Crystal Lab › Prototype structures › Trigonal
Cs₆W₁₁O₃₆
Trigonal · space group R-3c (No. 167) · Pearson hR106
Symmetry elements and Wyckoff positions (interactive)
Cs₆W₁₁O₃₆ in R-3c
SettingUnit cell
- Lattice constants
- a = 7.261 Å, b = 7.261 Å, c = 110.580 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 5048.9 ų
- Atoms in the conventional cell
- 318 (Cs 36, W 66, O 216)
- Formula units Z
- 6
- Pearson symbol
- hR106 — hexagonal / trigonal, rhombohedral lattice, 106 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cs1 | Cs | 12c | 12 | 0.0000 | 0.0000 | 0.8430 |
| Cs2 | Cs | 12c | 12 | 0.0000 | 0.0000 | 0.8834 |
| Cs3 | Cs | 12c | 12 | 0.0000 | 0.0000 | 0.2711 |
| W10 | W | 12c | 12 | 0.0000 | 0.0000 | 0.9446 |
| W11 | W | 18e | 18 | 0.5306 | 0.0000 | 0.2500 |
| O4 | O | 36f | 36 | 0.5343 | 0.0887 | 0.2658 |
| O5 | O | 36f | 36 | 0.4433 | 0.9137 | 0.1940 |
| O6 | O | 36f | 36 | 0.7963 | 0.5807 | 0.2861 |
| O7 | O | 36f | 36 | 0.8763 | 0.7287 | 0.3201 |
| O8 | O | 36f | 36 | 0.7983 | 0.5797 | 0.2462 |
| O9 | O | 36f | 36 | 0.7553 | 0.8637 | 0.3003 |
| W12 | W | 36f | 36 | 0.8198 | 0.1472 | 0.3050 |
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 318 atoms drawn above are these sites multiplied by all 36 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
A6B36C11_hR106_167_3c_6f_cef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR106, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (Cs: 12c; Cs: 12c; Cs: 12c; W: 12c; W: 18e; O: 36f; O: 36f; O: 36f; O: 36f; O: 36f; O: 36f; W: 36f). 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 A6B36C11_hR106_167_3c_6f_cef-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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