Crystal Lab › Prototype structures › Orthorhombic
GdSn₃
Orthorhombic · space group Amm2 (No. 38) · Pearson oC16
Symmetry elements and Wyckoff positions (interactive)
GdSn₃ in Amm2
SettingUnit cell
- Lattice constants
- a = 4.359 Å, b = 4.406 Å, c = 22.058 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 423.6 ų
- Atoms in the conventional cell
- 16 (Gd 4, Sn 12)
- Formula units Z
- 4
- Pearson symbol
- oC16 — orthorhombic, base-centred lattice, 16 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Gd1 | Gd | 2a | 2 | 0.0000 | 0.0000 | 0.2150 |
| Sn3 | Sn | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Sn4 | Sn | 2a | 2 | 0.0000 | 0.0000 | 0.3650 |
| Sn5 | Sn | 2a | 2 | 0.0000 | 0.0000 | 0.6150 |
| Gd2 | Gd | 2b | 2 | 0.5000 | 0.0000 | 0.4600 |
| Sn6 | Sn | 2b | 2 | 0.5000 | 0.0000 | 0.0920 |
| Sn7 | Sn | 2b | 2 | 0.5000 | 0.0000 | 0.7250 |
| Sn8 | Sn | 2b | 2 | 0.5000 | 0.0000 | 0.8540 |
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 16 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
AB3_oC16_38_ab_3a3b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC16, then the space-group number 38, then the Wyckoff letters occupied by each element in turn (Gd: 2a; Sn: 2a; Sn: 2a; Sn: 2a; Gd: 2b; Sn: 2b; Sn: 2b; Sn: 2b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
DySn₃, HoSn₃, ReSn₃, TbSn₃, TmSn₃, YSn₃ <!--beginning with an
Note: LT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_oC16_38_ab_3a3b-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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