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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ru1 | Ru | 2a | 2 | 0.0000 | 0.0000 | 0.2500 |
| Ru2 | Ru | 2d | 2 | 0.5000 | 0.5000 | 0.0000 |
| Sn4 | Sn | 4e | 4 | 0.6770 | 0.6770 | 0.2500 |
| Ru3 | Ru | 4i | 4 | 0.0000 | 0.5000 | 0.3750 |
| Sn5 | Sn | 8j | 8 | 0.1550 | 0.7160 | 0.0820 |
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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