Crystal Lab › Prototype structures › Tetragonal
Ba₅Si₃
Tetragonal · space group P4/ncc (No. 130) · Pearson tP32
Symmetry elements and Wyckoff positions (interactive)
Ba₅Si₃ in P4/ncc
SettingUnit cell
- Lattice constants
- a = 8.465 Å, b = 8.465 Å, c = 16.450 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1178.7 ų
- Atoms in the conventional cell
- 32 (Ba 20, Si 12)
- Formula units Z
- 4
- Pearson symbol
- tP32 — tetragonal, primitive lattice, 32 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 4c | 4 | 0.2500 | 0.2500 | 0.2271 |
| Si3 | Si | 4c | 4 | 0.2500 | 0.2500 | 0.0095 |
| Si4 | Si | 8f | 8 | 0.1482 | 0.8518 | 0.2500 |
| Ba2 | Ba | 16g | 16 | 0.5800 | 0.0800 | 0.1069 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 32 atoms drawn above are these sites multiplied by all 16 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
A5B3_tP32_130_cg_cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP32, then the space-group number 130, then the Wyckoff letters occupied by each element in turn (Ba: 4c; Si: 4c; Si: 8f; Ba: 16g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B3_tP32_130_cg_cf-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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