# Fileset [phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/e9069bb1-1310-4f77-acff-47046a29fb8d/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 NaPPdS4 / I4/mcm (140) / materials id 559446](https://mdr.nims.go.jp/datasets/9c4aca9d-cc72-4d44-a30a-5af300632ed6) ## 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: "I4/mcm" number: 140 Hall_symbol: "-I 4 2c"primitive_matrix:- [ -0.500000000000000, 0.500000000000000, 0.500000000000000 ]- [ 0.500000000000000, -0.500000000000000, 0.500000000000000 ]- [ 0.500000000000000, 0.500000000000000, -0.500000000000000 ]supercell_matrix:- [ 2, 0, 0 ]- [ 0, 2, 0 ]- [ 0, 0, 1 ]primitive_cell: lattice: - [ -3.601242900000000, 3.601242900000000, 6.141266185000000 ] # a - [ 3.601242900000000, -3.601242900000000, 6.141266185000000 ] # b - [ 3.601242900000000, 3.601242900000000, -6.141266185000000 ] # c points: - symbol: Na # 1 coordinates: [ 0.250000000000000, 0.250000000000000, 0.000000000000000 ] mass: 22.989769 - symbol: Na # 2 coordinates: [ 0.750000000000000, 0.750000000000000, 0.000000000000000 ] mass: 22.989769 - symbol: P # 3 coordinates: [ 0.750000000000000, 0.250000000000000, 0.500000000000000 ] mass: 30.973762 - symbol: P # 4 coordinates: [ 0.250000000000000, 0.750000000000000, 0.500000000000000 ] mass: 30.973762 - symbol: Pd # 5 coordinates: [ 0.500000000000000, 0.000000000000000, 0.500000000000000 ] mass: 106.420000 - symbol: Pd # 6 coordinates: [ 0.000000000000000, 0.500000000000000, 0.500000000000000 ] mass: 106.420000 - symbol: S # 7 coordinates: [ 0.292638400000000, 0.792638400000000, 0.804719900000000 ] mass: 32.065000 - symbol: S # 8 coordinates: [ 0.012081500000000, 0.512081500000000, 0.804719900000000 ] mass: 32.065000 - symbol: S # 9 coordinates: [ 0.792638400000000, 0.987918500000000, 0.500000000000000 ] mass: 32.065000 - symbol: S # 10 coordinates: [ 0.487918500000000, 0.292638400000000, 0.500000000000000 ] mass: 32.065000 - symbol: S # 11 coordinates: [ 0.707361600000000, 0.207361600000000, 0.195280100000000 ] mass: 32.065000 - symbol: S # 12 coordinates: [ 0.207361600000000, 0.012081500000000, 0.500000000000000 ] mass: 32.065000 - symbol: S # 13 coordinates: [ 0.512081500000000, 0.707361600000000, 0.500000000000000 ] mass: 32.065000 - symbol: S # 14 coordinates: [ 0.987918500000000, 0.487918500000000, 0.195280100000000 ] mass: 32.065000 reciprocal_lattice: # without 2pi - [ 0.000000000000000, 0.138840954049503, 0.081416435135355 ] # a* - [ 0.138840954049503, 0.000000000000000, 0.081416435135355 ] # b* - [ 0.138840954049503, 0.138840954049503, 0.000000000000000 ] # c*unit_cell: lattice: - [ 7.202485800000000, 0.000000000000000, 0.000000000000000 ] # a - [ 0.000000000000000, 7.202485800000000, 0.000000000000000 ] # b - [ 0.000000000000000, 0.000000000000000, 12.282532370000000 ] # c points: - symbol: Na # 1 coordinates: [ 0.500000000000000, 0.500000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 2 coordinates: [ 0.000000000000000, 0.000000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 2 - symbol: Na # 3 coordinates: [ 0.000000000000000, 0.000000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 4 coordinates: [ 0.500000000000000, 0.500000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 2 - symbol: P # 5 coordinates: [ 0.500000000000000, 0.000000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 5 - symbol: P # 6 coordinates: [ 0.000000000000000, 0.500000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 6 - symbol: P # 7 coordinates: [ 0.000000000000000, 0.500000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 5 - symbol: P # 8 coordinates: [ 0.500000000000000, 0.000000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 6 - symbol: Pd # 9 coordinates: [ 0.000000000000000, 0.500000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 9 - symbol: Pd # 10 coordinates: [ 0.500000000000000, 0.000000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 10 - symbol: Pd # 11 coordinates: [ 0.500000000000000, 0.000000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 9 - symbol: Pd # 12 coordinates: [ 0.000000000000000, 0.500000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 10 - symbol: S # 13 coordinates: [ 0.152359950000000, 0.652359950000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 13 - symbol: S # 14 coordinates: [ 0.652359950000000, 0.152359950000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 14 - symbol: S # 15 coordinates: [ 0.347640050000000, 