AN ATTEMPT AT AN ANALYSIS OF THE ALGEBRAIC STRUCTURE OF VIBRATIONAL-ROTATIONAL INTERACTIONS IN MOLECULES.
Abstract
In recent years, the theory of vibrational-rotational(v-r) interactions in polyatomic molecules has reached a formidable degree of complexity, in particular, in derivations of terms of sixth power in the angular momentum. In an attempt to simplify these derivations, and to extend them to terms of eighth and tenth power in the angular momentum, we have developed an algebraic procedure following closely the conventional treatment of v-r interactions in diatomic molecules. The minimum of an energy function representing the v-r energy of the rotating molecule is chosen as the origin of a new coordinate system. A 'Minimization Theorem' simplifies substantially the algebraic procedures. The derivation of general results is straightforward but only a systematic analysis of the algebraic structure of the results obtained makes their application to particular molecular models feasible. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1969
- Accession Number
- AD0691281
Entities
People
- Edwin K. Gora
Organizations
- Providence College