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Theoretical cI24 AlN

Cubic · space group I-43d (No. 220) · Pearson cI24

Symmetry elements and Wyckoff positions (interactive)

Theoretical cI24 AlN in I-43d

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

Unit cell

Lattice constants
a = 6.295 Å, b = 6.295 Å, c = 6.295 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
249.5 ų
Atoms in the conventional cell
24 (Al 12, N 12)
Formula units Z
12
Pearson symbol
cI24 — cubic, body-centred lattice, 24 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al12a120.37500.00000.2500
N2N12b120.87500.00000.2500

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 48 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_cI24_220_a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI24, then the space-group number 220, then the Wyckoff letters occupied by each element in turn (Al: 12a; N: 12b). 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_cI24_220_a_b-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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