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MgNi₂ Hexagonal Laves (C36)

Hexagonal · space group P63/mmc (No. 194) · Pearson hP24 · Strukturbericht C36

Symmetry elements and Wyckoff positions (interactive)

MgNi₂ Hexagonal Laves (C36) in P63/mmc

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

Unit cell

Lattice constants
a = 4.824 Å, b = 4.824 Å, c = 15.826 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
318.9 ų
Atoms in the conventional cell
24 (Mg 8, Ni 16)
Formula units Z
8
Pearson symbol
hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mg1Mg4e40.00000.00000.0940
Mg2Mg4f40.33330.66670.8442
Ni3Ni4f40.33330.66670.1251
Ni4Ni6g60.50000.00000.0000
Ni5Ni6h60.16430.32860.2500

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 24 atoms drawn above are these sites multiplied by all 24 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

AB2_hP24_194_ef_fgh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Mg: 4e; Mg: 4f; Ni: 4f; Ni: 6g; Ni: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CdCu₂, HfCr₂, HfFe₂, HfMo₂ (HT), NbCo₂, NbZn₂, ScFe₂, ThMg₂ (LT), β-TiCo₂, UPt₂ <!--beginning with an

Note: C36, Hexagonal Laves.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hP24_194_ef_fgh-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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