Exact Solution for the Correlation Times of Dielectric Relaxation of a Single Axis Rotator with Two Equivalent Sites
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Date
1993
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Abstract
It is shown how exact formulas for the longitudinal and transverse dielectric correlation times
and complex polar&ability tensor, of a single axis rotator with two equivalent sites may be
found. This is accomplished by writing the Laplace transforms of the dipole autocorrelation
functions as three term recurrence relations and solving them in terms of continued fractions.
The solution of these recurrence relations, in the zero frequency limit, yields the correlation
times in terms of modified Bessel functions of the first kind. The previous result of Lauritzen and
Zwanzig for the longitudinal relaxation time, based on an asymptotic expansion of the SturmLiouville
equation, is regained in the limit of high potential barriers.
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Citation
Coffey, W.T., Kalmykov, Y.P., Massawe, E.S. and Waldron, J.T., 1993. Exact solution for the correlation times of dielectric relaxation of a single axis rotator with two equivalent sites. The Journal of chemical physics, 99(5), pp.4011-4023.