On physical property tensors invariant under line groups

Daniel B. Litvin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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
Issue number2
StatePublished - Mar 2014

All Science Journal Classification (ASJC) codes

  • Structural Biology
  • Biochemistry
  • General Materials Science
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry
  • Inorganic Chemistry


Dive into the research topics of 'On physical property tensors invariant under line groups'. Together they form a unique fingerprint.

Cite this