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Th₇S₁₂ (D8_{k})

Hexagonal · space group P63/m (No. 176) · Pearson hP20 · Strukturbericht D8k

Symmetry elements and Wyckoff positions (interactive)

Th₇S₁₂ (D8_{k}) in P63/m

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

Unit cell

Lattice constants
a = 11.086 Å, b = 11.086 Å, c = 4.010 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
426.8 ų
Atoms in the conventional cell
20 (Th 8, S 12)
Formula units Z
4
Pearson symbol
hP20 — hexagonal / trigonal, primitive lattice, 20 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Th3Th2a20.00000.00000.2500
S1S6h60.51400.37500.2500
S2S6h60.23500.00000.2500
Th4Th6h60.15300.71700.2500

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 20 atoms drawn above are these sites multiplied by all 12 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

A3B2_hP20_176_2h_ah-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP20, then the space-group number 176, then the Wyckoff letters occupied by each element in turn (Th: 2a; S: 6h; S: 6h; Th: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Th₇Se₁₂, (Ga, As)₇Pd₁₂ <!--beginning with an

Note: D8_{k}.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2_hP20_176_2h_ah-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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