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

M. A. Rodríguez-Andrade; G. Aragón-González; J. L. Aragón; A. Gómez-Rodríguez; D. Romeu

doi:10.1007/s00006-014-0508-7

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

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

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	425-440
Number of pages	16
Journal	Advances in Applied Clifford Algebras
Volume	25
Issue number	2
DOIs	https://doi.org/10.1007/s00006-014-0508-7
State	Published - 24 Oct 2015

Keywords

Clifford Algebra
Coincidence Site Lattices
Crystallography
Simple Reflections

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title = "The Coincidence Site Lattices in 2D Hexagonal Lattices Using Clifford Algebra",

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.",

keywords = "Clifford Algebra, Coincidence Site Lattices, Crystallography, Simple Reflections",

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AU - Rodríguez-Andrade, M. A.

AU - Aragón-González, G.

AU - Aragón, J. L.

AU - Gómez-Rodríguez, A.

AU - Romeu, D.

PY - 2015/10/24

Y1 - 2015/10/24

N2 - 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.

AB - 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.

KW - Clifford Algebra

KW - Coincidence Site Lattices

KW - Crystallography

KW - Simple Reflections

UR - http://www.scopus.com/inward/record.url?scp=84929957291&partnerID=8YFLogxK

U2 - 10.1007/s00006-014-0508-7

DO - 10.1007/s00006-014-0508-7

M3 - Artículo

SN - 0188-7009

VL - 25

SP - 425

EP - 440

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 2

ER -

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

Abstract

Keywords

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