Crystal Lab › Prototype structures › Trigonal
Trigonal Averievite [(CsCl)Cu₅O₂(VO₄)₂]
Trigonal · space group P-3 (No. 147) · Pearson hP86 · mineral: averievite
Symmetry elements and Wyckoff positions (interactive)
Trigonal Averievite [(CsCl)Cu₅O₂(VO₄)₂] in P-3
SettingUnit cell
- Lattice constants
- a = 12.725 Å, b = 12.725 Å, c = 8.377 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1174.7 ų
- Atoms in the conventional cell
- 86 (Cl 4, Cs 14, Cu 20, O 40, V 8)
- Formula units Z
- 2
- Pearson symbol
- hP86 — hexagonal / trigonal, primitive lattice, 86 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cl1 | Cl | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Cs2 | Cs | 2c | 2 | 0.0000 | 0.0000 | 0.5496 |
| Cu3 | Cu | 2d | 2 | 0.3333 | 0.6667 | 0.7289 |
| O4 | O | 2d | 2 | 0.3333 | 0.6667 | 0.5053 |
| O5 | O | 2d | 2 | 0.3333 | 0.6667 | 0.9571 |
| V6 | V | 2d | 2 | 0.3333 | 0.6667 | 0.3062 |
| Cl7 | Cl | 3e | 3 | 0.5000 | 0.0000 | 0.0000 |
| Cs8 | Cs | 6g | 6 | 0.0058 | 0.5136 | 0.5000 |
| Cs9 | Cs | 6g | 6 | 0.0008 | 0.5031 | 0.5675 |
| Cu10 | Cu | 6g | 6 | 0.8388 | 0.6667 | 0.7289 |
| Cu11 | Cu | 6g | 6 | 0.7530 | 0.7470 | 0.0001 |
| Cu12 | Cu | 6g | 6 | 0.7596 | 0.4999 | 0.9998 |
| O13 | O | 6g | 6 | 0.7626 | 0.7378 | 0.2381 |
| O14 | O | 6g | 6 | 0.7432 | 0.7563 | 0.7625 |
| O15 | O | 6g | 6 | 0.7679 | 0.5188 | 0.2379 |
| O16 | O | 6g | 6 | 0.8393 | 0.6669 | 0.5049 |
| O17 | O | 6g | 6 | 0.7484 | 0.4809 | 0.7620 |
| O18 | O | 6g | 6 | 0.8392 | 0.6667 | 0.9564 |
| V19 | V | 6g | 6 | 0.8387 | 0.6666 | 0.3059 |
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 86 atoms drawn above are these sites multiplied by all 6 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
A2B7C10D20E4_hP86_147_ae_c2g_d3g_2d6g_dg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP86, then the space-group number 147, then the Wyckoff letters occupied by each element in turn (Cl: 1a; Cs: 2c; Cu: 2d; O: 2d; O: 2d; V: 2d; Cl: 3e; Cs: 6g; Cs: 6g; Cu: 6g; Cu: 6g; Cu: 6g; O: 6g; O: 6g; O: 6g; O: 6g; O: 6g; O: 6g; V: 6g). 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 A2B7C10D20E4_hP86_147_ae_c2g_d3g_2d6g_dg-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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