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Synopsis
1. Introduction.- 2. Line Group Structure.- 3. Symmetrical Compounds.- 4. Irreducible Representations.- 5. Tensors.- 6. Magnetic Line Groups.- 7. Vibrational Analysis.- 8. Applications.- 9. Nanotubes.- A. Koster-Seitz Notation.- B. Rod Groups.- C. Elements of the Number Theory.- D. Construction of the Representations.- E. Generalizations of the Line Groups.- F. Modified Group Projector Technique.
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From the Back Cover
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.
About the Author
Milan M. Damnjanovic
Date of birth: 7 Septemer 1953
Citizenship: Serbia
Ivanka P. Milosevic
Date of birth: 28 December 1962
Citizenship: Serbia
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