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Crystal Lab › Prototype structures › Monoclinic

Rh₃S₄: A3B4_mC42_12_ahij_2i2j-001

Monoclinic · space group C12/m1 (No. 12) · Pearson mC42

Symmetry elements and Wyckoff positions (interactive)

Rh₃S₄: A3B4_mC42_12_ahij_2i2j-001 in C12/m1

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

Unit cell

Lattice constants
a = 10.290 Å, b = 10.670 Å, c = 6.212 Å; α = 90.00°, β = 107.70°, γ = 90.00°
Cell volume
649.8 ų
Atoms in the conventional cell
42 (Rh 18, S 24)
Formula units Z
6
Pearson symbol
mC42 — monoclinic, base-centred lattice, 42 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Rh1Rh2a20.00000.00000.0000
Rh2Rh4h40.00000.15960.5000
Rh3Rh4i40.64910.00000.4454
S5S4i40.58350.00000.7709
S6S4i40.88180.00000.6117
Rh4Rh8j80.63720.14490.0499
S7S8j80.37380.65820.1146
S8S8j80.65070.21100.4010

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 42 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_mC42_12_ahij_2i2j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC42, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Rh: 2a; Rh: 4h; Rh: 4i; S: 4i; S: 4i; Rh: 8j; S: 8j; S: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Rh₃Se₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4_mC42_12_ahij_2i2j-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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