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Crystal Lab › Prototype structures › Hexagonal

Zr₅Ir₃

Hexagonal · space group P6122 (No. 178) · Pearson hP48

Symmetry elements and Wyckoff positions (interactive)

Zr₅Ir₃ in P6122

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

Unit cell

Lattice constants
a = 7.931 Å, b = 7.931 Å, c = 17.010 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
926.5 ų
Atoms in the conventional cell
48 (Ir 18, Zr 30)
Formula units Z
6
Pearson symbol
hP48 — hexagonal / trigonal, primitive lattice, 48 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ir1Ir6a60.61110.00000.0000
Zr3Zr6a60.28400.00000.0000
Zr4Zr6b60.37100.74200.2500
Zr5Zr6b60.65570.31140.2500
Ir2Ir12c120.41370.01870.1444
Zr6Zr12c120.23840.00620.3396

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 48 atoms drawn above are these sites multiplied by all 12 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

A3B5_hP48_178_ac_a2bc-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP48, then the space-group number 178, then the Wyckoff letters occupied by each element in turn (Ir: 6a; Zr: 6a; Zr: 6b; Zr: 6b; Ir: 12c; Zr: 12c). 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 A3B5_hP48_178_ac_a2bc-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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