.333333330000000,  0.184346900000000 ]    mass: 47.867000    reduced_to: 3  - symbol: Ti # 4    coordinates: [  0.333333330000000,  0.666666670000000,  0.315653100000000 ]    mass: 47.867000    reduced_to: 4  - symbol: Ti # 5    coordinates: [  0.666666670000000,  0.333333330000000,  0.482319770000000 ]    mass: 47.867000    reduced_to: 1  - symbol: Ti # 6    coordinates: [  0.000000000000000,  0.000000000000000,  0.351013570000000 ]    mass: 47.867000    reduced_to: 2  - symbol: Ti # 7    coordinates: [  0.333333330000000,  0.666666670000000,  0.517680230000000 ]    mass: 47.867000    reduced_to: 3  - symbol: Ti # 8    coordinates: [  0.000000000000000,  0.000000000000000,  0.648986430000000 ]    mass: 47.867000    reduced_to: 4  - symbol: Ti # 9    coordinates: [  0.333333330000000,  0.666666670000000,  0.815653100000000 ]    mass: 47.867000    reduced_to: 1  - symbol: Ti # 10    coordinates: [  0.666666670000000,  0.333333330000000,  0.684346900000000 ]    mass: 47.867000    reduced_to: 2  - symbol: Ti # 11    coordinates: [  0.000000000000000,  0.000000000000000,  0.851013570000000 ]    mass: 47.867000    reduced_to: 3  - symbol: Ti # 12    coordinates: [  0.666666670000000,  0.333333330000000,  0.982319770000000 ]    mass: 47.867000    reduced_to: 4  - symbol: K  # 13    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 39.098300    reduced_to: 13  - symbol: K  # 14    coordinates: [  0.333333330000000,  0.666666670000000,  0.166666670000000 ]    mass: 39.098300    reduced_to: 14  - symbol: K  # 15    coordinates: [  0.666666670000000,  0.333333330000000,  0.333333330000000 ]    mass: 39.098300    reduced_to: 13  - symbol: K  # 16    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 39.098300    reduced_to: 14  - symbol: K  # 17    coordinates: [  0.333333330000000,  0.666666670000000,  0.666666670000000 ]    mass: 39.098300    reduced_to: 13  - symbol: K  # 18    coordinates: [  0.666666670000000,  0.333333330000000,  0.833333330000000 ]    mass: 39.098300    reduced_to: 14  - symbol: P  # 19    coordinates: [  0.718992040000000,  0.000000000000000,  0.250000000000000 ]    mass: 30.973762    reduced_to: 19  - symbol: P  # 20    coordinates: [  0.000000000000000,  0.718992040000000,  0.250000000000000 ]    mass: 30.973762    reduced_to: 20  - symbol: P  # 21    coordinates: [  0.281007960000000,  0.281007960000000,  0.250000000000000 ]    mass: 30.973762    reduced_to: 21  - symbol: P  # 22    coordinates: [  0.947674630000000,  0.333333330000000,  0.083333330000000 ]    mass: 30.973762    reduced_to: 22  - symbol: P  # 23    coordinates: [  0.666666670000000,  0.614341300000000,  0.083333330000000 ]    mass: 30.973762    reduced_to: 23  - symbol: P  # 24    coordinates: [  0.385658700000000,  0.052325370000000,  0.083333330000000 ]    mass: 30.973762    reduced_to: 24  - symbol: P  # 25    coordinates: [  0.385658700000000,  0.333333330000000,  0.583333330000000 ]    mass: 30.973762    reduced_to: 19  - symbol: P  # 26    coordinates: [  0.666666670000000,  0.052325370000000,  0.583333330000000 ]    mass: 30.973762    reduced_to: 20  - symbol: P  # 27    coordinates: [  0.947674630000000,  0.614341300000000,  0.583333330000000 ]    mass: 30.973762    reduced_to: 21  - symbol: P  # 28    coordinates: [  0.614341300000000,  0.666666670000000,  0.416666670000000 ]    mass: 30.973762    reduced_to: 22  - symbol: P  # 29    coordinates: [  0.333333330000000,  0.947674630000000,  0.416666670000000 ]    mass: 30.973762    reduced_to: 23  - symbol: P  # 30    coordinates: [  0.052325370000000,  0.385658700000000,  0.416666670000000 ]    mass: 30.973762    reduced_to: 24  - symbol: P  # 31    coordinates: [  0.052325370000000,  0.666666670000000,  0.916666670000000 ]    mass: 30.973762    reduced_to: 19  - symbol: P  # 32    coordinates: [  0.333333330000000,  0.385658700000000,  0.916666670000000 ]    mass: 30.973762    reduced_to: 20  - symbol: P  # 33    coordinates: [  0.614341300000000,  0.947674630000000,  0.916666670000000 ]    mass: 30.973762    reduced_to: 21  - symbol: P  # 34    coordinates: [  0.281007960000000,  0.000000000000000,  0.750000000000000 ]    mass: 30.973762    reduced_to: 22  - symbol: P  # 35    coordinates: [  0.000000000000000,  0.281007960000000,  0.750000000000000 ]    mass: 30.973762    reduced_to: 23  - symbol: P  # 36    coordinates: [  0.718992040000000,  0.718992040000000,  0.750000000000000 ]    mass: 30.973762    reduced_to: 24  - symbol: O  # 37    coordinates: [  0.207727130000000,  0.153761070000000,  0.302750060000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 38    coordinates: [  0.846238930000000,  0.053966060000000,  0.302750060000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 39    