Symmetry Properties of Molecules

  • G. S. Ezra

Part of the Lecture Notes in Chemistry book series (LNC, volume 28)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. G. S. Ezra
    Pages 1-35
  3. G. S. Ezra
    Pages 121-159
  4. G. S. Ezra
    Pages 160-164
  5. G. S. Ezra
    Pages 188-197
  6. Back Matter
    Pages 198-204

About this book


The aIm of the present article is to give a critical exposition of the theory of the symmetry properties of rigid and nonrigid molecules. Despite the fact that several accounts of the subject, both technical and didactic, are now available, and despite the extensive discussion of nonrigid molecule symmetry that has been going on since the classic papers of Hougen and Longuet-Higgins, there remains a need for a unifying survey of the problem. Previous treatments have tended to emphasize one or the other particular viewpoint at the expense of a broader view. Renewed interest in the details of the symmetry classification of rotation­ vibration states of highly symmetric (octahedral) molecules has led to a reexam­ ination of the relation between conventional point group operations and permutations of identical nuclei in rigid molecules, together with a clarification of the fundamental role of the Eckart constraints and associated Eckart frame. As is shown below, analogous insights can also be obtained in the case of nonrigid molecule symmetry, where the Eckart-Sayvetz conditions provide a natural generalization of the Eckart constraints. The importance of particular definitions of the 'molecule-fixed' frame in the theory of molecular symmetry can be better appreciated by examining their dynamical origin. Chapter 1 is therefore devoted to a description of the derivation of the usual Wilson-Howard-Watson form of the molecular Hamiltonian, together with its generalization to nonrigid molecules. Particular attention is given to the intro­ duction of molecular models and use of the Eckart and Eckart-Sayvetz constraints.


Molecules Molekül Properties Symmetrie Symmetry Vibration classification diatomic molecule dynamics energy molecule mutation paper point group structure

Authors and affiliations

  • G. S. Ezra
    • 1
  1. 1.Department of ChemistryThe University of ChicagoChicagoUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1982
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-11184-9
  • Online ISBN 978-3-642-93197-0
  • Series Print ISSN 0342-4901
  • Series Online ISSN 2192-6603
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