# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/6795851d-2433-4702-aba7-195aec6ed24c/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 Na2TiGeO5 / P4/nmm (129) / materials id 6228](https://mdr.nims.go.jp/datasets/f732d3e7-238f-43b4-ba1f-7be18aa30f87)

## 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:  - [     6.647118510000000,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,     6.647118510000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     5.170371910000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.000000000000000,  0.216616460000000,  0.695406740000000 ]    mass: 15.999400  - symbol: O  # 2    coordinates: [  0.000000000000000,  0.783383540000000,  0.695406740000000 ]    mass: 15.999400  - symbol: O  # 3    coordinates: [  0.716616460000000,  0.500000000000000,  0.695406740000000 ]    mass: 15.999400  - symbol: O  # 4    coordinates: [  0.283383540000000,  0.500000000000000,  0.695406740000000 ]    mass: 15.999400  - symbol: O  # 5    coordinates: [  0.216616460000000,  0.000000000000000,  0.304593260000000 ]    mass: 15.999400  - symbol: O  # 6    coordinates: [  0.500000000000000,  0.716616460000000,  0.304593260000000 ]    mass: 15.999400  - symbol: O  # 7    coordinates: [  0.500000000000000,  0.283383540000000,  0.304593260000000 ]    mass: 15.999400  - symbol: O  # 8    coordinates: [  0.783383540000000,  0.000000000000000,  0.304593260000000 ]    mass: 15.999400  - symbol: O  # 9    coordinates: [  0.500000000000000,  0.000000000000000,  0.758603260000000 ]    mass: 15.999400  - symbol: O  # 10    coordinates: [  0.000000000000000,  0.500000000000000,  0.241396740000000 ]    mass: 15.999400  - symbol: Na # 11    coordinates: [  0.250000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 22.989769  - symbol: Na # 12    coordinates: [  0.750000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 22.989769  - symbol: Na # 13    coordinates: [  0.750000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 22.989769  - symbol: Na # 14    coordinates: [  0.250000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 22.989769  - symbol: Ti # 15    coordinates: [  0.000000000000000,  0.500000000000000,  0.572767900000000 ]    mass: 47.867000  - symbol: Ti # 16    coordinates: [  0.500000000000000,  0.000000000000000,  0.427232100000000 ]    mass: 47.867000  - symbol: Ge # 17    coordinates: [  0.500000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 72.640000  - symbol: Ge # 18    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 72.640000  reciprocal_lattice: # without 2pi  - [     0.150441127007979,     0.000000000000000,     0.000000000000000 ] # a*  - [     0.000000000000000,     0.150441127007979,     0.000000000000000 ] # b*  - [     0.000000000000000,     0.000000000000000,     0.193409684526930 ] # c*unit_cell:  lattice:  - [     6.647118510000000,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,     6.647118510000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     5.170371910000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.000000000000000,  0.216616460000000,  0.695406740000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.000000000000000,  0.783383540000000,  0.695406740000000 ]    mass: 15.999400    reduced_to: 2  - symbol: O  # 3    coordinates: [  0.716616460000000,  0.500000000000000,  0.695406740000000 ]    mass: 15.999400    reduced_to: 3  - symbol: O  # 4    coordinates: [  0.283383540000000,  0.500000000000000,  0.695406740000000 ]    mass: 15.999400    reduced_to: 4  - symbol: O  # 5    coordinates: [  0.216616460000000,  0.000000000000000,  0.304593260000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 6    coordinates: [  0.500000000000000,  0.716616460000000,  0.304593260000000 ]    mass: 15.999400    reduced_to: 6  - symbol: O  # 7    coordinates: [  0.500000000000000,  0.283383540000000,  0.304593260000000 ]    mass: 15.999400    reduced_to: 7  - symbol: O  # 8    coordinates: [  0.783383540000000,  0.000000000000000,  0.304593260000000 ]    mass: 15.999400    reduced_to: 8  - symbol: O  # 9    coordinates: [  0.500000000000000,  0.000000000000000,  0.758603260000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.000000000000000,  0.500000000000000,  0.241396740000000 ]    mass: 15.999400    reduced_to: 10  - symbol: Na # 11    coordinates: [  0.250000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 11  - symbol: Na # 12    coordinates: [  0.750000000000000,  0.750000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 12  - symbol: Na # 13    coordinates: [  0.750000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 13  - symbol: Na # 14    coordinates: [  0.250000000000000,  0.250000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 14  - symbol: Ti # 15    coordinates: [  0.000000000000000,  0.500000000000000,  0.572767900000000 ]    mass: 47.867000    reduced_to: 15  - symbol: Ti # 16    