coordinates: [  0.946033940000000,  0.792272870000000,  0.302750060000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 40    coordinates: [  0.053966060000000,  0.846238930000000,  0.197249940000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 41    coordinates: [  0.153761070000000,  0.207727130000000,  0.197249940000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.792272870000000,  0.946033940000000,  0.197249940000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 43    coordinates: [  0.458939530000000,  0.179572260000000,  0.030583270000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 44    coordinates: [  0.820427740000000,  0.279367270000000,  0.030583270000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 45    coordinates: [  0.720632730000000,  0.541060470000000,  0.030583270000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 46    coordinates: [  0.612700610000000,  0.487094410000000,  0.136083400000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 47    coordinates: [  0.512905590000000,  0.125606200000000,  0.136083400000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 48    coordinates: [  0.874393800000000,  0.387299390000000,  0.136083400000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 49    coordinates: [  0.468425970000000,  0.302295470000000,  0.234817560000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.697704530000000,  0.166130500000000,  0.234817560000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 51    coordinates: [  0.833869500000000,  0.531574030000000,  0.234817560000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 52    coordinates: [  0.166130500000000,  0.697704530000000,  0.265182440000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 53    coordinates: [  0.302295470000000,  0.468425970000000,  0.265182440000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 54    coordinates: [  0.531574030000000,  0.833869500000000,  0.265182440000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 55    coordinates: [  0.198240700000000,  0.031037870000000,  0.098515770000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 56    coordinates: [  0.968962130000000,  0.167202830000000,  0.098515770000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 57    coordinates: [  0.832797170000000,  0.801759300000000,  0.098515770000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.500536160000000,  0.635628800000000,  0.068150890000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 59    coordinates: [  0.364371200000000,  0.864907360000000,  0.068150890000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 60    coordinates: [  0.135092640000000,  0.499463840000000,  0.068150890000000 ]    mass: 15.999400    reduced_to: 60  - symbol: O  # 61    coordinates: [  0.874393800000000,  0.487094410000000,  0.636083400000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 62    coordinates: [  0.512905590000000,  0.387299390000000,  0.636083400000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 63    coordinates: [  0.612700610000000,  0.125606200000000,  0.636083400000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 64    coordinates: [  0.720632730000000,  0.179572260000000,  0.530583270000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 65    coordinates: [  0.820427740000000,  0.541060470000000,  0.530583270000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 66    coordinates: [  0.458939530000000,  0.279367270000000,  0.530583270000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 67    coordinates: [  0.125606200000000,  0.512905590000000,  0.363916600000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 68    coordinates: [  0.487094410000000,  0.612700610000000,  0.363916600000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 69    coordinates: [  0.387299390000000,  0.874393800000000,  0.363916600000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 70    coordinates: [  0.279367270000000,  0.820427740000000,  0.469416730000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 71    coordinates: [  0.179572260000000,  0.458939530000000,  0.469416730000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 72    coordinates: [  0.541060470000000,  0.720632730000000,  0.469416730000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 73    coordinates: [  0.135092640000000,  0.635628800000000,  0.568150890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 74    coordinates: [  0.364371200000000,  0.499463840000000,  0.568150890000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 75    coordinates: [  0.500536160000000,  0.864907360000000,  0.568150890000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 76    