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Trigonal MoS₂

Trigonal · space group P3 (No. 143) · Pearson hP12

Symmetry elements and Wyckoff positions (interactive)

Trigonal MoS₂ in P3

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Mo1Mo1a10.00000.00000.5000
S3S1b10.33330.66670.2500
S4S1c10.66670.33330.7500
Mo2Mo3d30.93460.38810.5000
S5S3d30.33330.16670.2500
S6S3d30.16670.33330.7500

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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