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Oblique lattice

From Wikipedia, the free encyclopedia
Oblique lattice Wallpaper group p2 Unit cell

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

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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. Intl Orb. Cox.
C1 1 (1) [ ] None p1
(1)
C2 2 (22) [2] None p2
(2222)

References

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