Crystal Lab › Prototype structures › Cubic
Low Temperature CsW₂O₆ CsO₆W₂
Cubic · space group P213 (No. 198) · Pearson cP72
Symmetry elements and Wyckoff positions (interactive)
Low Temperature CsW₂O₆ in P213
SettingUnit cell
- Lattice constants
- a = 10.319 Å, b = 10.319 Å, c = 10.319 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1098.9 ų
- Atoms in the conventional cell
- 72 (Cs 8, W 16, O 48)
- Formula units Z
- 8
- Pearson symbol
- cP72 — cubic, primitive lattice, 72 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cs1 | Cs | 4a | 4 | 0.2436 | 0.2436 | 0.2436 |
| Cs2 | Cs | 4a | 4 | 0.9998 | 0.9998 | 0.9998 |
| W7 | W | 4a | 4 | 0.3785 | 0.3785 | 0.3785 |
| O3 | O | 12b | 12 | 0.5605 | 0.2496 | 0.7504 |
| O4 | O | 12b | 12 | 0.5012 | 0.9940 | 0.8197 |
| O5 | O | 12b | 12 | 0.5012 | 0.3103 | 0.4904 |
| O6 | O | 12b | 12 | 0.7479 | 0.2522 | 0.5678 |
| W8 | W | 12b | 12 | 0.6252 | 0.3746 | 0.6285 |
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 72 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
AB6C2_cP72_198_2a_4b_ab-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP72, then the space-group number 198, then the Wyckoff letters occupied by each element in turn (Cs: 4a; Cs: 4a; W: 4a; O: 12b; O: 12b; O: 12b; O: 12b; W: 12b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: LT (100K).
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6C2_cP72_198_2a_4b_ab-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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