Crystal Lab › Prototype structures › Orthorhombic
AuSn₂
Orthorhombic · space group Pbca (No. 61) · Pearson oP24
Symmetry elements and Wyckoff positions (interactive)
AuSn₂ in Pbca
SettingUnit cell
- Lattice constants
- a = 6.898 Å, b = 7.011 Å, c = 11.773 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 569.4 ų
- Atoms in the conventional cell
- 24 (Au 8, Sn 16)
- Formula units Z
- 8
- Pearson symbol
- oP24 — orthorhombic, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Au1 | Au | 8c | 8 | 0.0118 | 0.8919 | 0.1165 |
| Sn2 | Sn | 8c | 8 | 0.8526 | 0.2512 | 0.0894 |
| Sn3 | Sn | 8c | 8 | 0.1291 | 0.5278 | 0.1723 |
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 24 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
AB2_oP24_61_c_2c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP24, then the space-group number 61, then the Wyckoff letters occupied by each element in turn (Au: 8c; Sn: 8c; Sn: 8c). 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 AB2_oP24_61_c_2c-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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