0.152359950000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 15 - symbol: S # 16 coordinates: [ 0.652359950000000, 0.847640050000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 16 - symbol: S # 17 coordinates: [ 0.347640050000000, 0.847640050000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 17 - symbol: S # 18 coordinates: [ 0.152359950000000, 0.347640050000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 18 - symbol: S # 19 coordinates: [ 0.847640050000000, 0.652359950000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 19 - symbol: S # 20 coordinates: [ 0.847640050000000, 0.347640050000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 20 - symbol: S # 21 coordinates: [ 0.652359950000000, 0.152359950000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 13 - symbol: S # 22 coordinates: [ 0.152359950000000, 0.652359950000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 14 - symbol: S # 23 coordinates: [ 0.847640050000000, 0.652359950000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 15 - symbol: S # 24 coordinates: [ 0.152359950000000, 0.347640050000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 16 - symbol: S # 25 coordinates: [ 0.847640050000000, 0.347640050000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 17 - symbol: S # 26 coordinates: [ 0.652359950000000, 0.847640050000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 18 - symbol: S # 27 coordinates: [ 0.347640050000000, 0.152359950000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 19 - symbol: S # 28 coordinates: [ 0.347640050000000, 0.847640050000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 20supercell: lattice: - [ 14.404971600000000, 0.000000000000000, 0.000000000000000 ] # a - [ 0.000000000000000, 14.404971600000000, 0.000000000000000 ] # b - [ 0.000000000000000, 0.000000000000000, 12.282532370000000 ] # c points: - symbol: Na # 1 coordinates: [ 0.250000000000000, 0.250000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 2 coordinates: [ 0.750000000000000, 0.250000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 3 coordinates: [ 0.250000000000000, 0.750000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 4 coordinates: [ 0.750000000000000, 0.750000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 5 coordinates: [ 0.000000000000000, 0.000000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: Na # 6 coordinates: [ 0.500000000000000, 0.000000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: Na # 7 coordinates: [ 0.000000000000000, 0.500000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: Na # 8 coordinates: [ 0.500000000000000, 0.500000000000000, 0.750000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: Na # 9 coordinates: [ 0.000000000000000, 0.000000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 10 coordinates: [ 0.500000000000000, 0.000000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 11 coordinates: [ 0.000000000000000, 0.500000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 12 coordinates: [ 0.500000000000000, 0.500000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 1 - symbol: Na # 13 coordinates: [ 0.250000000000000, 0.250000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: Na # 14 coordinates: [ 0.750000000000000, 0.250000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: Na # 15 coordinates: [ 0.250000000000000, 0.750000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: Na # 16 coordinates: [ 0.750000000000000, 0.750000000000000, 0.250000000000000 ] mass: 22.989769 reduced_to: 5 - symbol: P # 17 coordinates: [ 0.250000000000000, 0.000000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 18 coordinates: [ 0.750000000000000, 0.000000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 19 coordinates: [ 0.250000000000000, 0.500000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 20 coordinates: [ 0.750000000000000, 0.500000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 21 coordinates: [ 0.000000000000000, 0.250000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: P # 22 coordinates: [ 0.500000000000000, 0.250000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: P # 23 coordinates: [ 0.000000000000000, 0.750000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: P # 24 coordinates: [ 0.500000000000000, 0.750000000000000, 0.750000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: P # 25 coordinates: [ 0.000000000000000, 