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Crystal Lab › Prototype structures › Monoclinic

β-CuCrP₂S₆ CrCuP₂S₆

Monoclinic · space group C12/c1 (No. 15) · Pearson mC52

Symmetry elements and Wyckoff positions (interactive)

β-CuCrP₂S₆ in C12/c1

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

Unit cell

Lattice constants
a = 5.916 Å, b = 10.246 Å, c = 13.415 Å; α = 90.00°, β = 107.09°, γ = 90.00°
Cell volume
777.2 ų
Atoms in the conventional cell
52 (Cr 4, Cu 16, P 8, S 24)
Formula units Z
4
Pearson symbol
mC52 — monoclinic, base-centred lattice, 52 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cr1Cr4e40.00000.33510.2500
Cu2Cu8f80.06070.00210.3482
Cu3Cu8f80.99660.00200.2670
P4P8f80.55330.83190.8344
S5S8f80.74710.68230.3736
S6S8f80.26560.17240.8736
S7S8f80.72400.99560.3757

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 52 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

AB4C2D6_mC52_15_e_2f_f_3f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC52, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Cr: 4e; Cu: 8f; Cu: 8f; P: 8f; S: 8f; S: 8f; S: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-CuCrP₂S₆.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C2D6_mC52_15_e_2f_f_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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