Skip to content

Crystal Lab › Prototype structures › Tetragonal

γ-LiAlO₂ AlLiO₂

Tetragonal · space group P41212 (No. 92) · Pearson tP16

Symmetry elements and Wyckoff positions (interactive)

γ-LiAlO₂ in P41212

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

Unit cell

Lattice constants
a = 5.169 Å, b = 5.169 Å, c = 6.268 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
167.4 ų
Atoms in the conventional cell
16 (Al 4, Li 4, O 8)
Formula units Z
4
Pearson symbol
tP16 — tetragonal, primitive lattice, 16 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al4a40.17590.17590.0000
Li2Li4a40.81260.81260.0000
O3O8b80.33690.29060.7723

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 8 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

ABC2_tP16_92_a_a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP16, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (Al: 4a; Li: 4a; O: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

NaAlO₂, NaFeO₂ <!--beginning with an

Note: \gamma-LiAlO₂.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_tP16_92_a_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.

← Maucherite (Ni₁₁As₈)  ·  Space group P41212 (9 prototypes)  ·  All prototypes  ·  Intermediate Temperature Tetragonal TlS — STl →