Crystal Lab › Prototype structures › Hexagonal
Troilite (FeS)
Hexagonal · space group P-62c (No. 190) · Pearson hP24 · mineral: troilite
Symmetry elements and Wyckoff positions (interactive)
Troilite (FeS) in P-62c
SettingUnit cell
- Lattice constants
- a = 5.970 Å, b = 5.970 Å, c = 11.760 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 363.0 ų
- Atoms in the conventional cell
- 24 (S 12, Fe 12)
- Formula units Z
- 12
- Pearson symbol
- hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| S2 | S | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| S3 | S | 4f | 4 | 0.3333 | 0.6667 | 0.5200 |
| S4 | S | 6h | 6 | 0.6683 | 0.6653 | 0.2500 |
| Fe1 | Fe | 12i | 12 | 0.3786 | 0.3233 | 0.6230 |
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 24 atoms drawn above are these sites multiplied by all 12 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_hP24_190_i_afh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 190, then the Wyckoff letters occupied by each element in turn (S: 2a; S: 4f; S: 6h; Fe: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Troilite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hP24_190_i_afh-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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