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Cubic Cu₂OSeO₃ Cu₂O₄Se

Cubic · space group P213 (No. 198) · Pearson cP56

Symmetry elements and Wyckoff positions (interactive)

Cubic Cu₂OSeO₃ in P213

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

Unit cell

Lattice constants
a = 8.925 Å, b = 8.925 Å, c = 8.925 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
710.9 ų
Atoms in the conventional cell
56 (Cu 16, O 32, Se 8)
Formula units Z
8
Pearson symbol
cP56 — cubic, primitive lattice, 56 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu4a40.88600.88600.8860
O3O4a40.01050.01050.0105
O4O4a40.76210.76210.7621
Se7Se4a40.45900.45900.4590
Se8Se4a40.21130.21130.2113
Cu2Cu12b120.13350.12110.8719
O5O12b120.26990.48340.4706
O6O12b120.27100.18920.0313

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 56 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

A2B4C_cP56_198_ab_2a2b_2a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP56, then the space-group number 198, then the Wyckoff letters occupied by each element in turn (Cu: 4a; O: 4a; O: 4a; Se: 4a; Se: 4a; Cu: 12b; O: 12b; O: 12b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Cubic Cu₂OSeO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B4C_cP56_198_ab_2a2b_2a-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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