Crystal Lab › Prototype structures › Hexagonal
Hexagonal WO₃ O₃W
Hexagonal · space group P6/mmm (No. 191) · Pearson hP12
Symmetry elements and Wyckoff positions (interactive)
Hexagonal WO₃ in P6/mmm
SettingUnit cell
- Lattice constants
- a = 7.298 Å, b = 7.298 Å, c = 3.899 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 179.8 ų
- Atoms in the conventional cell
- 12 (W 3, O 9)
- Formula units Z
- 3
- Pearson symbol
- hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| W3 | W | 3f | 3 | 0.5000 | 0.0000 | 0.0000 |
| O1 | O | 3g | 3 | 0.5000 | 0.0000 | 0.5000 |
| O2 | O | 6l | 6 | 0.2120 | 0.4240 | 0.0000 |
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 12 atoms drawn above are these sites multiplied by all 24 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_hP12_191_gl_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 191, then the Wyckoff letters occupied by each element in turn (W: 3f; O: 3g; O: 6l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Hexagonal.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_hP12_191_gl_f-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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