Crystal Lab › Prototype structures › Monoclinic
Brezinaite (Cr₃S₄)
Monoclinic · space group C12/m1 (No. 12) · Pearson mC14 · mineral: brezinaite
Symmetry elements and Wyckoff positions (interactive)
Brezinaite (Cr₃S₄) in C12/m1
SettingUnit cell
- Lattice constants
- a = 12.614 Å, b = 3.428 Å, c = 5.964 Å; α = 90.00°, β = 116.71°, γ = 90.00°
- Cell volume
- 230.4 ų
- Atoms in the conventional cell
- 14 (Cr 6, S 8)
- Formula units Z
- 2
- Pearson symbol
- mC14 — monoclinic, base-centred lattice, 14 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cr1 | Cr | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Cr2 | Cr | 4i | 4 | 0.7370 | 0.0000 | 0.7250 |
| S3 | S | 4i | 4 | 0.6370 | 0.0000 | 0.9920 |
| S4 | S | 4i | 4 | 0.1240 | 0.0000 | 0.4440 |
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 14 atoms drawn above are these sites multiplied by all 8 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
A3B4_mC14_12_ai_2i-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC14, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Cr: 2a; Cr: 4i; S: 4i; S: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Co₃Se₄, Cr₃Te₄, Fe₃Se₄, Re₃P₄, V₃S₄, V₃Te₄, FeCr₂Se₄, MnCr₂Se₄, NiCr₂S₄, NiTi₂Se₄, VCr₂S₄ <!--beginning with an
Note: Brezinaite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4_mC14_12_ai_2i-002 (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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