Crystal Lab › Prototype structures › Trigonal
Averievite [(ClCu)₂Cu₅O₂(PO₄)₂]
Trigonal · space group P-3m1 (No. 164) · Pearson hP45 · mineral: averievite
Symmetry elements and Wyckoff positions (interactive)
Averievite [(ClCu)₂Cu₅O₂(PO₄)₂] in P-3m1
SettingUnit cell
- Lattice constants
- a = 6.406 Å, b = 6.406 Å, c = 8.403 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 298.6 ų
- Atoms in the conventional cell
- 45 (Cu 15, O 10, V 2, Cl 18)
- Formula units Z
- 1
- Pearson symbol
- hP45 — hexagonal / trigonal, primitive lattice, 45 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Cu2 | Cu | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Cu3 | Cu | 2c | 2 | 0.0000 | 0.0000 | 0.7407 |
| Cu4 | Cu | 2d | 2 | 0.3333 | 0.6667 | 0.2750 |
| O5 | O | 2d | 2 | 0.3333 | 0.6667 | 0.0456 |
| O6 | O | 2d | 2 | 0.3333 | 0.6667 | 0.4957 |
| V7 | V | 2d | 2 | 0.3333 | 0.6667 | 0.6926 |
| Cu8 | Cu | 3e | 3 | 0.5000 | 0.0000 | 0.0000 |
| Cl9 | Cl | 6i | 6 | 0.0680 | 0.9320 | 0.2610 |
| Cu10 | Cu | 6i | 6 | 0.3100 | 0.6900 | 0.2730 |
| O11 | O | 6i | 6 | 0.4802 | 0.5198 | 0.7660 |
| Cl12 | Cl | 12j | 12 | 0.2080 | 0.1710 | 0.6640 |
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 45 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
A18B15C10D2_hP45_164_ij_abcdei_2di_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP45, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (Cu: 1a; Cu: 1b; Cu: 2c; Cu: 2d; O: 2d; O: 2d; V: 2d; Cu: 3e; Cl: 6i; Cu: 6i; O: 6i; Cl: 12j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Averievite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A18B15C10D2_hP45_164_ij_abcdei_2di_d-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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