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Cr₃Si (A15)

Cubic · space group Pm-3n (No. 223) · Pearson cP8 · Strukturbericht A15

Symmetry elements and Wyckoff positions (interactive)

Cr₃Si (A15) in Pm-3n

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

Unit cell

Lattice constants
a = 4.556 Å, b = 4.556 Å, c = 4.556 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
94.6 ų
Atoms in the conventional cell
8 (Si 2, Cr 6)
Formula units Z
2
Pearson symbol
cP8 — cubic, primitive lattice, 8 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si2Si2a20.00000.00000.0000
Cr1Cr6c60.25000.00000.5000

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 8 atoms drawn above are these sites multiplied by all 48 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

A3B_cP8_223_c_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP8, then the space-group number 223, then the Wyckoff letters occupied by each element in turn (Si: 2a; Cr: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

β-W, Cr₃Ga, Cr₃Ge, Cr₃Ir, Cr₃O, Cr₃Os, Cr₃Pt, Cr₃Rh, Cr₃Ru, Cr₃Si, Mo₃Al, Mo₃Be, Mo₃Ga, Mo₃Ge, Mo₃Ir, Mo₃O, Mo₃Os, Mo₃Pt, Mo₃Si, Mo₃Sn, Nb₃Al, Nb₃Au, Nb₃Bi, Nb₃Ga, Nb₃Ge, Nb₃In, Nb₃Ir, Nb₃Os, Nb₃Pb, Nb₃Pt, Nb₃Rh, Nb₃Sb, Nb₃Sn, Ta₃Au, Ta₃Sb, Ta₃Sn, Ti₃Au, Ti₃Hg, Ti₃Ir, Ti₃Sb, Tl₃Pt, V₃Al, α-UH₃, V₃As, V₃Au, V₃Cd, V₃Co, V₃Ga, V₃Ge, V₃Ir, V₃Ni, V₃Pb, V₃Pd, V₃Pt, V₃Rh, V₃Sb, V₃Si, V₃Sn, W₃O, W₃Si, Zr₃Au, Zr₃Hg, Zr₃Sn <!--beginning with an

Note: A15.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_cP8_223_c_a-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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