Crystal Lab › Prototype structures › Trigonal
SbI₃S₂₄
Trigonal · space group R3m (No. 160) · Pearson hR28
Symmetry elements and Wyckoff positions (interactive)
SbI₃S₂₄ in R3m
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Sb7 | Sb | 3a | 3 | 0.0000 | 0.0000 | 0.3146 |
| I1 | I | 9b | 9 | 0.9449 | 0.0551 | 0.0000 |
| S2 | S | 9b | 9 | 0.8661 | 0.1339 | 0.7230 |
| S3 | S | 9b | 9 | 0.7580 | 0.2420 | 0.6935 |
| S4 | S | 18c | 18 | 0.4502 | 0.4169 | 0.2810 |
| S5 | S | 18c | 18 | 0.3842 | 0.4259 | 0.0457 |
| S6 | S | 18c | 18 | 0.3730 | 0.4928 | 0.2537 |
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.
· Space group R3m (21 prototypes) · All prototypes · Sn₄As₃ →