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Crystal Lab › Prototype structures › Monoclinic

Lu₂Co₃Si₅

Monoclinic · space group C12/c1 (No. 15) · Pearson mC40

Symmetry elements and Wyckoff positions (interactive)

Lu₂Co₃Si₅ in C12/c1

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

Unit cell

Lattice constants
a = 11.018 Å, b = 11.358 Å, c = 9.370 Å; α = 90.00°, β = 150.49°, γ = 90.00°
Cell volume
577.6 ų
Atoms in the conventional cell
40 (Co 12, Si 20, Lu 8)
Formula units Z
4
Pearson symbol
mC40 — monoclinic, base-centred lattice, 40 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co1Co4e40.00000.75310.2500
Si4Si4e40.00000.96340.2500
Si5Si4e40.00000.26270.2500
Si6Si4e40.00000.52370.2500
Co2Co8f80.27720.60920.9292
Lu3Lu8f80.74760.88750.7303
Si7Si8f80.24770.65200.6654

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 40 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

A3B2C5_mC40_15_ef_f_3ef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC40, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Co: 4e; Si: 4e; Si: 4e; Si: 4e; Co: 8f; Lu: 8f; Si: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Dy₂Co₃Si₅, Sc₂Co₃Si₅, Y₂Co₃Si₅ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C5_mC40_15_ef_f_3ef-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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