Crystal Lab › Prototype structures › Orthorhombic
β-WO₃ O₃W
Orthorhombic · space group Pbcn (No. 60) · Pearson oP32
Symmetry elements and Wyckoff positions (interactive)
β-WO₃ in Pbcn
SettingUnit cell
- Lattice constants
- a = 7.340 Å, b = 7.745 Å, c = 7.574 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 430.6 ų
- Atoms in the conventional cell
- 32 (O 24, W 8)
- Formula units Z
- 8
- Pearson symbol
- oP32 — orthorhombic, primitive lattice, 32 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 8d | 8 | 0.5016 | 0.7205 | 0.0322 |
| O2 | O | 8d | 8 | 0.2167 | 0.7591 | 0.2582 |
| O3 | O | 8d | 8 | 0.2197 | 0.5016 | 0.0130 |
| W4 | W | 8d | 8 | 0.2480 | 0.7830 | 0.0291 |
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 32 atoms drawn above are these sites multiplied by all 8 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
A3B_oP32_60_3d_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP32, then the space-group number 60, then the Wyckoff letters occupied by each element in turn (O: 8d; O: 8d; O: 8d; W: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-WO₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_oP32_60_3d_d-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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