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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Cl2 | Cl | 2e | 2 | 0.0000 | 0.3877 | 0.2500 |
| Cu3 | Cu | 2e | 2 | 0.0000 | 0.8654 | 0.2500 |
| V4 | V | 2f | 2 | 0.5000 | 0.6792 | 0.2500 |
| Cu5 | Cu | 4g | 4 | 0.4179 | 0.7730 | 0.9272 |
| O6 | O | 4g | 4 | 0.2594 | 0.0475 | 0.9565 |
| O7 | O | 4g | 4 | 0.2387 | 0.1261 | 0.6934 |
| O8 | O | 4g | 4 | 0.5603 | 0.4906 | 0.8919 |
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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