# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/76e16ac3-9e5f-41b9-a91b-9a2ba8b8b237/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 Na2TiSiO5 / P4/nmm (129) / materials id 6138](https://mdr.nims.go.jp/datasets/3823f01c-a5de-4826-9ef7-82418068bb66)

## 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: "P4/nmm"  number: 129  Hall_symbol: "P 4ab 2ab -1ab"supercell_matrix:- [   2,   0,   0 ]- [   0,   2,   0 ]- [   0,   0,   2 ]primitive_cell:  lattice:  - [     6.474315970000000,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,     6.474315970000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     5.112181620000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.500000000000000,  0.000000000000000,  0.729027650000000 ]    mass: 15.999400  - symbol: O  # 2    coordinates: [  0.000000000000000,  0.500000000000000,  0.270972350000000 ]    mass: 15.999400  - symbol: O  # 3    coordinates: [  0.500000000000000,  0.291816030000000,  0.183659420000000 ]    mass: 15.999400  - symbol: O  # 4    coordinates: [  0.500000000000000,  0.708183970000000,  0.183659420000000 ]    mass: 15.999400  - symbol: O  # 5    coordinates: [  0.791816030000000,  0.000000000000000,  0.183659420000000 ]    mass: 15.999400  - symbol: O  # 6    coordinates: [  0.208183970000000,  0.000000000000000,  0.183659420000000 ]    mass: 15.999400  - symbol: O  # 7    coordinates: [  0.291816030000000,  0.500000000000000,  0.816340580000000 ]    mass: 15.999400  - symbol: O  # 8    coordinates: [  0.000000000000000,  0.791816030000000,  0.816340580000000 ]    mass: 15.999400  - symbol: O  # 9    coordinates: [  0.708183970000000,  0.500000000000000,  0.816340580000000 ]    mass: 15.999400  - symbol: O  # 10    coordinates: [  0.000000000000000,  0.208183970000000,  0.816340580000000 ]    mass: 15.999400  - symbol: Na # 11    coordinates: [  0.250000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 22.989769  - symbol: Na # 12    coordinates: [  0.250000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 22.989769  - symbol: Na # 13    coordinates: [  0.750000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 22.989769  - symbol: Na # 14    coordinates: [  0.750000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 22.989769  - symbol: Si # 15    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 28.085500  - symbol: Si # 16    coordinates: [  0.500000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 28.085500  - symbol: Ti # 17    coordinates: [  0.500000000000000,  0.000000000000000,  0.064468430000000 ]    mass: 47.867000  - symbol: Ti # 18    coordinates: [  0.000000000000000,  0.500000000000000,  0.935531570000000 ]    mass: 47.867000  reciprocal_lattice: # without 2pi  - [     0.154456471484199,     0.000000000000000,     0.000000000000000 ] # a*  - [     0.000000000000000,     0.154456471484199,     0.000000000000000 ] # b*  - [     0.000000000000000,     0.000000000000000,     0.195611203656728 ] # c*unit_cell:  lattice:  - [     6.474315970000000,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,     6.474315970000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     5.112181620000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.500000000000000,  0.000000000000000,  0.729027650000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.000000000000000,  0.500000000000000,  0.270972350000000 ]    mass: 15.999400    reduced_to: 2  - symbol: O  # 3    coordinates: [  0.500000000000000,  0.291816030000000,  0.183659420000000 ]    mass: 15.999400    reduced_to: 3  - symbol: O  # 4    coordinates: [  0.500000000000000,  0.708183970000000,  0.183659420000000 ]    mass: 15.999400    reduced_to: 4  - symbol: O  # 5    coordinates: [  0.791816030000000,  0.000000000000000,  0.183659420000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 6    coordinates: [  0.208183970000000,  0.000000000000000,  0.183659420000000 ]    mass: 15.999400    reduced_to: 6  - symbol: O  # 7    coordinates: [  0.291816030000000,  0.500000000000000,  0.816340580000000 ]    mass: 15.999400    reduced_to: 7  - symbol: O  # 8    coordinates: [  0.000000000000000,  0.791816030000000,  0.816340580000000 ]    mass: 15.999400    reduced_to: 8  - symbol: O  # 9    coordinates: [  0.708183970000000,  0.500000000000000,  0.816340580000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.000000000000000,  0.208183970000000,  0.816340580000000 ]    mass: 15.999400    reduced_to: 10  - symbol: Na # 11    coordinates: [  