Crystal Lab › Prototype structures › Trigonal
Trigonal MoS₂
Trigonal · space group P3 (No. 143) · Pearson hP12
Symmetry elements and Wyckoff positions (interactive)
Trigonal MoS₂ in P3
SettingUnit cell
- Lattice constants
- a = 6.520 Å, b = 6.520 Å, c = 6.140 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 226.0 ų
- Atoms in the conventional cell
- 12 (Mo 4, S 8)
- Formula units Z
- 4
- Pearson symbol
- hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 3 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mo1 | Mo | 1a | 1 | 0.0000 | 0.0000 | 0.5000 |
| S3 | S | 1b | 1 | 0.3333 | 0.6667 | 0.2500 |
| S4 | S | 1c | 1 | 0.6667 | 0.3333 | 0.7500 |
| Mo2 | Mo | 3d | 3 | 0.9346 | 0.3881 | 0.5000 |
| S5 | S | 3d | 3 | 0.3333 | 0.1667 | 0.2500 |
| S6 | S | 3d | 3 | 0.1667 | 0.3333 | 0.7500 |
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 3 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_hP12_143_ad_bc2d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 143, then the Wyckoff letters occupied by each element in turn (Mo: 1a; S: 1b; S: 1c; Mo: 3d; S: 3d; S: 3d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Trigonal MoS₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hP12_143_ad_bc2d-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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