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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Al1Al4a40.00000.00000.0000
P3P4c40.25000.25000.2500
O2O48h480.10730.10730.1883

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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