Crystal Lab › Prototype structures › Trigonal
Rhombohedral MoS₂
Trigonal · space group R3m (No. 160) · Pearson hR3
Symmetry elements and Wyckoff positions (interactive)
Rhombohedral MoS₂ in R3m
SettingUnit cell
- Lattice constants
- a = 3.170 Å, b = 3.170 Å, c = 18.380 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 160.0 ų
- Atoms in the conventional cell
- 9 (Mo 3, S 6)
- Formula units Z
- 3
- Pearson symbol
- hR3 — hexagonal / trigonal, rhombohedral lattice, 3 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mo1 | Mo | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| S2 | S | 3a | 3 | 0.0000 | 0.0000 | 0.2500 |
| S3 | S | 3a | 3 | 0.0000 | 0.0000 | 0.4167 |
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 9 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
AB2_hR3_160_a_2a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR3, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Mo: 3a; S: 3a; S: 3a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
MoN₂, NbS₂, NbSe₂, TaS₂, TaSe₂, WS₂ <!--beginning with an
Note: Rhombohedral MoS₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hR3_160_a_2a-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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