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Cubic Cr₄PtGa₁₇ Cr₄Ga₁₇Pt

Cubic · space group F-43m (No. 216) · Pearson cF88

Symmetry elements and Wyckoff positions (interactive)

Cubic Cr₄PtGa₁₇ in F-43m

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

Unit cell

Lattice constants
a = 11.349 Å, b = 11.349 Å, c = 11.349 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1461.7 ų
Atoms in the conventional cell
88 (Ga 68, Pt 4, Cr 16)
Formula units Z
4
Pearson symbol
cF88 — cubic, face-centred lattice, 88 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ga2Ga4a40.00000.00000.0000
Pt6Pt4c40.25000.25000.2500
Cr1Cr16e160.65580.65580.6558
Ga3Ga16e160.87780.87780.8778
Ga4Ga24f240.68370.00000.0000
Ga5Ga24g240.46470.25000.2500

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 88 atoms drawn above are these sites multiplied by all 96 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

A4B17C_cF88_216_e_aefg_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF88, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Ga: 4a; Pt: 4c; Cr: 16e; Ga: 16e; Ga: 24f; Ga: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Cubic Cr₄PtGa₁₇.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B17C_cF88_216_e_aefg_c-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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