Crystal Lab › Prototype structures › Trigonal
Rhombohedral Cr₂S₃
Trigonal · space group R-3 (No. 148) · Pearson hR10
Symmetry elements and Wyckoff positions (interactive)
Rhombohedral Cr₂S₃ in R-3
SettingUnit cell
- Lattice constants
- a = 5.937 Å, b = 5.937 Å, c = 16.698 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 509.7 ų
- Atoms in the conventional cell
- 30 (Cr 12, S 18)
- Formula units Z
- 6
- Pearson symbol
- hR10 — hexagonal / trigonal, rhombohedral lattice, 10 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cr1 | Cr | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Cr2 | Cr | 3b | 3 | 0.0000 | 0.0000 | 0.5000 |
| Cr3 | Cr | 6c | 6 | 0.0000 | 0.0000 | 0.3333 |
| S4 | S | 18f | 18 | 0.6667 | 0.0000 | 0.2500 |
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 30 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
A2B3_hR10_148_abc_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR10, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Cr: 3a; Cr: 3b; Cr: 6c; S: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Cr₂Se₃, Cr₂Te₃ <!--beginning with an
Note: Rhombohedral.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3_hR10_148_abc_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.
← Pd₁₅P₂ · Space group R-3 (27 prototypes) · All prototypes · Phenakite (Be₂SiO₄, S1₃) →