0.250000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 11  - symbol: Na # 12    coordinates: [  0.250000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 12  - symbol: Na # 13    coordinates: [  0.750000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 13  - symbol: Na # 14    coordinates: [  0.750000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 14  - symbol: Si # 15    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 15  - symbol: Si # 16    coordinates: [  0.500000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 16  - symbol: Ti # 17    coordinates: [  0.500000000000000,  0.000000000000000,  0.064468430000000 ]    mass: 47.867000    reduced_to: 17  - symbol: Ti # 18    coordinates: [  0.000000000000000,  0.500000000000000,  0.935531570000000 ]    mass: 47.867000    reduced_to: 18supercell:  lattice:  - [    12.948631940000000,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,    12.948631940000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    10.224363240000001 ] # c  points:  - symbol: O  # 1    coordinates: [  0.250000000000000,  0.000000000000000,  0.364513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.750000000000000,  0.000000000000000,  0.364513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 3    coordinates: [  0.250000000000000,  0.500000000000000,  0.364513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 4    coordinates: [  0.750000000000000,  0.500000000000000,  0.364513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 5    coordinates: [  0.250000000000000,  0.000000000000000,  0.864513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 6    coordinates: [  0.750000000000000,  0.000000000000000,  0.864513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 7    coordinates: [  0.250000000000000,  0.500000000000000,  0.864513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 8    coordinates: [  0.750000000000000,  0.500000000000000,  0.864513825000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 9    coordinates: [  0.000000000000000,  0.250000000000000,  0.135486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.500000000000000,  0.250000000000000,  0.135486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 11    coordinates: [  0.000000000000000,  0.750000000000000,  0.135486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 12    coordinates: [  0.500000000000000,  0.750000000000000,  0.135486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 13    coordinates: [  0.000000000000000,  0.250000000000000,  0.635486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 14    coordinates: [  0.500000000000000,  0.250000000000000,  0.635486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 15    coordinates: [  0.000000000000000,  0.750000000000000,  0.635486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 16    coordinates: [  0.500000000000000,  0.750000000000000,  0.635486175000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 17    coordinates: [  0.250000000000000,  0.145908015000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 18    coordinates: [  0.750000000000000,  0.145908015000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 19    coordinates: [  0.250000000000000,  0.645908015000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 20    coordinates: [  0.750000000000000,  0.645908015000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 21    coordinates: [  0.250000000000000,  0.145908015000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 22    coordinates: [  0.750000000000000,  0.145908015000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 23    coordinates: [  0.250000000000000,  0.645908015000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 24    coordinates: [  0.750000000000000,  0.645908015000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 25    coordinates: [  0.250000000000000,  0.354091985000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 26    coordinates: [  0.750000000000000,  0.354091985000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 27    coordinates: [  0.250000000000000,  0.854091985000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 28    coordinates: [  0.750000000000000,  0.854091985000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 29    coordinates: [  0.250000000000000,  0.354091985000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 30    coordinates: [  0.750000000000000,  0.354091985000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 31    