Crystal Lab › Prototype structures › Cubic
Low-Temperature ZrW₂O₈ O₈W₂Zr
Cubic · space group P213 (No. 198) · Pearson cP44
Symmetry elements and Wyckoff positions (interactive)
Low-Temperature ZrW₂O₈ in P213
SettingUnit cell
- Lattice constants
- a = 9.157 Å, b = 9.157 Å, c = 9.157 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 767.8 ų
- Atoms in the conventional cell
- 44 (O 32, W 8, Zr 4)
- Formula units Z
- 4
- Pearson symbol
- cP44 — cubic, primitive lattice, 44 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 4a | 4 | 0.4941 | 0.4941 | 0.4941 |
| O2 | O | 4a | 4 | 0.2322 | 0.2322 | 0.2322 |
| W5 | W | 4a | 4 | 0.3409 | 0.3409 | 0.3409 |
| W6 | W | 4a | 4 | 0.6009 | 0.6009 | 0.6009 |
| Zr7 | Zr | 4a | 4 | 0.0004 | 0.0004 | 0.0004 |
| O3 | O | 12b | 12 | 0.0529 | 0.7931 | 0.9381 |
| O4 | O | 12b | 12 | 0.0697 | 0.9425 | 0.2132 |
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 44 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
A8B2C_cP44_198_2a2b_2a_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP44, then the space-group number 198, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4a; W: 4a; W: 4a; Zr: 4a; O: 12b; O: 12b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: LT ZrW₂O₈.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B2C_cP44_198_2a2b_2a_a-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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