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Crystal Lab › Prototype structures › Tetragonal

Ru₂Sn₃

Tetragonal · space group P-4c2 (No. 116) · Pearson tP20

Symmetry elements and Wyckoff positions (interactive)

Ru₂Sn₃ in P-4c2

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

Unit cell

Lattice constants
a = 6.172 Å, b = 6.172 Å, c = 9.915 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
377.7 ų
Atoms in the conventional cell
20 (Ru 8, Sn 12)
Formula units Z
4
Pearson symbol
tP20 — tetragonal, primitive lattice, 20 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ru1Ru2a20.00000.00000.2500
Ru2Ru2d20.50000.50000.0000
Sn4Sn4e40.67700.67700.2500
Ru3Ru4i40.00000.50000.3750
Sn5Sn8j80.15500.71600.0820

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 20 atoms drawn above are these sites multiplied by all 8 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

A2B3_tP20_116_adi_ej-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP20, then the space-group number 116, then the Wyckoff letters occupied by each element in turn (Ru: 2a; Ru: 2d; Sn: 4e; Ru: 4i; Sn: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3_tP20_116_adi_ej-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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