coordinates: [  0.832797170000000,  0.031037870000000,  0.598515770000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 77    coordinates: [  0.968962130000000,  0.801759300000000,  0.598515770000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 78    coordinates: [  0.198240700000000,  0.167202830000000,  0.598515770000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 79    coordinates: [  0.864907360000000,  0.364371200000000,  0.431849110000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 80    coordinates: [  0.635628800000000,  0.500536160000000,  0.431849110000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 81    coordinates: [  0.499463840000000,  0.135092640000000,  0.431849110000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 82    coordinates: [  0.167202830000000,  0.968962130000000,  0.401484230000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 83    coordinates: [  0.031037870000000,  0.198240700000000,  0.401484230000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 84    coordinates: [  0.801759300000000,  0.832797170000000,  0.401484230000000 ]    mass: 15.999400    reduced_to: 60  - symbol: O  # 85    coordinates: [  0.541060470000000,  0.820427740000000,  0.969416730000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 86    coordinates: [  0.179572260000000,  0.720632730000000,  0.969416730000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 87    coordinates: [  0.279367270000000,  0.458939530000000,  0.969416730000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 88    coordinates: [  0.387299390000000,  0.512905590000000,  0.863916600000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 89    coordinates: [  0.487094410000000,  0.874393800000000,  0.863916600000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 90    coordinates: [  0.125606200000000,  0.612700610000000,  0.863916600000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 91    coordinates: [  0.792272870000000,  0.846238930000000,  0.697249940000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 92    coordinates: [  0.153761070000000,  0.946033940000000,  0.697249940000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 93    coordinates: [  0.053966060000000,  0.207727130000000,  0.697249940000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 94    coordinates: [  0.946033940000000,  0.153761070000000,  0.802750060000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 95    coordinates: [  0.846238930000000,  0.792272870000000,  0.802750060000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 96    coordinates: [  0.207727130000000,  0.053966060000000,  0.802750060000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 97    coordinates: [  0.801759300000000,  0.968962130000000,  0.901484230000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 98    coordinates: [  0.031037870000000,  0.832797170000000,  0.901484230000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 99    coordinates: [  0.167202830000000,  0.198240700000000,  0.901484230000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 100    coordinates: [  0.499463840000000,  0.364371200000000,  0.931849110000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 101    coordinates: [  0.635628800000000,  0.135092640000000,  0.931849110000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 102    coordinates: [  0.864907360000000,  0.500536160000000,  0.931849110000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 103    coordinates: [  0.531574030000000,  0.697704530000000,  0.765182440000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 104    coordinates: [  0.302295470000000,  0.833869500000000,  0.765182440000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 105    coordinates: [  0.166130500000000,  0.468425970000000,  0.765182440000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 106    coordinates: [  0.833869500000000,  0.302295470000000,  0.734817560000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 107    coordinates: [  0.697704530000000,  0.531574030000000,  0.734817560000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 108    coordinates: [  0.468425970000000,  0.166130500000000,  0.734817560000000 ]    mass: 15.999400    reduced_to: 60supercell:  lattice:  - [     8.429456150000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -4.214728080000000,     7.300123170000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    23.189018260000001 ] # c  points:  - symbol: Ti # 1    coordinates: [  0.000000000000000,  0.000000000000000,  0.148986430000000 ]    mass: 47.867000    reduced_to: 1  - symbol: Ti # 2    coordinates: [  0.333333330000000,  0.666666670000000,  0.017680230000000 ]    