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Exact Solution for the Correlation Times of Dielectric Relaxation of a Single Axis Rotator with Two Equivalent Sites

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dc.creator Coffey, William T.
dc.creator Kalmykov, Yuri P.
dc.creator Massawe, Estomih S.
dc.creator Waldron, J. T.
dc.date 2016-06-26T17:12:24Z
dc.date 2016-06-26T17:12:24Z
dc.date 1993
dc.date.accessioned 2018-03-27T08:57:58Z
dc.date.available 2018-03-27T08:57:58Z
dc.identifier 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.
dc.identifier http://hdl.handle.net/20.500.11810/2706
dc.identifier 10.1063/1.466097
dc.identifier.uri http://hdl.handle.net/20.500.11810/2706
dc.description 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.
dc.language en
dc.title Exact Solution for the Correlation Times of Dielectric Relaxation of a Single Axis Rotator with Two Equivalent Sites
dc.type Journal Article, Peer Reviewed


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