By G. S. Ezra
The purpose of the current article is to provide a serious exposition of the idea of the symmetry houses of inflexible and nonrigid molecules. although numerous money owed of the topic, either technical and didactic, are actually on hand, and regardless of the huge dialogue of nonrigid molecule symmetry that has been occurring because the vintage papers of Hougen and Longuet-Higgins, there continues to be a necessity for a unifying survey of the matter. earlier remedies have tended to stress one or the opposite specific standpoint on the cost of a broader view. Renewed curiosity within the info of the symmetry category of rotation vibration states of hugely symmetric (octahedral) molecules has resulted in a reexam ination of the relation among traditional element crew operations and diversifications of exact nuclei in inflexible molecules, including a explanation of the elemental function of the Eckart constraints and linked Eckart body. As is proven less than, analogous insights can be acquired in relation to nonrigid molecule symmetry, the place the Eckart-Sayvetz stipulations supply a average generalization of the Eckart constraints. the significance of specific definitions of the 'molecule-fixed' body within the conception of molecular symmetry will be larger liked through interpreting their dynamical starting place. bankruptcy 1 is accordingly 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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