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Co₈Zn₉Mn₃

Cubic · space group P4132 (No. 213) · Pearson cP20

Symmetry elements and Wyckoff positions (interactive)

Co₈Zn₉Mn₃ in P4132

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

Unit cell

Lattice constants
a = 6.359 Å, b = 6.359 Å, c = 6.359 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
257.2 ų
Atoms in the conventional cell
20 (Co 8, Zn 12)
Formula units Z
4
Pearson symbol
cP20 — cubic, primitive lattice, 20 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co1Co8c80.06520.06520.0652
Zn2Zn12d120.12500.20300.4530

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 20 atoms drawn above are these sites multiplied by all 24 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

A2B3_cP20_213_c_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP20, then the space-group number 213, then the Wyckoff letters occupied by each element in turn (Co: 8c; Zn: 12d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3_cP20_213_c_d-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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