# Fileset [phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/cbb547fe-dfbc-4e99-998f-baa95c173f70/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 SrCaSiO4 / Pna2_1 (33) / materials id 554006](https://mdr.nims.go.jp/datasets/ee54ce56-3317-462f-8671-22eff35135ec) ## 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: "Pna2_1" number: 33 Hall_symbol: "P 2c -2n"supercell_matrix:- [ 1, 0, 0 ]- [ 0, 1, 0 ]- [ 0, 0, 1 ]primitive_cell: lattice: - [ 20.809320700000001, 0.000000000000000, 0.000000000000000 ] # a - [ 0.000000000000000, 9.322402270000000, 0.000000000000000 ] # b - [ 0.000000000000000, 0.000000000000000, 5.563984250000000 ] # c points: - symbol: Sr # 1 coordinates: [ 0.390483400000000, 0.422653430000000, 0.736285010000000 ] mass: 87.620000 - symbol: Sr # 2 coordinates: [ 0.943223880000000, 0.575285440000000, 0.210025700000000 ] mass: 87.620000 - symbol: Sr # 3 coordinates: [ 0.890483400000000, 0.077346570000000, 0.736285010000000 ] mass: 87.620000 - symbol: Sr # 4 coordinates: [ 0.609516600000000, 0.577346570000000, 0.236285010000000 ] mass: 87.620000 - symbol: Sr # 5 coordinates: [ 0.777530420000000, 0.925873340000000, 0.261085070000000 ] mass: 87.620000 - symbol: Sr # 6 coordinates: [ 0.277530420000000, 0.574126660000000, 0.261085070000000 ] mass: 87.620000 - symbol: Sr # 7 coordinates: [ 0.556776120000000, 0.075285440000000, 0.710025700000000 ] mass: 87.620000 - symbol: Sr # 8 coordinates: [ 0.056776120000000, 0.424714560000000, 0.710025700000000 ] mass: 87.620000 - symbol: Sr # 9 coordinates: [ 0.722469580000000, 0.425873340000000, 0.761085070000000 ] mass: 87.620000 - symbol: Sr # 10 coordinates: [ 0.222469580000000, 0.074126660000000, 0.761085070000000 ] mass: 87.620000 - symbol: Sr # 11 coordinates: [ 0.443223880000000, 0.924714560000000, 0.210025700000000 ] mass: 87.620000 - symbol: Sr # 12 coordinates: [ 0.109516600000000, 0.922653430000000, 0.236285010000000 ] mass: 87.620000 - symbol: Ca # 13 coordinates: [ 0.335137860000000, 0.795207210000000, 0.758369080000000 ] mass: 40.078000 - symbol: Ca # 14 coordinates: [ 0.164862140000000, 0.295207210000000, 0.258369080000000 ] mass: 40.078000 - symbol: Ca # 15 coordinates: [ 0.168259510000000, 0.700931070000000, 0.751873150000000 ] mass: 40.078000 - symbol: Ca # 16 coordinates: [ 0.003256110000000, 0.799296090000000, 0.707508030000000 ] mass: 40.078000 - symbol: Ca # 17 coordinates: [ 0.331740490000000, 0.200931070000000, 0.251873150000000 ] mass: 40.078000 - symbol: Ca # 18 coordinates: [ 0.668259510000000, 0.799068930000000, 0.751873150000000 ] mass: 40.078000 - symbol: Ca # 19 coordinates: [ 0.664862140000000, 0.204792790000000, 0.258369080000000 ] mass: 40.078000 - symbol: Ca # 20 coordinates: [ 0.835137860000000, 0.704792790000000, 0.758369080000000 ] mass: 40.078000 - symbol: Ca # 21 coordinates: [ 0.831740490000000, 0.299068930000000, 0.251873150000000 ] mass: 40.078000 - symbol: Ca # 22 coordinates: [ 0.503256110000000, 0.700703910000000, 0.707508030000000 ] mass: 40.078000 - symbol: Ca # 23 coordinates: [ 0.496743890000000, 0.299296090000000, 0.207508030000000 ] mass: 40.078000 - symbol: Ca # 24 coordinates: [ 0.996743890000000, 