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Crystal Lab › Prototype structures › Hexagonal

AlN₃Ti₄

Hexagonal · space group P63/mmc (No. 194) · Pearson hP16

Symmetry elements and Wyckoff positions (interactive)

AlN₃Ti₄ in P63/mmc

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

Unit cell

Lattice constants
a = 2.990 Å, b = 2.990 Å, c = 23.380 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
181.1 ų
Atoms in the conventional cell
16 (N 6, Al 2, Ti 8)
Formula units Z
2
Pearson symbol
hP16 — hexagonal / trigonal, primitive lattice, 16 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
N1N2a20.00000.00000.0000
Al2Al2c20.33330.66670.2500
Ti3Ti4e40.00000.00000.1543
N5N4f40.33330.66670.6050
Ti4Ti4f40.33330.66670.0539

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 16 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

AB3C4_hP16_194_c_af_ef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP16, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (N: 2a; Al: 2c; Ti: 4e; N: 4f; Ti: 4f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CAl₃Ti₄, CsYb₃Se₄ <!--beginning with an

Note: MAX Phase.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C4_hP16_194_c_af_ef-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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