Crystal Lab › Prototype structures › Trigonal
AlF₃ (D0₁₄)
Trigonal · space group R32 (No. 155) · Pearson hR8 · Strukturbericht D014
Symmetry elements and Wyckoff positions (interactive)
AlF₃ (D0₁₄) in R32
SettingUnit cell
- Lattice constants
- a = 4.916 Å, b = 4.916 Å, c = 12.454 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 260.7 ų
- Atoms in the conventional cell
- 24 (Al 6, F 18)
- Formula units Z
- 6
- Pearson symbol
- hR8 — hexagonal / trigonal, rhombohedral lattice, 8 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 6c | 6 | 0.0000 | 0.0000 | 0.7370 |
| F3 | F | 9d | 9 | 0.4300 | 0.0000 | 0.0000 |
| F2 | F | 9e | 9 | 0.5700 | 0.0000 | 0.5000 |
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 24 atoms drawn above are these sites multiplied by all 18 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
AB3_hR8_155_c_de-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR8, then the space-group number 155, then the Wyckoff letters occupied by each element in turn (Al: 6c; F: 9d; F: 9e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
FeF₃ <!--beginning with an
Note: D0₁₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_hR8_155_c_de-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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