Skip to content

Crystal Lab › Prototype structures › Trigonal

Y₂Rh₃Ga

Trigonal · space group R-3m (No. 166) · Pearson hR6

Symmetry elements and Wyckoff positions (interactive)

Y₂Rh₃Ga in R-3m

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

Unit cell

Lattice constants
a = 5.571 Å, b = 5.571 Å, c = 11.831 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
318.0 ų
Atoms in the conventional cell
18 (Ga 3, Y 6, Rh 9)
Formula units Z
3
Pearson symbol
hR6 — hexagonal / trigonal, rhombohedral lattice, 6 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ga1Ga3a30.00000.00000.0000
Y3Y6c60.00000.00000.3698
Rh2Rh9d90.50000.00000.5000

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 18 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

AB3C2_hR6_166_a_d_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR6, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Ga: 3a; Y: 6c; Rh: 9d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ce₂Rh₃Ga, Dy₂Rh₃Ga, Er₂Rh₃Ga, Gd₂Rh₃Ga, Ho₂Rh₃Ga, La₂Rh₃Ga, Nd₂Rh₃Ga, Pr₂Rh₃Ga, Sm₂Rh₃Ga, Tb₂Rh₃Ga <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C2_hR6_166_a_d_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.

← CaSi₂ (C12)  ·  Space group R-3m (75 prototypes)  ·  All prototypes  ·  9R BaRuO₃ — BaO₃Ru →