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Crystal Lab › Prototype structures › Hexagonal

Computational AlPO₄-5 AlO₄P

Hexagonal · space group P6 (No. 168) · Pearson hP72

Symmetry elements and Wyckoff positions (interactive)

Computational AlPO₄-5 in P6

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

Unit cell

Lattice constants
a = 13.760 Å, b = 13.760 Å, c = 8.390 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1375.7 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
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al6d60.44980.11300.6253
Al2Al6d60.12780.46600.1246
O3O6d60.41540.20530.0456
O4O6d60.20660.41890.5576
O5O6d60.42180.08940.8248
O6O6d60.15140.49070.3249
O7O6d60.37460.01060.0948
O8O6d60.00830.36670.4879
O9O6d60.56930.16160.0357
O10O6d60.15050.56250.5943
P11P6d60.44510.11730.0000
P12P6d60.12910.45890.4993

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 6 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_168_2d_8d_2d-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 168, then the Wyckoff letters occupied by each element in turn (Al: 6d; Al: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; O: 6d; P: 6d; P: 6d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Comp. AlPO₄-5.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hP72_168_2d_8d_2d-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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