# Fileset [phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/535bcbee-bfaf-409c-a75f-ae1b8f86f91e/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 Si3Bi2O9 / P6_3/m (176) / materials id 558672](https://mdr.nims.go.jp/datasets/7df54ace-f5dd-42d9-993f-1eb00796016f) ## 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: - [ 6.781630720000000, -0.000000020000000, 0.000000000000000 ] # a - [ -3.390815350000000, 5.873064500000000, 0.000000000000000 ] # b - [ 0.000000000000000, 0.000000000000000, 9.617687710000000 ] # c points: - symbol: Si # 1 coordinates: [ 0.718599490000000, 0.938095590000000, 0.750000000000000 ] mass: 28.085500 - symbol: Si # 2 coordinates: [ 0.061904410000000, 0.780503900000000, 0.750000000000000 ] mass: 28.085500 - symbol: Si # 3 coordinates: [ 0.281400510000000, 0.061904410000000, 0.250000000000000 ] mass: 28.085500 - symbol: Si # 4 coordinates: [ 0.780503900000000, 0.718599490000000, 0.250000000000000 ] mass: 28.085500 - symbol: Si # 5 coordinates: [ 0.219496100000000, 0.281400510000000, 0.750000000000000 ] mass: 28.085500 - symbol: Si # 6 coordinates: [ 0.938095590000000, 0.219496100000000, 0.250000000000000 ] mass: 28.085500 - symbol: Bi # 7 coordinates: [ 0.666666670000000, 0.333333330000000, 0.528211780000000 ] mass: 208.980400 - symbol: Bi # 8 coordinates: [ 0.666666670000000, 0.333333330000000, 0.971788220000000 ] mass: 208.980400 - symbol: Bi # 9 coordinates: [ 0.333333330000000, 0.666666670000000, 0.028211780000000 ] mass: 208.980400 - symbol: Bi # 10 coordinates: [ 0.333333330000000, 0.666666670000000, 0.471788220000000 ] mass: 208.980400 - symbol: O # 11 coordinates: [ 0.750494780000000, 0.946337410000000, 0.250000000000000 ] mass: 15.999400 - symbol: O # 12 coordinates: [ 0.070263560000000, 0.654006490000000, 0.608643770000000 ] mass: 15.999400 - symbol: O # 13 coordinates: [ 0.583742930000000, 0.929736440000000, 0.891356230000000 ] mass: 15.999400 - symbol: O # 14 coordinates: [ 0.804157370000000, 0.750494780000000, 0.750000000000000 ] mass: 15.999400 - symbol: O # 15 coordinates: [ 0.195842630000000, 0.249505220000000, 0.250000000000000 ] mass: 15.999400 - symbol: O # 16 coordinates: [ 0.654006490000000, 0.583742930000000, 0.391356230000000 ] mass: 15.999400 - symbol: O # 17 coordinates: [ 0.654006490000000, 0.583742930000000, 0.108643770000000 ] mass: 15.999400 - symbol: O # 18 coordinates: [ 0.946337410000000, 0.195842630000000, 0.750000000000000 ] mass: 15.999400 - symbol: O # 19 coordinates: [ 0.249505220000000, 0.053662590000000, 0.750000000000000 ] mass: 15.999400 - symbol: O # 20 coordinates: [ 0.345993510000000, 0.416257070000000, 0.608643770000000 ] mass: 15.999400 - symbol: O # 21 coordinates: [ 0.929736440000000, 0.345993510000000, 0.391356230000000 ] mass: 15.999400 - symbol: O # 22 coordinates: [ 0.345993510000000, 0.416257070000000, 0.891356230000000 ] mass: 15.999400 - symbol: O # 23 coordinates: [ 0.416257070000000, 0.070263560000000, 0.108643770000000 ] mass: 15.999400 - symbol: O # 24 coordinates: [ 0.416257070000000, 0.070263560000000, 0.391356230000000 ] mass: 15.999400 - symbol: O # 25 coordinates: [ 0.053662590000000, 0.804157370000000, 0.250000000000000 ] mass: 15.999400 - symbol: O # 26 coordinates: [ 0.929736440000000, 0.345993510000000, 0.108643770000000 ] mass: 15.999400 - symbol: O # 27 coordinates: [ 0.583742930000000, 0.929736440000000, 0.608643770000000 ] mass: 15.999400 - symbol: O # 28 coordinates: [ 0.070263560000000, 0.654006490000000, 0.891356230000000 ] mass: 15.999400 reciprocal_lattice: # without 2pi - [ 0.147457159345693, 0.085134430138946, 0.000000000000000 ] # a* - [ 0.000000000502147, 0.170268860780039, 0.000000000000000 ] # b* - [ 0.000000000000000, 0.000000000000000, 0.103975095693765 ] # c*unit_cell: lattice: - [ 6.781630720000000, -0.000000020000000, 0.000000000000000 ] # a - [ -3.390815350000000, 5.873064500000000, 0.000000000000000 ] # b - [ 0.000000000000000, 0.000000000000000, 9.617687710000000 ] # c points: - symbol: Si # 1 coordinates: [ 0.718599490000000, 0.938095590000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 1 - symbol: Si # 2 coordinates: [ 0.061904410000000, 0.780503900000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 2 - symbol: Si # 3 coordinates: [ 0.281400510000000, 0.061904410000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 3 - symbol: Si # 4 coordinates: [ 0.780503900000000, 0.718599490000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 4 - symbol: Si # 5 coordinates: [ 0.219496100000000, 0.281400510000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 5 - symbol: Si # 6 coordinates: [ 0.938095590000000, 0.219496100000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 6 - symbol: Bi # 7 coordinates: [ 0.666666670000000, 0.333333330000000, 