학술논문

VIBRONIC COUPLING. I. MATHEMATICAL TREATMENT FOR TWO ELECTRONIC STATES
Document Type
Journal Article
Author
Source
Journal of Chemical Physics (U.S.); Vol: 35; Other Information: Orig. Receipt Date: 31-DEC-61
Subject
PHYSICS COUPLING
DIFFERENTIAL EQUATIONS
ELECTRONS
ENERGY LEVELS
HAMILTONIAN
INTERACTIONS
MATHEMATICS
MOLECULES
PERTURBATION THEORY
QUANTUM MECHANICS
SELECTION RULES
SPECTRA
TRANSIENTS
VIBRATIONS
Language
English
ISSN
0021-9606
Abstract
A general mathematical treatment of vibronic coupling of two electronic states in molecules and dimers is presented. The 2 x 2 matrix Hamiltonian, which is derived, is shown to reduce to two one-dimensional Hamiltonians provided a certain minimum amount of symmetry is present. Some general selection rules governing electronic transitions to these states from the ground state are obtained, showing that the spectral distribution in hot bands may differ considerably from that in normal bands when vibronic coupling occurs. A special model which considers the coupling to arise from a single mode of vibration is presented. Two limiting cases which can be treated approximately by perturbation theory are considered in detail. These are shown to give rise to a pseudo Jahn- Teller effect and to vibrational borrowing in the two different limits. (auth)