Mg₃Cr₂Al₁₈

Unit cell

Lattice constants

a = 14.530 Å, b = 14.530 Å, c = 14.530 Å; α = 90.00°, β = 90.00°, γ = 90.00°

Cell volume

3067.6 ų

Atoms in the conventional cell

184 (Mg 24, Cr 16, Al 144)

Formula units Z

8

Pearson symbol

cF184 — cubic, face-centred lattice, 184 atoms per conventional cell

Symmetry operations

192 per cell

Crystallographic sites

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 184 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

A18B2C3_cF184_227_fg_d_ac-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF184, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Mg: 8a; Mg: 16c; Cr: 16d; Al: 48f; Al: 96g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Mg₃Mn₂Al₁₈, Mg₃Mo₂Al₁₈, Mg₃Ta₂Al₁₈, Mg₃Ti₂Al₁₈, Mg₃V₂Al₁₈, Mg₃W₂Al₁₈, CaCr₂Al₂₀, CeCr₂Al₂₀, CeIr₂Zn₂₀, CeNi₂Cd₂₀, CePd₂Cd₂₀, CePt₂Cd₂₀, CeTi₂Al₂₀, CeV₂Al₂₀, DyCr₂Al₂₀, DyRu₂Zn₂₀, ErCr₂Al₂₀, ErV₂Al₂₀, EuCr₂Al₂₀, EuTa₂Al₂₀, EuTi₂Al₂₀, EuV₂Al₂₀, GdCr₂Al₂₀, GdCr₂Cd₂₀, GdCo₂Zn₂₀, GdNi₂Cd₂₀, GdV₂Al₂₀, HfRu₂Zn₂₀, HoCr₂Al₂₀, LaCr₂Al₂₀, LaNi₂Cd₂₀, LaPt₂Cd₂₀, LaTi₂Al₂₀, LaV₂Al₂₀, LuV₂Al₂₀, NbFe₂Zn₂₀, NdCr₂Al₂₀, NdNi₂Cd₂₀, NdPt₂Cd₂₀, PrCr₂Al₂₀, PrNi₂Cd₂₀, PrPd₂Cd₂₀, PrPt₂Cd₂₀, PrTi₂Al₂₀, PrV₂Al₂₀, ScV₂Al₂₀, SmCr₂Al₂₀, SmNi₂Cd₂₀, SmPd₂Cd₂₀, SmPt₂Cd₂₀, SmTi₂Al₂₀, SmV₂Al₂₀, TbFe₂Zn₂₀, TbNb₂Cd₂₀, ThV₂Al₂₀, U

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A18B2C3_cF184_227_fg_d_ac-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.