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Line Groups in Physics

Theory and Applications to Nanotubes and Polymers

  • Book
  • © 2010

Overview

Authors:
  1. Milan Damnjanović

    1. University of Belgrade Fac. Physics, Beograd, Serbia

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    You can also search for this author in PubMed   Google Scholar

  2. Ivanka Milošsević

    1. University of Belgrade Fac. Physics, Beograd, Serbia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • First book explicitly devoted to Line Groups
  • Detailed and up-to-date presentation
  • Draws attention to useful techniques
  • Will aid progress in theoretical understanding
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 801)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Milan Damnjanović, Ivanka Milošsević
    Pages 1-5

  3. Line Groups Structure

    • Milan Damnjanović, Ivanka Milošsević
    Pages 7-27

  4. Symmetrical Compounds

    • Milan Damnjanović, Ivanka Milošsević
    Pages 29-46

  5. Irreducible Representations

    • Milan Damnjanović, Ivanka Milošsević
    Pages 47-64

  6. Tensors

    • Milan Damnjanović, Ivanka Milošsević
    Pages 65-84

  7. Magnetic Line Groups

    • Milan Damnjanović, Ivanka Milošsević
    Pages 85-93

  8. Vibrational Analysis

    • Milan Damnjanović, Ivanka Milošsević
    Pages 95-111

  9. Applications

    • Milan Damnjanović, Ivanka Milošsević
    Pages 113-141

  10. Nanotubes

    • Milan Damnjanović, Ivanka Milošsević
    Pages 143-169

  11. Back Matter

    Pages 172-194
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Keywords

About this book

Over last decades low-dimensional materials are in focus of physics and chemistry as well as of material and other natural sciences. Like Vitaly Ginzburg has foreseen 30 years ago, low dimensionality offers physical phenomena and properties unseen in three-dimensional world. To see how thin ?lms and monomolecular layers realize such a prediction it suf?ces only to observe intensity of research devoted to recently synthesized graphene. Still, quasi-one-dimensional compounds are over long period established as the origin of the most important and most interesting discoveries of material science and solid state physics. To mention only deoxyribonucleic acid, the most important molecule in nature, and diversity of nanotubes and nanowires, the cornerstones of the present and future nanotechnology. Line groups, describing symmetry of quasi-one-dimensional materials, offer the deepest insight to their characteristic properties. Underlying many of the laws, they are very useful, but far from simple. This book is intended to explain them, their properties, and their most common applications. In particular, it is important to understand that the line groups are much wider class of symmetries than the well-known rod groups. While the latter describe only translationally periodical objects, line groups include symmetries of incommensurate periodical structures.

Reviews

From the reviews:

“The key words ‘line groups’ in the monograph’s title point to the coverage of the study, by group theoretical methods, of the symmetry of quasi-one-dimensional physical systems, the structure of which shows two distinct features … . In view of the huge rise of interest during the last decade in the investigation of such low-dimensional finite ‘nano’-systems … the monograph under review is a timely publication. … Well-done illustrative color figures help the reader to assimilate the arid evidence collected in the tables.” (Gh. Adam, Mathematical Reviews, Issue 2011 f)

Authors and Affiliations

  • University of Belgrade Fac. Physics, Beograd, Serbia

    Milan Damnjanović, Ivanka Milošsević

About the authors

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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