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Crystal Lab › Prototype structures › Trigonal

SbI₃S₂₄

Trigonal · space group R3m (No. 160) · Pearson hR28

Symmetry elements and Wyckoff positions (interactive)

SbI₃S₂₄ in R3m

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

Unit cell

Lattice constants
a = 24.817 Å, b = 24.817 Å, c = 4.428 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
2361.7 ų
Atoms in the conventional cell
84 (Sb 3, I 9, S 72)
Formula units Z
3
Pearson symbol
hR28 — hexagonal / trigonal, rhombohedral lattice, 28 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Sb7Sb3a30.00000.00000.3146
I1I9b90.94490.05510.0000
S2S9b90.86610.13390.7230
S3S9b90.75800.24200.6935
S4S18c180.45020.41690.2810
S5S18c180.38420.42590.0457
S6S18c180.37300.49280.2537

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 84 atoms drawn above are these sites multiplied by all 18 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

A3B24C_hR28_160_b_2b3c_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR28, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Sb: 3a; I: 9b; S: 9b; S: 9b; S: 18c; S: 18c; S: 18c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B24C_hR28_160_b_2b3c_a-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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