Oblique lattice

The oblique lattice is one of the five two-dimensional Bravais lattice types.[1] The symmetry category of the lattice is wallpaper group p2. The primitive translation vectors of the oblique lattice form an angle other than 90° and are of unequal lengths.

Oblique lattice Wallpaper group p2 Unit cell

Crystal classes

The oblique lattice class names, Schönflies notation, Hermann-Mauguin notation, orbifold notation, Coxeter notation, and wallpaper groups are listed in the table below.

Geometric class, point group Arithmetic
class
Wallpaper groups
Schön.IntlOrb.Cox.
C11(1)[ ]+ None p1
(1)
C22(22)[2]+ None p2
(2222)

References

  1. Rana, Farhan. "Lattices in 1D, 2D, and 3D" (PDF). Cornell University. Archived (PDF) from the original on 2020-12-18.
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