mass: 47.867000    reduced_to: 2  - symbol: Ti # 3    coordinates: [  0.666666670000000,  0.333333330000000,  0.184346900000000 ]    mass: 47.867000    reduced_to: 3  - symbol: Ti # 4    coordinates: [  0.333333330000000,  0.666666670000000,  0.315653100000000 ]    mass: 47.867000    reduced_to: 4  - symbol: Ti # 5    coordinates: [  0.666666670000000,  0.333333330000000,  0.482319770000000 ]    mass: 47.867000    reduced_to: 1  - symbol: Ti # 6    coordinates: [  0.000000000000000,  0.000000000000000,  0.351013570000000 ]    mass: 47.867000    reduced_to: 2  - symbol: Ti # 7    coordinates: [  0.333333330000000,  0.666666670000000,  0.517680230000000 ]    mass: 47.867000    reduced_to: 3  - symbol: Ti # 8    coordinates: [  0.000000000000000,  0.000000000000000,  0.648986430000000 ]    mass: 47.867000    reduced_to: 4  - symbol: Ti # 9    coordinates: [  0.333333330000000,  0.666666670000000,  0.815653100000000 ]    mass: 47.867000    reduced_to: 1  - symbol: Ti # 10    coordinates: [  0.666666670000000,  0.333333330000000,  0.684346900000000 ]    mass: 47.867000    reduced_to: 2  - symbol: Ti # 11    coordinates: [  0.000000000000000,  0.000000000000000,  0.851013570000000 ]    mass: 47.867000    reduced_to: 3  - symbol: Ti # 12    coordinates: [  0.666666670000000,  0.333333330000000,  0.982319770000000 ]    mass: 47.867000    reduced_to: 4  - symbol: K  # 13    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 39.098300    reduced_to: 13  - symbol: K  # 14    coordinates: [  0.333333330000000,  0.666666670000000,  0.166666670000000 ]    mass: 39.098300    reduced_to: 14  - symbol: K  # 15    coordinates: [  0.666666670000000,  0.333333330000000,  0.333333330000000 ]    mass: 39.098300    reduced_to: 13  - symbol: K  # 16    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 39.098300    reduced_to: 14  - symbol: K  # 17    coordinates: [  0.333333330000000,  0.666666670000000,  0.666666670000000 ]    mass: 39.098300    reduced_to: 13  - symbol: K  # 18    coordinates: [  0.666666670000000,  0.333333330000000,  0.833333330000000 ]    mass: 39.098300    reduced_to: 14  - symbol: P  # 19    coordinates: [  0.718992040000000,  0.000000000000000,  0.250000000000000 ]    mass: 30.973762    reduced_to: 19  - symbol: P  # 20    coordinates: [  0.000000000000000,  0.718992040000000,  0.250000000000000 ]    mass: 30.973762    reduced_to: 20  - symbol: P  # 21    coordinates: [  0.281007960000000,  0.281007960000000,  0.250000000000000 ]    mass: 30.973762    reduced_to: 21  - symbol: P  # 22    coordinates: [  0.947674630000000,  0.333333330000000,  0.083333330000000 ]    mass: 30.973762    reduced_to: 22  - symbol: P  # 23    coordinates: [  0.666666670000000,  0.614341300000000,  0.083333330000000 ]    mass: 30.973762    reduced_to: 23  - symbol: P  # 24    coordinates: [  0.385658700000000,  0.052325370000000,  0.083333330000000 ]    mass: 30.973762    reduced_to: 24  - symbol: P  # 25    coordinates: [  0.385658700000000,  0.333333330000000,  0.583333330000000 ]    mass: 30.973762    reduced_to: 19  - symbol: P  # 26    coordinates: [  0.666666670000000,  0.052325370000000,  0.583333330000000 ]    mass: 30.973762    reduced_to: 20  - symbol: P  # 27    coordinates: [  0.947674630000000,  0.614341300000000,  0.583333330000000 ]    mass: 30.973762    reduced_to: 21  - symbol: P  # 28    coordinates: [  0.614341300000000,  0.666666670000000,  0.416666670000000 ]    mass: 30.973762    reduced_to: 22  - symbol: P  # 29    coordinates: [  0.333333330000000,  0.947674630000000,  0.416666670000000 ]    mass: 30.973762    reduced_to: 23  - symbol: P  # 30    coordinates: [  0.052325370000000,  0.385658700000000,  0.416666670000000 ]    mass: 30.973762    reduced_to: 24  - symbol: P  # 31    coordinates: [  0.052325370000000,  0.666666670000000,  0.916666670000000 ]    mass: 30.973762    reduced_to: 19  - symbol: P  # 32    coordinates: [  0.333333330000000,  0.385658700000000,  0.916666670000000 ]    mass: 30.973762    reduced_to: 20  - symbol: P  # 33    coordinates: [  0.614341300000000,  0.947674630000000,  0.916666670000000 ]    mass: 30.973762    reduced_to: 21  - symbol: P  # 34    coordinates: [  0.281007960000000,  0.000000000000000,  0.750000000000000 ]    mass: 30.973762    reduced_to: 22  - symbol: P  # 35    coordinates: [  0.000000000000000,  0.281007960000000,  0.750000000000000 ]    mass: 30.973762    reduced_to: 23  - symbol: P  # 36    coordinates: [  0.718992040000000,  0.718992040000000,  0.750000000000000 ]    mass: 30.973762    reduced_to: 24  - symbol: O  # 37    coordinates: [  0.207727130000000,  0.153761070000000,  0.302750060000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 38    coordinates: [  0.846238930000000,  