0.200703910000000, 0.207508030000000 ] mass: 40.078000 - symbol: Si # 25 coordinates: [ 0.574293230000000, 0.414081330000000, 0.741819490000000 ] mass: 28.085500 - symbol: Si # 26 coordinates: [ 0.257147550000000, 0.916198050000000, 0.249969720000000 ] mass: 28.085500 - symbol: Si # 27 coordinates: [ 0.093413430000000, 0.583032040000000, 0.208949260000000 ] mass: 28.085500 - symbol: Si # 28 coordinates: [ 0.425706770000000, 0.585918670000000, 0.241819490000000 ] mass: 28.085500 - symbol: Si # 29 coordinates: [ 0.925706770000000, 0.914081330000000, 0.241819490000000 ] mass: 28.085500 - symbol: Si # 30 coordinates: [ 0.742852450000000, 0.083801950000000, 0.749969720000000 ] mass: 28.085500 - symbol: Si # 31 coordinates: [ 0.593413430000000, 0.916967960000000, 0.208949260000000 ] mass: 28.085500 - symbol: Si # 32 coordinates: [ 0.906586570000000, 0.416967960000000, 0.708949260000000 ] mass: 28.085500 - symbol: Si # 33 coordinates: [ 0.406586570000000, 0.083032040000000, 0.708949260000000 ] mass: 28.085500 - symbol: Si # 34 coordinates: [ 0.757147550000000, 0.583801950000000, 0.249969720000000 ] mass: 28.085500 - symbol: Si # 35 coordinates: [ 0.242852450000000, 0.416198050000000, 0.749969720000000 ] mass: 28.085500 - symbol: Si # 36 coordinates: [ 0.074293230000000, 0.085918670000000, 0.741819490000000 ] mass: 28.085500 - symbol: O # 37 coordinates: [ 0.108559540000000, 0.168874180000000, 0.970643870000000 ] mass: 15.999400 - symbol: O # 38 coordinates: [ 0.050157730000000, 0.433911240000000, 0.207031440000000 ] mass: 15.999400 - symbol: O # 39 coordinates: [ 0.779529710000000, 0.929539390000000, 0.804393370000000 ] mass: 15.999400 - symbol: O # 40 coordinates: [ 0.252661970000000, 0.308592950000000, 0.981272940000000 ] mass: 15.999400 - symbol: O # 41 coordinates: [ 0.669780850000000, 0.055529740000000, 0.656534470000000 ] mass: 15.999400 - symbol: O # 42 coordinates: [ 0.330219150000000, 0.944470260000000, 0.156534470000000 ] mass: 15.999400 - symbol: O # 43 coordinates: [ 0.279960640000000, 0.344853770000000, 0.517044890000000 ] mass: 15.999400 - symbol: O # 44 coordinates: [ 0.391440460000000, 0.668874180000000, 0.470643870000000 ] mass: 15.999400 - symbol: O # 45 coordinates: [ 0.550157730000000, 0.066088760000000, 0.207031440000000 ] mass: 15.999400 - symbol: O # 46 coordinates: [ 0.720039360000000, 0.655146230000000, 0.017044890000000 ] mass: 15.999400 - symbol: O # 47 coordinates: [ 0.501351200000000, 0.447266150000000, 0.831228510000000 ] mass: 15.999400 - symbol: O # 48 coordinates: [ 0.998648800000000, 0.947266150000000, 0.331228510000000 ] mass: 15.999400 - symbol: O # 49 coordinates: [ 0.830219150000000, 0.555529740000000, 0.156534470000000 ] mass: 15.999400 - symbol: O # 50 coordinates: [ 0.449842270000000, 0.933911240000000, 0.707031440000000 ] mass: 15.999400 - symbol: O # 51 coordinates: [ 0.081462330000000, 0.185937540000000, 0.500428970000000 ] mass: 15.999400 - symbol: O # 52 coordinates: [ 0.431279160000000, 0.186822640000000, 0.488221800000000 ] mass: 15.999400 - symbol: O # 53 coordinates: [ 0.918537670000000, 0.814062460000000, 0.000428970000000 ] mass: 15.999400 - symbol: O # 54 coordinates: [ 