# Fileset

[phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/6c98b82d-39b7-4c83-b72b-82c256e89af4/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 BaNa2Ti2(Si2O7)2 / Ima2 (46) / materials id 561352](https://mdr.nims.go.jp/datasets/8961e822-eae8-4cf3-880e-e47b9e45cac2)

## Fulltext

phonopy:  version: 2.17.1  frequency_unit_conversion_factor: 15.633302  symmetry_tolerance: 1.00000e-05  configuration:    save_params: ".true."physical_unit:  atomic_mass: "AMU"  length: "angstrom"  force_constants: "eV/angstrom^2"space_group:  type: "Ima2"  number: 46  Hall_symbol: "I 2 -2a"primitive_matrix:- [ -0.500000000000000,  0.500000000000000,  0.500000000000000 ]- [  0.500000000000000, -0.500000000000000,  0.500000000000000 ]- [  0.500000000000000,  0.500000000000000, -0.500000000000000 ]supercell_matrix:- [   1,   0,   0 ]- [   0,   1,   0 ]- [   0,   0,   1 ]primitive_cell:  lattice:  - [    -5.217066230000000,     6.953337315000000,     4.060137195000000 ] # a  - [     5.217066230000000,    -6.953337315000000,     4.060137195000000 ] # b  - [     5.217066230000000,     6.953337315000000,    -4.060137195000000 ] # c  points:  - symbol: Ba # 1    coordinates: [  0.272610410000000,  0.772402720000000,  0.000207690000000 ]    mass: 137.327000  - symbol: Ba # 2    coordinates: [  0.772195030000000,  0.272402720000000,  0.999792310000000 ]    mass: 137.327000  - symbol: Na # 3    coordinates: [  0.520813750000000,  0.020813750000000,  0.500000000000000 ]    mass: 22.989769  - symbol: Na # 4    coordinates: [  0.377050140000000,  0.278124020000000,  0.598926120000000 ]    mass: 22.989769  - symbol: Na # 5    coordinates: [  0.679197900000000,  0.778124020000000,  0.401073880000000 ]    mass: 22.989769  - symbol: Na # 6    coordinates: [  0.520813750000000,  0.520813750000000,  0.000000000000000 ]    mass: 22.989769  - symbol: Ti # 7    coordinates: [  0.262434510000000,  0.546405340000000,  0.216029170000000 ]    mass: 47.867000  - symbol: Ti # 8    coordinates: [  0.330376170000000,  0.046405340000000,  0.783970830000000 ]    mass: 47.867000  - symbol: Ti # 9    coordinates: [  0.824920480000000,  0.542291450000000,  0.782629030000000 ]    mass: 47.867000  - symbol: Ti # 10    coordinates: [  0.759662420000000,  0.042291450000000,  0.217370970000000 ]    mass: 47.867000  - symbol: Si # 11    coordinates: [  0.358968920000000,  0.243140810000000,  0.174293670000000 ]    mass: 28.085500  - symbol: Si # 12    coordinates: [  0.672201950000000,  0.345779570000000,  0.384756500000000 ]    mass: 28.085500  - symbol: Si # 13    coordinates: [  0.961023070000000,  0.287445450000000,  0.615243500000000 ]    mass: 28.085500  - symbol: Si # 14    coordinates: [  0.358968920000000,  0.684675250000000,  0.615828110000000 ]    mass: 28.085500  - symbol: Si # 15    coordinates: [  0.961023070000000,  0.845779570000000,  0.173577620000000 ]    mass: 28.085500  - symbol: Si # 16    coordinates: [  0.068847140000000,  0.184675250000000,  0.825706330000000 ]    mass: 28.085500  - symbol: Si # 17    coordinates: [  0.672201950000000,  0.787445450000000,  0.826422380000000 ]    mass: 28.085500  - symbol: Si # 18    coordinates: [  0.068847140000000,  0.743140810000000,  0.384171890000000 ]    mass: 28.085500  - symbol: O  # 19    coordinates: [  0.365868610000000,  0.683512310000000,  0.447413140000000 ]    mass: 15.999400  - symbol: O  # 20    coordinates: [  0.967871860000000,  0.254498330000000,  0.213373530000000 ]    mass: 15.999400  - symbol: O  # 21    coordinates: [  0.365868610000000,  0.418455470000000,  0.182356300000000 ]    mass: 15.999400  - symbol: O  # 22    coordinates: [  0.236099170000000,  0.183512310000000,  0.817643700000000 ]    mass: 15.999400  - symbol: O  # 23    coordinates: [  0.797362760000000,  0.114137620000000,  0.444353980000000 ]    mass: 15.999400  - symbol: O  # 24    coordinates: [  0.669783640000000,  0.353008780000000,  0.555646020000000 ]    mass: 15.999400  - symbol: O  # 25    coordinates: [  0.513801240000000,  0.354017900000000,  0.341645220000000 ]    mass: 15.999400  - symbol: O  # 26    coordinates: [  0.555560940000000,  0.258303720000000,  0.797257220000000 ]    mass: 15.999400  - symbol: O  # 27    coordinates: [  0.874070710000000,  0.549351250000000,  0.392933740000000 ]    mass: 15.999400  - symbol: O  # 28    coordinates: [  0.896041360000000,  0.376069900000000,  0.758998820000000 ]    mass: 15.999400  - symbol: O  # 29    coordinates: [  0.156417510000000,  0.049351250000000,  0.175280540000000 ]    mass: 15.999400  - symbol: O  # 30    coordinates: [  0.617071080000000,  0.137042540000000,  0.241001180000000 ]    mass: 15.999400  - symbol: O  # 31    coordinates: [  0.617071080000000,  0.876069900000000,  0.980028540000000 ]    mass: 15.999400  - symbol: O  # 32    coordinates: [  0.797362760000000,  0.853008780000000,  0.183225140000000 ]    mass: 15.999400  - symbol: O  # 33    coordinates: [  0.129899860000000,  0.391133520000000,  0.978702500000000 ]    mass: 15.999400  - symbol: O  # 34    coordinates: [  0.129899860000000,  0.651197360000000,  0.238766340000000 ]    mass: 15.999400  - symbol: O  # 35    coordinates: [  0.012372680000000,  0.854017900000000,  0.340216660000000 ]    mass: 15.999400  - symbol: O  # 36    coordinates: [  0.156417510000000,  0.481136970000000,  0.607066260000000 ]    mass: 15.999400  - symbol: O  # 37    coordinates: [  0.874070710000000,  0.981136970000000,  0.824719460000000 ]    mass: 15.999400  - symbol: O  # 38    coordinates: [  0.412431020000000,  0.891133520000000,  0.761233660000000 ]    mass: 15.999400  - symbol: O  # 39    coordinates: [  0.236099170000000,  0.918455470000000,  0.552586860000000 ]    mass: 15.999400  - symbol: O  # 40    coordinates: [  0.041124800000000,  0.754498330000000,  0.786626470000000 ]    mass: 15.999400  - symbol: O  # 41    coordinates: [  0.412431020000000,  0.151197360000000,  0.021297500000000 ]    mass: 15.999400  - symbol: O  # 42    coordinates: [  0.896041360000000,  0.637042540000000,  0.019971460000000 ]    mass: 15.999400  - symbol: O  # 43    coordinates: [  0.669783640000000,  0.614137620000000,  0.816774860000000 ]    mass: 15.999400  - symbol: O  # 44    coordinates: [  0.012372680000000,  0.172156020000000,  0.658354780000000 ]    mass: 15.999400  - symbol: O  # 45    coordinates: [  0.513801240000000,  0.672156020000000,  0.659783340000000 ]    mass: 15.999400  - symbol: O  # 46    coordinates: [  0.461046500000000,  0.758303720000000,  0.202742780000000 ]    mass: 15.999400  reciprocal_lattice: # without 2pi  - [    -0.000000000000000,     0.071907916637581,     0.123148547939647 ] # a*  - [     0.095839304689065,     0.000000000000000,     0.123148547939647 ] # b*  - [     0.095839304689065,     0.071907916637581,     0.000000000000000 ] # c*unit_cell:  lattice:  - [    10.434132460000001,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,    13.906674629999999,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     8.120274390000001 ] # c  points:  - symbol: Ba # 1    coordinates: [  0.750000000000000,  0.250207690000000,  0.022402720000000 ]    mass: 137.327000    reduced_to: 1  - symbol: Ba # 2    coordinates: [  0.250000000000000,  0.749792310000000,  0.022402720000000 ]    mass: 137.327000    reduced_to: 2  - symbol: Ba # 3    coordinates: [  0.250000000000000,  0.750207690000000,  0.522402720000000 ]    mass: 137.327000    reduced_to: 1  - symbol: Ba # 4    coordinates: [  0.750000000000000,  0.249792310000000,  0.522402720000000 ]    mass: 137.327000    reduced_to: 2  - symbol: Na # 5    coordinates: [  0.000000000000000,  0.500000000000000,  0.020813750000000 ]    mass: 22.989769    reduced_to: 5  - symbol: Na # 6    coordinates: [  0.250000000000000,  0.348926120000000,  0.028124020000000 ]    mass: 22.989769    reduced_to: 6  - symbol: Na # 7    coordinates: [  0.750000000000000,  0.651073880000000,  0.028124020000000 ]    mass: 22.989769    reduced_to: 7  - symbol: Na # 8    coordinates: [  0.500000000000000,  0.500000000000000,  0.020813750000000 ]    mass: 22.989769    reduced_to: 8  - symbol: Na # 9    coordinates: [  0.500000000000000,  0.000000000000000,  0.520813750000000 ]    mass: 22.989769    reduced_to: 5  - symbol: Na # 10    coordinates: [  0.750000000000000,  0.848926120000000,  0.528124020000000 ]    mass: 22.989769    reduced_to: 6  - symbol: Na # 11    coordinates: [  0.250000000000000,  0.151073880000000,  0.528124020000000 ]    mass: 22.989769    reduced_to: 7  - symbol: Na # 12    coordinates: [  0.000000000000000,  