0.053966060000000,  0.302750060000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 39    coordinates: [  0.946033940000000,  0.792272870000000,  0.302750060000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 40    coordinates: [  0.053966060000000,  0.846238930000000,  0.197249940000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 41    coordinates: [  0.153761070000000,  0.207727130000000,  0.197249940000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.792272870000000,  0.946033940000000,  0.197249940000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 43    coordinates: [  0.458939530000000,  0.179572260000000,  0.030583270000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 44    coordinates: [  0.820427740000000,  0.279367270000000,  0.030583270000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 45    coordinates: [  0.720632730000000,  0.541060470000000,  0.030583270000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 46    coordinates: [  0.612700610000000,  0.487094410000000,  0.136083400000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 47    coordinates: [  0.512905590000000,  0.125606200000000,  0.136083400000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 48    coordinates: [  0.874393800000000,  0.387299390000000,  0.136083400000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 49    coordinates: [  0.468425970000000,  0.302295470000000,  0.234817560000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.697704530000000,  0.166130500000000,  0.234817560000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 51    coordinates: [  0.833869500000000,  0.531574030000000,  0.234817560000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 52    coordinates: [  0.166130500000000,  0.697704530000000,  0.265182440000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 53    coordinates: [  0.302295470000000,  0.468425970000000,  0.265182440000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 54    coordinates: [  0.531574030000000,  0.833869500000000,  0.265182440000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 55    coordinates: [  0.198240700000000,  0.031037870000000,  0.098515770000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 56    coordinates: [  0.968962130000000,  0.167202830000000,  0.098515770000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 57    coordinates: [  0.832797170000000,  0.801759300000000,  0.098515770000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.500536160000000,  0.635628800000000,  0.068150890000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 59    coordinates: [  0.364371200000000,  0.864907360000000,  0.068150890000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 60    coordinates: [  0.135092640000000,  0.499463840000000,  0.068150890000000 ]    mass: 15.999400    reduced_to: 60  - symbol: O  # 61    coordinates: [  0.874393800000000,  0.487094410000000,  0.636083400000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 62    coordinates: [  0.512905590000000,  0.387299390000000,  0.636083400000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 63    coordinates: [  0.612700610000000,  0.125606200000000,  0.636083400000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 64    coordinates: [  0.720632730000000,  0.179572260000000,  0.530583270000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 65    coordinates: [  0.820427740000000,  0.541060470000000,  0.530583270000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 66    coordinates: [  0.458939530000000,  0.279367270000000,  0.530583270000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 67    coordinates: [  0.125606200000000,  0.512905590000000,  0.363916600000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 68    coordinates: [  0.487094410000000,  0.612700610000000,  0.363916600000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 69    coordinates: [  0.387299390000000,  0.874393800000000,  0.363916600000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 70    coordinates: [  0.279367270000000,  0.820427740000000,  0.469416730000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 71    coordinates: [  0.179572260000000,  0.458939530000000,  0.469416730000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 72    coordinates: [  0.541060470000000,  0.720632730000000,  0.469416730000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 73    coordinates: [  0.135092640000000,  0.635628800000000,  0.568150890000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 74    coordinates: [  0.364371200000000,  0.499463840000000,  0.568150890000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 75    coordinates: [  0.500536160000000,  