SIMULTANEOUS ANALYSIS OF GROUND STATE COMBINATION DIFFERENCES OF AXIALLY SYMMETRIC $MOLECULES^{*}$
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Date
1963
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Ohio State University
Abstract
“In the absence of certain ``doublings’’ or resonances, the familiar ground state combination differences may be represented by the single expression \[ ^{\Delta K} (\Delta J_{1})_{k} (J - \Delta J_{1}) - ^{\delta K} (\Delta J_{2})_{K} (J - \Delta J_{2}) = \{B_{o} - D_{o}^{JK} K^{2} - D_{0}{^{j}}[2 J (J + 1)-\delta_{1} - \delta_{2}]\}(\delta_{1} - \delta_{2}) \] where $\delta_{j} = (2j + 1 - \delta J_{i})\Delta J_{j}, i = 1$ or 2; which encompasses all possible types of ground state combination differences (J is the J value of the common upper state, and both K and $\Delta K$ are the same for a given combination difference). The statistically most favorable values of $B_{0}, D_{0}^{JK}$ and $D_{0}{^{j}}$ may be obtained by performing a least squares analysis of All the available combination differences simultaneously, e.g. of the types R-Q. Q-P and R-P for many values of K and J. The application of this method to the analysis of parallel bands of $CH_{3} D$ and $CHD_{3}$ will be presented. “
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$^{*}$Supported by the National Science Foundation.
Author Institution: Department of Physics and Astronomy, Michigan state University
Author Institution: Department of Physics and Astronomy, Michigan state University