Crystal Lab › Prototype structures › Orthorhombic
Y₂Ga₉Co₃
Orthorhombic · space group Cmcm (No. 63) · Pearson oC56
Symmetry elements and Wyckoff positions (interactive)
Y₂Ga₉Co₃ in Cmcm
SettingUnit cell
- Lattice constants
- a = 12.712 Å, b = 7.383 Å, c = 9.431 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 885.1 ų
- Atoms in the conventional cell
- 56 (Co 12, Ga 36, Y 8)
- Formula units Z
- 4
- Pearson symbol
- oC56 — orthorhombic, base-centred lattice, 56 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co1 | Co | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Ga3 | Ga | 4c | 4 | 0.0000 | 0.8784 | 0.2500 |
| Co2 | Co | 8e | 8 | 0.3286 | 0.0000 | 0.0000 |
| Ga4 | Ga | 8f | 8 | 0.0000 | 0.3345 | 0.0572 |
| Ga5 | Ga | 8g | 8 | 0.8934 | 0.5578 | 0.2500 |
| Y7 | Y | 8g | 8 | 0.1644 | 0.1676 | 0.2500 |
| Ga6 | Ga | 16h | 16 | 0.1665 | 0.1677 | 0.5715 |
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 56 atoms drawn above are these sites multiplied by all 16 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
A3B9C2_oC56_63_ae_cfgh_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC56, then the space-group number 63, then the Wyckoff letters occupied by each element in turn (Co: 4a; Ga: 4c; Co: 8e; Ga: 8f; Ga: 8g; Y: 8g; Ga: 16h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Dy₂Ga₉Co₃, Er₂Ga₉Co₃, Gd₂Ga₉Co₃, Lu₂Ga₉Co₃, Nd₂Ga₉Co₃, Sm₂Ga₉Co₃, Tb₂Ga₉Co₃, Tm₂Ga₉Co₃, Yb₂Ga₉Co₃ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B9C2_oC56_63_ae_cfgh_g-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.
← Na₃V₂(PO₄)₂F₃ (NVPF) · Space group Cmcm (60 prototypes) · All prototypes · La₃NbO₇ →