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Crystal Lab › Prototype structures › Monoclinic

β-Cu₄O₂(VO₄)Cl

Monoclinic · space group P12/c1 (No. 13) · Pearson mP24

Symmetry elements and Wyckoff positions (interactive)

β-Cu₄O₂(VO₄)Cl in P12/c1

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

Unit cell

Lattice constants
a = 6.274 Å, b = 5.504 Å, c = 11.155 Å; α = 90.00°, β = 124.61°, γ = 90.00°
Cell volume
317.0 ų
Atoms in the conventional cell
24 (Cu 8, Cl 2, V 2, O 12)
Formula units Z
2
Pearson symbol
mP24 — monoclinic, primitive lattice, 24 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu2a20.00000.00000.0000
Cl2Cl2e20.00000.38770.2500
Cu3Cu2e20.00000.86540.2500
V4V2f20.50000.67920.2500
Cu5Cu4g40.41790.77300.9272
O6O4g40.25940.04750.9565
O7O4g40.23870.12610.6934
O8O4g40.56030.49060.8919

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 24 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

AB4C6D_mP24_13_e_aeg_3g_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP24, then the space-group number 13, then the Wyckoff letters occupied by each element in turn (Cu: 2a; Cl: 2e; Cu: 2e; V: 2f; Cu: 4g; O: 4g; O: 4g; O: 4g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C6D_mP24_13_e_aeg_3g_f-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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