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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Al1Al6c60.00000.00000.7370
F3F9d90.43000.00000.0000
F2F9e90.57000.00000.5000

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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