coordinates: [  0.500000000000000,  0.000000000000000,  0.427232100000000 ]    mass: 47.867000    reduced_to: 16  - symbol: Ge # 17    coordinates: [  0.500000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 72.640000    reduced_to: 17  - symbol: Ge # 18    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 72.640000    reduced_to: 18supercell:  lattice:  - [    13.294237020000001,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,    13.294237020000001,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    10.340743820000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.000000000000000,  0.108308230000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.500000000000000,  0.108308230000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 3    coordinates: [  0.000000000000000,  0.608308230000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 4    coordinates: [  0.500000000000000,  0.608308230000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 5    coordinates: [  0.000000000000000,  0.108308230000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 6    coordinates: [  0.500000000000000,  0.108308230000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 7    coordinates: [  0.000000000000000,  0.608308230000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 8    coordinates: [  0.500000000000000,  0.608308230000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 9    coordinates: [  0.000000000000000,  0.391691770000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.500000000000000,  0.391691770000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 11    coordinates: [  0.000000000000000,  0.891691770000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 12    coordinates: [  0.500000000000000,  0.891691770000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 13    coordinates: [  0.000000000000000,  0.391691770000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 14    coordinates: [  0.500000000000000,  0.391691770000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 15    coordinates: [  0.000000000000000,  0.891691770000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 16    coordinates: [  0.500000000000000,  0.891691770000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 17    coordinates: [  0.358308230000000,  0.250000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 18    coordinates: [  0.858308230000000,  0.250000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 19    coordinates: [  0.358308230000000,  0.750000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 20    coordinates: [  0.858308230000000,  0.750000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 21    coordinates: [  0.358308230000000,  0.250000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 22    coordinates: [  0.858308230000000,  0.250000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 23    coordinates: [  0.358308230000000,  0.750000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 24    coordinates: [  0.858308230000000,  0.750000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 25    coordinates: [  0.141691770000000,  0.250000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 26    coordinates: [  0.641691770000000,  0.250000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 27    coordinates: [  0.141691770000000,  0.750000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 28    coordinates: [  0.641691770000000,  0.750000000000000,  0.347703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 29    coordinates: [  0.141691770000000,  0.250000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 30    coordinates: [  0.641691770000000,  0.250000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 31    coordinates: [  0.141691770000000,  0.750000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 32    coordinates: [  0.641691770000000,  0.750000000000000,  0.847703370000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 33    coordinates: [  0.108308230000000,  0.000000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 34    coordinates: [  0.608308230000000,  0.000000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 35    coordinates: [  0.108308230000000,  0.500000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 36    coordinates: [  0.608308230000000,  0.500000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 37    coordinates: [  0.108308230000000,  0.000000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 38    coordinates: [  0.608308230000000,  0.000000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 39    coordinates: [  0.108308230000000,  0.500000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 40    coordinates: [  0.608308230000000,  0.500000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 41    coordinates: [  0.250000000000000,  