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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga1 | Ga | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Y3 | Y | 6c | 6 | 0.0000 | 0.0000 | 0.3698 |
| Rh2 | Rh | 9d | 9 | 0.5000 | 0.0000 | 0.5000 |
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.
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