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Crystal Lab › Prototype structures › Hexagonal

LiFe₆Ge₆

Hexagonal · space group P6/mmm (No. 191) · Pearson hP39

Symmetry elements and Wyckoff positions (interactive)

LiFe₆Ge₆ in P6/mmm

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

Unit cell

Lattice constants
a = 8.744 Å, b = 8.744 Å, c = 8.033 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
531.9 ų
Atoms in the conventional cell
39 (Li 3, Ge 18, Fe 18)
Formula units Z
3
Pearson symbol
hP39 — hexagonal / trigonal, primitive lattice, 39 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li1a10.00000.00000.0000
Li2Li2d20.33330.66670.5000
Ge3Ge2e20.00000.00000.6514
Ge4Ge4h40.33330.66670.8486
Fe5Fe6i60.50000.00000.2500
Ge6Ge6j60.33300.00000.0000
Ge7Ge6k60.33300.00000.5000
Fe8Fe12o120.16650.33300.7460

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 39 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

A6B6C_hP39_191_io_ehjk_ad-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP39, then the space-group number 191, then the Wyckoff letters occupied by each element in turn (Li: 1a; Li: 2d; Ge: 2e; Ge: 4h; Fe: 6i; Ge: 6j; Ge: 6k; Fe: 12o). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

LiNi₆Ge₆, LiNi₆Si₆ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B6C_hP39_191_io_ehjk_ad-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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