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Crystal Lab › Prototype structures › Orthorhombic

Gd₂Ni₃Ga₅

Orthorhombic · space group Pnnn (No. 48) · Pearson oP80

Symmetry elements and Wyckoff positions (interactive)

Gd₂Ni₃Ga₅ in Pnnn

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Ga1Ga2a20.00000.00000.0000
Ga2Ga2b20.50000.00000.0000
Ni3Ni2c20.00000.00000.5000
Ni4Ni2d20.00000.50000.0000
Ga5Ga4g40.78710.00000.0000
Ni6Ni4h40.29500.00000.5000
Ga7Ga4i40.00000.72420.0000
Ga8Ga4j40.50000.74880.0000
Ga9Ga8m80.20350.74870.0064
Ga10Ga8m80.15200.88110.3902
Ga11Ga8m80.61890.88770.3254
Gd12Gd8m80.88160.36300.2777
Gd13Gd8m80.88090.87020.2722
Ni14Ni8m80.09320.87760.1598
Ni15Ni8m80.64680.87440.0872

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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