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

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...

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Bibliographic Details
Published in:Advances in applied Clifford algebras 2015-06, Vol.25 (2), p.425-440
Main Authors: Rodríguez-Andrade, M.A., Aragón-González, G., Aragón, J.L., Gómez-Rodríguez, A., Romeu, D.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical
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Summary: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.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-014-0508-7