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Lecture Notes in Chemistry

Symmetry Properties of Molecules

Authors: Ezra, G. S.

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About this Textbook

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $99.00
price for USA in USD
  • ISBN 978-3-642-93197-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.00
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Symmetry Properties of Molecules
Authors
Series Title
Lecture Notes in Chemistry
Series Volume
28
Copyright
1982
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-93197-0
DOI
10.1007/978-3-642-93197-0
Softcover ISBN
978-3-540-11184-9
Series ISSN
0342-4901
Edition Number
1
Number of Pages
VIII, 202
Topics