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Theoretical cF40 AlN

Cubic · space group F-43m (No. 216) · Pearson cF40

Symmetry elements and Wyckoff positions (interactive)

Theoretical cF40 AlN in F-43m

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

Unit cell

Lattice constants
a = 8.193 Å, b = 8.193 Å, c = 8.193 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
549.9 ų
Atoms in the conventional cell
40 (Al 20, N 20)
Formula units Z
20
Pearson symbol
cF40 — cubic, face-centred lattice, 40 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al4a40.00000.00000.0000
N3N4b40.50000.50000.5000
Al2Al16e160.36370.36370.3637
N4N16e160.13040.13040.1304

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 40 atoms drawn above are these sites multiplied by all 96 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

AB_cF40_216_ae_be-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF40, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Al: 4a; N: 4b; Al: 16e; N: 16e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Theoretical.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_cF40_216_ae_be-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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