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La₃Rh₄Sn₁₃

Cubic · space group I4132 (No. 214) · Pearson cI320

Symmetry elements and Wyckoff positions (interactive)

La₃Rh₄Sn₁₃ in I4132

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Rh3Rh8a80.12500.12500.1250
Rh4Rh8b80.87500.87500.8750
Sn7Sn16e160.00000.00000.0000
La1La24g240.12500.24950.4995
Rh5Rh24g240.12500.87500.1250
La2La24h240.12500.24950.0005
Rh6Rh24h240.12500.62500.6250
Sn10Sn48i480.50030.65760.4210
Sn11Sn48i480.00030.85680.0743
Sn8Sn48i480.00100.15320.0773
Sn9Sn48i480.49900.34610.4219

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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