Crystal Lab › Prototype structures › Triclinic
δ-WO₃ O₃W
Triclinic · space group P-1 (No. 2) · Pearson aP32
Symmetry elements and Wyckoff positions (interactive)
δ-WO₃ in P-1
SettingUnit cell
- Lattice constants
- a = 7.309 Å, b = 7.522 Å, c = 7.678 Å; α = 88.81°, β = 89.08°, γ = 89.07°
- Cell volume
- 421.9 ų
- Atoms in the conventional cell
- 32 (O 24, W 8)
- Formula units Z
- 8
- Pearson symbol
- aP32 — triclinic, primitive lattice, 32 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O10 | O | 2i | 2 | 0.2971 | 0.5446 | 0.4982 |
| O1 | O | 2i | 2 | 0.0007 | 0.0386 | 0.2100 |
| O11 | O | 2i | 2 | 0.2096 | 0.4820 | 0.9928 |
| O12 | O | 2i | 2 | 0.2088 | 0.9830 | 0.5051 |
| O2 | O | 2i | 2 | 0.5038 | 0.5361 | 0.2181 |
| O3 | O | 2i | 2 | 0.0076 | 0.4660 | 0.2884 |
| O4 | O | 2i | 2 | 0.4972 | 0.9638 | 0.2878 |
| O5 | O | 2i | 2 | 0.2851 | 0.2574 | 0.2870 |
| O6 | O | 2i | 2 | 0.2204 | 0.7630 | 0.2232 |
| O7 | O | 2i | 2 | 0.2186 | 0.2627 | 0.7258 |
| O8 | O | 2i | 2 | 0.2840 | 0.7583 | 0.7679 |
| O9 | O | 2i | 2 | 0.2943 | 0.0422 | 0.9998 |
| W13 | W | 2i | 2 | 0.2566 | 0.0259 | 0.2850 |
| W14 | W | 2i | 2 | 0.2502 | 0.5280 | 0.2158 |
| W15 | W | 2i | 2 | 0.2438 | 0.0313 | 0.7817 |
| W16 | W | 2i | 2 | 0.2499 | 0.5338 | 0.7190 |
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 2 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_aP32_2_12i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP32, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; W: 2i; W: 2i; W: 2i; W: 2i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \delta-WO₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_aP32_2_12i_4i-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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