0.612583200000000, 0.566329770000000, 0.696646050000000 ] mass: 15.999400 - symbol: O # 55 coordinates: [ 0.667658760000000, 0.958057070000000, 0.154731700000000 ] mass: 15.999400 - symbol: O # 56 coordinates: [ 0.498648800000000, 0.552733850000000, 0.331228510000000 ] mass: 15.999400 - symbol: O # 57 coordinates: [ 0.418537670000000, 0.685937540000000, 0.000428970000000 ] mass: 15.999400 - symbol: O # 58 coordinates: [ 0.931279160000000, 0.313177360000000, 0.488221800000000 ] mass: 15.999400 - symbol: O # 59 coordinates: [ 0.080262970000000, 0.666660580000000, 0.463937510000000 ] mass: 15.999400 - 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symbol: O # 70 coordinates: [ 0.068720840000000, 0.686822640000000, 0.988221800000000 ] mass: 15.999400 - symbol: O # 71 coordinates: [ 0.580262970000000, 0.833339420000000, 0.463937510000000 ] mass: 15.999400 - symbol: O # 72 coordinates: [ 0.112583200000000, 0.933670230000000, 0.696646050000000 ] mass: 15.999400 - symbol: O # 73 coordinates: [ 0.247338030000000, 0.808592950000000, 0.481272940000000 ] mass: 15.999400 - symbol: O # 74 coordinates: [ 0.169780850000000, 0.444470260000000, 0.656534470000000 ] mass: 15.999400 - symbol: O # 75 coordinates: [ 0.279529710000000, 0.570460610000000, 0.804393370000000 ] mass: 15.999400 - symbol: O # 76 coordinates: [ 0.581462330000000, 0.314062460000000, 0.500428970000000 ] mass: 15.999400 - symbol: O # 77 coordinates: [ 0.832341240000000, 0.458057070000000, 0.654731700000000 ] mass: 15.999400 - symbol: O # 78 coordinates: [ 0.332341240000000, 0.041942930000000, 0.654731700000000 ] mass: 15.999400 - symbol: O # 79 coordinates: [ 0.220039360000000, 0.844853770000000, 0.017044890000000 ] mass: 15.999400 - symbol: O # 80 coordinates: [ 0.167658760000000, 0.541942930000000, 0.154731700000000 ] mass: 15.999400 - symbol: O # 81 coordinates: [ 0.419737030000000, 0.166660580000000, 0.963937510000000 ] mass: 15.999400 - symbol: O # 82 coordinates: [ 0.720470290000000, 0.429539390000000, 0.304393370000000 ] mass: 15.999400 - symbol: O # 83 coordinates: [ 0.779960640000000, 0.155146230000000, 0.517044890000000 ] mass: 15.999400 - symbol: O # 84 coordinates: [ 0.887416800000000, 0.066329770000000, 0.196646050000000 ] mass: 15.999400 reciprocal_lattice: # without 2pi - [ 0.048055388948857, 0.000000000000000, 0.000000000000000 ] # a* - [ 0.000000000000000, 0.107268488425784, 0.000000000000000 ] # b* - [ 0.000000000000000, 0.000000000000000, 0.179727323994492 ] # c*unit_cell: lattice: - [ 20.809320700000001, 0.000000000000000, 0.000000000000000 ] # a - [ 0.000000000000000, 9.322402270000000, 0.000000000000000 ] # b - [ 0.000000000000000, 0.000000000000000, 5.563984250000000 ] # c points: - symbol: Sr # 1 coordinates: [ 0.390483400000000, 0.422653430000000, 0.736285010000000 ] mass: 87.620000 reduced_to: 1 - symbol: Sr # 2 coordinates: [ 0.943223880000000, 0.575285440000000, 0.210025700000000 ] mass: 87.620000 reduced_to: 2 - symbol: Sr # 3 coordinates: [ 0.890483400000000, 0.077346570000000, 0.736285010000000 ] mass: 87.620000 reduced_to: 3 - symbol: Sr # 4 coordinates: [ 0.609516600000000, 0.577346570000000, 0.236285010000000 ] mass: 87.620000 reduced_to: 