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Crystal Lab › Prototype structures › Trigonal

Hazelwoodite (Ni₃S₂, D5_{e})

Trigonal · space group R32 (No. 155) · Pearson hR5 · Strukturbericht D53 · mineral: hazelwoodite

Symmetry elements and Wyckoff positions (interactive)

Hazelwoodite (Ni₃S₂, D5_{e}) in R32

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

Unit cell

Lattice constants
a = 5.733 Å, b = 5.733 Å, c = 7.114 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
202.5 ų
Atoms in the conventional cell
15 (S 6, Ni 9)
Formula units Z
3
Pearson symbol
hR5 — hexagonal / trigonal, rhombohedral lattice, 5 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
S2S6c60.00000.00000.2521
Ni1Ni9e90.74490.00000.5000

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 15 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

A3B2_hR5_155_e_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR5, then the space-group number 155, then the Wyckoff letters occupied by each element in turn (S: 6c; Ni: 9e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ni₃Se₂ <!--beginning with an

Note: Hazelwoodite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2_hR5_155_e_c-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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