# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/52a151ae-b37a-4bc2-aae9-03d7fb2c8d55/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 K2Ti(SiO3)3 / P6_3/m (176) / materials id 6810](https://mdr.nims.go.jp/datasets/dd316990-a8df-4524-b7ba-e2d8c00187bd)

## 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: "P6_3/m"  number: 176  Hall_symbol: "-P 6c"supercell_matrix:- [   2,   0,   0 ]- [   0,   2,   0 ]- [   0,   0,   1 ]primitive_cell:  lattice:  - [     6.792846160000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -3.396423080000000,     5.882777340000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    10.014314680000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.017609090000000,  0.243477550000000,  0.387914780000000 ]    mass: 15.999400  - symbol: O  # 2    coordinates: [  0.774131530000000,  0.017609090000000,  0.887914780000000 ]    mass: 15.999400  - symbol: O  # 3    coordinates: [  0.243477550000000,  0.225868470000000,  0.887914780000000 ]    mass: 15.999400  - symbol: O  # 4    coordinates: [  0.756522450000000,  0.774131530000000,  0.387914780000000 ]    mass: 15.999400  - symbol: O  # 5    coordinates: [  0.225868470000000,  0.982390910000000,  0.387914780000000 ]    mass: 15.999400  - symbol: O  # 6    coordinates: [  0.982390910000000,  0.756522450000000,  0.887914780000000 ]    mass: 15.999400  - symbol: O  # 7    coordinates: [  0.982390910000000,  0.756522450000000,  0.612085220000000 ]    mass: 15.999400  - symbol: O  # 8    coordinates: [  0.225868470000000,  0.982390910000000,  0.112085220000000 ]    mass: 15.999400  - symbol: O  # 9    coordinates: [  0.756522450000000,  0.774131530000000,  0.112085220000000 ]    mass: 15.999400  - symbol: O  # 10    coordinates: [  0.243477550000000,  0.225868470000000,  0.612085220000000 ]    mass: 15.999400  - symbol: O  # 11    coordinates: [  0.774131530000000,  0.017609090000000,  0.612085220000000 ]    mass: 15.999400  - symbol: O  # 12    coordinates: [  0.017609090000000,  0.243477550000000,  0.112085220000000 ]    mass: 15.999400  - symbol: O  # 13    coordinates: [  0.405526420000000,  0.485626640000000,  0.250000000000000 ]    mass: 15.999400  - symbol: O  # 14    coordinates: [  0.919899790000000,  0.405526420000000,  0.750000000000000 ]    mass: 15.999400  - symbol: O  # 15    coordinates: [  0.485626640000000,  0.080100210000000,  0.750000000000000 ]    mass: 15.999400  - symbol: O  # 16    coordinates: [  0.514373360000000,  0.919899790000000,  0.250000000000000 ]    mass: 15.999400  - symbol: O  # 17    coordinates: [  0.080100210000000,  0.594473580000000,  0.250000000000000 ]    mass: 15.999400  - symbol: O  # 18    coordinates: [  0.594473580000000,  0.514373360000000,  0.750000000000000 ]    mass: 15.999400  - symbol: Si # 19    coordinates: [  0.873444640000000,  0.624290890000000,  0.750000000000000 ]    mass: 28.085500  - symbol: Si # 20    coordinates: [  0.249153750000000,  0.873444640000000,  0.250000000000000 ]    mass: 28.085500  - symbol: Si # 21    coordinates: [  0.624290890000000,  0.750846250000000,  0.250000000000000 ]    mass: 28.085500  - symbol: Si # 22    coordinates: [  0.375709110000000,  0.249153750000000,  0.750000000000000 ]    mass: 28.085500  - symbol: Si # 23    coordinates: [  0.750846250000000,  0.126555360000000,  0.750000000000000 ]    mass: 28.085500  - symbol: Si # 24    coordinates: [  0.126555360000000,  0.375709110000000,  0.250000000000000 ]    mass: 28.085500  - symbol: K  # 25    coordinates: [  0.666666670000000,  0.333333330000000,  0.055105180000000 ]    mass: 39.098300  - symbol: K  # 26    coordinates: [  0.333333330000000,  0.666666670000000,  0.555105180000000 ]    mass: 39.098300  - symbol: K  # 27    coordinates: [  0.666666670000000,  0.333333330000000,  0.444894820000000 ]    mass: 39.098300  - symbol: K  # 28    coordinates: [  0.333333330000000,  0.666666670000000,  0.944894820000000 ]    mass: 39.098300  - symbol: Ti # 29    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 47.867000  - symbol: Ti # 30    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 47.867000  reciprocal_lattice: # without 2pi  - [     0.147213697534996,     0.084993867879419,     