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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Cr1Cr2a20.00000.00000.0000
Cr2Cr4i40.73700.00000.7250
S3S4i40.63700.00000.9920
S4S4i40.12400.00000.4440

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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