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Crystal Lab › Prototype structures › Orthorhombic

Y₂Ga₉Co₃

Orthorhombic · space group Cmcm (No. 63) · Pearson oC56

Symmetry elements and Wyckoff positions (interactive)

Y₂Ga₉Co₃ in Cmcm

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Co1Co4a40.00000.00000.0000
Ga3Ga4c40.00000.87840.2500
Co2Co8e80.32860.00000.0000
Ga4Ga8f80.00000.33450.0572
Ga5Ga8g80.89340.55780.2500
Y7Y8g80.16440.16760.2500
Ga6Ga16h160.16650.16770.5715

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.

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