SECOND-ORDER QUADRUPOLE COUPLING IN 2-BROMOPROPANE AND ETHYL BROMIDE.
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Date
1965
Journal Title
Journal ISSN
Volume Title
Publisher
Ohio State University
Abstract
A computer program has been written to evaluate the second-order perturbation sums which occur in the calculation of quadrupole hyperfine splittings in pure rotational spectra. The program is suitable for molecules of arbitrary asymmetry containing a single nucleus of spin greater than 1/2 Application has been made to the microwave spectra of 2-bromopropane and ethyl bromide. In 2-bromopropane deviations of frequency separations of hyperfine components from first-order predictions were of the order of several tenths of a megacycle---not large enough to allow determination of the off-diagonal quadrupole coupling constant, but large enough to affect the determination of rotational constants. The inclusion of second-order terms reduced the mean deviation between fifty-eight calculated and observed frequency differences averaging 9.30 Mc/sec from 0.254 to 0.059 Mc/sec. Furthermore the mean difference between calculated and observed hypothetical unsplit frequencies for seven transitions was reduced from 0.16 to 0.06 Mc/sec, and the derived values of the rotational constants were significantly altered. The computer program was also used to perform complete second-order quadrupole calculations for an analysis of the microwave frequencies reported for ten isotopic species by Flanagan and $Pierce.^{1}$ Only slightly different values were obtained for the off-diagonal quadruple coupling constants determined by Flanagan and Pierce by means of a partial second-order analysis. How-ever, it was found that the discrepancies previously $noted^{1}$ in the hyperfine splittings in $CH_{3}CD_{2}^{79}$Br and $CH_{3}CD_{2}^{81}$Br were the result of a third-order perturbation effect.
Description
Supported by a grant from the Petroleum Research Fund of the American Chemical Society. $^{1}$ C. Flanagan and L. Pierce, J. Chem. Phys. 38, 2963 (1963).
Author Institution: Department of Chemistry, Michigan State University
Author Institution: Department of Chemistry, Michigan State University