Oblique lattice explained

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.

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 groupArithmetic
class
Wallpaper groups
Cox.
C11(1)[ ]+Nonep1
(1)
C22(22)[2]+Nonep2
(2222)

Notes and References

  1. Web site: Rana. Farhan. Lattices in 1D, 2D, and 3D. live. https://web.archive.org/web/20201218214110/https://courses.cit.cornell.edu/ece407/Lectures/handout4.pdf. 2020-12-18. Cornell University.