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Calcined AlPO₄-18 AlO₄P

Monoclinic · space group C12/c1 (No. 15) · Pearson mC144

Symmetry elements and Wyckoff positions (interactive)

Calcined AlPO₄-18 in C12/c1

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

Unit cell

Lattice constants
a = 13.711 Å, b = 12.731 Å, c = 23.086 Å; α = 90.00°, β = 126.45°, γ = 90.00°
Cell volume
3241.7 ų
Atoms in the conventional cell
144 (Al 24, O 96, P 24)
Formula units Z
24
Pearson symbol
mC144 — monoclinic, base-centred lattice, 144 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al8f80.47400.79100.8340
Al2Al8f80.19400.02300.0620
Al3Al8f80.93100.65300.9510
O4O8f80.79900.69700.8710
O5O8f80.39000.08300.9980
O6O8f80.30100.99100.0540
O7O8f80.07700.08200.9800
O8O8f80.44800.70400.8800
O9O8f80.60400.75200.8440
O10O8f80.25300.38700.8670
O11O8f80.01200.58000.9300
O12O8f80.35200.78400.7430
O13O8f80.14100.90900.0750
O14O8f80.50500.08800.1270
O15O8f80.01400.76200.0020
P16P8f80.46900.65500.9460
P17P8f80.42100.01900.0620
P18P8f80.70300.78000.8360

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 144 atoms drawn above are these sites multiplied by all 8 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_mC144_15_3f_12f_3f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC144, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Al: 8f; Al: 8f; Al: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; P: 8f; P: 8f; P: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Calcined AlPO₄-18.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mC144_15_3f_12f_3f-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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