THE LINESHAPE OF POWER BROADENED MICROWAVE TRANSITIONS: A REANALYSIS OF THE LINESHAPES OF TRANSITIONS IN $^{15}NH_{3}$ and $^{15}NH_{3} +H_{2}$ $MIXTURES^{*}$
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Date
1980
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Ohio State University
Abstract
A new steady-state lineshape function has been derived for collision-broadened transitions between spatially degenerate levels under conditions of partial saturation by an applied plane-polarized microwave fields. The new function, which is in the form of a continued fraction, is a steady-state solutions of the equations obtained after spherical tensor transformation of the usual equations (J.M basis) for the time development of the density matrix for a two-level system with spatial M degeneracy. Derivation of the new equation was motivated by a comparison of $qT_{1}$/$T_{2}$ $values^{1}$ obtained by reanalysis of data taken at several sample pressures for transitions in pure $^{15}NH_{3}$ and in dilute mixtures of $^{15}NH_{3}$ in $H_{2}$. The values of qT/$_{1}$/$T_{2}$ showed a considerably greater pressure dependence than previously obtained $(T_{1}/T_{2})_{0}$ $values,^{2}$ and the reasons for and implications of this difference will be discussed in terms of the new lineshape function.
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$^{*}$This work was supported by the National Science Foundation. $^{1}$R. H. Schwendeman and T. Amano, J. Chem. Phys. 70, 762 (1979). $^{2}$T. Amano and R. H. Schwendeman, J. Chem. Phys. 65, 5133 (1976).
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