The Applications of Clifford Algebras to Crystallography Using Mathematica

A. Gómez, J. L. Aragón, O. Caballero and F. Dávila
Additional contact information
A. Gómez: Universidad Nacional Autónoma de México, Instituto de Física
J. L. Aragón: Universidad Nacional Autónoma de México, Instituto de Física
O. Caballero: Universidad Nacional Autónoma de México, Instituto de Física
F. Dávila: Escuela Superior de Física y Matemáticas-I.P.N., Departamento de Matematicas

A chapter in Clifford Algebras with Numeric and Symbolic Computations, 1996, pp 251-266 from Springer

Abstract: Abstract The discovery of materials such as incommensurate structures and quasicrystals makes necessary to extend crystallography to more than three dimensions. In this work, we explore the use of Clifford algebras to describe n-dimensional lattices. This point of view allows to phrase the geometrical crystallography in a concise language valid in any dimension. Applications to the problems of faceting and phason degrees of freedom in quasicrystals are presented and solved using a Mathematica package which is also presented in the work.

Keywords: Clifford algebras; crystallography; quasicrystals; computer algebra (search for similar items in EconPapers)
Date: 1996
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-8157-4_17

Ordering information: This item can be ordered from
http://www.springer.com/9781461581574

DOI: 10.1007/978-1-4615-8157-4_17

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().