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Crystal Lab › Prototype structures › Cubic

RhBi₄

Cubic · space group Ia-3d (No. 230) · Pearson cI120

Symmetry elements and Wyckoff positions (interactive)

RhBi₄ in Ia-3d

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

Unit cell

Lattice constants
a = 14.928 Å, b = 14.928 Å, c = 14.928 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
3326.6 ų
Atoms in the conventional cell
120 (Rh 24, Bi 96)
Formula units Z
24
Pearson symbol
cI120 — cubic, body-centred lattice, 120 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Rh2Rh24c240.12500.00000.2500
Bi1Bi96h960.02400.43000.1530

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 120 atoms drawn above are these sites multiplied by all 96 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

A4B_cI120_230_h_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI120, then the space-group number 230, then the Wyckoff letters occupied by each element in turn (Rh: 24c; Bi: 96h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B_cI120_230_h_c-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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