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dc.creatorKrohn, B. J.en_US
dc.creatorWatson, J. K. G.en_US
dc.date.accessioned2006-06-15T18:08:02Z
dc.date.available2006-06-15T18:08:02Z
dc.date.issued1988en_US
dc.identifier1988-ME-10en_US
dc.identifier.urihttp://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.descriptionAuthor Institution: University of California, Los Alamos National Laboratory; Herzberg Institute of Astrophysics, National Research Council of Canadaen_US
dc.description.abstractObserved 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 $S<unclear>F_{\ast}$ are examined to test the accuracy, reliability, and convergence of perturbation theory.en_US
dc.format.extent177416 bytes
dc.format.mimetypeimage/jpeg
dc.language.isoEnglishen_US
dc.publisherOhio State Universityen_US
dc.titlePERTURBATIONS OF THE DOMINANT APPROXIMATION IN SPHERICAL-TOP MOLECULESen_US
dc.typearticleen_US


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