Crystal Lab › Prototype structures › Trigonal
ScRh₃Si₇
Trigonal · space group R-3c (No. 167) · Pearson hR22
Symmetry elements and Wyckoff positions (interactive)
ScRh₃Si₇ in R-3c
SettingUnit cell
- Lattice constants
- a = 7.506 Å, b = 7.506 Å, c = 19.691 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 960.7 ų
- Atoms in the conventional cell
- 66 (Si 42, Sc 6, Rh 18)
- Formula units Z
- 6
- Pearson symbol
- hR22 — hexagonal / trigonal, rhombohedral lattice, 22 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Si3 | Si | 6a | 6 | 0.0000 | 0.0000 | 0.2500 |
| Sc2 | Sc | 6b | 6 | 0.0000 | 0.0000 | 0.0000 |
| Rh1 | Rh | 18e | 18 | 0.3223 | 0.0000 | 0.2500 |
| Si4 | Si | 36f | 36 | 0.1406 | 0.6786 | 0.5302 |
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 66 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
A3BC7_hR22_167_e_b_af-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR22, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (Si: 6a; Sc: 6b; Rh: 18e; Si: 36f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CeAu₃Al₇, NdAu₃Al₇, PrAu₃Al₇, ScIr₃Si₇, SmAu₃Al₇, YbIr₃GE₇, YbIr₃Si₇, YbRh₃Si₇ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC7_hR22_167_e_b_af-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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