Symmetry elements and Wyckoff positions (interactive)
Gd₄RhIn in F-43m
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Gd1 | Gd | 16e | 16 | 0.3495 | 0.3495 | 0.3495 |
| In4 | In | 16e | 16 | 0.5818 | 0.5818 | 0.5818 |
| Rh5 | Rh | 16e | 16 | 0.1425 | 0.1425 | 0.1425 |
| Gd2 | Gd | 24f | 24 | 0.1900 | 0.0000 | 0.0000 |
| Gd3 | Gd | 24g | 24 | 0.5627 | 0.2500 | 0.2500 |
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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