4 - symbol: Sr # 5 coordinates: [ 0.777530420000000, 0.925873340000000, 0.261085070000000 ] mass: 87.620000 reduced_to: 5 - symbol: Sr # 6 coordinates: [ 0.277530420000000, 0.574126660000000, 0.261085070000000 ] mass: 87.620000 reduced_to: 6 - symbol: Sr # 7 coordinates: [ 0.556776120000000, 0.075285440000000, 0.710025700000000 ] mass: 87.620000 reduced_to: 7 - symbol: Sr # 8 coordinates: [ 0.056776120000000, 0.424714560000000, 0.710025700000000 ] mass: 87.620000 reduced_to: 8 - symbol: Sr # 9 coordinates: [ 0.722469580000000, 0.425873340000000, 0.761085070000000 ] mass: 87.620000 reduced_to: 9 - symbol: Sr # 10 coordinates: [ 0.222469580000000, 0.074126660000000, 0.761085070000000 ] mass: 87.620000 reduced_to: 10 - symbol: Sr # 11 coordinates: [ 0.443223880000000, 0.924714560000000, 0.210025700000000 ] mass: 87.620000 reduced_to: 11 - symbol: Sr # 12 coordinates: [ 0.109516600000000, 0.922653430000000, 0.236285010000000 ] mass: 87.620000 reduced_to: 12 - symbol: Ca # 13 coordinates: [ 0.335137860000000, 0.795207210000000, 0.758369080000000 ] mass: 40.078000 reduced_to: 13 - symbol: Ca # 14 coordinates: [ 0.164862140000000, 0.295207210000000, 0.258369080000000 ] mass: 40.078000 reduced_to: 14 - symbol: Ca # 15 coordinates: [ 0.168259510000000, 0.700931070000000, 0.751873150000000 ] mass: 40.078000 reduced_to: 15 - symbol: Ca # 16 coordinates: [ 0.003256110000000, 0.799296090000000, 0.707508030000000 ] mass: 40.078000 reduced_to: 16 - symbol: Ca # 17 coordinates: [ 0.331740490000000, 0.200931070000000, 0.251873150000000 ] mass: 40.078000 reduced_to: 17 - symbol: Ca # 18 coordinates: [ 0.668259510000000, 0.799068930000000, 0.751873150000000 ] mass: 40.078000 reduced_to: 18 - symbol: Ca # 19 coordinates: [ 0.664862140000000, 0.204792790000000, 0.258369080000000 ] mass: 40.078000 reduced_to: 19 - symbol: Ca # 20 coordinates: [ 0.835137860000000, 0.704792790000000, 0.758369080000000 ] mass: 40.078000 reduced_to: 20 - symbol: Ca # 21 coordinates: [ 0.831740490000000, 0.299068930000000, 0.251873150000000 ] mass: 40.078000 reduced_to: 21 - symbol: Ca # 22 coordinates: [ 0.503256110000000, 0.700703910000000, 0.707508030000000 ] mass: 40.078000 reduced_to: 22 - symbol: Ca # 23 coordinates: [ 0.496743890000000, 0.299296090000000, 0.207508030000000 ] mass: 40.078000 reduced_to: 23 - symbol: Ca # 24 coordinates: [ 0.996743890000000, 0.200703910000000, 0.207508030000000 ] mass: 40.078000 reduced_to: 24 - symbol: Si # 25 coordinates: [ 0.574293230000000, 0.414081330000000, 0.741819490000000 ] mass: 28.085500 reduced_to: 25 - symbol: Si # 26 coordinates: [ 0.257147550000000, 0.916198050000000, 0.249969720000000 ] mass: 28.085500 reduced_to: 26 - symbol: Si # 27 coordinates: [ 0.093413430000000, 0.583032040000000, 0.208949260000000 ] mass: 28.085500 reduced_to: 27 - symbol: Si # 28 coordinates: [ 0.425706770000000, 0.585918670000000, 0.241819490000000 ] mass: 28.085500 reduced_to: 28 - symbol: Si # 29 coordinates: [ 0.925706770000000, 0.914081330000000, 0.241819490000000 ] mass: 28.085500 reduced_to: 29 - symbol: Si # 30 coordinates: [ 0.742852450000000, 0.083801950000000, 0.749969720000000 ] mass: 28.085500 reduced_to: 30 - symbol: