Crystal Lab › Prototype structures › Trigonal
H₃S (130 GPa)
Trigonal · space group R3m (No. 160) · Pearson hR4
Symmetry elements and Wyckoff positions (interactive)
H₃S (130 GPa) in R3m
SettingUnit cell
- Lattice constants
- a = 4.405 Å, b = 4.405 Å, c = 2.689 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 45.2 ų
- Atoms in the conventional cell
- 12 (S 3, H 9)
- Formula units Z
- 3
- Pearson symbol
- hR4 — hexagonal / trigonal, rhombohedral lattice, 4 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| S2 | S | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| H1 | H | 9b | 9 | 0.8476 | 0.1524 | 0.6731 |
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 12 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
A3B_hR4_160_b_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR4, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (S: 3a; H: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: HP Theory.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_hR4_160_b_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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