Line Groups in Physics: Theory and Applications to Nanotubes and Polymers

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This volume gives a detailed and up-to-date overview of the line groups, the groups that describe the symmetry of quasi-one dimensional crystals. Nanotubes, nanowires, nanosprings, nanorods, and polymers are examples remarkable enough to have kept nanoscience as a leading field within material science and solid state physics for more than fifteen years now. The authors present the mathematical foundations, including classifications of the line groups, quasi one-dimensional crystals and quantum numbers, together with important applications. Extensive illustrations related to the physics of nanotubes make the book essential reading in this field above all. The book clearly demonstrates how symmetry is a most profound property of nature and contains valuable results that are published here for the first time.

Author(s): Milan Damnjanović, Ivanka Milošsević (auth.)
Series: Lecture Notes in Physics 801
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010

Language: English
Pages: 200
Tags: Theoretical, Mathematical and Computational Physics;Nanotechnology;Polymer Sciences;Group Theory and Generalizations;Crystallography

Front Matter....Pages i-xiii
Introduction....Pages 1-5
Line Groups Structure....Pages 7-27
Symmetrical Compounds....Pages 29-46
Irreducible Representations....Pages 47-64
Tensors....Pages 65-84
Magnetic Line Groups....Pages 85-93
Vibrational Analysis....Pages 95-111
Applications....Pages 113-141
Nanotubes....Pages 143-169
Back Matter....Pages 172-194