MODIFIED EXPRESSION FOR INTEGRATED BAND STRENGTH OF SPHERICAL TOP $MOLECULE^{*}$
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Date
1981
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Ohio State University
Abstract
The theoretical expression which relates the total strength of a vibration-rotation band of a tetrahedral or octahedral molecule to an appropriate transition electric-dipole moment has been re-examined $previously.^{1}$ A corrected form of the transition moment for a given fundamental band is $<\mu _{1 f} >^{2} = < \mu _{0 1} >^{2} (2J_{f} + 1) (1 + C_{m})^{2}$ where $m = -J_{f}-1, 0, J_{f}$ for P-, Q-, and R-branch transitions, respectively. The correction factor Cm presumably arises from Coriolis mixing with vibrational transition moments of other bands. In the present work, the effect of this factor on the relation between the integrated band strength $S_{01} and <\mu _{0}1>$ will be considered. Application will be made to tunable diode laser measurements of line strengths in the $v_{4}$ band of $^{12}CH_{4}.{^{2}}$
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$^{*}$Research supported by the Planetary Atmospheres Program of the National Aeronautics and Space Administration. $^{1}$ K. Fox and W. B. Person, J. Chem. Phys. 64, 5218 (1976). $^{2}$ K. Fox, M. J. Reisfeld, and R. S. McDowell, J. Chem. Phys. 71, 1058 (1979) and work in progress.
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