coordinates: [  0.250000000000000,  0.854091985000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 32    coordinates: [  0.750000000000000,  0.854091985000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 33    coordinates: [  0.395908015000000,  0.000000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 34    coordinates: [  0.895908015000000,  0.000000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 35    coordinates: [  0.395908015000000,  0.500000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 36    coordinates: [  0.895908015000000,  0.500000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 37    coordinates: [  0.395908015000000,  0.000000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 38    coordinates: [  0.895908015000000,  0.000000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 39    coordinates: [  0.395908015000000,  0.500000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 40    coordinates: [  0.895908015000000,  0.500000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 41    coordinates: [  0.104091985000000,  0.000000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.604091985000000,  0.000000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 43    coordinates: [  0.104091985000000,  0.500000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 44    coordinates: [  0.604091985000000,  0.500000000000000,  0.091829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 45    coordinates: [  0.104091985000000,  0.000000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 46    coordinates: [  0.604091985000000,  0.000000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 47    coordinates: [  0.104091985000000,  0.500000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 48    coordinates: [  0.604091985000000,  0.500000000000000,  0.591829710000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 49    coordinates: [  0.145908015000000,  0.250000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.645908015000000,  0.250000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 51    coordinates: [  0.145908015000000,  0.750000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 52    coordinates: [  0.645908015000000,  0.750000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 53    coordinates: [  0.145908015000000,  0.250000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 54    coordinates: [  0.645908015000000,  0.250000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 55    coordinates: [  0.145908015000000,  0.750000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 56    coordinates: [  0.645908015000000,  0.750000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 57    coordinates: [  0.000000000000000,  0.395908015000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.500000000000000,  0.395908015000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 59    coordinates: [  0.000000000000000,  0.895908015000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 60    coordinates: [  0.500000000000000,  0.895908015000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 61    coordinates: [  0.000000000000000,  0.395908015000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 62    coordinates: [  0.500000000000000,  0.395908015000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 63    coordinates: [  0.000000000000000,  0.895908015000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 64    coordinates: [  0.500000000000000,  0.895908015000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 65    coordinates: [  0.354091985000000,  0.250000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 66    coordinates: [  0.854091985000000,  0.250000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 67    coordinates: [  0.354091985000000,  0.750000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 68    coordinates: [  0.854091985000000,  0.750000000000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 69    coordinates: [  0.354091985000000,  0.250000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 70    coordinates: [  0.854091985000000,  0.250000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 71    coordinates: [  0.354091985000000,  0.750000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 72    coordinates: [  0.854091985000000,  0.750000000000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 73    coordinates: [  0.000000000000000,  0.104091985000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 