0.000000000000000 ] # a*  - [     0.000000000000000,     0.169987735758838,     0.000000000000000 ] # b*  - [     0.000000000000000,     0.000000000000000,     0.099857057817161 ] # c*unit_cell:  lattice:  - [     6.792846160000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -3.396423080000000,     5.882777340000000,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    10.014314680000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.017609090000000,  0.243477550000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.774131530000000,  0.017609090000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 2  - symbol: O  # 3    coordinates: [  0.243477550000000,  0.225868470000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 3  - symbol: O  # 4    coordinates: [  0.756522450000000,  0.774131530000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 4  - symbol: O  # 5    coordinates: [  0.225868470000000,  0.982390910000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 6    coordinates: [  0.982390910000000,  0.756522450000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 6  - symbol: O  # 7    coordinates: [  0.982390910000000,  0.756522450000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 7  - symbol: O  # 8    coordinates: [  0.225868470000000,  0.982390910000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 8  - symbol: O  # 9    coordinates: [  0.756522450000000,  0.774131530000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.243477550000000,  0.225868470000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 10  - symbol: O  # 11    coordinates: [  0.774131530000000,  0.017609090000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 11  - symbol: O  # 12    coordinates: [  0.017609090000000,  0.243477550000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 12  - symbol: O  # 13    coordinates: [  0.405526420000000,  0.485626640000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 14    coordinates: [  0.919899790000000,  0.405526420000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 14  - symbol: O  # 15    coordinates: [  0.485626640000000,  0.080100210000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 15  - symbol: O  # 16    coordinates: [  0.514373360000000,  0.919899790000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 16  - symbol: O  # 17    coordinates: [  0.080100210000000,  0.594473580000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 18    coordinates: [  0.594473580000000,  0.514373360000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 18  - symbol: Si # 19    coordinates: [  0.873444640000000,  0.624290890000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 19  - symbol: Si # 20    coordinates: [  0.249153750000000,  0.873444640000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 20  - symbol: Si # 21    coordinates: [  0.624290890000000,  0.750846250000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 21  - symbol: Si # 22    coordinates: [  0.375709110000000,  0.249153750000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 22  - symbol: Si # 23    coordinates: [  0.750846250000000,  0.126555360000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 23  - symbol: Si # 24    coordinates: [  0.126555360000000,  0.375709110000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 24  - symbol: K  # 25    coordinates: [  0.666666670000000,  0.333333330000000,  0.055105180000000 ]    mass: 39.098300    reduced_to: 25  - symbol: K  # 26    coordinates: [  0.333333330000000,  0.666666670000000,  0.555105180000000 ]    mass: 39.098300    reduced_to: 26  - symbol: K  # 27    coordinates: [  0.666666670000000,  0.333333330000000,  0.444894820000000 ]    mass: 39.098300    reduced_to: 27  - symbol: K  # 28    coordinates: [  0.333333330000000,  0.666666670000000,  0.944894820000000 ]    mass: 39.098300    reduced_to: 28  - symbol: Ti # 29    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 29  - symbol: Ti # 30    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 30supercell:  lattice:  - [    13.585692320000000,     0.000000000000000,     0.000000000000000 ] # a  - [    -6.792846160000000,    