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Crystal Lab › Prototype structures › Hexagonal

AlPO₄-54 AlO₄P

Hexagonal · space group P63/mcm (No. 193) · Pearson hP108

Symmetry elements and Wyckoff positions (interactive)

AlPO₄-54 in P63/mcm

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

Unit cell

Lattice constants
a = 18.549 Å, b = 18.549 Å, c = 8.404 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
2504.1 ų
Atoms in the conventional cell
108 (O 72, Al 36)
Formula units Z
36
Pearson symbol
hP108 — hexagonal / trigonal, primitive lattice, 108 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O6f60.50000.00000.0000
O2O6g60.58580.00000.2500
O3O12i120.59300.18600.0000
O4O12i120.24650.49300.0000
O5O12j120.83720.34280.2500
Al6Al12k120.58150.00000.0533
Al7Al24l240.17390.6603-0.0486
O8O24l240.08430.6536-0.0227

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 108 atoms drawn above are these sites multiplied by all 24 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

AB2_hP108_193_kl_fg2ijl-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP108, then the space-group number 193, then the Wyckoff letters occupied by each element in turn (O: 6f; O: 6g; O: 12i; O: 12i; O: 12j; Al: 12k; Al: 24l; O: 24l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hP108_193_kl_fg2ijl-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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