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Zn₄₀Mo₇Sn₁₂
Cubic · space group Fm-3c (No. 226) · Pearson cF944
Symmetry elements and Wyckoff positions (interactive)
Zn₄₀Mo₇Sn₁₂ in Fm-3c
SettingUnit cell
- Lattice constants
- a = 25.447 Å, b = 25.447 Å, c = 25.447 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 16477.8 ų
- Atoms in the conventional cell
- 944 (Mo 112, Sn 192, Zn 640)
- Formula units Z
- 16
- Pearson symbol
- cF944 — cubic, face-centred lattice, 944 atoms per conventional cell
- Symmetry operations
- 192 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mo1 | Mo | 8a | 8 | 0.2500 | 0.2500 | 0.2500 |
| Mo2 | Mo | 8b | 8 | 0.0000 | 0.0000 | 0.0000 |
| Mo3 | Mo | 96i | 96 | 0.0000 | 0.3240 | 0.6108 |
| Sn4 | Sn | 192j | 192 | 0.2930 | 0.1631 | 0.4124 |
| Zn5 | Zn | 48e | 48 | 0.8224 | 0.0000 | 0.0000 |
| Zn6 | Zn | 48f | 48 | 0.1398 | 0.2500 | 0.2500 |
| Zn7 | Zn | 64g | 64 | 0.1899 | 0.1899 | 0.1899 |
| Zn8 | Zn | 96h | 96 | 0.2500 | 0.4439 | 0.4439 |
| Zn9 | Zn | 96i | 96 | 0.0000 | 0.4127 | 0.5550 |
| Zn10 | Zn | 96i | 96 | 0.0000 | 0.8516 | 0.2182 |
| Zn11 | Zn | 192j | 192 | 0.5960 | 0.6462 | 0.9427 |
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 944 atoms drawn above are these sites multiplied by all 192 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
A7B12C40_cF944_226_abi_j_efgh2ij-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF944, then the space-group number 226, then the Wyckoff letters occupied by each element in turn (Mo: 8a; Mo: 8b; Mo: 96i; Sn: 192j; Zn: 48e; Zn: 48f; Zn: 64g; Zn: 96h; Zn: 96i; Zn: 96i; Zn: 192j). 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 A7B12C40_cF944_226_abi_j_efgh2ij-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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