# Accession Number:

## AD0691281

# Title:

## AN ATTEMPT AT AN ANALYSIS OF THE ALGEBRAIC STRUCTURE OF VIBRATIONAL-ROTATIONAL INTERACTIONS IN MOLECULES.

# Descriptive Note:

## Final rept. 1 Feb 67-30 Apr 69,

# Corporate Author:

## PROVIDENCE COLL R I DEPT OF PHYSICS

# Personal Author(s):

# Report Date:

## 1969-04-01

# Pagination or Media Count:

## 95.0

# Abstract:

In recent years, the theory of vibrational-rotationalv-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

# Descriptors:

# Subject Categories:

- Atomic and Molecular Physics and Spectroscopy