0.250000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 26 coordinates: [ 0.500000000000000, 0.250000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 27 coordinates: [ 0.000000000000000, 0.750000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 28 coordinates: [ 0.500000000000000, 0.750000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 17 - symbol: P # 29 coordinates: [ 0.250000000000000, 0.000000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: P # 30 coordinates: [ 0.750000000000000, 0.000000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: P # 31 coordinates: [ 0.250000000000000, 0.500000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: P # 32 coordinates: [ 0.750000000000000, 0.500000000000000, 0.250000000000000 ] mass: 30.973762 reduced_to: 21 - symbol: Pd # 33 coordinates: [ 0.000000000000000, 0.250000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 34 coordinates: [ 0.500000000000000, 0.250000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 35 coordinates: [ 0.000000000000000, 0.750000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 36 coordinates: [ 0.500000000000000, 0.750000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 37 coordinates: [ 0.250000000000000, 0.000000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: Pd # 38 coordinates: [ 0.750000000000000, 0.000000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: Pd # 39 coordinates: [ 0.250000000000000, 0.500000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: Pd # 40 coordinates: [ 0.750000000000000, 0.500000000000000, 0.000000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: Pd # 41 coordinates: [ 0.250000000000000, 0.000000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 42 coordinates: [ 0.750000000000000, 0.000000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 43 coordinates: [ 0.250000000000000, 0.500000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 44 coordinates: [ 0.750000000000000, 0.500000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 33 - symbol: Pd # 45 coordinates: [ 0.000000000000000, 0.250000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: Pd # 46 coordinates: [ 0.500000000000000, 0.250000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: Pd # 47 coordinates: [ 0.000000000000000, 0.750000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: Pd # 48 coordinates: [ 0.500000000000000, 0.750000000000000, 0.500000000000000 ] mass: 106.420000 reduced_to: 37 - symbol: S # 49 coordinates: [ 0.076179975000000, 0.326179975000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 49 - symbol: S # 50 coordinates: [ 0.576179975000000, 0.326179975000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 49 - 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symbol: S # 69 coordinates: [ 0.076179975000000, 0.173820025000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 70 coordinates: [ 0.576179975000000, 0.173820025000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 71 coordinates: [ 0.076179975000000, 0.673820025000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 72 coordinates: [ 0.576179975000000, 0.673820025000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 73 coordinates: [ 0.423820025000000, 0.326179975000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 74 coordinates: [ 0.923820025000000, 0.326179975000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 75 coordinates: [ 0.423820025000000, 0.826179975000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 76 coordinates: [ 0.923820025000000, 0.826179975000000, 0.859721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 77 coordinates: [ 0.423820025000000, 0.173820025000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 77 - symbol: S # 78 coordinates: [ 0.923820025000000, 0.173820025000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 77 - symbol: S # 79 coordinates: [ 0.423820025000000, 0.673820025000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 77 - symbol: S # 80 coordinates: [ 0.923820025000000, 0.673820025000000, 0.640278450000000 ] mass: 32.065000 reduced_to: 77 - symbol: S # 81 coordinates: [ 0.326179975000000, 0.076179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 49 - symbol: S # 82 coordinates: [ 0.826179975000000, 0.076179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 49 - symbol: S # 83 coordinates: [ 0.326179975000000, 0.576179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 