0.864907360000000,  0.568150890000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 76    coordinates: [  0.832797170000000,  0.031037870000000,  0.598515770000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 77    coordinates: [  0.968962130000000,  0.801759300000000,  0.598515770000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 78    coordinates: [  0.198240700000000,  0.167202830000000,  0.598515770000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 79    coordinates: [  0.864907360000000,  0.364371200000000,  0.431849110000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 80    coordinates: [  0.635628800000000,  0.500536160000000,  0.431849110000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 81    coordinates: [  0.499463840000000,  0.135092640000000,  0.431849110000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 82    coordinates: [  0.167202830000000,  0.968962130000000,  0.401484230000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 83    coordinates: [  0.031037870000000,  0.198240700000000,  0.401484230000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 84    coordinates: [  0.801759300000000,  0.832797170000000,  0.401484230000000 ]    mass: 15.999400    reduced_to: 60  - symbol: O  # 85    coordinates: [  0.541060470000000,  0.820427740000000,  0.969416730000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 86    coordinates: [  0.179572260000000,  0.720632730000000,  0.969416730000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 87    coordinates: [  0.279367270000000,  0.458939530000000,  0.969416730000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 88    coordinates: [  0.387299390000000,  0.512905590000000,  0.863916600000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 89    coordinates: [  0.487094410000000,  0.874393800000000,  0.863916600000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 90    coordinates: [  0.125606200000000,  0.612700610000000,  0.863916600000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 91    coordinates: [  0.792272870000000,  0.846238930000000,  0.697249940000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 92    coordinates: [  0.153761070000000,  0.946033940000000,  0.697249940000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 93    coordinates: [  0.053966060000000,  0.207727130000000,  0.697249940000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 94    coordinates: [  0.946033940000000,  0.153761070000000,  0.802750060000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 95    coordinates: [  0.846238930000000,  0.792272870000000,  0.802750060000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 96    coordinates: [  0.207727130000000,  0.053966060000000,  0.802750060000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 97    coordinates: [  0.801759300000000,  0.968962130000000,  0.901484230000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 98    coordinates: [  0.031037870000000,  0.832797170000000,  0.901484230000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 99    coordinates: [  0.167202830000000,  0.198240700000000,  0.901484230000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 100    coordinates: [  0.499463840000000,  0.364371200000000,  0.931849110000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 101    coordinates: [  0.635628800000000,  0.135092640000000,  0.931849110000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 102    coordinates: [  0.864907360000000,  0.500536160000000,  0.931849110000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 103    coordinates: [  0.531574030000000,  0.697704530000000,  0.765182440000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 104    coordinates: [  0.302295470000000,  0.833869500000000,  0.765182440000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 105    coordinates: [  0.166130500000000,  0.468425970000000,  0.765182440000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 106    coordinates: [  0.833869500000000,  0.302295470000000,  0.734817560000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 107    coordinates: [  0.697704530000000,  0.531574030000000,  0.734817560000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 108    coordinates: [  0.468425970000000,  0.166130500000000,  0.734817560000000 ]    mass: 15.999400    reduced_to: 60displacements:- atom:    1  displacement:    [   0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [  -0.2155722300000000,  0.0003068600000000,  0.0000279000000000 ]  - [   0.0054804700000000, -0.0138813200000000, -0.0000059000000000 ]  - [   0.0159229900000000,  0.0000689500000000,  0.0000104200000000 ]  - 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