Symmetry elements and Wyckoff positions (interactive)
δ-Bi₂O₃ in Fm-3m
SettingUnit cell
- Lattice constants
- a = 5.660 Å, b = 5.660 Å, c = 5.660 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 181.3 ų
- Atoms in the conventional cell
- 36 (Bi 4, O 32)
- Formula units Z
- 4
- Pearson symbol
- cF36 — cubic, face-centred lattice, 36 atoms per conventional cell
- Symmetry operations
- 192 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Bi1 | Bi | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| O2 | O | 32f | 32 | 0.3160 | 0.3160 | 0.3160 |
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 36 atoms drawn above are these sites multiplied by all 192 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
AB8_cF36_225_a_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF36, then the space-group number 225, then the Wyckoff letters occupied by each element in turn (Bi: 4a; O: 32f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
α-CuI, γ-CuI <!--beginning with an
Note: \delta-Bi₂O₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB8_cF36_225_a_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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