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Crystal Lab › Prototype structures › Trigonal

H₃S (130 GPa)

Trigonal · space group R3m (No. 160) · Pearson hR4

Symmetry elements and Wyckoff positions (interactive)

H₃S (130 GPa) in R3m

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

Unit cell

Lattice constants
a = 4.405 Å, b = 4.405 Å, c = 2.689 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
45.2 ų
Atoms in the conventional cell
12 (S 3, H 9)
Formula units Z
3
Pearson symbol
hR4 — hexagonal / trigonal, rhombohedral lattice, 4 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
S2S3a30.00000.00000.0000
H1H9b90.84760.15240.6731

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 12 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

A3B_hR4_160_b_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR4, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (S: 3a; H: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: HP Theory.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_hR4_160_b_a-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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