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Monoclinic AlPO₄-53(C)

Monoclinic · space group C121 (No. 5) · Pearson mC72

Symmetry elements and Wyckoff positions (interactive)

Monoclinic AlPO₄-53(C) in C121

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

Unit cell

Lattice constants
a = 16.444 Å, b = 5.107 Å, c = 13.485 Å; α = 90.00°, β = 88.26°, γ = 90.00°
Cell volume
1132.0 ų
Atoms in the conventional cell
72 (Al 12, O 48, P 12)
Formula units Z
12
Pearson symbol
mC72 — monoclinic, base-centred lattice, 72 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al4c40.54460.04780.7651
Al2Al4c40.67350.60330.0809
Al3Al4c40.85340.08640.5358
O4O4c40.63490.07110.6963
O5O4c40.51380.70920.7546
O6O4c40.95800.72810.7539
O7O4c40.57330.12360.8966
O8O4c40.63280.62910.1969
O9O4c40.58050.63670.3735
O10O4c40.62540.35730.5493
O11O4c40.63030.90710.5123
O12O4c40.75870.07480.5905
O13O4c40.63300.82090.0003
O14O4c40.64210.26430.0622
O15O4c40.77720.62150.0998
P16P4c40.56310.52970.2636
P17P4c40.66600.09410.5898
P18P4c40.85560.61980.0387

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 4 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_mC72_5_3c_12c_3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC72, then the space-group number 5, then the Wyckoff letters occupied by each element in turn (Al: 4c; Al: 4c; Al: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; P: 4c; P: 4c; P: 4c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: AlPO₄-53(C).

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mC72_5_3c_12c_3c-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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