0.528211780000000 ] mass: 208.980400 reduced_to: 7 - symbol: Bi # 8 coordinates: [ 0.666666670000000, 0.333333330000000, 0.971788220000000 ] mass: 208.980400 reduced_to: 8 - symbol: Bi # 9 coordinates: [ 0.333333330000000, 0.666666670000000, 0.028211780000000 ] mass: 208.980400 reduced_to: 9 - symbol: Bi # 10 coordinates: [ 0.333333330000000, 0.666666670000000, 0.471788220000000 ] mass: 208.980400 reduced_to: 10 - symbol: O # 11 coordinates: [ 0.750494780000000, 0.946337410000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 11 - symbol: O # 12 coordinates: [ 0.070263560000000, 0.654006490000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 12 - symbol: O # 13 coordinates: [ 0.583742930000000, 0.929736440000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 13 - symbol: O # 14 coordinates: [ 0.804157370000000, 0.750494780000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 14 - symbol: O # 15 coordinates: [ 0.195842630000000, 0.249505220000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 15 - symbol: O # 16 coordinates: [ 0.654006490000000, 0.583742930000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 16 - symbol: O # 17 coordinates: [ 0.654006490000000, 0.583742930000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 17 - symbol: O # 18 coordinates: [ 0.946337410000000, 0.195842630000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 18 - symbol: O # 19 coordinates: [ 0.249505220000000, 0.053662590000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 19 - symbol: O # 20 coordinates: [ 0.345993510000000, 0.416257070000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 20 - symbol: O # 21 coordinates: [ 0.929736440000000, 0.345993510000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 21 - symbol: O # 22 coordinates: [ 0.345993510000000, 0.416257070000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 22 - symbol: O # 23 coordinates: [ 0.416257070000000, 0.070263560000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 23 - symbol: O # 24 coordinates: [ 0.416257070000000, 0.070263560000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 24 - symbol: O # 25 coordinates: [ 0.053662590000000, 0.804157370000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 25 - symbol: O # 26 coordinates: [ 0.929736440000000, 0.345993510000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 26 - symbol: O # 27 coordinates: [ 0.583742930000000, 0.929736440000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 27 - symbol: O # 28 coordinates: [ 0.070263560000000, 0.654006490000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 28supercell: lattice: - [ 13.563261440000000, -0.000000040000000, 0.000000000000000 ] # a - [ -6.781630700000000, 11.746129000000000, 0.000000000000000 ] # b - [ 0.000000000000000, 0.000000000000000, 9.617687710000000 ] # c points: - symbol: Si # 1 coordinates: [ 0.359299745000000, 0.469047795000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 1 - symbol: Si # 2 coordinates: [ 0.859299745000000, 0.469047795000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 1 - symbol: Si # 3 coordinates: [ 0.359299745000000, 0.969047795000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 1 - symbol: Si # 4 coordinates: [ 0.859299745000000, 0.969047795000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 1 - symbol: Si # 5 coordinates: [ 0.030952205000000, 0.390251950000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 5 - symbol: Si # 6 coordinates: [ 0.530952205000000, 0.390251950000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 5 - symbol: Si # 7 coordinates: [ 0.030952205000000, 0.890251950000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 5 - symbol: Si # 8 coordinates: [ 0.530952205000000, 0.890251950000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 5 - symbol: Si # 9 coordinates: [ 0.140700255000000, 0.030952205000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 9 - symbol: Si # 10 coordinates: [ 0.640700255000000, 0.030952205000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 9 - symbol: Si # 11 coordinates: [ 0.140700255000000, 0.530952205000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 9 - symbol: Si # 12 coordinates: [ 0.640700255000000, 0.530952205000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 9 - symbol: Si # 13 coordinates: [ 0.390251950000000, 0.359299745000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 13 - symbol: Si # 14 coordinates: [ 0.890251950000000, 0.359299745000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 13 - symbol: Si # 15 coordinates: [ 0.390251950000000, 0.859299745000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 13 - symbol: Si # 16 coordinates: [ 0.890251950000000, 0.859299745000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 