0.358308230000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.750000000000000,  0.358308230000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 43    coordinates: [  0.250000000000000,  0.858308230000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 44    coordinates: [  0.750000000000000,  0.858308230000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 45    coordinates: [  0.250000000000000,  0.358308230000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 46    coordinates: [  0.750000000000000,  0.358308230000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 47    coordinates: [  0.250000000000000,  0.858308230000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 48    coordinates: [  0.750000000000000,  0.858308230000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 49    coordinates: [  0.250000000000000,  0.141691770000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.750000000000000,  0.141691770000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 51    coordinates: [  0.250000000000000,  0.641691770000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 52    coordinates: [  0.750000000000000,  0.641691770000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 53    coordinates: [  0.250000000000000,  0.141691770000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 54    coordinates: [  0.750000000000000,  0.141691770000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 55    coordinates: [  0.250000000000000,  0.641691770000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 56    coordinates: [  0.750000000000000,  0.641691770000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 57    coordinates: [  0.391691770000000,  0.000000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.891691770000000,  0.000000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 59    coordinates: [  0.391691770000000,  0.500000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 60    coordinates: [  0.891691770000000,  0.500000000000000,  0.152296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 61    coordinates: [  0.391691770000000,  0.000000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 62    coordinates: [  0.891691770000000,  0.000000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 63    coordinates: [  0.391691770000000,  0.500000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 64    coordinates: [  0.891691770000000,  0.500000000000000,  0.652296630000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 65    coordinates: [  0.250000000000000,  0.000000000000000,  0.379301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 66    coordinates: [  0.750000000000000,  0.000000000000000,  0.379301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 67    coordinates: [  0.250000000000000,  0.500000000000000,  0.379301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 68    coordinates: [  0.750000000000000,  0.500000000000000,  0.379301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 69    coordinates: [  0.250000000000000,  0.000000000000000,  0.879301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 70    coordinates: [  0.750000000000000,  0.000000000000000,  0.879301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 71    coordinates: [  0.250000000000000,  0.500000000000000,  0.879301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 72    coordinates: [  0.750000000000000,  0.500000000000000,  0.879301630000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 73    coordinates: [  0.000000000000000,  0.250000000000000,  0.120698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 74    coordinates: [  0.500000000000000,  0.250000000000000,  0.120698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 75    coordinates: [  0.000000000000000,  0.750000000000000,  0.120698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 76    coordinates: [  0.500000000000000,  0.750000000000000,  0.120698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 77    coordinates: [  0.000000000000000,  0.250000000000000,  0.620698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 78    coordinates: [  0.500000000000000,  0.250000000000000,  0.620698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 79    coordinates: [  0.000000000000000,  0.750000000000000,  0.620698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: O  # 80    coordinates: [  0.500000000000000,  0.750000000000000,  0.620698370000000 ]    mass: 15.999400    reduced_to: 73  - symbol: Na # 81    coordinates: [  0.125000000000000,  0.375000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 82    coordinates: [  0.625000000000000,  0.375000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 83    coordinates: [  0.125000000000000,  0.875000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 84    coordinates: [  0.625000000000000,  0.875000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 