Crystal Lab › Prototype structures › Cubic
β (high) Cristobalite AlPO₄
Cubic · space group F-43m (No. 216) · Pearson cF56
Symmetry elements and Wyckoff positions (interactive)
β (high) Cristobalite AlPO₄ in F-43m
SettingUnit cell
- Lattice constants
- a = 7.200 Å, b = 7.200 Å, c = 7.200 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 373.3 ų
- Atoms in the conventional cell
- 56 (Al 4, P 4, O 48)
- Formula units Z
- 4
- Pearson symbol
- cF56 — cubic, face-centred lattice, 56 atoms per conventional cell
- Symmetry operations
- 96 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| P3 | P | 4c | 4 | 0.2500 | 0.2500 | 0.2500 |
| O2 | O | 48h | 48 | 0.1073 | 0.1073 | 0.1883 |
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 56 atoms drawn above are these sites multiplied by all 96 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
AB12C_cF56_216_a_h_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF56, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Al: 4a; P: 4c; O: 48h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta (high) Cristobalite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB12C_cF56_216_a_h_c-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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