13 - symbol: Si # 17 coordinates: [ 0.109748050000000, 0.140700255000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 17 - symbol: Si # 18 coordinates: [ 0.609748050000000, 0.140700255000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 17 - symbol: Si # 19 coordinates: [ 0.109748050000000, 0.640700255000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 17 - symbol: Si # 20 coordinates: [ 0.609748050000000, 0.640700255000000, 0.750000000000000 ] mass: 28.085500 reduced_to: 17 - symbol: Si # 21 coordinates: [ 0.469047795000000, 0.109748050000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 21 - symbol: Si # 22 coordinates: [ 0.969047795000000, 0.109748050000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 21 - symbol: Si # 23 coordinates: [ 0.469047795000000, 0.609748050000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 21 - symbol: Si # 24 coordinates: [ 0.969047795000000, 0.609748050000000, 0.250000000000000 ] mass: 28.085500 reduced_to: 21 - symbol: Bi # 25 coordinates: [ 0.333333335000000, 0.166666665000000, 0.528211780000000 ] mass: 208.980400 reduced_to: 25 - symbol: Bi # 26 coordinates: [ 0.833333335000000, 0.166666665000000, 0.528211780000000 ] mass: 208.980400 reduced_to: 25 - symbol: Bi # 27 coordinates: [ 0.333333335000000, 0.666666665000000, 0.528211780000000 ] mass: 208.980400 reduced_to: 25 - symbol: Bi # 28 coordinates: [ 0.833333335000000, 0.666666665000000, 0.528211780000000 ] mass: 208.980400 reduced_to: 25 - symbol: Bi # 29 coordinates: [ 0.333333335000000, 0.166666665000000, 0.971788220000000 ] mass: 208.980400 reduced_to: 29 - symbol: Bi # 30 coordinates: [ 0.833333335000000, 0.166666665000000, 0.971788220000000 ] mass: 208.980400 reduced_to: 29 - 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symbol: Bi # 40 coordinates: [ 0.666666665000000, 0.833333335000000, 0.471788220000000 ] mass: 208.980400 reduced_to: 37 - symbol: O # 41 coordinates: [ 0.375247390000000, 0.473168705000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 41 - symbol: O # 42 coordinates: [ 0.875247390000000, 0.473168705000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 41 - symbol: O # 43 coordinates: [ 0.375247390000000, 0.973168705000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 41 - symbol: O # 44 coordinates: [ 0.875247390000000, 0.973168705000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 41 - symbol: O # 45 coordinates: [ 0.035131780000000, 0.327003245000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 45 - symbol: O # 46 coordinates: [ 0.535131780000000, 0.327003245000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 45 - symbol: O # 47 coordinates: [ 0.035131780000000, 0.827003245000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 45 - symbol: O # 48 coordinates: [ 0.535131780000000, 0.827003245000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 45 - 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symbol: O # 67 coordinates: [ 0.327003245000000, 0.791871465000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 65 - symbol: O # 68 coordinates: [ 0.827003245000000, 0.791871465000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 65 - symbol: O # 69 coordinates: [ 0.473168705000000, 0.097921315000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 69 - symbol: O # 70 coordinates: [ 0.973168705000000, 0.097921315000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 69 - symbol: O # 71 coordinates: [ 0.473168705000000, 0.597921315000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 69 - symbol: O # 72 coordinates: [ 0.973168705000000, 0.597921315000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 69 - symbol: O # 73 coordinates: [ 0.124752610000000, 0.026831295000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 73 - symbol: O # 74 coordinates: [ 0.624752610000000, 0.026831295000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 73 - symbol: O # 75 coordinates: [ 0.124752610000000, 0.526831295000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 73 - symbol: O # 76 coordinates: [ 0.624752610000000, 0.526831295000000, 0.750000000000000 ] mass: 15.999400 reduced_to: 73 - symbol: O # 77 coordinates: [ 0.172996755000000, 0.208128535000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 77 - symbol: O # 78 coordinates: [ 0.672996755000000, 0.208128535000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 77 - symbol: O # 79 coordinates: [ 0.172996755000000, 0.708128535000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 77 - symbol: O # 80 coordinates: [ 0.672996755000000, 0.708128535000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 77 - symbol: O # 81 coordinates: [ 0.464868220000000, 0.172996755000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 