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By G. S. Ezra

The purpose of the current article is to offer a serious exposition of the speculation of the symmetry houses of inflexible and nonrigid molecules. even though numerous money owed of the topic, either technical and didactic, at the moment are on hand, and regardless of the large dialogue of nonrigid molecule symmetry that has been happening because the vintage papers of Hougen and Longuet-Higgins, there is still a necessity for a unifying survey of the matter. prior remedies have tended to stress one or the opposite specific perspective on the price of a broader view. Renewed curiosity within the info of the symmetry category of rotation­ vibration states of hugely symmetric (octahedral) molecules has ended in a reexam­ ination of the relation among traditional element crew operations and diversifications of exact nuclei in inflexible molecules, including a rationalization of the basic position of the Eckart constraints and linked Eckart body. As is proven under, analogous insights is additionally acquired when it comes to nonrigid molecule symmetry, the place the Eckart-Sayvetz stipulations offer a typical generalization of the Eckart constraints. the significance of specific definitions of the 'molecule-fixed' body within the thought of molecular symmetry might be larger favored via reading their dynamical foundation. bankruptcy 1 is for that reason dedicated to an outline of the derivation of the standard Wilson-Howard-Watson kind of the molecular Hamiltonian, including its generalization to nonrigid molecules. specific recognition is given to the intro­ duction of molecular types and use of the Eckart and Eckart-Sayvetz constraints.

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