11.765554679999999,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,    10.014314680000000 ] # c  points:  - symbol: O  # 1    coordinates: [  0.008804545000000,  0.121738775000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 2    coordinates: [  0.508804545000000,  0.121738775000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 3    coordinates: [  0.008804545000000,  0.621738775000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 4    coordinates: [  0.508804545000000,  0.621738775000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 1  - symbol: O  # 5    coordinates: [  0.387065765000000,  0.008804545000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 6    coordinates: [  0.887065765000000,  0.008804545000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 7    coordinates: [  0.387065765000000,  0.508804545000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 8    coordinates: [  0.887065765000000,  0.508804545000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 5  - symbol: O  # 9    coordinates: [  0.121738775000000,  0.112934235000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 10    coordinates: [  0.621738775000000,  0.112934235000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 11    coordinates: [  0.121738775000000,  0.612934235000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 12    coordinates: [  0.621738775000000,  0.612934235000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 9  - symbol: O  # 13    coordinates: [  0.378261225000000,  0.387065765000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 14    coordinates: [  0.878261225000000,  0.387065765000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 15    coordinates: [  0.378261225000000,  0.887065765000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 16    coordinates: [  0.878261225000000,  0.887065765000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 13  - symbol: O  # 17    coordinates: [  0.112934235000000,  0.491195455000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 18    coordinates: [  0.612934235000000,  0.491195455000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 19    coordinates: [  0.112934235000000,  0.991195455000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 20    coordinates: [  0.612934235000000,  0.991195455000000,  0.387914780000000 ]    mass: 15.999400    reduced_to: 17  - symbol: O  # 21    coordinates: [  0.491195455000000,  0.378261225000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 22    coordinates: [  0.991195455000000,  0.378261225000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 23    coordinates: [  0.491195455000000,  0.878261225000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 24    coordinates: [  0.991195455000000,  0.878261225000000,  0.887914780000000 ]    mass: 15.999400    reduced_to: 21  - symbol: O  # 25    coordinates: [  0.491195455000000,  0.378261225000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 26    coordinates: [  0.991195455000000,  0.378261225000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 27    coordinates: [  0.491195455000000,  0.878261225000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 28    coordinates: [  0.991195455000000,  0.878261225000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 25  - symbol: O  # 29    coordinates: [  0.112934235000000,  0.491195455000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 29  - symbol: O  # 30    coordinates: [  0.612934235000000,  0.491195455000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 29  - symbol: O  # 31    coordinates: [  0.112934235000000,  0.991195455000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 29  - symbol: O  # 32    coordinates: [  0.612934235000000,  0.991195455000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 29  - symbol: O  # 33    coordinates: [  0.378261225000000,  0.387065765000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 34    coordinates: [  0.878261225000000,  0.387065765000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 35    coordinates: [  0.378261225000000,  0.887065765000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 36    coordinates: [  0.878261225000000,  