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Gd₄RhIn

Cubic · space group F-43m (No. 216) · Pearson cF96

Symmetry elements and Wyckoff positions (interactive)

Gd₄RhIn in F-43m

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

Unit cell

Lattice constants
a = 13.707 Å, b = 13.707 Å, c = 13.707 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2575.3 ų
Atoms in the conventional cell
96 (Gd 64, In 16, Rh 16)
Formula units Z
16
Pearson symbol
cF96 — cubic, face-centred lattice, 96 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Gd1Gd16e160.34950.34950.3495
In4In16e160.58180.58180.5818
Rh5Rh16e160.14250.14250.1425
Gd2Gd24f240.19000.00000.0000
Gd3Gd24g240.56270.25000.2500

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 96 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

A4BC_cF96_216_efg_e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF96, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Gd: 16e; In: 16e; Rh: 16e; Gd: 24f; Gd: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ca₄AgMg, Ca₄AuMg, Ca₄PdMg, Ce₄RuMg, Dy₄CoCd, Dy₄CoMg, Dy₄PdAl, Dy₄PdMg, Dy₄PtAl, Dy₄PtMg, Dy₄RhCd, Dy₄RhIn, Er₄CoMg, Er₄PdAl, Er₄PdMg, Er₄PtAl, Er₄PtMg, Er₄RhAl, Er₄RhIn, Eu₄AuMg, Eu₄PdMg, Eu₄PtMg, Gd₄CoMg, Gd₄PdAl, Gd₄PtAl, Gd₄RhAl, Gd₄RhIn, Ho₄CoCd, Ho₄CoMg, Ho₄PdAl, Ho₄PdMg, Ho₄PtAl, Ho₄PtMg, Ho₄RhAl, Ho₄RhCd, Ho₄RhIn, La₄CoMg, Lu₄PdAl, Lu₄PdMg, Lu₄PtAl, Lu₄PtMg, Lu₄RhIn, Nd₄CdIr, Nd₄CoMg, Pr₄CoMg, Sm₄CoMg, Sm₄PdAl, Sm₄PdMg, Sm₄PtAl, Tb₄CoCd, Tb₄CoMg, Tb₄PdAl, Tb₄PtAl, Tb₄PtMg, Tb₄RhAl, Tb₄RhCd, Tb₄RhIn, Tm₄CoMg, Tm₄PdAl, Tm₄PdMg, Tm₄PtAl, Tm₄PtMg, Tm₄RhIn, Y₄CoMg, Y₄PdAl, Y₄PtAl, Yb₄AgMg,

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC_cF96_216_efg_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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