74    coordinates: [  0.500000000000000,  0.104091985000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 75    coordinates: [  0.000000000000000,  0.604091985000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 76    coordinates: [  0.500000000000000,  0.604091985000000,  0.408170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 77    coordinates: [  0.000000000000000,  0.104091985000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 78    coordinates: [  0.500000000000000,  0.104091985000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 79    coordinates: [  0.000000000000000,  0.604091985000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 80    coordinates: [  0.500000000000000,  0.604091985000000,  0.908170290000000 ]    mass: 15.999400    reduced_to: 73  - symbol: Na # 81    coordinates: [  0.125000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 82    coordinates: [  0.625000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 83    coordinates: [  0.125000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 84    coordinates: [  0.625000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 85    coordinates: [  0.125000000000000,  0.125000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 86    coordinates: [  0.625000000000000,  0.125000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 87    coordinates: [  0.125000000000000,  0.625000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 88    coordinates: [  0.625000000000000,  0.625000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 89    coordinates: [  0.125000000000000,  0.375000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 90    coordinates: [  0.625000000000000,  0.375000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 91    coordinates: [  0.125000000000000,  0.875000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 92    coordinates: [  0.625000000000000,  0.875000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 93    coordinates: [  0.125000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 94    coordinates: [  0.625000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 95    coordinates: [  0.125000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 96    coordinates: [  0.625000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 97    coordinates: [  0.375000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 98    coordinates: [  0.875000000000000,  0.125000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 99    coordinates: [  0.375000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 100    coordinates: [  0.875000000000000,  0.625000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 101    coordinates: [  0.375000000000000,  0.125000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 102    coordinates: [  0.875000000000000,  0.125000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 103    coordinates: [  0.375000000000000,  0.625000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 104    coordinates: [  0.875000000000000,  0.625000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 105    coordinates: [  0.375000000000000,  0.375000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 106    coordinates: [  0.875000000000000,  0.375000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 107    coordinates: [  0.375000000000000,  0.875000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 108    coordinates: [  0.875000000000000,  0.875000000000000,  0.250000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 109    coordinates: [  0.375000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 110    coordinates: [  0.875000000000000,  0.375000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 111    coordinates: [  0.375000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 112    coordinates: [  0.875000000000000,  0.875000000000000,  0.750000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Si # 113    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 114    coordinates: [  0.500000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 115    coordinates: [  0.000000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 116    coordinates: [  0.500000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 117    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 118    coordinates: [  0.500000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 119    coordinates: [  0.000000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 120    