β-Berlinite (AlPO₄)

Unit cell

Lattice constants

a = 4.943 Å, b = 4.943 Å, c = 10.948 Å; α = 90.00°, β = 90.00°, γ = 120.00°

Cell volume

231.7 ų

Atoms in the conventional cell

18 (Al 3, P 3, O 12)

Formula units Z

3

Pearson symbol

hP18 — hexagonal / trigonal, primitive lattice, 18 atoms per conventional cell

Symmetry operations

12 per cell

Crystallographic sites

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 18 atoms drawn above are these sites multiplied by all 12 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

AB4C_hP18_181_c_k_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP18, then the space-group number 181, then the Wyckoff letters occupied by each element in turn (Al: 3c; P: 3d; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-Berlinite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hP18_181_c_k_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.