Crystal Lab › Prototype structures › Orthorhombic
β-Bi₄V₂O₁₁ Bi₄O₁₁V₂
Orthorhombic · space group Cmcm (No. 63) · Pearson oC76
Symmetry elements and Wyckoff positions (interactive)
β-Bi₄V₂O₁₁ in Cmcm
SettingUnit cell
- Lattice constants
- a = 15.347 Å, b = 5.649 Å, c = 11.233 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 973.9 ų
- Atoms in the conventional cell
- 76 (V 12, Bi 16, O 48)
- Formula units Z
- 4
- Pearson symbol
- oC76 — orthorhombic, base-centred lattice, 76 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| V7 | V | 4c | 4 | 0.0000 | 0.9550 | 0.2500 |
| Bi1 | Bi | 8e | 8 | 0.1697 | 0.0000 | 0.0000 |
| O3 | O | 8f | 8 | 0.0000 | 0.2250 | 0.8760 |
| V8 | V | 8f | 8 | 0.0000 | 0.4710 | 0.9820 |
| Bi2 | Bi | 8g | 8 | 0.1684 | 0.4619 | 0.2500 |
| O4 | O | 8g | 8 | 0.1015 | 0.0590 | 0.2500 |
| O5 | O | 16h | 16 | 0.2490 | 0.2517 | 0.8790 |
| O6 | O | 16h | 16 | 0.0631 | 0.6540 | 0.9250 |
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 76 atoms drawn above are these sites multiplied by all 16 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
A4B12C3_oC76_63_eg_fg2h_cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC76, then the space-group number 63, then the Wyckoff letters occupied by each element in turn (V: 4c; Bi: 8e; O: 8f; V: 8f; Bi: 8g; O: 8g; O: 16h; O: 16h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-Bi₄V₂O₁₁.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B12C3_oC76_63_eg_fg2h_cf-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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