coordinates: [  0.500000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 113  - symbol: Si # 121    coordinates: [  0.250000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Si # 122    coordinates: [  0.750000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Si # 123    coordinates: [  0.250000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Si # 124    coordinates: [  0.750000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Si # 125    coordinates: [  0.250000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Si # 126    coordinates: [  0.750000000000000,  0.250000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Si # 127    coordinates: [  0.250000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Si # 128    coordinates: [  0.750000000000000,  0.750000000000000,  0.500000000000000 ]    mass: 28.085500    reduced_to: 121  - symbol: Ti # 129    coordinates: [  0.250000000000000,  0.000000000000000,  0.032234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 130    coordinates: [  0.750000000000000,  0.000000000000000,  0.032234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 131    coordinates: [  0.250000000000000,  0.500000000000000,  0.032234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 132    coordinates: [  0.750000000000000,  0.500000000000000,  0.032234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 133    coordinates: [  0.250000000000000,  0.000000000000000,  0.532234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 134    coordinates: [  0.750000000000000,  0.000000000000000,  0.532234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 135    coordinates: [  0.250000000000000,  0.500000000000000,  0.532234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 136    coordinates: [  0.750000000000000,  0.500000000000000,  0.532234215000000 ]    mass: 47.867000    reduced_to: 129  - symbol: Ti # 137    coordinates: [  0.000000000000000,  0.250000000000000,  0.467765785000000 ]    mass: 47.867000    reduced_to: 137  - symbol: Ti # 138    coordinates: [  0.500000000000000,  0.250000000000000,  0.467765785000000 ]    mass: 47.867000    reduced_to: 137  - symbol: Ti # 139    coordinates: [  0.000000000000000,  0.750000000000000,  0.467765785000000 ]    mass: 47.867000    reduced_to: 137  - symbol: Ti # 140    coordinates: [  0.500000000000000,  0.750000000000000,  0.467765785000000 ]    mass: 47.867000    reduced_to: 137  - symbol: Ti # 141    coordinates: [  0.000000000000000,  0.250000000000000,  0.967765785000000 ]    mass: 47.867000    reduced_to: 137  - symbol: Ti # 142    coordinates: [  0.500000000000000,  0.250000000000000,  0.967765785000000 ]    mass: 47.867000    reduced_to: 137  - symbol: Ti # 143    coordinates: [  0.000000000000000,  0.750000000000000,  0.967765785000000 ]    mass: 47.867000    reduced_to: 137  - symbol: Ti # 144    coordinates: [  0.500000000000000,  0.750000000000000,  0.967765785000000 ]    mass: 47.867000    reduced_to: 137born_effective_charge:- # 1 (O)  - [ -1.002151900000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -1.002151900000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -2.459912020000000 ]- # 2 (O)  - [ -1.002151900000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -1.002151900000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -2.459912020000000 ]- # 3 (O)  - [ -1.362564820000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.366699910000000,  0.019876610000000 ]  - [  0.000000000000000,  0.015356010000000, -1.174624160000000 ]- # 4 (O)  - [ -1.362564820000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.366699910000001, -0.019876610000000 ]  - [  0.000000000000000, -0.015356010000000, -1.174624160000000 ]- # 5 (O)  - [ -3.366699910000001,  0.000000000000000,  0.019876610000000 ]  - [  0.000000000000000, -1.362564820000000,  0.000000000000000 ]  - [  0.015356010000000,  0.000000000000000, -1.174624160000000 ]- # 6 (O)  - [ -3.366699910000001,  0.000000000000000, -0.019876610000000 ]  - [  0.000000000000000, -1.362564820000000,  0.000000000000000 ]  - [ -0.015356010000000,  0.000000000000000, -1.174624160000000 ]- # 7 (O)  - [ -3.366699910000001,  0.000000000000000, -0.019876610000000 ]  - [  0.000000000000000, -1.362564820000000,  0.000000000000000 ]  - [ -0.015356010000000,  0.000000000000000, -1.174624160000000 ]- # 8 (O)  - [ -1.362564820000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.366699910000001, -0.019876610000000 ]  - [  0.000000000000000, -0.015356010000000, -1.174624160000000 ]- # 9 (O)  - [ -3.366699910000001,  0.000000000000000,  0.019876610000000 ]  - [  0.000000000000000, -1.362564820000000,  0.000000000000000 ]  - [  0.015356010000000,  0.000000000000000, -1.174624160000000 ]- # 10 (O)  - [ -1.362564820000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.366699910000001,  0.019876610000000 ]  - [  0.000000000000000,  0.015356010000000, -1.174624160000000 ]- # 11 (Na)  - [  0.977928270000000, -0.081993810000000, -0.041693510000000 ]  - [ -0.081993810000000,  0.977928270000000,  0.041693510000000 ]  - [  0.082328800000000, -0.082328800000000,  1.378495560000000 ]- # 12 (Na)  - [  0.977928270000000,  0.081993810000000, -0.041693510000000 ]  - [  0.081993810000000,  0.977928270000000, -0.041693510000000 ]  - [  0.082328800000000,  0.082328800000000,  1.378495560000000 ]- # 13 (Na)  - [  0.977928270000000,  0.081993810000000,  0.041693510000000 ]  - [  0.081993810000000,  0.977928270000000,  0.041693510000000 ]  - [ -0.082328800000000, -0.082328800000000,  1.378495560000000 ]- # 14 (Na)  - [  0.977928270000000, -0.081993810000000,  0.041693510000000 ]  - [ -0.081993810000000,  0.977928270000000, -0.041693510000000 ]  - [ -0.082328800000000,  0.082328800000000,  1.378495560000000 ]- # 15 (Si)  - [  4.098509170000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.098509170000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.815347700000000 ]- # 16 (Si)  - [  4.098509170000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.098509170000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.815347700000000 ]- # 17 (Ti)  - [  4.406315650000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.406315650000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  2.586069830000000 ]- # 18 (Ti)  - [  4.406315650000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.406315650000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  2.586069830000000 ]dielectric_constant:  - [  3.411560440000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  3.411560440000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  2.896385750000000 ]displacements:- atom:    1  displacement:    [   0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [  -0.0359395000000000,  0.0000000000000000,  0.0007874300000000 ]  - [   0.0006818100000000,  0.0000000000000000, -0.0000896700000000 ]  - [  -0.0003080300000000,  0.0000000000000000, -0.0000802300000000 ]  - [   0.0002576500000000,  0.0000000000000000, -0.0000783800000000 ]  - [  -0.0006990300000000,  0.0000000000000000, -0.0001047800000000 ]  - [   0.0003110500000000,  0.0000000000000000, -0.0000877300000000 ]  - [  -0.0001481300000000,  0.0000000000000000, -0.0000934600000000 ]  - [   0.0001484500000000,  0.0000000000000000, -0.0000831200000000 ]  - [   0.0001838300000000, -0.0003206300000000,  0.0006486700000000 ]  - [   0.0001838700000000,  0.0003237700000000, -0.0004799700000000 ]  - [   0.0001838300000000,  0.0003206300000000,  0.0006486700000000 ]  - [   0.0001838700000000, -0.0003237700000000, -0.0004799700000000 ]  - [   0.0000621900000000, -0.0002709700000000, -0.0005471500000000 ]  - [   0.0000587100000000,  0.0002702100000000,  0.0007189800000000 ]  - [   0.0000621900000000,  0.0002709700000000, -0.0005471500000000 ]  - [   0.0000587100000000, -0.0002702100000000,  0.0007189800000000 ]  - [  -0.0012693200000000,  0.0002368500000000, -0.0004563600000000 ]  - [   0.0003867900000000,  0.0002412400000000, -0.0004579700000000 ]  - [  -0.0002783400000000,  0.0002412900000000, -0.0004562900000000 ]  - [   0.0002467500000000,  0.0002401700000000, -0.0004576200000000 ]  - [  -0.0026341200000000,  0.0001788700000000, -0.0004597300000000 ]  - [   0.0006306700000000,  0.0002383300000000, -0.0004572200000000 ]  - [  -0.0006378100000000,  0.0002509000000000, -0.0004568900000000 ]  - [   0.0004156100000000,  0.0002398800000000, -0.0004582600000000 ]  - [  -0.0002783400000000, -0.0002412900000000, -0.0004562900000000 ]  - [   0.0002467500000000, -0.0002401700000000, -0.0004576200000000 ]  - [  -0.0012693200000000, -0.0002368500000000, -0.0004563600000000 ]  - [   0.0003867900000000, -0.0002412400000000, -0.0004579700000000 ]  - [  -0.0006378100000000, -0.0002509000000000, -0.0004568900000000 ]  - [   0.0004156100000000, -0.0002398800000000, -0.0004582600000000 ]  - [  -0.0026341200000000, -0.0001788700000000, -0.0004597300000000 ]  - [   0.0006306700000000, -0.0002383300000000, -0.0004572200000000 ]  - [   0.0002477800000000,  0.0000000000000000, -0.0039119500000000 ]  - [   