85    coordinates: [  0.125000000000000,  0.375000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 86    coordinates: [  0.625000000000000,  0.375000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 87    coordinates: [  0.125000000000000,  0.875000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 88    coordinates: [  0.625000000000000,  0.875000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 81  - symbol: Na # 89    coordinates: [  0.375000000000000,  0.375000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 90    coordinates: [  0.875000000000000,  0.375000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 91    coordinates: [  0.375000000000000,  0.875000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 92    coordinates: [  0.875000000000000,  0.875000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 93    coordinates: [  0.375000000000000,  0.375000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 94    coordinates: [  0.875000000000000,  0.375000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 95    coordinates: [  0.375000000000000,  0.875000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 96    coordinates: [  0.875000000000000,  0.875000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 89  - symbol: Na # 97    coordinates: [  0.375000000000000,  0.125000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 98    coordinates: [  0.875000000000000,  0.125000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 99    coordinates: [  0.375000000000000,  0.625000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 100    coordinates: [  0.875000000000000,  0.625000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 101    coordinates: [  0.375000000000000,  0.125000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 102    coordinates: [  0.875000000000000,  0.125000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 103    coordinates: [  0.375000000000000,  0.625000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 104    coordinates: [  0.875000000000000,  0.625000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 97  - symbol: Na # 105    coordinates: [  0.125000000000000,  0.125000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 106    coordinates: [  0.625000000000000,  0.125000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 107    coordinates: [  0.125000000000000,  0.625000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 108    coordinates: [  0.625000000000000,  0.625000000000000,  0.000000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 109    coordinates: [  0.125000000000000,  0.125000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 110    coordinates: [  0.625000000000000,  0.125000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 111    coordinates: [  0.125000000000000,  0.625000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Na # 112    coordinates: [  0.625000000000000,  0.625000000000000,  0.500000000000000 ]    mass: 22.989769    reduced_to: 105  - symbol: Ti # 113    coordinates: [  0.000000000000000,  0.250000000000000,  0.286383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 114    coordinates: [  0.500000000000000,  0.250000000000000,  0.286383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 115    coordinates: [  0.000000000000000,  0.750000000000000,  0.286383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 116    coordinates: [  0.500000000000000,  0.750000000000000,  0.286383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 117    coordinates: [  0.000000000000000,  0.250000000000000,  0.786383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 118    coordinates: [  0.500000000000000,  0.250000000000000,  0.786383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 119    coordinates: [  0.000000000000000,  0.750000000000000,  0.786383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 120    coordinates: [  0.500000000000000,  0.750000000000000,  0.786383950000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 121    coordinates: [  0.250000000000000,  0.000000000000000,  0.213616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ti # 122    coordinates: [  0.750000000000000,  0.000000000000000,  0.213616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ti # 123    coordinates: [  0.250000000000000,  0.500000000000000,  0.213616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ti # 124    coordinates: [  0.750000000000000,  0.500000000000000,  0.213616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ti # 125    coordinates: [  0.250000000000000,  0.000000000000000,  0.713616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ti # 126    coordinates: [  0.750000000000000,  0.000000000000000,  0.713616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ti # 127    coordinates: [  0.250000000000000,  0.500000000000000,  