0.887065765000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 33  - symbol: O  # 37    coordinates: [  0.121738775000000,  0.112934235000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 38    coordinates: [  0.621738775000000,  0.112934235000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 39    coordinates: [  0.121738775000000,  0.612934235000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 40    coordinates: [  0.621738775000000,  0.612934235000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 41    coordinates: [  0.387065765000000,  0.008804545000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.887065765000000,  0.008804545000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 43    coordinates: [  0.387065765000000,  0.508804545000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 44    coordinates: [  0.887065765000000,  0.508804545000000,  0.612085220000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 45    coordinates: [  0.008804545000000,  0.121738775000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 46    coordinates: [  0.508804545000000,  0.121738775000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 47    coordinates: [  0.008804545000000,  0.621738775000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 48    coordinates: [  0.508804545000000,  0.621738775000000,  0.112085220000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 49    coordinates: [  0.202763210000000,  0.242813320000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.702763210000000,  0.242813320000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 51    coordinates: [  0.202763210000000,  0.742813320000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 52    coordinates: [  0.702763210000000,  0.742813320000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 53    coordinates: [  0.459949895000000,  0.202763210000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 54    coordinates: [  0.959949895000000,  0.202763210000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 55    coordinates: [  0.459949895000000,  0.702763210000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 56    coordinates: [  0.959949895000000,  0.702763210000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 57    coordinates: [  0.242813320000000,  0.040050105000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.742813320000000,  0.040050105000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 59    coordinates: [  0.242813320000000,  0.540050105000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 60    coordinates: [  0.742813320000000,  0.540050105000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 61    coordinates: [  0.257186680000000,  0.459949895000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 62    coordinates: [  0.757186680000000,  0.459949895000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 63    coordinates: [  0.257186680000000,  0.959949895000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 64    coordinates: [  0.757186680000000,  0.959949895000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 65    coordinates: [  0.040050105000000,  0.297236790000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 66    coordinates: [  0.540050105000000,  0.297236790000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 67    coordinates: [  0.040050105000000,  0.797236790000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 68    coordinates: [  0.540050105000000,  0.797236790000000,  0.250000000000000 ]    mass: 15.999400    reduced_to: 65  - symbol: O  # 69    coordinates: [  0.297236790000000,  0.257186680000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 69  - symbol: O  # 70    coordinates: [  0.797236790000000,  0.257186680000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 69  - symbol: O  # 71    coordinates: [  0.297236790000000,  0.757186680000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 69  - symbol: O  # 72    coordinates: [  0.797236790000000,  0.757186680000000,  0.750000000000000 ]    mass: 15.999400    reduced_to: 69  - symbol: Si # 73    coordinates: [  0.436722320000000,  