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Crystal Lab › Prototype structures › Hexagonal

Yb₆Ir₅Ga₇

Hexagonal · space group P63/mcm (No. 193) · Pearson hP36

Symmetry elements and Wyckoff positions (interactive)

Yb₆Ir₅Ga₇ in P63/mcm

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

Unit cell

Lattice constants
a = 9.304 Å, b = 9.304 Å, c = 8.430 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
632.0 ų
Atoms in the conventional cell
36 (Ga 14, Ir 10, Yb 12)
Formula units Z
2
Pearson symbol
hP36 — hexagonal / trigonal, primitive lattice, 36 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ga1Ga2b20.00000.00000.0000
Ir2Ir4d40.33330.66670.0000
Ir3Ir6g60.82740.00000.2500
Ga4Ga12j120.50500.83320.2500
Yb5Yb12k120.32720.00000.4430

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 36 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

A7B5C6_hP36_193_bj_dg_k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP36, then the space-group number 193, then the Wyckoff letters occupied by each element in turn (Ga: 2b; Ir: 4d; Ir: 6g; Ga: 12j; Yb: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ho₆Ru₅Al₇, Sc₆Ir₅Al₇, Sc₆Ir₅Ga₇ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7B5C6_hP36_193_bj_dg_k-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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