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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| N1 | N | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Al2 | Al | 2c | 2 | 0.3333 | 0.6667 | 0.2500 |
| Ti3 | Ti | 4e | 4 | 0.0000 | 0.0000 | 0.1543 |
| N5 | N | 4f | 4 | 0.3333 | 0.6667 | 0.6050 |
| Ti4 | Ti | 4f | 4 | 0.3333 | 0.6667 | 0.0539 |
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.
← Lu₂CoGa₃ · Space group P63/mmc (74 prototypes) · All prototypes · Hexagonal BaTiO₃ — BaO₃Ti →