0.0013443700000000,  0.0000000000000000, -0.0001536700000000 ]  - [  -0.0000601900000000,  0.0000000000000000, -0.0005065600000000 ]  - [   0.0005427900000000,  0.0000000000000000, -0.0004200000000000 ]  - 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[  -0.0011690200000000, -0.0015339500000000,  0.0011259200000000 ]  - [   0.0012322400000000,  0.0004080700000000,  0.0004324000000000 ]  - [  -0.0008421600000000,  0.0000536600000000,  0.0005697000000000 ]  - [   0.0003425900000000, -0.0000694800000000,  0.0003801000000000 ]  - [  -0.0008421600000000, -0.0000536600000000,  0.0005697000000000 ]  - [   0.0003425900000000,  0.0000694800000000,  0.0003801000000000 ]  - [   0.0026239000000000, -0.0026528700000000, -0.0009629000000000 ]  - [   0.0026459900000000,  0.0021947200000000,  0.0019031600000000 ]  - [   0.0001566900000000,  0.0004201500000000,  0.0005223300000000 ]  - [   0.0001548100000000, -0.0008952300000000,  0.0003896600000000 ]  - [   0.0003063900000000, -0.0007427700000000,  0.0005407200000000 ]  - [   0.0003063600000000,  0.0002699300000000,  0.0003705400000000 ]  - [   0.0000025000000000, -0.0000398100000000,  0.0004263800000000 ]  - [   0.0000006800000000, -0.0004386500000000,  0.0004900800000000 ]  - [   0.0013872600000000,  0.0015671400000000, -0.0012126100000000 ]  - [  -0.0006094000000000, -0.0001280900000000,  0.0002677300000000 ]  - [   0.0001874300000000, -0.0002094800000000, -0.0001502500000000 ]  - [  -0.0001936100000000,  0.0000815500000000,  0.0000863700000000 ]  - [   0.0003770600000000,  0.0002853500000000,  0.0003017100000000 ]  - [  -0.0003364100000000, -0.0000437900000000, -0.0001181900000000 ]  - [   0.0001751300000000, -0.0000890000000000,  0.0000606600000000 ]  - [  -0.0001757500000000,  0.0000833900000000, -0.0000492900000000 ]  - [   0.0001874300000000,  0.0002094800000000, -0.0001502500000000 ]  - [  -0.0001936100000000, -0.0000815500000000,  0.0000863700000000 ]  - [   0.0013872600000000, -0.0015671400000000, -0.0012126100000000 ]  - [  -0.0006094000000000,  0.0001280900000000,  0.0002677300000000 ]  - [   0.0001751300000000,  0.0000890000000000,  0.0000606600000000 ]  - [  -0.0001757500000000, -0.0000833900000000, -0.0000492900000000 ]  - [   0.0003770600000000, -0.0002853500000000,  0.0003017100000000 ]  - [  -0.0003364100000000,  0.0000437900000000, -0.0001181900000000 ]  - [   0.0014532100000000, -0.0015129800000000,  0.0011645600000000 ]  - [  -0.0006084000000000,  0.0001248500000000, -0.0002678400000000 ]  - [   0.0001893200000000,  0.0002107300000000,  0.0001478100000000 ]  - [  -0.0001936500000000, -0.0000806700000000, -0.0000878100000000 ]  - [   0.0003872700000000, -0.0002835900000000, -0.0002920700000000 ]  - [  -0.0003352800000000,  0.0000452300000000,  0.0001184400000000 ]  - [   0.0001776300000000,  0.0000878600000000, -0.0000593000000000 ]  - [  -0.0001749400000000, -0.0000818600000000,  0.0000486400000000 ]  - [   0.0001893200000000, -0.0002107300000000,  0.0001478100000000 ]  - [  -0.0001936500000000,  0.0000806700000000, -0.0000878100000000 ]  - [   0.0014532100000000,  0.0015129800000000,  0.0011645600000000 ]  - [  -0.0006084000000000, -0.0001248500000000, -0.0002678400000000 ]  - [   0.0001776300000000, -0.0000878600000000, -0.0000593000000000 ]  - [  -0.0001749400000000,  0.0000818600000000,  0.0000486400000000 ]  - [   0.0003872700000000,  0.0002835900000000, -0.0002920700000000 ]  - [  -0.0003352800000000, -0.0000452300000000,  0.0001184400000000 ]  - [  -0.0015289700000000,  0.0000000000000000, -0.0005739800000000 ]  - [  -0.0015347600000000,  0.0000000000000000,  0.0005858900000000 ]  - [  -0.0000074400000000,  0.0000000000000000,  0.0002521900000000 ]  - [  -0.0000066600000000,  0.0000000000000000, -0.0002503100000000 ]  - [  -0.0056544400000000,  0.0000000000000000,  0.0035814100000000 ]  - [  -0.0056676400000000,  0.0000000000000000, -0.0036418500000000 ]  - [   0.0000015200000000,  0.0000000000000000,  0.0008203500000000 ]  - [   0.0000056200000000,  0.0000000000000000, -0.0008217900000000 ]  - [   0.0008022200000000,  0.0000006000000000,  0.0000027500000000 ]  - [  -0.0007832100000000, -0.0000011800000000,  0.0000021100000000 ]  - [   0.0008022200000000, -0.0000006000000000,  0.0000027500000000 ]  - [  -0.0007832100000000,  0.0000011800000000,  0.0000021100000000 ]  - [   0.0040012200000000,  0.0000281700000000, -0.0000232800000000 ]  - [  -0.0017599000000000, -0.0000001200000000, -0.0000007000000000 ]  - 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