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Hg₂TiCu Inverse Heusler CuHg₂Ti

Cubic · space group F-43m (No. 216) · Pearson cF16 · mineral: Inverse Heusler

Symmetry elements and Wyckoff positions (interactive)

Hg₂TiCu Inverse Heusler in F-43m

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

Unit cell

Lattice constants
a = 6.155 Å, b = 6.155 Å, c = 6.155 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
233.2 ų
Atoms in the conventional cell
16 (Cu 4, Hg 8, Ti 4)
Formula units Z
4
Pearson symbol
cF16 — cubic, face-centred lattice, 16 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu4a40.00000.00000.0000
Hg2Hg4b40.50000.50000.5000
Hg3Hg4c40.25000.25000.2500
Ti4Ti4d40.75000.75000.7500

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 16 atoms drawn above are these sites multiplied by all 96 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

AB2C_cF16_216_a_bc_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF16, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Cu: 4a; Hg: 4b; Hg: 4c; Ti: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Mn₂CoAl, Mn₂CoGa, Mn₂CoIn, Li₂AgSb, Li₂CuSn, Li₂CuSb, Li₂AgAl, Li₂AgIn, Li₂AgSb, Li₂AgSn, Li₂AgPb, Li₂AgBi, Li₂AuGa, Li₂AuIn, Li₂AuSb, Li₂AuSn, Li₂AuPb, Li₂AuTl <!--beginning with an

Note: Inverse Heusler.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C_cF16_216_a_bc_d-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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