Crystal Lab › Prototype structures › Orthorhombic
Original β-WO₃ Structure ( Obsolete ): A3B_oP32_62_ab4c_2c-001
Orthorhombic · space group Pnma (No. 62) · Pearson oP32
Symmetry elements and Wyckoff positions (interactive)
Original β-WO₃ Structure ( Obsolete ): A3B_oP32_62_ab4c_2c-001 in Pnma
SettingUnit cell
- Lattice constants
- a = 7.570 Å, b = 7.341 Å, c = 7.754 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 430.9 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 | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| O2 | O | 4b | 4 | 0.0000 | 0.0000 | 0.5000 |
| O3 | O | 4c | 4 | 0.2310 | 0.2500 | 0.4730 |
| O4 | O | 4c | 4 | 0.2220 | 0.2500 | 0.0290 |
| O5 | O | 4c | 4 | 0.4960 | 0.2500 | 0.2380 |
| O6 | O | 4c | 4 | 0.4850 | 0.2500 | 0.7240 |
| W7 | W | 4c | 4 | 0.4710 | 0.2500 | 0.4690 |
| W8 | W | 4c | 4 | 0.4700 | 0.2500 | 0.9680 |
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_62_ab4c_2c-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 62, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4b; O: 4c; O: 4c; O: 4c; O: 4c; W: 4c; W: 4c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Original \beta-WO₃ (Obsolete).
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_oP32_62_ab4c_2c-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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