Quantcast

The Coincidence Site Lattices in 2D Hexagonal Lattices Using Clifford Algebra

Research paper by M.A. Rodríguez-Andrade, G. Aragón-González, J.L. Aragón, A. Gómez-Rodríguez, D. Romeu

Indexed on: 24 Oct '14Published on: 24 Oct '14Published in: Advances in Applied Clifford Algebras



Abstract

The problem of characterizing the coincidence site lattices obtained by superimposing a planar hexagonal lattice with its rotated version is solved using simple reflections handled with Clifford algebras. For any possible coincidence rotation, analytical expressions for the coincidence index and for a basis of the coincidence site lattices are deduced.