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La₃Rh₄Sn₁₃
Cubic · space group I4132 (No. 214) · Pearson cI320
Symmetry elements and Wyckoff positions (interactive)
La₃Rh₄Sn₁₃ in I4132
SettingUnit cell
- Lattice constants
- a = 19.492 Å, b = 19.492 Å, c = 19.492 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 7405.8 ų
- Atoms in the conventional cell
- 320 (Rh 64, Sn 208, La 48)
- Formula units Z
- 16
- Pearson symbol
- cI320 — cubic, body-centred lattice, 320 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Rh3 | Rh | 8a | 8 | 0.1250 | 0.1250 | 0.1250 |
| Rh4 | Rh | 8b | 8 | 0.8750 | 0.8750 | 0.8750 |
| Sn7 | Sn | 16e | 16 | 0.0000 | 0.0000 | 0.0000 |
| La1 | La | 24g | 24 | 0.1250 | 0.2495 | 0.4995 |
| Rh5 | Rh | 24g | 24 | 0.1250 | 0.8750 | 0.1250 |
| La2 | La | 24h | 24 | 0.1250 | 0.2495 | 0.0005 |
| Rh6 | Rh | 24h | 24 | 0.1250 | 0.6250 | 0.6250 |
| Sn10 | Sn | 48i | 48 | 0.5003 | 0.6576 | 0.4210 |
| Sn11 | Sn | 48i | 48 | 0.0003 | 0.8568 | 0.0743 |
| Sn8 | Sn | 48i | 48 | 0.0010 | 0.1532 | 0.0773 |
| Sn9 | Sn | 48i | 48 | 0.4990 | 0.3461 | 0.4219 |
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 320 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
A3B4C13_cI320_214_gh_abgh_e4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI320, then the space-group number 214, then the Wyckoff letters occupied by each element in turn (Rh: 8a; Rh: 8b; Sn: 16e; La: 24g; Rh: 24g; La: 24h; Rh: 24h; Sn: 48i; Sn: 48i; Sn: 48i; Sn: 48i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ca₃Rh₄Sn₁₃, Ce₃Rh₄Sn₁₃, Gd₃Rh₄Sn₁₃, Nd₃Rh₄Sn₁₃, Pr₃Rh₄Sn₁₃, Sm₃Rh₄Sn₁₃, Tb₃Rh₄Sn₁₃, Th₃Rh₄Sn₁₃, Yb₃Rh₄Sn₁₃ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4C13_cI320_214_gh_abgh_e4i-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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