0.713616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ti # 128    coordinates: [  0.750000000000000,  0.500000000000000,  0.713616050000000 ]    mass: 47.867000    reduced_to: 121  - symbol: Ge # 129    coordinates: [  0.250000000000000,  0.250000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 130    coordinates: [  0.750000000000000,  0.250000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 131    coordinates: [  0.250000000000000,  0.750000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 132    coordinates: [  0.750000000000000,  0.750000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 133    coordinates: [  0.250000000000000,  0.250000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 134    coordinates: [  0.750000000000000,  0.250000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 135    coordinates: [  0.250000000000000,  0.750000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 136    coordinates: [  0.750000000000000,  0.750000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 129  - symbol: Ge # 137    coordinates: [  0.000000000000000,  0.000000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 137  - symbol: Ge # 138    coordinates: [  0.500000000000000,  0.000000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 137  - symbol: Ge # 139    coordinates: [  0.000000000000000,  0.500000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 137  - symbol: Ge # 140    coordinates: [  0.500000000000000,  0.500000000000000,  0.250000000000000 ]    mass: 72.640000    reduced_to: 137  - symbol: Ge # 141    coordinates: [  0.000000000000000,  0.000000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 137  - symbol: Ge # 142    coordinates: [  0.500000000000000,  0.000000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 137  - symbol: Ge # 143    coordinates: [  0.000000000000000,  0.500000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 137  - symbol: Ge # 144    coordinates: [  0.500000000000000,  0.500000000000000,  0.750000000000000 ]    mass: 72.640000    reduced_to: 137born_effective_charge:- # 1 (O)  - [ -1.334953160000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.449461120000000,  0.036681260000000 ]  - [  0.000000000000000, -0.017822900000000, -1.183571740000000 ]- # 2 (O)  - [ -1.334953160000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.449461120000001, -0.036681260000000 ]  - [  0.000000000000000,  0.017822900000000, -1.183571740000000 ]- # 3 (O)  - [ -3.449461120000001,  0.000000000000000,  0.036681260000000 ]  - [  0.000000000000000, -1.334953160000000,  0.000000000000000 ]  - [ -0.017822900000000,  0.000000000000000, -1.183571740000000 ]- # 4 (O)  - [ -3.449461120000001,  0.000000000000000, -0.036681260000000 ]  - [  0.000000000000000, -1.334953160000000,  0.000000000000000 ]  - [  0.017822900000000,  0.000000000000000, -1.183571740000000 ]- # 5 (O)  - [ -3.449461120000001,  0.000000000000000, -0.036681260000000 ]  - [  0.000000000000000, -1.334953160000000,  0.000000000000000 ]  - [  0.017822900000000,  0.000000000000000, -1.183571740000000 ]- # 6 (O)  - [ -1.334953160000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.449461120000001, -0.036681260000000 ]  - [  0.000000000000000,  0.017822900000000, -1.183571740000000 ]- # 7 (O)  - [ -1.334953160000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -3.449461120000001,  0.036681260000000 ]  - [  0.000000000000000, -0.017822900000000, -1.183571740000000 ]- # 8 (O)  - [ -3.449461120000001,  0.000000000000000,  0.036681260000000 ]  - [  0.000000000000000, -1.334953160000000,  0.000000000000000 ]  - [ -0.017822900000000,  0.000000000000000, -1.183571740000000 ]- # 9 (O)  - [ -0.983623970000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -0.983623970000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -2.406624950000000 ]- # 10 (O)  - [ -0.983623970000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000, -0.983623970000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -2.406624950000000 ]- # 11 (Na)  - [  0.972570730000000,  0.059773870000000,  0.026257210000000 ]  - [  0.059773870000000,  0.972570730000000,  0.026257210000000 ]  - [ -0.036345020000000, -0.036345020000000,  1.380256160000000 ]- # 12 (Na)  - [  0.972570730000000, -0.059773870000000, -0.026257210000000 ]  - [ -0.059773870000000,  0.972570730000000,  0.026257210000000 ]  - [  0.036345020000000, -0.036345020000000,  1.380256160000000 ]- # 13 (Na)  - [  0.972570730000000,  0.059773870000000, -0.026257210000000 ]  - [  0.059773870000000,  0.972570730000000, -0.026257210000000 ]  - [  0.036345020000000,  0.036345020000000,  1.380256160000000 ]- # 14 (Na)  - [  0.972570730000000, -0.059773870000000,  0.026257210000000 ]  - [ -0.059773870000000,  0.972570730000000, -0.026257210000000 ]  - [ -0.036345020000000,  0.036345020000000,  1.380256160000000 ]- # 15 (Ti)  - [  