Crystal Lab › Prototype structures › Hexagonal
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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Th3 | Th | 2a | 2 | 0.0000 | 0.0000 | 0.2500 |
| S1 | S | 6h | 6 | 0.5140 | 0.3750 | 0.2500 |
| S2 | S | 6h | 6 | 0.2350 | 0.0000 | 0.2500 |
| Th4 | Th | 6h | 6 | 0.1530 | 0.7170 | 0.2500 |
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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