THE ROTATION-TRANSLATION-COUPLING EFFECT IN NOBLE-GAS CRYSTALS CONTAINING MOLECULAR IMPURITIES,

Abstract

A generalized perturbation theory was developed valid in the case where the perturbation can no longer be considered as small relative to the separation between successive unperturbed energy levels. This is applied to the problem of coupling between the rotational and translational motions of a molecule trapped in a spherically symmetric cell. A representation which is diagonal with respect to the total angular momentum and parity operators has been used, taking advantage of the rotation-inversion symmetry presented by the cell model. It has been found possible to obtain closed expressions for the perturbed energy levels valid in the case of near resonance between rotational and translational frequencies. General expressions for the intensity of rotation-translation transitions have also been derived. A quantitative discussion is given of the effect of finite line width on the position of maxima of 'hot' lines. The theory is applied to the interpretation of the spectra of hydrogen halides trapped in noble-gas crystals. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0663440

Entities

People

  • H. Friedmann
  • S. Kimel

Organizations

  • Weizmann Institute of Science

Tags

DTIC Thesaurus Topics

  • Angular Momentum
  • Couplings
  • Energy Levels
  • Frequency
  • Momentum
  • Noble Gases
  • Perturbation Theory
  • Perturbations
  • Rotation
  • Total Angular Momentum
  • Translations

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Molecular Photonics/Laser Physics
  • Plasma Physics / Magnetohydrodynamics