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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
In1In8c80.00000.00000.0000
In2In8e80.00000.25000.2044
In3In16h160.00000.52010.3324
S4S16h160.00000.51600.2547
S5S16h160.00000.49400.0859
S6S16h160.00000.46670.4164

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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