0.000000000000000,  0.520813750000000 ]    mass: 22.989769    reduced_to: 8  - symbol: Ti # 13    coordinates: [  0.750000000000000,  0.466029170000000,  0.796405340000000 ]    mass: 47.867000    reduced_to: 13  - symbol: Ti # 14    coordinates: [  0.250000000000000,  0.533970830000000,  0.796405340000000 ]    mass: 47.867000    reduced_to: 14  - symbol: Ti # 15    coordinates: [  0.250000000000000,  0.532629030000000,  0.292291450000000 ]    mass: 47.867000    reduced_to: 15  - symbol: Ti # 16    coordinates: [  0.750000000000000,  0.467370970000000,  0.292291450000000 ]    mass: 47.867000    reduced_to: 16  - symbol: Ti # 17    coordinates: [  0.250000000000000,  0.966029170000000,  0.296405340000000 ]    mass: 47.867000    reduced_to: 13  - symbol: Ti # 18    coordinates: [  0.750000000000000,  0.033970830000000,  0.296405340000000 ]    mass: 47.867000    reduced_to: 14  - symbol: Ti # 19    coordinates: [  0.750000000000000,  0.032629030000000,  0.792291450000000 ]    mass: 47.867000    reduced_to: 15  - symbol: Ti # 20    coordinates: [  0.250000000000000,  0.967370970000000,  0.792291450000000 ]    mass: 47.867000    reduced_to: 16  - symbol: Si # 21    coordinates: [  0.529232780000000,  0.645060890000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 21  - symbol: Si # 22    coordinates: [  0.529167060000000,  0.855589440000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 22  - symbol: Si # 23    coordinates: [  0.470832940000000,  0.144410560000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 23  - symbol: Si # 24    coordinates: [  0.470767220000000,  0.145060890000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 24  - symbol: Si # 25    coordinates: [  0.529167060000000,  0.644410560000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 25  - symbol: Si # 26    coordinates: [  0.470767220000000,  0.354939110000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 26  - symbol: Si # 27    coordinates: [  0.470832940000000,  0.355589440000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 27  - symbol: Si # 28    coordinates: [  0.529232780000000,  0.854939110000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 28  - symbol: Si # 29    coordinates: [  0.029232780000000,  0.145060890000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 21  - symbol: Si # 30    coordinates: [  0.029167060000000,  0.355589440000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 22  - symbol: Si # 31    coordinates: [  0.970832940000000,  0.644410560000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 23  - symbol: Si # 32    coordinates: [  0.970767220000000,  0.645060890000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 24  - symbol: Si # 33    coordinates: [  0.029167060000000,  0.144410560000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 25  - symbol: Si # 34    coordinates: [  0.970767220000000,  0.854939110000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 26  - symbol: Si # 35    coordinates: [  0.970832940000000,  0.855589440000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 27  - symbol: Si # 36    coordinates: [  0.029232780000000,  0.354939110000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 28  - symbol: O  # 37    coordinates: [  0.882528420000000,  0.564884720000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 38    coordinates: [  0.750000000000000,  0.463373530000000,  0.504498330000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 39    coordinates: [  0.617471580000000,  0.564884720000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 40    coordinates: [  0.382528420000000,  0.435115280000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 41    coordinates: [  0.880564420000000,  0.563789560000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.119435580000000,  0.436210440000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 43    coordinates: [  0.590930940000000,  0.750714280000000,  0.763086960000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 44    coordinates: [  0.250000000000000,  0.547257220000000,  0.008303720000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 45    coordinates: [  0.534107140000000,  0.858826600000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 46    coordinates: [  0.619513680000000,  0.139485140000000,  0.756556220000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 47    coordinates: [  0.534107140000000,  0.641173400000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 48    coordinates: [  0.380486320000000,  0.860514860000000,  0.756556220000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 49    coordinates: [  0.619513680000000,  0.360514860000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.619435580000000,  0.563789560000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 51    coordinates: [  0.619968080000000,  0.358734420000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 52    coordinates: [  0.380031920000000,  0.858734420000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 53    coordinates: [  0.590930940000000,  0.749285720000000,  0.263086960000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 54    coordinates: [  0.465892860000000,  0.141173400000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 55    coordinates: [  0.465892860000000,  0.358826600000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 56    coordinates: [  0.619968080000000,  0.141265580000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 57    coordinates: [  0.117471580000000,  0.435115280000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.250000000000000,  0.536626470000000,  0.504498330000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 59    coordinates: [  0.380031920000000,  0.641265580000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 60    coordinates: [  0.380486320000000,  0.639485140000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 60  - symbol: O  # 61    coordinates: [  0.380564420000000,  0.436210440000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 62    coordinates: [  0.409069060000000,  0.249285720000000,  0.763086960000000 ]    mass: 15.999400    reduced_to: 62  - symbol: O  # 63    coordinates: [  0.409069060000000,  0.250714280000000,  0.263086960000000 ]    mass: 15.999400    reduced_to: 63  - symbol: O  # 64    coordinates: [  0.750000000000000,  0.452742780000000,  0.008303720000000 ]    mass: 15.999400    reduced_to: 64  - symbol: O  # 65    coordinates: [  0.382528420000000,  0.064884720000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 66    coordinates: [  0.250000000000000,  0.963373530000000,  0.004498330000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 67    coordinates: [  0.117471580000000,  0.064884720000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 68    coordinates: [  0.882528420000000,  0.935115280000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 69    coordinates: [  0.380564420000000,  0.063789560000000,  0.733573200000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 70    coordinates: [  0.619435580000000,  0.936210440000000,  0.733573200000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 71    coordinates: [  0.090930940000000,  0.250714280000000,  0.263086960000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 72    coordinates: [  0.750000000000000,  0.047257220000000,  0.508303720000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 73    coordinates: [  0.034107140000000,  0.358826600000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 74    coordinates: [  0.119513680000000,  0.639485140000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 75    coordinates: [  0.034107140000000,  0.141173400000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 76    coordinates: [  0.880486320000000,  0.360514860000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 77    coordinates: [  0.119513680000000,  0.860514860000000,  0.756556220000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 78    coordinates: [  0.119435580000000,  0.063789560000000,  0.733573200000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 79    coordinates: [  0.119968080000000,  0.858734420000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 80    coordinates: [  0.880031920000000,  0.358734420000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 81    coordinates: [  0.090930940000000,  0.249285720000000,  0.763086960000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 82    coordinates: [  0.965892860000000,  