Crystal Lab › Prototype structures › Trigonal
Millerite (NiS, B13)
Trigonal · space group R3m (No. 160) · Pearson hR6 · Strukturbericht B13 · mineral: millerite
Symmetry elements and Wyckoff positions (interactive)
Millerite (NiS, B13) in R3m
SettingUnit cell
- Lattice constants
- a = 9.619 Å, b = 9.619 Å, c = 3.150 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 252.4 ų
- Atoms in the conventional cell
- 18 (Ni 9, S 9)
- Formula units Z
- 9
- Pearson symbol
- hR6 — hexagonal / trigonal, rhombohedral lattice, 6 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ni1 | Ni | 9b | 9 | 0.5789 | 0.4211 | 0.4213 |
| S2 | S | 9b | 9 | 0.4457 | 0.5543 | 0.2831 |
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
AB_hR6_160_b_b-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 160, then the Wyckoff letters occupied by each element in turn (Ni: 9b; S: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
β-FeS, NiSe <!--beginning with an
Note: B13, Millerite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hR6_160_b_b-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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