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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Mo1Mo3a30.00000.00000.0000
S2S3a30.00000.00000.2500
S3S3a30.00000.00000.4167

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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