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Crystal Lab › Prototype structures › Hexagonal

AlPO₄-5 (Framework type AFI)

Hexagonal · space group P6cc (No. 184) · Pearson hP72

Symmetry elements and Wyckoff positions (interactive)

AlPO₄-5 (Framework type AFI) in P6cc

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

Unit cell

Lattice constants
a = 13.718 Å, b = 13.718 Å, c = 8.453 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1377.5 ų
Atoms in the conventional cell
72 (Al 12, O 48, P 12)
Formula units Z
12
Pearson symbol
hP72 — hexagonal / trigonal, primitive lattice, 72 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al12d120.45650.12050.0000
O2O12d120.42000.20690.0710
O3O12d120.12240.45190.2982
O4O12d120.36290.00190.0649
O5O12d120.15380.57370.0602
P6P12d120.12300.45250.1275

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 72 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_hP72_184_d_4d_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP72, then the space-group number 184, then the Wyckoff letters occupied by each element in turn (Al: 12d; O: 12d; O: 12d; O: 12d; O: 12d; P: 12d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: AlPO₄-5.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hP72_184_d_4d_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.

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