Si # 31 coordinates: [ 0.593413430000000, 0.916967960000000, 0.208949260000000 ] mass: 28.085500 reduced_to: 31 - symbol: Si # 32 coordinates: [ 0.906586570000000, 0.416967960000000, 0.708949260000000 ] mass: 28.085500 reduced_to: 32 - symbol: Si # 33 coordinates: [ 0.406586570000000, 0.083032040000000, 0.708949260000000 ] mass: 28.085500 reduced_to: 33 - symbol: Si # 34 coordinates: [ 0.757147550000000, 0.583801950000000, 0.249969720000000 ] mass: 28.085500 reduced_to: 34 - symbol: Si # 35 coordinates: [ 0.242852450000000, 0.416198050000000, 0.749969720000000 ] mass: 28.085500 reduced_to: 35 - symbol: Si # 36 coordinates: [ 0.074293230000000, 0.085918670000000, 0.741819490000000 ] mass: 28.085500 reduced_to: 36 - symbol: O # 37 coordinates: [ 0.108559540000000, 0.168874180000000, 0.970643870000000 ] mass: 15.999400 reduced_to: 37 - symbol: O # 38 coordinates: [ 0.050157730000000, 0.433911240000000, 0.207031440000000 ] mass: 15.999400 reduced_to: 38 - symbol: O # 39 coordinates: [ 0.779529710000000, 0.929539390000000, 0.804393370000000 ] mass: 15.999400 reduced_to: 39 - symbol: O # 40 coordinates: [ 0.252661970000000, 0.308592950000000, 0.981272940000000 ] mass: 15.999400 reduced_to: 40 - symbol: O # 41 coordinates: [ 0.669780850000000, 0.055529740000000, 0.656534470000000 ] mass: 15.999400 reduced_to: 41 - symbol: O # 42 coordinates: [ 0.330219150000000, 0.944470260000000, 0.156534470000000 ] mass: 15.999400 reduced_to: 42 - symbol: O # 43 coordinates: [ 0.279960640000000, 0.344853770000000, 0.517044890000000 ] mass: 15.999400 reduced_to: 43 - symbol: O # 44 coordinates: [ 0.391440460000000, 0.668874180000000, 0.470643870000000 ] mass: 15.999400 reduced_to: 44 - symbol: O # 45 coordinates: [ 0.550157730000000, 0.066088760000000, 0.207031440000000 ] mass: 15.999400 reduced_to: 45 - symbol: O # 46 coordinates: [ 0.720039360000000, 0.655146230000000, 0.017044890000000 ] mass: 15.999400 reduced_to: 46 - symbol: O # 47 coordinates: [ 0.501351200000000, 0.447266150000000, 0.831228510000000 ] mass: 15.999400 reduced_to: 47 - symbol: O # 48 coordinates: [ 0.998648800000000, 0.947266150000000, 0.331228510000000 ] mass: 15.999400 reduced_to: 48 - symbol: O # 49 coordinates: [ 0.830219150000000, 0.555529740000000, 0.156534470000000 ] mass: 15.999400 reduced_to: 49 - symbol: O # 50 coordinates: [ 0.449842270000000, 0.933911240000000, 0.707031440000000 ] mass: 15.999400 reduced_to: 50 - symbol: O # 51 coordinates: [ 0.081462330000000, 0.185937540000000, 0.500428970000000 ] mass: 15.999400 reduced_to: 51 - symbol: O # 52 coordinates: [ 0.431279160000000, 0.186822640000000, 0.488221800000000 ] mass: 15.999400 reduced_to: 52 - symbol: O # 53 coordinates: [ 0.918537670000000, 0.814062460000000, 0.000428970000000 ] mass: 15.999400 reduced_to: 53 - symbol: O # 54 coordinates: [ 0.612583200000000, 0.566329770000000, 0.696646050000000 ] mass: 15.999400 reduced_to: 54 - symbol: O # 55 coordinates: [ 0.667658760000000, 0.958057070000000, 0.154731700000000 ] mass: 15.999400 reduced_to: 55 - symbol: O # 56 coordinates: [ 0.498648800000000, 0.552733850000000, 0.331228510000000 ] mass: 15.999400 reduced_to: 56 - symbol: O # 57 coordinates: [ 0.418537670000000, 0.685937540000000, 0.000428970000000 ] mass: 15.999400 reduced_to: 57 - symbol: O # 58 coordinates: [ 0.931279160000000, 0.313177360000000, 0.488221800000000 ] mass: 15.999400 reduced_to: 58 - symbol: O # 59 coordinates: [ 0.080262970000000, 0.666660580000000, 0.463937510000000 ] mass: 15.999400 reduced_to: 59 - symbol: O # 60 coordinates: [ 0.747338030000000, 0.691407050000000, 0.481272940000000 ] mass: 15.999400 reduced_to: 60 - symbol: O # 61 coordinates: [ 0.220470290000000, 0.070460610000000, 0.304393370000000 ] mass: 15.999400 reduced_to: 61 - symbol: O # 62 coordinates: [ 0.387416800000000, 0.433670230000000, 0.196646050000000 ] mass: 15.999400 reduced_to: 62 - symbol: O # 63 coordinates: [ 0.919737030000000, 0.333339420000000, 0.963937510000000 ] mass: 15.999400 reduced_to: 63 - symbol: O # 64 coordinates: [ 0.608559540000000, 0.331125820000000, 0.970643870000000 ] mass: 15.999400 reduced_to: 64 - symbol: O # 65 coordinates: [ 0.949842270000000, 0.566088760000000, 0.707031440000000 ] mass: 15.999400 reduced_to: 65 - symbol: O # 66 coordinates: [ 0.001351200000000, 0.052733850000000, 0.831228510000000 ] mass: 15.999400 reduced_to: 66 - symbol: O # 67 coordinates: [ 0.752661970000000, 0.191407050000000, 0.981272940000000 ] mass: 15.999400 reduced_to: 67 - symbol: O # 68 coordinates: [ 0.891440460000000, 0.831125820000000, 0.470643870000000 ] mass: 15.999400 reduced_to: 68 - symbol: O # 69 coordinates: [ 0.568720840000000, 0.813177360000000, 0.988221800000000 ] mass: 15.999400 reduced_to: 69 - symbol: O # 70 coordinates: [ 0.068720840000000, 0.686822640000000, 0.988221800000000 ] mass: 15.999400 reduced_to: 70 - symbol: O # 71 coordinates: [ 0.580262970000000, 0.833339420000000, 0.463937510000000 ] mass: 15.999400 reduced_to: 71 - symbol: O # 72 coordinates: [ 0.112583200000000, 0.933670230000000, 0.696646050000000 ] mass: 15.999400 reduced_to: 72 - symbol: O # 73 coordinates: [ 0.247338030000000, 0.808592950000000, 0.481272940000000 ] mass: 15.999400 reduced_to: 73 - symbol: O # 74 coordinates: [ 0.169780850000000, 0.444470260000000, 0.656534470000000 ] mass: 15.999400 reduced_to: 74 - symbol: O # 75 coordinates: [ 0.279529710000000, 0.570460610000000, 0.804393370000000 ] mass: 15.999400 reduced_to: 75 - symbol: O # 76 coordinates: [ 0.581462330000000, 0.314062460000000, 0.500428970000000 ] mass: 15.999400 reduced_to: 76 - symbol: O # 77 coordinates: [ 0.832341240000000, 0.458057070000000, 0.654731700000000 ] mass: 15.999400 reduced_to: 77 - symbol: O # 78 coordinates: [ 0.332341240000000, 0.041942930000000, 0.654731700000000 ] mass: 15.999400 reduced_to: 78 - symbol: O # 79 coordinates: [ 0.220039360000000, 0.844853770000000, 0.017044890000000 ] mass: 15.999400 reduced_to: 79 - symbol: O # 80 coordinates: [ 0.167658760000000, 0.541942930000000, 0.154731700000000 ] mass: 15.999400 reduced_to: 80 - symbol: O # 81 coordinates: [ 0.419737030000000, 0.166660580000000, 0.963937510000000 ] mass: 15.999400 reduced_to: 81 - symbol: O # 82 coordinates: [ 0.720470290000000, 0.429539390000000, 0.304393370000000 ] mass: 15.999400 reduced_to: 82 - 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