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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Li2 | Li | 2d | 2 | 0.3333 | 0.6667 | 0.5000 |
| Ge3 | Ge | 2e | 2 | 0.0000 | 0.0000 | 0.6514 |
| Ge4 | Ge | 4h | 4 | 0.3333 | 0.6667 | 0.8486 |
| Fe5 | Fe | 6i | 6 | 0.5000 | 0.0000 | 0.2500 |
| Ge6 | Ge | 6j | 6 | 0.3330 | 0.0000 | 0.0000 |
| Ge7 | Ge | 6k | 6 | 0.3330 | 0.0000 | 0.5000 |
| Fe8 | Fe | 12o | 12 | 0.1665 | 0.3330 | 0.7460 |
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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