Symmetry Properties of Molecules Contributor(s): Ezra, G. S. (Author) |
|
ISBN: 3540111840 ISBN-13: 9783540111849 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: January 1982 |
Additional Information |
BISAC Categories: - Science | Chemistry - Physical & Theoretical - Science | Chemistry - Organic |
Dewey: 541.22 |
Series: Lecture Notes in Chemistry |
Physical Information: 0.46" H x 6.69" W x 9.61" (0.77 lbs) 202 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |