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Cr₂₃C₆ (D8₄)

Cubic · space group Fm-3m (No. 225) · Pearson cF116 · Strukturbericht D84

Symmetry elements and Wyckoff positions (interactive)

Cr₂₃C₆ (D8₄) in Fm-3m

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

Unit cell

Lattice constants
a = 10.650 Å, b = 10.650 Å, c = 10.650 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1207.9 ų
Atoms in the conventional cell
116 (Cr 92, C 24)
Formula units Z
4
Pearson symbol
cF116 — cubic, face-centred lattice, 116 atoms per conventional cell
Symmetry operations
192 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cr2Cr4a40.00000.00000.0000
Cr3Cr8c80.25000.25000.2500
C1C24e240.27650.00000.0000
Cr4Cr32f320.61910.61910.6191
Cr5Cr48h480.00000.16990.1699

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 116 atoms drawn above are these sites multiplied by all 192 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

A6B23_cF116_225_e_acfh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF116, then the space-group number 225, then the Wyckoff letters occupied by each element in turn (Cr: 4a; Cr: 8c; C: 24e; Cr: 32f; Cr: 48h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Mn₂₃C₆, Co₂₁Sn₂B₆, Fe₂₁Mo₂C₆, Fe₂₁W₂C₆, Ni₂₀Mg₃B₆, Ni₂₁In₂B₆, Ni₂₁Sn₂B₆ <!--beginning with an

Note: D8₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B23_cF116_225_e_acfh-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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