Crystal Lab › Prototype structures › Cubic
Cubic Cu₂OSeO₃ Cu₂O₄Se
Cubic · space group P213 (No. 198) · Pearson cP56
Symmetry elements and Wyckoff positions (interactive)
Cubic Cu₂OSeO₃ in P213
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 4a | 4 | 0.8860 | 0.8860 | 0.8860 |
| O3 | O | 4a | 4 | 0.0105 | 0.0105 | 0.0105 |
| O4 | O | 4a | 4 | 0.7621 | 0.7621 | 0.7621 |
| Se7 | Se | 4a | 4 | 0.4590 | 0.4590 | 0.4590 |
| Se8 | Se | 4a | 4 | 0.2113 | 0.2113 | 0.2113 |
| Cu2 | Cu | 12b | 12 | 0.1335 | 0.1211 | 0.8719 |
| O5 | O | 12b | 12 | 0.2699 | 0.4834 | 0.4706 |
| O6 | O | 12b | 12 | 0.2710 | 0.1892 | 0.0313 |
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.
← Langbeinite [K₂Mg₂(SO₄)₃] · Space group P213 (14 prototypes) · All prototypes · Ammonia (NH₃, D0₁) →