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γ-Bi₂O₃

Cubic · space group I23 (No. 197) · Pearson cI66

Symmetry elements and Wyckoff positions (interactive)

γ-Bi₂O₃ in I23

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

Unit cell

Lattice constants
a = 10.268 Å, b = 10.268 Å, c = 10.268 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1082.6 ų
Atoms in the conventional cell
66 (Bi 26, O 40)
Formula units Z
2
Pearson symbol
cI66 — cubic, body-centred lattice, 66 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Bi1Bi2a20.00000.00000.0000
O3O8c80.21600.21600.2160
O4O8c80.14800.14800.1480
Bi2Bi24f240.35800.18700.4720
O5O24f240.42100.23800.0140

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 66 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

A13B20_cI66_197_af_2cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI66, then the space-group number 197, then the Wyckoff letters occupied by each element in turn (Bi: 2a; O: 8c; O: 8c; Bi: 24f; O: 24f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Bi₁₂GeO₂₀, Bi₃₈ZnO₆₀ <!--beginning with an

Note: \gamma-Bi₂O₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A13B20_cI66_197_af_2cf-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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