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Crystal Lab › Prototype structures › Hexagonal

Ce₂₄Co₁₁

Hexagonal · space group P63mc (No. 186) · Pearson hP70

Symmetry elements and Wyckoff positions (interactive)

Ce₂₄Co₁₁ in P63mc

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

Unit cell

Lattice constants
a = 9.587 Å, b = 9.587 Å, c = 21.825 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1737.2 ų
Atoms in the conventional cell
70 (Ce 48, Co 22)
Formula units Z
2
Pearson symbol
hP70 — hexagonal / trigonal, primitive lattice, 70 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ce1Ce2a20.00000.00000.2074
Ce2Ce2a20.00000.00000.0526
Co11Co2a20.00000.00000.4326
Ce3Ce2b20.33330.66670.8647
Co12Co2b20.33330.66670.0845
Ce10Ce6c60.12450.87550.8542
Ce4Ce6c60.20110.79890.0000
Ce5Ce6c60.20160.79840.1628
Ce6Ce6c60.20290.79710.4414
Ce7Ce6c60.20650.79350.7091
Ce8Ce6c60.45800.54200.3057
Ce9Ce6c60.45860.54140.5748
Co13Co6c60.14560.85440.2762
Co14Co6c60.15030.84970.5881
Co15Co6c60.48190.51810.9290

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 70 atoms drawn above are these sites multiplied by all 12 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

A24B11_hP70_186_2ab7c_ab3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP70, then the space-group number 186, then the Wyckoff letters occupied by each element in turn (Ce: 2a; Ce: 2a; Co: 2a; Ce: 2b; Co: 2b; Ce: 6c; Ce: 6c; Ce: 6c; Ce: 6c; Ce: 6c; Ce: 6c; Ce: 6c; Co: 6c; Co: 6c; Co: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

La₂₄Ru₁₁, Nd₂₄Co₁₁ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A24B11_hP70_186_2ab7c_ab3c-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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