Symmetry elements and Wyckoff positions (interactive)
Al₁₀V in Fd-3m
SettingUnit cell
- Lattice constants
- a = 14.586 Å, b = 14.586 Å, c = 14.586 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 3103.2 ų
- Atoms in the conventional cell
- 176 (Al 160, V 16)
- Formula units Z
- 16
- Pearson symbol
- cF176 — cubic, face-centred lattice, 176 atoms per conventional cell
- Symmetry operations
- 192 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 16c | 16 | 0.0000 | 0.0000 | 0.0000 |
| V4 | V | 16d | 16 | 0.5000 | 0.5000 | 0.5000 |
| Al2 | Al | 48f | 48 | 0.4843 | 0.1250 | 0.1250 |
| Al3 | Al | 96g | 96 | 0.4404 | 0.4404 | 0.6759 |
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 176 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
A10B_cF176_227_cfg_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF176, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Al: 16c; V: 16d; Al: 48f; Al: 96g). 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 A10B_cF176_227_cfg_d-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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