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

被引：3
|
作者：
Rodriguez-Andrade, M. A. [1 ,2 ]
Aragon-Gonzalez, G. [3 ]
Aragon, J. L. [4 ]
Gomez-Rodriguez, A. [5 ]
Romeu, D. [5 ]
机构：
[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Matemat Educ, Mexico City 07360, DF, Mexico
[2] Inst Politecn Nacl, Dept Matemat, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Mexico City 07300, DF, Mexico
[3] Univ Autonoma Metropolitana Azcapotzalco, Programa Desarrollo Profes Automatizac, Mexico City 02200, DF, Mexico
[4] Univ Nacl Autonoma Mexico, Ctr Fis Aplicada & Tecnol Avanzada, Queretaro 76000, Mexico
[5] Univ Nacl Autonoma Mexico, Dept Mat Condensada, Inst Fis, Mexico City 04510, DF, Mexico
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2015年 / 25卷 / 02期
关键词：
Clifford Algebra; Crystallography; Coincidence Site Lattices; Simple Reflections; SYMMETRY; GRAPHENE;
D O I：
10.1007/s00006-014-0508-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：425 / 440
页数：16
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