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Al₁₃Cr₄Si₄

Cubic · space group F-43m (No. 216) · Pearson cF84

Symmetry elements and Wyckoff positions (interactive)

Al₁₃Cr₄Si₄ in F-43m

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

Unit cell

Lattice constants
a = 10.917 Å, b = 10.917 Å, c = 10.917 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1301.1 ų
Atoms in the conventional cell
84 (Al 52, Cr 16, Si 16)
Formula units Z
4
Pearson symbol
cF84 — cubic, face-centred lattice, 84 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al4a40.00000.00000.0000
Cr4Cr16e160.34210.34210.3421
Si5Si16e160.12600.12600.1260
Al2Al24f240.31030.00000.0000
Al3Al24g240.56000.25000.2500

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 84 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

A13B4C4_cF84_216_afg_e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF84, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Al: 4a; Cr: 16e; Si: 16e; Al: 24f; Al: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Al₁₇Mn₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A13B4C4_cF84_216_afg_e_e-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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