RESEARCH DIRECTED TOWARDS THE STUDY OF FAR INFRARED ABSORPTION CONTOURS.

Abstract

Research was directed towards the formulation and extension of mathematical and theoretical methods suitable to calculate frequencies, intensities, and shapes of far-infrared lines, in particular, of asymmetric rotor molecules. A previously formulated asymptotic method applicable to high J-low K asymmetric rotor levels was extended to angular momentum expectation values of higher order. A minimization procedure previously used in the theory of diatomic molecules was adapted to nonlinear triatomic molecules, and employed to derive formulas for centrifugal distorsion corrections of higher order in the angular momentum operators. A semi-classical treatment of vibrational anharmonic perturbations was formulated to supplement the minimization procedure. The development of these methods and procedures had been motivated by an analysis of SO2-absorption contours - line shape studies led to a phenomenological treatment describing simultaneously the transition from interruption to statistical broadening, and from Van Vleck-Weisskopf to Lorentzian broadening. Consideration of the 'duration of collisions' proved essential in this formulation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1967
Accession Number
AD0660610

Entities

People

  • Edwin K. Gora

Organizations

  • Providence College

Tags

DTIC Thesaurus Topics

  • Absorption
  • Angular Momentum
  • Diatomic Molecules
  • Frequency
  • Intensity
  • Molecules
  • Momentum
  • Perturbations
  • Physical Properties
  • Transitions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Molecular Photonics/Laser Physics
  • Spectroscopy.