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(AlPO₄)₉(O₂)₉O [AlPO₄-17 Framework]

Hexagonal · space group P63/m (No. 176) · Pearson hP146

Symmetry elements and Wyckoff positions (interactive)

(AlPO₄)₉(O₂)₉O [AlPO₄-17 Framework] in P63/m

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

Unit cell

Lattice constants
a = 13.118 Å, b = 13.118 Å, c = 15.246 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
2272.0 ų
Atoms in the conventional cell
146 (O 110, Al 18, P 18)
Formula units Z
2
Pearson symbol
hP146 — hexagonal / trigonal, primitive lattice, 146 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O2a20.00000.00000.2500
Al2Al6h60.09310.42450.2500
O3O6h60.23760.46000.2500
O4O6h60.46440.91950.2500
P5P6h60.57420.90700.2500
Al6Al12i120.76280.99810.1014
O7O12i120.02540.34230.1581
O8O12i120.64690.96670.1679
O9O12i120.09060.19900.1160
O10O12i120.13310.25500.6280
O11O12i120.27300.00310.0060
O12O12i120.25700.51000.7810
O13O12i120.42710.85800.9678
O14O12i120.41600.82500.0270
P15P12i120.99780.23580.1019

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 146 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

A9B55C9_hP146_176_hi_a2h8i_hi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP146, then the space-group number 176, then the Wyckoff letters occupied by each element in turn (O: 2a; Al: 6h; O: 6h; O: 6h; P: 6h; Al: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; O: 12i; P: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: AlPO₄-17.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A9B55C9_hP146_176_hi_a2h8i_hi-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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