81 - symbol: O # 82 coordinates: [ 0.964868220000000, 0.172996755000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 81 - symbol: O # 83 coordinates: [ 0.464868220000000, 0.672996755000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 81 - symbol: O # 84 coordinates: [ 0.964868220000000, 0.672996755000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 81 - symbol: O # 85 coordinates: [ 0.172996755000000, 0.208128535000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 85 - symbol: O # 86 coordinates: [ 0.672996755000000, 0.208128535000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 85 - symbol: O # 87 coordinates: [ 0.172996755000000, 0.708128535000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 85 - symbol: O # 88 coordinates: [ 0.672996755000000, 0.708128535000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 85 - symbol: O # 89 coordinates: [ 0.208128535000000, 0.035131780000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 89 - symbol: O # 90 coordinates: [ 0.708128535000000, 0.035131780000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 89 - symbol: O # 91 coordinates: [ 0.208128535000000, 0.535131780000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 89 - symbol: O # 92 coordinates: [ 0.708128535000000, 0.535131780000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 89 - symbol: O # 93 coordinates: [ 0.208128535000000, 0.035131780000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 93 - symbol: O # 94 coordinates: [ 0.708128535000000, 0.035131780000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 93 - symbol: O # 95 coordinates: [ 0.208128535000000, 0.535131780000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 93 - symbol: O # 96 coordinates: [ 0.708128535000000, 0.535131780000000, 0.391356230000000 ] mass: 15.999400 reduced_to: 93 - symbol: O # 97 coordinates: [ 0.026831295000000, 0.402078685000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 97 - symbol: O # 98 coordinates: [ 0.526831295000000, 0.402078685000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 97 - symbol: O # 99 coordinates: [ 0.026831295000000, 0.902078685000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 97 - symbol: O # 100 coordinates: [ 0.526831295000000, 0.902078685000000, 0.250000000000000 ] mass: 15.999400 reduced_to: 97 - symbol: O # 101 coordinates: [ 0.464868220000000, 0.172996755000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 101 - symbol: O # 102 coordinates: [ 0.964868220000000, 0.172996755000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 101 - symbol: O # 103 coordinates: [ 0.464868220000000, 0.672996755000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 101 - symbol: O # 104 coordinates: [ 0.964868220000000, 0.672996755000000, 0.108643770000000 ] mass: 15.999400 reduced_to: 101 - symbol: O # 105 coordinates: [ 0.291871465000000, 0.464868220000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 105 - symbol: O # 106 coordinates: [ 0.791871465000000, 0.464868220000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 105 - symbol: O # 107 coordinates: [ 0.291871465000000, 0.964868220000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 105 - symbol: O # 108 coordinates: [ 0.791871465000000, 0.964868220000000, 0.608643770000000 ] mass: 15.999400 reduced_to: 105 - symbol: O # 109 coordinates: [ 0.035131780000000, 0.327003245000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 109 - symbol: O # 110 coordinates: [ 0.535131780000000, 0.327003245000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 109 - symbol: O # 111 coordinates: [ 0.035131780000000, 0.827003245000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 109 - symbol: O # 112 coordinates: [ 0.535131780000000, 0.827003245000000, 0.891356230000000 ] mass: 15.999400 reduced_to: 109born_effective_charge:- # 1 (Si) - [ 3.960683120000000, -0.191765070000000, 0.000000000000000 ] - [ 0.198669460000000, 2.729257510000000, 0.000000000000000 ] - [ 0.000000000000000, 0.000000000000000, 3.716641640000000 ]- # 2 (Si) - [ 3.040103601646687, -0.730166292753821, 0.000000000000000 ] - [ -0.339731763692890, 3.649837028353313, 0.000000000000000 ] - [ 0.000000000000000, 0.000000000000000, 3.716641640000000 ]- # 3 (Si) - [ 3.960683120000000, -0.191765070000000, 0.000000000000000 ] - [ 0.198669460000000, 2.729257510000000, 0.000000000000000 ] - [ 0.000000000000000, 0.000000000000000, 3.716641640000000 ]- # 4 (Si) - [ 3.034124224083302, 0.336279569305733, 0.000000000000000 ] - [ 0.726714095666135, 3.655816405916699, 0.000000000000000 ] - [ 0.000000000000000, 0.000000000000000, 3.716641640000000 ]- # 5 (Si) - [ 3.034124224083302, 0.336279569305733, 0.000000000000000 ] - 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