0.312145445000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 73  - symbol: Si # 74    coordinates: [  0.936722320000000,  0.312145445000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 73  - symbol: Si # 75    coordinates: [  0.436722320000000,  0.812145445000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 73  - symbol: Si # 76    coordinates: [  0.936722320000000,  0.812145445000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 73  - symbol: Si # 77    coordinates: [  0.124576875000000,  0.436722320000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 77  - symbol: Si # 78    coordinates: [  0.624576875000000,  0.436722320000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 77  - symbol: Si # 79    coordinates: [  0.124576875000000,  0.936722320000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 77  - symbol: Si # 80    coordinates: [  0.624576875000000,  0.936722320000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 77  - symbol: Si # 81    coordinates: [  0.312145445000000,  0.375423125000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 81  - symbol: Si # 82    coordinates: [  0.812145445000000,  0.375423125000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 81  - symbol: Si # 83    coordinates: [  0.312145445000000,  0.875423125000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 81  - symbol: Si # 84    coordinates: [  0.812145445000000,  0.875423125000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 81  - symbol: Si # 85    coordinates: [  0.187854555000000,  0.124576875000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 85  - symbol: Si # 86    coordinates: [  0.687854555000000,  0.124576875000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 85  - symbol: Si # 87    coordinates: [  0.187854555000000,  0.624576875000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 85  - symbol: Si # 88    coordinates: [  0.687854555000000,  0.624576875000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 85  - symbol: Si # 89    coordinates: [  0.375423125000000,  0.063277680000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 89  - symbol: Si # 90    coordinates: [  0.875423125000000,  0.063277680000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 89  - symbol: Si # 91    coordinates: [  0.375423125000000,  0.563277680000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 89  - symbol: Si # 92    coordinates: [  0.875423125000000,  0.563277680000000,  0.750000000000000 ]    mass: 28.085500    reduced_to: 89  - symbol: Si # 93    coordinates: [  0.063277680000000,  0.187854555000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 93  - symbol: Si # 94    coordinates: [  0.563277680000000,  0.187854555000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 93  - symbol: Si # 95    coordinates: [  0.063277680000000,  0.687854555000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 93  - symbol: Si # 96    coordinates: [  0.563277680000000,  0.687854555000000,  0.250000000000000 ]    mass: 28.085500    reduced_to: 93  - symbol: K  # 97    coordinates: [  0.333333335000000,  0.166666665000000,  0.055105180000000 ]    mass: 39.098300    reduced_to: 97  - symbol: K  # 98    coordinates: [  0.833333335000000,  0.166666665000000,  0.055105180000000 ]    mass: 39.098300    reduced_to: 97  - symbol: K  # 99    coordinates: [  0.333333335000000,  0.666666665000000,  0.055105180000000 ]    mass: 39.098300    reduced_to: 97  - symbol: K  # 100    coordinates: [  0.833333335000000,  0.666666665000000,  0.055105180000000 ]    mass: 39.098300    reduced_to: 97  - symbol: K  # 101    coordinates: [  0.166666665000000,  0.333333335000000,  0.555105180000000 ]    mass: 39.098300    reduced_to: 101  - symbol: K  # 102    coordinates: [  0.666666665000000,  0.333333335000000,  0.555105180000000 ]    mass: 39.098300    reduced_to: 101  - symbol: K  # 103    coordinates: [  0.166666665000000,  0.833333335000000,  0.555105180000000 ]    mass: 39.098300    reduced_to: 101  - symbol: K  # 104    coordinates: [  0.666666665000000,  0.833333335000000,  0.555105180000000 ]    mass: 39.098300    reduced_to: 101  - symbol: K  # 105    coordinates: [  0.333333335000000,  0.166666665000000,  0.444894820000000 ]    mass: 39.098300    reduced_to: 105  - symbol: K  # 106    coordinates: [  0.833333335000000,  0.166666665000000,  0.444894820000000 ]    mass: 39.098300    reduced_to: 105  - symbol: K  # 107    coordinates: [  0.333333335000000,  0.666666665000000,  0.444894820000000 ]    mass: 39.098300    reduced_to: 105  - symbol: K  # 108    coordinates: [  0.833333335000000,  0.666666665000000,  0.444894820000000 ]    mass: 39.098300    reduced_to: 105  - symbol: K  # 109    coordinates: [  0.166666665000000,  0.333333335000000,  0.944894820000000 ]    mass: 39.098300    reduced_to: 109  - symbol: K  # 110    coordinates: [  0.666666665000000,  0.333333335000000,  0.944894820000000 ]    mass: 39.098300    reduced_to: 109  - symbol: K  # 111    coordinates: [  0.166666665000000,  0.833333335000000,  0.944894820000000 ]    mass: 39.098300    reduced_to: 109  - symbol: K  # 112    coordinates: [  0.666666665000000,  0.833333335000000,  0.944894820000000 ]    mass: 39.098300    reduced_to: 109  - symbol: Ti # 113    coordinates: [  0.000000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 114    coordinates: [  0.500000000000000,  0.000000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 115    coordinates: [  0.000000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 116    coordinates: [  0.500000000000000,  0.500000000000000,  0.000000000000000 ]    mass: 47.867000    reduced_to: 113  - symbol: Ti # 117    coordinates: [  0.000000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 117  - symbol: Ti # 118    coordinates: [  0.500000000000000,  0.000000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 117  - symbol: Ti # 119    coordinates: [  0.000000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 117  - symbol: Ti # 120    coordinates: [  0.500000000000000,  0.500000000000000,  0.500000000000000 ]    mass: 47.867000    reduced_to: 117born_effective_charge:- # 1 (O)  - [ -1.265730480000000,  0.334574230000000, -0.176041400000000 ]  - [  0.344964280000000, -2.422551650000000,  1.100405970000000 ]  - [ -0.267136900000000,  1.284461640000000, -2.696806840000000 ]- # 2 (O)  - [ -2.427595163756014,  0.325838607923771, -1.041000224729398 ]  - [  0.336228657928049, -1.260686966243986,  0.397746660519552 ]  - [ -1.245944860154252,  0.410883478255130, -2.696806840000000 ]- # 3 (O)  - [ -1.839097551243986, -0.675997913177170,  0.864958824729398 ]  - [ -0.665607862682283, -1.849184578756014,  0.702659309480448 ]  - [  0.978807960154252,  0.873578161744870, -2.696806840000000 ]- # 4 (O)  - [ -1.839097551243986, -0.675997913177170, -0.864958824729398 ]  - [ -0.665607862682283, -1.849184578756014, -0.702659309480448 ]  - [ -0.978807960154252, -0.873578161744870, -2.696806840000000 ]- # 5 (O)  - [ -2.427595163756014,  0.325838607923771,  1.041000224729398 ]  - [  0.336228657928049, -1.260686966243986, -0.397746660519552 ]  - [  1.245944860154252, -0.410883478255130, -2.696806840000000 ]- # 6 (O)  - [ -1.265730480000000,  0.334574230000000,  0.176041400000000 ]  - [  0.344964280000000, -2.422551650000000, -1.100405970000000 ]  - [  0.267136900000000, -1.284461640000000, -2.696806840000000 ]- # 7 (O)  - [ -1.265730480000000,  0.334574230000000, -0.176041400000000 ]  - [  0.344964280000000, -2.422551650000000,  1.100405970000000 ]  - [ -0.267136900000000,  1.284461640000000, -2.696806840000000 ]- # 8 (O)  - [ -2.427595163756014,  0.325838607923771, -1.041000224729398 ]  - [  0.336228657928049, -1.260686966243986,  0.397746660519552 ]  - [ -1.245944860154252,  0.410883478255130, -2.696806840000000 ]- # 9 (O)  - [ -1.839097551243986, -0.675997913177170,  0.864958824729398 ]  - [ -0.665607862682283, -1.849184578756014,  0.702659309480448 ]  - [  0.978807960154252,  0.873578161744870, -2.696806840000000 ]- # 10 (O)  - [ -1.839097551243986, -0.675997913177170, -0.864958824729398 ]  - [ -0.665607862682283, -1.849184578756014, -0.702659309480448 ]  - [ -0.978807960154252, -0.873578161744870, -2.696806840000000 ]- # 11 (O)  - [ -2.427595163756014,  0.325838607923771,  1.041000224729398 ]  - [  0.336228657928049, -1.260686966243986, -0.397746660519552 ]  - [  1.245944860154252, -0.410883478255130, -2.696806840000000 ]- # 12 (O)  - [ -1.265730480000000,  0.334574230000000,  0.176041400000000 ]  - [  0.344964280000000, -2.422551650000000, -1.100405970000000 ]  - [  0.267136900000000, -1.284461640000000, -2.696806840000000 ]- # 13 (O)  - [ -2.038031640000000, -0.746948340000000,  0.000000000000000 ]  - [ -1.080765300000000, -2.446878290000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -1.321225670000000 ]- # 14 (O)  - [ -1.553243405922944,  0.800872683016377,  0.000000000000000 ]  - [  0.467055722258393, -2.931666524077056,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -1.321225670000000 ]- # 15 (O)  - [ -3.136089849077056,  0.446801097777515,  0.000000000000000 ]  - [  0.112984137192925, -1.348820080922944,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -1.321225670000000 ]- # 16 (O)  - [ -3.136089849077056,  0.446801097777515,  0.000000000000000 ]  - [  0.112984137192925, -1.348820080922944,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -1.321225670000000 ]- # 17 (O)  - [ -1.553243405922944,  0.800872683016377,  0.000000000000000 ]  - [  0.467055722258393, -2.931666524077056,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -1.321225670000000 ]- # 18 (O)  - [ -2.038031640000000, -0.746948340000000,  0.000000000000000 ]  - [ -1.080765300000000, -2.446878290000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000, -1.321225670000000 ]- # 19 (Si)  - [  2.734069100000000, -0.260644460000000,  0.000000000000000 ]  - [  0.455255040000000,  4.107218380000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.860768350000000 ]- # 20 (Si)  - [  3.679662206861484, -1.001193475146951,  0.000000000000000 ]  - [ -0.285293974784297,  3.161625273138516,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.860768350000000 ]- # 21 (Si)  - [  3.848199913138516,  0.187988684812537,  0.000000000000000 ]  - [  0.903888184592837,  2.993087566861484,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.860768350000000 ]- # 22 (Si)  - [  3.848199913138516,  0.187988684812537,  0.000000000000000 ]  - [  0.903888184592837,  2.993087566861484,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.860768350000000 ]- # 23 (Si)  - [  3.679662206861484, -1.001193475146951,  0.000000000000000 ]  - [ -0.285293974784297,  3.161625273138516,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.860768350000000 ]- # 24 (Si)  - [  2.734069100000000, -0.260644460000000,  0.000000000000000 ]  - [  0.455255040000000,  4.107218380000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.860768350000000 ]- # 25 (K)  - [  1.350026840000000,  0.015792030000000,  0.000000000000000 ]  - [ -0.015792030000000,  1.350026840000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.081004940000000 ]- # 26 (K)  - [  1.350026839996651,  0.015792030005800,  0.000000000000000 ]  - [ -0.015792029994200,  1.350026840003349,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.081004940000000 ]- # 27 (K)  - [  1.350026839996651,  0.015792030005800,  0.000000000000000 ]  - [ -0.015792029994200,  1.350026840003349,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.081004940000000 ]- # 28 (K)  - [  1.350026840000000,  0.015792030000000,  0.000000000000000 ]  - [ -0.015792030000000,  1.350026840000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  1.081004940000000 ]- # 29 (Ti)  - [  4.830226350000000,  0.572709900000000,  0.000000000000000 ]  - [ -0.572709900000000,  4.830226350000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  6.400203150000000 ]- # 30 (Ti)  - [  4.830226349878557,  0.572709900210346,  0.000000000000000 ]  - [ -0.572709899789654,  4.830226350121444,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  6.400203150000000 ]dielectric_constant:  - [  3.086789440000000, -0.000002810000000,  0.000000000000000 ]  - [  0.000002810000000,  3.086789440000000,  0.000000000000000 ]  - [  0.000000000000000,  0.000000000000000,  3.479588070000000 ]displacements:- atom:    1  displacement:    [   0.0100000000000000,  0.0000000000000000,  0.0000000000000000 ]  forces:  - [  -0.0761613200000000, -0.0007222000000000,  0.0252570500000000 ]  - [   0.0005422300000000, -0.0002890700000000, -0.0001772600000000 ]  - [   0.0001386800000000, -0.0015694500000000,  