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Crystal Lab › Prototype structures › Trigonal

S₆ (ρ-S) Sulfur

Trigonal · space group R-3 (No. 148) · Pearson hR6

Symmetry elements and Wyckoff positions (interactive)

S₆ (ρ-S) Sulfur in R-3

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

Unit cell

Lattice constants
a = 10.818 Å, b = 10.818 Å, c = 4.280 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
433.8 ų
Atoms in the conventional cell
18 (S 18)
Formula units Z
18
Pearson symbol
hR6 — hexagonal / trigonal, rhombohedral lattice, 6 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
S1S18f180.81210.29050.9388

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 18 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

A_hR6_148_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR6, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (S: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \rho-S.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_hR6_148_f-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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