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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
V7V4c40.00000.95500.2500
Bi1Bi8e80.16970.00000.0000
O3O8f80.00000.22500.8760
V8V8f80.00000.47100.9820
Bi2Bi8g80.16840.46190.2500
O4O8g80.10150.05900.2500
O5O16h160.24900.25170.8790
O6O16h160.06310.65400.9250

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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