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Crystal Lab › Prototype structures › Cubic

δ-Bi₂O₃

Cubic · space group Fm-3m (No. 225) · Pearson cF36

Symmetry elements and Wyckoff positions (interactive)

δ-Bi₂O₃ in Fm-3m

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Bi1Bi4a40.00000.00000.0000
O2O32f320.31600.31600.3160

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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