0.641173400000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 83    coordinates: [  0.965892860000000,  0.858826600000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 84    coordinates: [  0.119968080000000,  0.641265580000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 85    coordinates: [  0.617471580000000,  0.935115280000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 86    coordinates: [  0.750000000000000,  0.036626470000000,  0.004498330000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 87    coordinates: [  0.880031920000000,  0.141265580000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 88    coordinates: [  0.880486320000000,  0.139485140000000,  0.756556220000000 ]    mass: 15.999400    reduced_to: 60  - symbol: O  # 89    coordinates: [  0.880564420000000,  0.936210440000000,  0.733573200000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 90    coordinates: [  0.909069060000000,  0.749285720000000,  0.263086960000000 ]    mass: 15.999400    reduced_to: 62  - symbol: O  # 91    coordinates: [  0.909069060000000,  0.750714280000000,  0.763086960000000 ]    mass: 15.999400    reduced_to: 63  - symbol: O  # 92    coordinates: [  0.250000000000000,  0.952742780000000,  0.508303720000000 ]    mass: 15.999400    reduced_to: 64supercell:  lattice:  - [    10.434132460000001,     0.000000000000000,     0.000000000000000 ] # a  - [     0.000000000000000,    13.906674629999999,     0.000000000000000 ] # b  - [     0.000000000000000,     0.000000000000000,     8.120274390000001 ] # c  points:  - symbol: Ba # 1    coordinates: [  0.750000000000000,  0.250207690000000,  0.022402720000000 ]    mass: 137.327000    reduced_to: 1  - symbol: Ba # 2    coordinates: [  0.250000000000000,  0.749792310000000,  0.022402720000000 ]    mass: 137.327000    reduced_to: 2  - symbol: Ba # 3    coordinates: [  0.250000000000000,  0.750207690000000,  0.522402720000000 ]    mass: 137.327000    reduced_to: 1  - symbol: Ba # 4    coordinates: [  0.750000000000000,  0.249792310000000,  0.522402720000000 ]    mass: 137.327000    reduced_to: 2  - symbol: Na # 5    coordinates: [  0.000000000000000,  0.500000000000000,  0.020813750000000 ]    mass: 22.989769    reduced_to: 5  - symbol: Na # 6    coordinates: [  0.250000000000000,  0.348926120000000,  0.028124020000000 ]    mass: 22.989769    reduced_to: 6  - symbol: Na # 7    coordinates: [  0.750000000000000,  0.651073880000000,  0.028124020000000 ]    mass: 22.989769    reduced_to: 7  - symbol: Na # 8    coordinates: [  0.500000000000000,  0.500000000000000,  0.020813750000000 ]    mass: 22.989769    reduced_to: 8  - symbol: Na # 9    coordinates: [  0.500000000000000,  0.000000000000000,  0.520813750000000 ]    mass: 22.989769    reduced_to: 5  - symbol: Na # 10    coordinates: [  0.750000000000000,  0.848926120000000,  0.528124020000000 ]    mass: 22.989769    reduced_to: 6  - symbol: Na # 11    coordinates: [  0.250000000000000,  0.151073880000000,  0.528124020000000 ]    mass: 22.989769    reduced_to: 7  - symbol: Na # 12    coordinates: [  0.000000000000000,  0.000000000000000,  0.520813750000000 ]    mass: 22.989769    reduced_to: 8  - symbol: Ti # 13    coordinates: [  0.750000000000000,  0.466029170000000,  0.796405340000000 ]    mass: 47.867000    reduced_to: 13  - symbol: Ti # 14    coordinates: [  0.250000000000000,  0.533970830000000,  0.796405340000000 ]    mass: 47.867000    reduced_to: 14  - symbol: Ti # 15    coordinates: [  0.250000000000000,  0.532629030000000,  0.292291450000000 ]    mass: 47.867000    reduced_to: 15  - symbol: Ti # 16    coordinates: [  0.750000000000000,  0.467370970000000,  0.292291450000000 ]    mass: 47.867000    reduced_to: 16  - symbol: Ti # 17    coordinates: [  0.250000000000000,  0.966029170000000,  0.296405340000000 ]    mass: 47.867000    reduced_to: 13  - symbol: Ti # 18    coordinates: [  0.750000000000000,  0.033970830000000,  0.296405340000000 ]    mass: 47.867000    reduced_to: 14  - symbol: Ti # 19    coordinates: [  0.750000000000000,  0.032629030000000,  0.792291450000000 ]    mass: 47.867000    reduced_to: 15  - symbol: Ti # 20    coordinates: [  0.250000000000000,  0.967370970000000,  0.792291450000000 ]    mass: 47.867000    reduced_to: 16  - symbol: Si # 21    coordinates: [  0.529232780000000,  0.645060890000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 21  - symbol: Si # 22    coordinates: [  0.529167060000000,  0.855589440000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 22  - symbol: Si # 23    coordinates: [  0.470832940000000,  0.144410560000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 23  - symbol: Si # 24    coordinates: [  0.470767220000000,  0.145060890000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 24  - symbol: Si # 25    coordinates: [  0.529167060000000,  0.644410560000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 25  - symbol: Si # 26    coordinates: [  0.470767220000000,  0.354939110000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 26  - symbol: Si # 27    coordinates: [  0.470832940000000,  0.355589440000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 27  - symbol: Si # 28    coordinates: [  0.529232780000000,  0.854939110000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 28  - symbol: Si # 29    coordinates: [  0.029232780000000,  0.145060890000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 21  - symbol: Si # 30    coordinates: [  0.029167060000000,  0.355589440000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 22  - symbol: Si # 31    coordinates: [  0.970832940000000,  0.644410560000000,  0.316612510000000 ]    mass: 28.085500    reduced_to: 23  - symbol: Si # 32    coordinates: [  0.970767220000000,  0.645060890000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 24  - symbol: Si # 33    coordinates: [  0.029167060000000,  0.144410560000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 25  - symbol: Si # 34    coordinates: [  0.970767220000000,  0.854939110000000,  0.213908030000000 ]    mass: 28.085500    reduced_to: 26  - symbol: Si # 35    coordinates: [  0.970832940000000,  0.855589440000000,  0.816612510000000 ]    mass: 28.085500    reduced_to: 27  - symbol: Si # 36    coordinates: [  0.029232780000000,  0.354939110000000,  0.713908030000000 ]    mass: 28.085500    reduced_to: 28  - symbol: O  # 37    coordinates: [  0.882528420000000,  0.564884720000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 38    coordinates: [  0.750000000000000,  0.463373530000000,  0.504498330000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 39    coordinates: [  0.617471580000000,  0.564884720000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 40    coordinates: [  0.382528420000000,  0.435115280000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 41    coordinates: [  0.880564420000000,  0.563789560000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 42    coordinates: [  0.119435580000000,  0.436210440000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 43    coordinates: [  0.590930940000000,  0.750714280000000,  0.763086960000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 44    coordinates: [  0.250000000000000,  0.547257220000000,  0.008303720000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 45    coordinates: [  0.534107140000000,  0.858826600000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 46    coordinates: [  0.619513680000000,  0.139485140000000,  0.756556220000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 47    coordinates: [  0.534107140000000,  0.641173400000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 48    coordinates: [  0.380486320000000,  0.860514860000000,  0.756556220000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 49    coordinates: [  0.619513680000000,  0.360514860000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 50    coordinates: [  0.619435580000000,  0.563789560000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 51    coordinates: [  0.619968080000000,  0.358734420000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 52    coordinates: [  0.380031920000000,  0.858734420000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 53    coordinates: [  0.590930940000000,  0.749285720000000,  0.263086960000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 54    coordinates: [  0.465892860000000,  0.141173400000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 55    coordinates: [  0.465892860000000,  0.358826600000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 