dc.creator Krohn, B. J. en_US dc.creator Watson, J. K. G. en_US dc.date.accessioned 2006-06-15T18:08:02Z dc.date.available 2006-06-15T18:08:02Z dc.date.issued 1988 en_US dc.identifier 1988-ME-10 en_US dc.identifier.uri http://hdl.handle.net/1811/17476 dc.description $^{1}$ B. J. Krohn and J. K. G. Watson, J. Mol. Spectrosc., in press (1988). $^{2}$ J. Moret-Bailly. J. Mol. Spectrosc. 15. 344-354 (1965). $^{3}$ I. Ozier. J. Mol. Spectrosc. 53 336-345 (1974). $^{4}$ A. J. Dorney and J. K. G. Watson. J. Mol. Spectrosc. 42. 135-148 (1972). $^{5}$ C. W. Patterson and W. G. Harter J. Chem. Phys. 66. 4886-4892 (1977). en_US dc.description Author Institution: University of California, Los Alamos National Laboratory; Herzberg Institute of Astrophysics, National Research Council of Canada en_US dc.description.abstract Observed systematic shifts of individual rotational lines within the fine-structure J-manifolds of fundamental bands have prompted a detailed analysis of tensor interactions between sublevels in the $(v=1,J)$ excited $state.^{1}$ Perturbation theory through third order yields algebraic expressions for transition wavenumbers. These formulas give wavenumbers in terms of diagonal tensor functions (the $F^{\ast}-$ and $F^{\ast}-$ coefficients of $Moret-Bailly^{2}$ and the $\tilde{E}$-coefficients of $Ozier^{3}$) and rational functions of J and R. In most cases the accuracy is sufficient to fit diode spectra, and diagonalization of large matrices is thereby avoided. Properties of clustered tensor functions lead to a qualitative description of the shifted lines. Expansions of these functions in terms of cluster quantum numbers $(R.X)^{4,5}$ have been developed to give order-of-magnitude comparisons of contributions to the wavenumber shifts. Fits of the formulas to the $\nu_{3}$ and $\nu_{4}$ spectra of $SF_{\ast}$ are examined to test the accuracy, reliability, and convergence of perturbation theory. en_US dc.format.extent 177416 bytes dc.format.mimetype image/jpeg dc.language.iso English en_US dc.publisher Ohio State University en_US dc.title PERTURBATIONS OF THE DOMINANT APPROXIMATION IN SPHERICAL-TOP MOLECULES en_US dc.type article en_US
﻿