THEORY OF ABSORPTION LINE SHAPES IN MONATOMIC GASES. II. METHOD OF ' 'QUASI-MOMENTS,' '

Abstract

The Kronig-Kramers theorem leads to a relation between the coefficients in an asymptotic expan sion of the refractive index in the far wings of an absorption line and certain integral proper ties, called 'quasi-moments', of the absorption line. The quasi-moments, or Q-moments, are related to the ordinary moments when the latter exist, and can be qualitatively related to such commonly measured quantities as the half width. Since the asymptotic coefficients are relatively easy to evaluate, this leads to a simple way of getting theoretical predictions for some prop erties of the line shape. The method is applied to the theory of a preceding paper, and results are obtained which are in qualitative agreement with experimental linewidths. It is also pos sible to take into account the correction to the strong linearity assumption made previously. The correction leads to a narrowing of the line ('non-linear narrowing') which is in the right direction to remove the remaining discrepancy between theory and experiment. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0413810

Entities

People

  • C.alden Mead

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Absorption
  • Agreements
  • Coefficients
  • Integrals
  • Linearity
  • Mathematics
  • Refractive Index

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Mycotoxin ecology in Amazonian ecosystems.
  • Spectroscopy.