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Ce₅Ga₇Rh₁₂

Trigonal · space group R-3m (No. 166) · Pearson hR24

Symmetry elements and Wyckoff positions (interactive)

Ce₅Ga₇Rh₁₂ in R-3m

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

Unit cell

Lattice constants
a = 5.584 Å, b = 5.584 Å, c = 46.826 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1264.3 ų
Atoms in the conventional cell
72 (Ce 15, Ga 21, Rh 36)
Formula units Z
3
Pearson symbol
hR24 — hexagonal / trigonal, rhombohedral lattice, 24 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ce1Ce3a30.00000.00000.0000
Ga4Ga3b30.00000.00000.5000
Ce2Ce6c60.00000.00000.1504
Ce3Ce6c60.00000.00000.0757
Ga5Ga6c60.00000.00000.2501
Ga6Ga6c60.00000.00000.3331
Ga7Ga6c60.00000.00000.4172
Rh8Rh18h180.49940.50060.0416
Rh9Rh18h180.50290.49710.1253

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 72 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

A5B7C12_hR24_166_a2c_b3c_2h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR24, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Ce: 3a; Ga: 3b; Ce: 6c; Ce: 6c; Ga: 6c; Ga: 6c; Ga: 6c; Rh: 18h; Rh: 18h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Nd₅Ga₇Rh₁₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B7C12_hR24_166_a2c_b3c_2h-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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