56    coordinates: [  0.619968080000000,  0.141265580000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 57    coordinates: [  0.117471580000000,  0.435115280000000,  0.800983890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 58    coordinates: [  0.250000000000000,  0.536626470000000,  0.504498330000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 59    coordinates: [  0.380031920000000,  0.641265580000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 59  - symbol: O  # 60    coordinates: [  0.380486320000000,  0.639485140000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 60  - symbol: O  # 61    coordinates: [  0.380564420000000,  0.436210440000000,  0.233573200000000 ]    mass: 15.999400    reduced_to: 61  - symbol: O  # 62    coordinates: [  0.409069060000000,  0.249285720000000,  0.763086960000000 ]    mass: 15.999400    reduced_to: 62  - symbol: O  # 63    coordinates: [  0.409069060000000,  0.250714280000000,  0.263086960000000 ]    mass: 15.999400    reduced_to: 63  - symbol: O  # 64    coordinates: [  0.750000000000000,  0.452742780000000,  0.008303720000000 ]    mass: 15.999400    reduced_to: 64  - symbol: O  # 65    coordinates: [  0.382528420000000,  0.064884720000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 37  - symbol: O  # 66    coordinates: [  0.250000000000000,  0.963373530000000,  0.004498330000000 ]    mass: 15.999400    reduced_to: 38  - symbol: O  # 67    coordinates: [  0.117471580000000,  0.064884720000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 39  - symbol: O  # 68    coordinates: [  0.882528420000000,  0.935115280000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 40  - symbol: O  # 69    coordinates: [  0.380564420000000,  0.063789560000000,  0.733573200000000 ]    mass: 15.999400    reduced_to: 41  - symbol: O  # 70    coordinates: [  0.619435580000000,  0.936210440000000,  0.733573200000000 ]    mass: 15.999400    reduced_to: 42  - symbol: O  # 71    coordinates: [  0.090930940000000,  0.250714280000000,  0.263086960000000 ]    mass: 15.999400    reduced_to: 43  - symbol: O  # 72    coordinates: [  0.750000000000000,  0.047257220000000,  0.508303720000000 ]    mass: 15.999400    reduced_to: 44  - symbol: O  # 73    coordinates: [  0.034107140000000,  0.358826600000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 45  - symbol: O  # 74    coordinates: [  0.119513680000000,  0.639485140000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 46  - symbol: O  # 75    coordinates: [  0.034107140000000,  0.141173400000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 47  - symbol: O  # 76    coordinates: [  0.880486320000000,  0.360514860000000,  0.256556220000000 ]    mass: 15.999400    reduced_to: 48  - symbol: O  # 77    coordinates: [  0.119513680000000,  0.860514860000000,  0.756556220000000 ]    mass: 15.999400    reduced_to: 49  - symbol: O  # 78    coordinates: [  0.119435580000000,  0.063789560000000,  0.733573200000000 ]    mass: 15.999400    reduced_to: 50  - symbol: O  # 79    coordinates: [  0.119968080000000,  0.858734420000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 51  - symbol: O  # 80    coordinates: [  0.880031920000000,  0.358734420000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 52  - symbol: O  # 81    coordinates: [  0.090930940000000,  0.249285720000000,  0.763086960000000 ]    mass: 15.999400    reduced_to: 53  - symbol: O  # 82    coordinates: [  0.965892860000000,  0.641173400000000,  0.515244110000000 ]    mass: 15.999400    reduced_to: 54  - symbol: O  # 83    coordinates: [  0.965892860000000,  0.858826600000000,  0.015244110000000 ]    mass: 15.999400    reduced_to: 55  - symbol: O  # 84    coordinates: [  0.119968080000000,  0.641265580000000,  0.771165440000000 ]    mass: 15.999400    reduced_to: 56  - symbol: O  # 85    coordinates: [  0.617471580000000,  0.935115280000000,  0.300983890000000 ]    mass: 15.999400    reduced_to: 57  - symbol: O  # 86    coordinates: [  0.750000000000000,  0.036626470000000,  0.004498330000000 ]    mass: 15.999400    reduced_to: 58  - symbol: O  # 87    coordinates: [  0.880031920000000,  0.141265580000000,  0.271165440000000 ]    mass: 15.999400    reduced_to: 59  - 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