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Ce₄Ga₅Rh₉

Trigonal · space group R-3m (No. 166) · Pearson hR18

Symmetry elements and Wyckoff positions (interactive)

Ce₄Ga₅Rh₉ in R-3m

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

Unit cell

Lattice constants
a = 5.572 Å, b = 5.572 Å, c = 35.031 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
941.9 ų
Atoms in the conventional cell
54 (Ga 15, Ce 12, Rh 27)
Formula units Z
3
Pearson symbol
hR18 — hexagonal / trigonal, rhombohedral lattice, 18 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ga3Ga3a30.00000.00000.0000
Ce1Ce6c60.00000.00000.5492
Ce2Ce6c60.00000.00000.6463
Ga4Ga6c60.00000.00000.7778
Ga5Ga6c60.00000.00000.8892
Rh6Rh9d90.50000.00000.5000
Rh7Rh18h180.50210.49790.6113

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 54 atoms drawn above are these sites multiplied by all 36 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

A4B5C9_hR18_166_2c_a2c_dh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR18, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Ga: 3a; Ce: 6c; Ce: 6c; Ga: 6c; Ga: 6c; Rh: 9d; Rh: 18h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Gd₄Ga₅Rh₉ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B5C9_hR18_166_2c_a2c_dh-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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