Symmetries of Coincidence Site Lattices of Cubic Lattices

Details Symmetries of Coincidence Site Lattices of Cubic Lattices Symmetries of Coincidence Site Lattices of Cubic Lattices

2006-05-18

arxiv.org/abs/math/0605525v1

Z. Kristallogr. 220 (2005), p. 915-925

Mathematics

Metric Geometry

15 pages, 1 figure, 2 tables

Scientific paper

We consider the symmetries of coincidence site lattices of 3-dimensional cubic lattices. This includes the discussion of the symmetry groups and the Bravais classes of the CSLs. We derive various criteria and necessary conditions for symmetry operations of CSLs. They are used to obtain a complete list of the symmetry groups and the Bravais classes of those CSLs that are generated by a rotation through the angle $\pi$.

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