Crystal Lab › Prototype structures › Trigonal
Low Temperature GaMo₄S₈
Trigonal · space group R3m (No. 160) · Pearson hR13
Symmetry elements and Wyckoff positions (interactive)
Low Temperature GaMo₄S₈ in R3m
SettingUnit cell
- Lattice constants
- a = 6.906 Å, b = 6.906 Å, c = 16.713 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 690.2 ų
- Atoms in the conventional cell
- 39 (Ga 3, Mo 12, Si 24)
- Formula units Z
- 3
- Pearson symbol
- hR13 — hexagonal / trigonal, rhombohedral lattice, 13 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga1 | Ga | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Mo2 | Mo | 3a | 3 | 0.0000 | 0.0000 | 0.3990 |
| Si4 | Si | 3a | 3 | 0.0000 | 0.0000 | 0.6360 |
| Si5 | Si | 3a | 3 | 0.0000 | 0.0000 | 0.1350 |
| Mo3 | Mo | 9b | 9 | 0.8607 | 0.1393 | 0.5353 |
| Si6 | Si | 9b | 9 | 0.1847 | 0.8153 | 0.4573 |
| Si7 | Si | 9b | 9 | 0.8487 | 0.1513 | 0.2893 |
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 39 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
AB4C8_hR13_160_a_ab_2a2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR13, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Ga: 3a; Mo: 3a; Si: 3a; Si: 3a; Mo: 9b; Si: 9b; Si: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
GaV₄S₈ <!--beginning with an
Note: T < 45K.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C8_hR13_160_a_ab_2a2b-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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