Crystal Lab › Prototype structures › Orthorhombic
β-AlF₃
Orthorhombic · space group Cmcm (No. 63) · Pearson oC48
Symmetry elements and Wyckoff positions (interactive)
β-AlF₃ in Cmcm
SettingUnit cell
- Lattice constants
- a = 6.930 Å, b = 12.002 Å, c = 7.134 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 593.4 ų
- Atoms in the conventional cell
- 48 (Al 12, F 36)
- Formula units Z
- 12
- Pearson symbol
- oC48 — orthorhombic, base-centred lattice, 48 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| F3 | F | 4c | 4 | 0.0000 | 0.0177 | 0.2500 |
| Al2 | Al | 8d | 8 | 0.2500 | 0.2500 | 0.0000 |
| F4 | F | 8f | 8 | 0.0000 | 0.7125 | 0.5257 |
| F5 | F | 8g | 8 | 0.7297 | 0.2352 | 0.2500 |
| F6 | F | 16h | 16 | 0.8161 | 0.1054 | 0.9800 |
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 48 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
AB3_oC48_63_ad_cfgh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC48, then the space-group number 63, then the Wyckoff letters occupied by each element in turn (Al: 4a; F: 4c; Al: 8d; F: 8f; F: 8g; F: 16h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
alpha'-AlH₃, β-GaF₃, β-InF₃ <!--beginning with an
Note: \beta-AlF₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_oC48_63_ad_cfgh-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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