THE ROTATIONAL AND VIBRATIONAL CONSTANTS UP THE $HCl^{33}$ AND $DCl^{33}$ $MOLECULES^{*}$
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Date
1961
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Publisher
Ohio State University
Abstract
The 1--0, 2--0, 3--0, 4--0 and 5--0 bands of $HCl^{35}$ and the 1--0 and 2--0 bands of $DCl^{35}$ have been measured with high precision. A critical analysis has been made to determine the rotational and vibrational constants of these molecules. It is necessary to use a polynomial in m of the sixth degree to satisfactorily represent the frequencies of the band lines in the case of the most precisely measured bands. $B_{0}$ for $HCl^{35}$ has been found to have a value of $10.440254 \pm 0.000010$ $cm^{-1}. B_{0}$ for $DCl^{35}$ was found to be $5.392261\pm 0.000010$ $cm^{-1}$. When the $B_{11}$ obtained for $DCl^{36}$ is combined with the microwave measurement of $B_{0}$ by Cowan and Gordy the value obtained for the velocity of light $C = 299.793.1\pm 0.65$ km/sec. The observed rotational and vibrational constants $(Y_{ij})$ have been used to calculate the potential constants of $HCl^{36}$ making use of Dunham’s theory of a rotation vibrator. It is shown that $HCl^{35}$ is not a pure rotating vibrator since that observed and calculated values of $Y_{02}\sim D$ are in disagreement by about 1 part in 1000 which is approximately 10 times the experimental error. Making use of the molecular constants for $HCl^{36}$ AND $DCl^{35}$ and the accurately known atomic masses it is deduced that the ground level $B_{0}$ is perturbed by the upper electronic levels by 1 part in 8000. The sign of The perturbation is in increase $B_{0}$ over its unperturbed value. The sign of the perturbation is such that it may be presumed the HCl molecule has a positive magnitude moment. It was calculated $\mu_{j}= + 0.2$ and + 0.1 nuclear magnetons respectively for $HCl^{32}$ and $DCl^{35}$.
Description
$^{*}$ This research was assisted by support from the Office of Naval Research and the National Science Foundation.
Author Institution: Department of Physics, The Pennsylvania State University
Author Institution: Department of Physics, The Pennsylvania State University