On physical property tensors invariant under line groups

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The form of physical property tensors of a quasi-one-dimensional material such as a nanotube or a polymer can be determined from the point group of its symmetry group, one of an infinite number of line groups. Such forms are calculated using a method based on the use of trigonometric summations. With this method, it is shown that materials invariant under infinite subsets of line groups have physical property tensors of the same form. For line group types of a family of line groups characterized by an index n and a physical property tensor of rank m, the form of the tensor for all line group types indexed with n > m is the same, leaving only a finite number of tensor forms to be determined.

Original languageEnglish (US)
Pages (from-to)138-142
Number of pages5
JournalActa Crystallographica Section A: Foundations and Advances
Volume70
Issue number2
DOIs
StatePublished - Jan 1 2014

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Tensors
Physical properties
physical properties
tensors
Nanotubes
Polymers
Point groups
Crystal symmetry
lines (geometry)
set theory
nanotubes
polymers
symmetry

All Science Journal Classification (ASJC) codes

  • Structural Biology
  • Biochemistry
  • Materials Science(all)
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry
  • Inorganic Chemistry

Cite this

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On physical property tensors invariant under line groups. / Litvin, Daniel Bernard.

In: Acta Crystallographica Section A: Foundations and Advances, Vol. 70, No. 2, 01.01.2014, p. 138-142.

Research output: Contribution to journalArticle

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