0.0003093900000000 ]  - [  -0.0004420500000000,  0.0005463200000000, -0.0005878400000000 ]  - [   0.0009413700000000, -0.0005085800000000,  0.0001960900000000 ]  - [  -0.0010699200000000, -0.0000595500000000, -0.0011041400000000 ]  - [  -0.0003906000000000, -0.0001136600000000, -0.0005050600000000 ]  - [   0.0005544000000000, -0.0008393600000000,  0.0001476200000000 ]  - [  -0.0014161700000000, -0.0001416000000000,  0.0021113100000000 ]  - [   0.0002110300000000,  0.0004675100000000, -0.0005693600000000 ]  - [  -0.0004067100000000, -0.0002646000000000,  0.0000459000000000 ]  - [  -0.0001940900000000,  0.0004076300000000, -0.0003635300000000 ]  - [   0.0012175900000000,  0.0016275300000000,  0.0007611000000000 ]  - [   0.0008229300000000, -0.0018129000000000, -0.0002540700000000 ]  - [   0.0012894800000000,  0.0000786300000000,  0.0001762100000000 ]  - [  -0.0050431900000000,  0.0021071500000000, -0.0027010700000000 ]  - [   0.0001084300000000, -0.0009848900000000, -0.0008964000000000 ]  - [   0.0004741100000000,  0.0003836500000000, -0.0004472400000000 ]  - [   0.0130168800000000, -0.0125444000000000, -0.0026328600000000 ]  - [   0.0020536300000000,  0.0011000800000000, -0.0006762400000000 ]  - [   0.0005530000000000,  0.0003794300000000, -0.0001973700000000 ]  - [   0.0003402700000000, -0.0002268400000000, -0.0004733600000000 ]  - [   0.0004624800000000,  0.0002735300000000, -0.0002335200000000 ]  - [  -0.0003462300000000,  0.0006074900000000,  0.0011840700000000 ]  - [   0.0005396600000000,  0.0004580000000000,  0.0002172100000000 ]  - [   0.0005459400000000, -0.0010741700000000, -0.0002985500000000 ]  - [   0.0005168700000000,  0.0004099200000000,  0.0000661900000000 ]  - [   0.0022979200000000, -0.0042503800000000,  0.0046663100000000 ]  - [   0.0005909700000000, -0.0015318000000000,  0.0014685800000000 ]  - [   0.0005395800000000,  0.0003952700000000,  0.0004973300000000 ]  - [  -0.0014552700000000,  0.0001767800000000, -0.0025283300000000 ]  - [   0.0012650700000000,  0.0003854500000000,  0.0011097900000000 ]  - [   0.0019905300000000,  0.0023349300000000, -0.0014117800000000 ]  - [   0.0005637600000000, -0.0007866000000000,  0.0007215900000000 ]  - [   0.0010787700000000, -0.0000887500000000, -0.0001226600000000 ]  - [  -0.0009447500000000,  0.0001162100000000,  0.0007744700000000 ]  - [   0.0031597300000000,  0.0010976600000000,  0.0102250500000000 ]  - [   0.0007713300000000,  0.0007873400000000, -0.0000106000000000 ]  - [  -0.0004793000000000, -0.0006116800000000, -0.0001106300000000 ]  - [  -0.0002506400000000,  0.0003928200000000,  0.0003017200000000 ]  - [   0.0013210300000000, -0.0004292900000000, -0.0001741700000000 ]  - [  -0.0043645300000000,  0.0032509400000000, -0.0029477400000000 ]  - [  -0.0003703000000000, -0.0001357500000000,  0.0004427800000000 ]  - [   0.0006670200000000, -0.0009177600000000, -0.0002646100000000 ]  - [  -0.0082418000000000,  0.0021780300000000,  0.0060981900000000 ]  - [   0.0002705600000000, -0.0001633800000000,  0.0002959700000000 ]  - [   0.0001512400000000, -0.0013257300000000, -0.0002890900000000 ]  - [  -0.0004614300000000,  0.0005596200000000,  0.0006140200000000 ]  - [   0.0073263200000000,  0.0160921900000000, -0.0108264000000000 ]  - [   0.0014179300000000,  0.0004398700000000,  0.0003491900000000 ]  - [   0.0006359700000000, -0.0001000400000000, -0.0000015100000000 ]  - [  -0.0001231500000000,  0.0013041100000000, -0.0001357400000000 ]  - [   0.0001901700000000,  0.0004113700000000,  0.0000114300000000 ]  - [  -0.0007556800000000,  0.0008453600000000, -0.0006506700000000 ]  - [  -0.0005184800000000,  0.0007971100000000, -0.0000297300000000 ]  - [  -0.0000384800000000, -0.0012794800000000,  0.0005996600000000 ]  - [   0.0022579900000000, -0.0000139600000000,  0.0006905200000000 ]  - [   0.0003653200000000,  0.0004012700000000, -0.0003154800000000 ]  - [   0.0001170100000000,  0.0001298500000000, -0.0000121400000000 ]  - [   0.0009621900000000, -0.0002692400000000, -0.0000328300000000 ]  - [  -0.0037389700000000,  0.0007240800000000, -0.0000079800000000 ]  - [   0.0003472100000000, -0.0004591800000000,  0.0000869300000000 ]  - 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