Crystal Lab › Prototype structures › Cubic
β-Alane (AlD₃)
Cubic · space group Fd-3m (No. 227) · Pearson cF64 · mineral: beta-alane
Symmetry elements and Wyckoff positions (interactive)
β-Alane (AlD₃) in Fd-3m
SettingUnit cell
- Lattice constants
- a = 9.004 Å, b = 9.004 Å, c = 9.004 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 729.9 ų
- Atoms in the conventional cell
- 64 (Al 16, D 48)
- Formula units Z
- 16
- Pearson symbol
- cF64 — cubic, face-centred lattice, 64 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 |
| D2 | D | 48f | 48 | 0.9301 | 0.1250 | 0.1250 |
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 64 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
AB3_cF64_227_c_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF64, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Al: 16c; D: 48f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
β-AlH₃, η-AlF₃ <!--beginning with an
Note: \beta-Alane.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_cF64_227_c_f-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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