Crystal Lab › Prototype structures › Orthorhombic
Gd₂Ni₃Ga₅
Orthorhombic · space group Pnnn (No. 48) · Pearson oP80
Symmetry elements and Wyckoff positions (interactive)
Gd₂Ni₃Ga₅ in Pnnn
SettingUnit cell
- Lattice constants
- a = 12.261 Å, b = 11.137 Å, c = 9.854 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1345.5 ų
- Atoms in the conventional cell
- 80 (Ga 40, Ni 24, Gd 16)
- Formula units Z
- 8
- Pearson symbol
- oP80 — orthorhombic, primitive lattice, 80 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga1 | Ga | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Ga2 | Ga | 2b | 2 | 0.5000 | 0.0000 | 0.0000 |
| Ni3 | Ni | 2c | 2 | 0.0000 | 0.0000 | 0.5000 |
| Ni4 | Ni | 2d | 2 | 0.0000 | 0.5000 | 0.0000 |
| Ga5 | Ga | 4g | 4 | 0.7871 | 0.0000 | 0.0000 |
| Ni6 | Ni | 4h | 4 | 0.2950 | 0.0000 | 0.5000 |
| Ga7 | Ga | 4i | 4 | 0.0000 | 0.7242 | 0.0000 |
| Ga8 | Ga | 4j | 4 | 0.5000 | 0.7488 | 0.0000 |
| Ga9 | Ga | 8m | 8 | 0.2035 | 0.7487 | 0.0064 |
| Ga10 | Ga | 8m | 8 | 0.1520 | 0.8811 | 0.3902 |
| Ga11 | Ga | 8m | 8 | 0.6189 | 0.8877 | 0.3254 |
| Gd12 | Gd | 8m | 8 | 0.8816 | 0.3630 | 0.2777 |
| Gd13 | Gd | 8m | 8 | 0.8809 | 0.8702 | 0.2722 |
| Ni14 | Ni | 8m | 8 | 0.0932 | 0.8776 | 0.1598 |
| Ni15 | Ni | 8m | 8 | 0.6468 | 0.8744 | 0.0872 |
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 80 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
A5B2C3_oP80_48_abgij3m_2m_cdh2m-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP80, then the space-group number 48, then the Wyckoff letters occupied by each element in turn (Ga: 2a; Ga: 2b; Ni: 2c; Ni: 2d; Ga: 4g; Ni: 4h; Ga: 4i; Ga: 4j; Ga: 8m; Ga: 8m; Ga: 8m; Gd: 8m; Gd: 8m; Ni: 8m; Ni: 8m). 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 A5B2C3_oP80_48_abgij3m_2m_cdh2m-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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