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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Si3Si6a60.00000.00000.2500
Sc2Sc6b60.00000.00000.0000
Rh1Rh18e180.32230.00000.2500
Si4Si36f360.14060.67860.5302

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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