Crystal Lab › Prototype structures › Trigonal
Averievite [Cu₅O₂(VO₄)₂cdotCuCl₂]
Trigonal · space group P3 (No. 143) · Pearson hP21 · mineral: averievite
Symmetry elements and Wyckoff positions (interactive)
Averievite [Cu₅O₂(VO₄)₂cdotCuCl₂] in P3
SettingUnit cell
- Lattice constants
- a = 6.375 Å, b = 6.375 Å, c = 8.399 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 295.6 ų
- Atoms in the conventional cell
- 21 (Cl 2, Cu 7, O 10, V 2)
- Formula units Z
- 1
- Pearson symbol
- hP21 — hexagonal / trigonal, primitive lattice, 21 atoms per conventional cell
- Symmetry operations
- 3 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cl1 | Cl | 1a | 1 | 0.0000 | 0.0000 | 0.2714 |
| Cl2 | Cl | 1a | 1 | 0.0000 | 0.0000 | 0.7679 |
| Cu3 | Cu | 1a | 1 | 0.0000 | 0.0000 | 0.0177 |
| Cu4 | Cu | 1a | 1 | 0.0000 | 0.0000 | 0.5314 |
| Cu9 | Cu | 1b | 1 | 0.3333 | 0.6667 | 0.5492 |
| O10 | O | 1b | 1 | 0.3333 | 0.6667 | 0.3390 |
| O11 | O | 1b | 1 | 0.3333 | 0.6667 | 0.7750 |
| V12 | V | 1b | 1 | 0.3333 | 0.6667 | 0.9680 |
| Cu5 | Cu | 1c | 1 | 0.6667 | 0.3333 | 0.0000 |
| O6 | O | 1c | 1 | 0.6667 | 0.3333 | 0.7850 |
| O7 | O | 1c | 1 | 0.6667 | 0.3333 | 0.2440 |
| V8 | V | 1c | 1 | 0.6667 | 0.3333 | 0.5840 |
| Cu13 | Cu | 3d | 3 | 0.0047 | 0.4943 | 0.2800 |
| O14 | O | 3d | 3 | 0.0457 | 0.5193 | 0.0310 |
| O15 | O | 3d | 3 | 0.9707 | 0.4763 | 0.5090 |
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 21 atoms drawn above are these sites multiplied by all 3 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
A2B7C10D2_hP21_143_2a_2abcd_2b2c2d_bc-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP21, then the space-group number 143, then the Wyckoff letters occupied by each element in turn (Cl: 1a; Cl: 1a; Cu: 1a; Cu: 1a; Cu: 1b; O: 1b; O: 1b; V: 1b; Cu: 1c; O: 1c; O: 1c; V: 1c; Cu: 3d; O: 3d; O: 3d). 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 A2B7C10D2_hP21_143_2a_2abcd_2b2c2d_bc-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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