Crystal Lab › Prototype structures › Tetragonal
β-In₂S₃
Tetragonal · space group I41/amd (No. 141) · Pearson tI80
Symmetry elements and Wyckoff positions (interactive)
β-In₂S₃ in I41/amd
SettingUnit cell
- Lattice constants
- a = 7.594 Å, b = 7.594 Å, c = 32.352 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1865.6 ų
- Atoms in the conventional cell
- 80 (In 32, S 48)
- Formula units Z
- 16
- Pearson symbol
- tI80 — tetragonal, body-centred lattice, 80 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| In1 | In | 8c | 8 | 0.0000 | 0.0000 | 0.0000 |
| In2 | In | 8e | 8 | 0.0000 | 0.2500 | 0.2044 |
| In3 | In | 16h | 16 | 0.0000 | 0.5201 | 0.3324 |
| S4 | S | 16h | 16 | 0.0000 | 0.5160 | 0.2547 |
| S5 | S | 16h | 16 | 0.0000 | 0.4940 | 0.0859 |
| S6 | S | 16h | 16 | 0.0000 | 0.4667 | 0.4164 |
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 80 atoms drawn above are these sites multiplied by all 32 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
A2B3_tI80_141_ceh_3h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI80, then the space-group number 141, then the Wyckoff letters occupied by each element in turn (In: 8c; In: 8e; In: 16h; S: 16h; S: 16h; S: 16h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-In₂S₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3_tI80_141_ceh_3h-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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