4.559459700000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.559459700000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  2.497484340000000 ]- # 16 (Ti)  - [  4.559459700000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.559459700000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  2.497484340000000 ]- # 17 (Ge)  - [  4.047851350000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.047851350000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.882915230000000 ]- # 18 (Ge)  - [  4.047851350000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  4.047851350000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.882915230000000 ]dielectric_constant:  - [  3.595679040000000,  0.000000000000000,  0.000000000000000 ]  - [  0.000000000000000,  3.595679040000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  2.940929440000000 ]displacements:- atom:    1  displacement:    [   0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [  -0.0654861600000000, -0.0004918000000000, -0.0008966700000000 ]  - [   0.0010213000000000, -0.0000499600000000, -0.0001570400000000 ]  - [  -0.0003996800000000, -0.0000592100000000, -0.0001627100000000 ]  - [   0.0003540700000000, -0.0000512700000000, -0.0001659000000000 ]  - [  -0.0007505200000000, -0.0000532800000000, -0.0001654600000000 ]  - [   0.0004446300000000, -0.0000469900000000, -0.0001622200000000 ]  - [  -0.0002303700000000, -0.0000536000000000, -0.0001612400000000 ]  - [   0.0002035700000000, -0.0000503000000000, -0.0001651400000000 ]  - [   0.0002466400000000,  0.0000212600000000, -0.0001745600000000 ]  - [   0.0005981200000000,  0.0000585200000000, -0.0001587700000000 ]  - [  -0.0034527400000000,  0.0000422600000000, -0.0001588600000000 ]  - [   0.0007740800000000,  0.0000430300000000, -0.0001627400000000 ]  - [  -0.0002826900000000,  0.0000528200000000, -0.0001618600000000 ]  - [   0.0002700500000000,  0.0000511000000000, -0.0001625900000000 ]  - [  -0.0007472000000000,  0.0000545000000000, -0.0001641700000000 ]  - [   0.0003765800000000,  0.0000471100000000, -0.0001627300000000 ]  - [   0.0027677400000000,  0.0001476200000000, -0.0002233700000000 ]  - [   0.0093162600000000, -0.0144588900000000,  0.0004679800000000 ]  - [   0.0007596400000000, -0.0002613200000000, -0.0000074500000000 ]  - [  -0.0009938900000000,  0.0001490500000000, -0.0002948100000000 ]  - [   0.0006381500000000,  0.0001302700000000, -0.0002269800000000 ]  - [  -0.0006984700000000, -0.0001579800000000, -0.0000263600000000 ]  - [   0.0003784600000000, -0.0000927100000000, -0.0002246700000000 ]  - [  -0.0004873400000000,  0.0001320900000000, -0.0000409100000000 ]  - [   0.0094616300000000,  0.0146341500000000, -0.0007664800000000 ]  - [   0.0028852100000000, -0.0001480000000000, -0.0000938500000000 ]  - [  -0.0008978400000000, -0.0001468600000000, -0.0000279700000000 ]  - [   0.0008573200000000,  0.0002628600000000, -0.0003189400000000 ]  - [  -0.0005990700000000,  0.0001566400000000, -0.0002925000000000 ]  - [   0.0007344700000000, -0.0001320600000000, -0.0001005400000000 ]  - [  -0.0003828000000000, -0.0001299100000000, -0.0002804700000000 ]  - [   0.0004768000000000,  0.0000949000000000, -0.0001085700000000 ]  - [   0.0025572500000000, -0.0069454600000000, -0.0077251400000000 ]  - [   0.0027046900000000,  0.0001490700000000,  0.0004169400000000 ]  - [  -0.0009230400000000,  0.0001486300000000,  0.0001854000000000 ]  - [   0.0008130800000000, -0.0001439100000000,  0.0001170800000000 ]  - [  -0.0009175800000000, -0.0005021400000000,  0.0015410800000000 ]  - [   0.0009672100000000,  0.0000844400000000,  0.0000001400000000 ]  - [  -0.0004732400000000,  0.0000842900000000,  0.0003052400000000 ]  - [   0.0003615100000000, -0.0000473700000000,  0.0000868500000000 ]  - [   0.0006716100000000,  0.0018187600000000, -0.0009677200000000 ]  - [   0.0006757800000000, -0.0019265300000000,  0.0012914800000000 ]  - [   0.0006726900000000, -0.0021886100000000,  0.0002217900000000 ]  - [   0.0006752600000000,  0.0020973500000000,  0.0001174500000000 ]  - [   0.0000937600000000,  0.0003780900000000,  0.0005406800000000 ]  - [   0.0000934200000000, -0.0004897500000000, -0.0002320700000000 ]  - [   0.0000947200000000, -0.0005892600000000,  0.0003363600000000 ]  - [   0.0000927600000000,  0.0004872200000000, -0.0000046300000000 ]  - [   0.0013565700000000,  0.0005076500000000, -0.0006663600000000 ]  - [   0.0013571200000000, -0.0004066900000000,  0.0009992800000000 ]  - [  -0.0000164200000000, -0.0001636400000000,  0.0001306900000000 ]  - [  -0.0000154100000000,  0.0002641700000000,  0.0001817800000000 ]  - [   0.0004446900000000,  0.0002265400000000,  0.0011011800000000 ]  - [   0.0004419200000000, -0.0001259100000000, -0.0007685000000000 ]  - [   0.0000111800000000, -0.0000137700000000,  0.0001928300000000 ]  - [   0.0000100900000000,  0.0001288800000000,  0.0001180100000000 ]  - [   0.0027895800000000, -0.0001505400000000, -0.0000890700000000 ]  - [   0.0026547100000000,  0.0068917800000000,  0.0079732100000000 ]  - [   0.0009193800000000,  0.0001455700000000,  0.0002083900000000 ]  - [  -0.0008080300000000, -0.0001511600000000,  0.0001404200000000 ]  - [   0.0010672700000000, -0.0000848300000000,  0.0003297000000000 ]  - [  -0.0008063500000000,  0.0005014800000000, -0.0012087100000000 ]  - [   0.0004754500000000,  0.0000483000000000,  0.0002308300000000 ]  - [  -0.0003545700000000, -0.0000849800000000,  0.0000100500000000 ]  - [   0.0023356900000000, -0.0014053400000000, -0.0004729500000000 ]  - [   0.0023056700000000,  0.0013887200000000,  0.0007630800000000 ]  - [   0.0001426000000000,  0.0003799600000000,  0.0001573100000000 ]  - [   0.0001443500000000, -0.0003793900000000,  0.0001105200000000 ]  - [   0.0002672000000000, -0.0000651900000000, -0.0004773700000000 ]  - [   0.0002671500000000,  0.0000656400000000,  0.0007491800000000 ]  - [   0.0000012800000000,  0.0000736800000000,  0.0000317200000000 ]  - [   0.0000020200000000, -0.0000733900000000,  0.0002189600000000 ]  - [  -0.0026814100000000, -0.0000072300000000, -0.0001228200000000 ]  - [   0.0005446300000000,  0.0000004400000000, -0.0001272000000000 ]  - [  -0.0005020800000000, -0.0000004600000000, -0.0001359600000000 ]  - [   0.0003358500000000, -0.0000003600000000, -0.0001502200000000 ]  - [  -0.0011567600000000,  0.0000009800000000, -0.0001344800000000 ]  - [   0.0003477200000000,  0.0000004100000000, -0.0001410700000000 ]  - [  -0.0002350500000000, -0.0000005800000000, -0.0001321500000000 ]  - [   0.0002068000000000, -0.0000003200000000, -0.0001351200000000 ]  - [   0.0002966000000000, -0.0001181700000000,  0.0001893200000000 ]  - [  -0.0002801800000000,  0.0000793300000000, -0.0001488200000000 ]  - [   0.0004025400000000,  0.0006310800000000,  0.0005726100000000 ]  - [  -0.0003644600000000, -0.0001465900000000, -0.0001922900000000 ]  - [   0.0004393800000000, -0.0006358300000000, -0.0006023000000000 ]  - [  -0.0003788000000000,  0.0001727000000000,  0.0001763000000000 ]  - [   0.0002745600000000,  0.0010371100000000, -0.0004405400000000 ]  - [  -0.0004175500000000, -0.0002698300000000,  0.0002034300000000 ]  - [  -0.0002788600000000, -0.0000803400000000,  0.0001468700000000 ]  - [   0.0002953400000000,  0.0001196400000000, -0.0001926300000000 ]  - [  -0.0003664300000000,  0.0001465100000000,  0.0001938400000000 ]  - [   0.0004001600000000, -0.0006304700000000, -0.0005716800000000 ]  - [  -0.0003777200000000, -0.0001725000000000, -0.0001764600000000 ]  - [   0.0004361300000000,  0.0006357300000000,  0.0006050500000000 ]  - [  -0.0004205100000000,  0.0002732000000000, -0.0002043400000000 ]  - [   0.0002709200000000, -0.0010285000000000,  0.0004383400000000 ]  - [  -0.0004936600000000, -0.0000768800000000,  0.0002840700000000 ]  - [   0.0003995300000000,  0.0005391300000000, -0.0010918100000000 ]  - [  -0.0001545700000000,  0.0000167300000000,  0.0000630200000000 ]  - [   0.0001568900000000, -0.0000252900000000, -0.0000638400000000 ]  - [  -0.0007190600000000, -0.0000955300000000, -0.0002907800000000 ]  - [   0.0092515900000000, -0.0010240300000000, -0.0056654500000000 ]  - [  -0.0001505800000000, -0.0000059600000000, -0.0000559200000000 ]  - [   0.0001489400000000,  0.0000322700000000,  0.0000477400000000 ]  - [   0.0004033800000000, -0.0005431100000000,  0.0010933200000000 ]  - [  -0.0004914200000000,  0.0000761500000000, -0.0002828300000000 ]  - [   0.0001546800000000,  0.0000265600000000,  0.0000616400000000 ]  - [  -0.0001584700000000, -0.0000141500000000, -0.0000668000000000 ]  - [   0.0095831400000000,  0.0010791700000000,  0.0060813900000000 ]  - [  -0.0007141200000000,  0.0000919900000000,  0.0002926900000000 ]  - [   0.0001482400000000, -0.0000309200000000, -0.0000490600000000 ]  - [  -0.0001532800000000,  0.0000068600000000,  0.0000526900000000 ]  - [   0.0152943200000000, -0.0000994500000000,  0.0007864400000000 ]  - [  -0.0033191000000000,  0.0000002100000000,  0.0007022600000000 ]  - [   0.0011849100000000, -0.0000017500000000,  0.0007098200000000 ]  - [  -0.0013594800000000,  0.0000010600000000,  0.0007157100000000 ]  - [   0.0012699100000000, -0.0000001600000000,  0.0007103100000000 ]  - [  -0.0011579000000000,  0.0000014000000000,  0.0007157600000000 ]  - [   0.0008528700000000,  0.0000013900000000,  0.0007084800000000 ]  - [  -0.0007452800000000, -0.0000008900000000,  0.0007171500000000 ]  - [  -0.0060199600000000,  0.0019165900000000,  0.0008346200000000 ]  - [  -0.0060136800000000, -0.0019042400000000, -0.0022484300000000 ]  - [  -0.0000847700000000, -0.0012281000000000, -0.0005579900000000 ]  - [  -0.0000936300000000,  0.0012239400000000, -0.0008623900000000 ]  - [  -0.0007321600000000,  0.0006363200000000, -0.0007567300000000 ]  - [  -0.0007321800000000, -0.0006355900000000, -0.0006741400000000 ]  - 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