49 - symbol: S # 84 coordinates: [ 0.826179975000000, 0.576179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 49 - symbol: S # 85 coordinates: [ 0.076179975000000, 0.326179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 53 - symbol: S # 86 coordinates: [ 0.576179975000000, 0.326179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 53 - symbol: S # 87 coordinates: [ 0.076179975000000, 0.826179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 53 - symbol: S # 88 coordinates: [ 0.576179975000000, 0.826179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 53 - symbol: S # 89 coordinates: [ 0.423820025000000, 0.326179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 57 - symbol: S # 90 coordinates: [ 0.923820025000000, 0.326179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 57 - symbol: S # 91 coordinates: [ 0.423820025000000, 0.826179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 57 - symbol: S # 92 coordinates: [ 0.923820025000000, 0.826179975000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 57 - symbol: S # 93 coordinates: [ 0.076179975000000, 0.173820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 61 - symbol: S # 94 coordinates: [ 0.576179975000000, 0.173820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 61 - symbol: S # 95 coordinates: [ 0.076179975000000, 0.673820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 61 - symbol: S # 96 coordinates: [ 0.576179975000000, 0.673820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 61 - symbol: S # 97 coordinates: [ 0.423820025000000, 0.173820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 65 - symbol: S # 98 coordinates: [ 0.923820025000000, 0.173820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 65 - symbol: S # 99 coordinates: [ 0.423820025000000, 0.673820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 65 - symbol: S # 100 coordinates: [ 0.923820025000000, 0.673820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 65 - symbol: S # 101 coordinates: [ 0.326179975000000, 0.423820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 102 coordinates: [ 0.826179975000000, 0.423820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 103 coordinates: [ 0.326179975000000, 0.923820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 104 coordinates: [ 0.826179975000000, 0.923820025000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 69 - symbol: S # 105 coordinates: [ 0.173820025000000, 0.076179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 106 coordinates: [ 0.673820025000000, 0.076179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 107 coordinates: [ 0.173820025000000, 0.576179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 108 coordinates: [ 0.673820025000000, 0.576179975000000, 0.359721550000000 ] mass: 32.065000 reduced_to: 73 - symbol: S # 109 coordinates: [ 0.173820025000000, 0.423820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 77 - symbol: S # 110 coordinates: [ 0.673820025000000, 0.423820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 77 - symbol: S # 111 coordinates: [ 0.173820025000000, 0.923820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 77 - symbol: S # 112 coordinates: [ 0.673820025000000, 0.923820025000000, 0.140278450000000 ] mass: 32.065000 reduced_to: 77born_effective_charge:- # 1 (Na) - [ 1.448655320000000, 0.000000000000000, -0.000000000000000 ] - [ -0.000000000000000, 1.448655320000000, -0.000000000000000 ] - [ 0.000000000000000, -0.000000000000000, 0.970953330000000 ]- # 2 (Na) - [ 1.448655320000000, 0.000000000000000, -0.000000000000000 ] - [ -0.000000000000000, 1.448655320000000, -0.000000000000000 ] - [ 0.000000000000000, -0.000000000000000, 0.970953330000000 ]- # 3 (P) - [ 1.382915240000000, 0.000000000000000, 0.000000000000000 ] - [ -0.000000000000000, 1.382915240000000, 0.000000000000000 ] - [ -0.000000000000000, 0.000000000000000, 5.441637230000000 ]- # 4 (P) - [ 1.382915240000000, 0.000000000000000, 0.000000000000000 ] - [ -0.000000000000000, 1.382915240000000, 0.000000000000000 ] - [ -0.000000000000000, 0.000000000000000, 5.441637230000000 ]- # 5 (Pd) - [ -0.276822250000000, 0.064643920000000, 0.000000000000000 ] - [ 0.064643920000000, -0.276822250000000, 0.000000000000000 ] - [ -0.000000000000000, 0.000000000000000, 1.134736620000000 ]- # 6 (Pd) - [ -0.276822250000000, -0.064643920000000, 0.000000000000000 ] - 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