Time-correlation functions for restricted rotational diffusion

Abstract

The dynamical model of rotational diffusion of rod·shaped molecules in a conical volume is applied to the calculation of time autocorrelation functions of 1st and 2nd order spherical harmonic functions of the rod's orientation angles. Numerical results are obtained for the various correlation functions as a function of the polar angle 8 0 within which the molecule's axis is confined. Applications to dielectric relaxation, dynamic light scattering, and fluorescence depolarization experiments are pointed out. n where ~II' (J.L), usually called associated the Legendre func-

Self‐Assembly and Dynamics of Polypeptides

“…The external field affects the rapidly moving polymer vector,ũ, which drags the slowly moving tube vectorñ through the coupling potential. This model has similarities with the model proposed by Wang and Pecora [53] for the restricted rotational diffusion of a rod-like molecule within a cone of angle u. Despite these successes in understanding the dynamics of peptide a-helices, theoretical and experimental results exist that favor the flexibility of PBLG in solution [54][55][56][57] and in the bulk.…”

An EPR study of the interfacial properties of phosphatidylcholine vesicles with different lipid chain lengths

“…There is no doubt that the nitroxide which is attached to the hydrocarbon chain by the C-O bond, Scheme 1, can rotate quite freely in all directions, even about the perpendicular axis, so Eq. (9) can be applied [31]. On the other side, sterol analogue spin probes such as cholestane spinlabel (CSL) and androstane spin-label (ASL), whose motion in the membrane can be treated as Brownian rotational diffusion of a rigid rod within the confines of a cone, give rise to a rigid limit spectrum [32,33].…”

Steady state and time-resolved fluorescence spectroscopy of quinine sulfate dication in ionic and neutral micelles: Effect of micellar charge on photophysics

“…Another common interpretation for the biexponential decay invokes hindered rotational motions of the probe molecule and the micelle. The probe solubilized in the micelles follows a bi exponential behavior as suggested by two step and wobbling in cone model [42][43][44][45]. The amplitude of the wobble component determines how much the fluorophore rotates in the conical volume and the associated time component corresponds to the rate that the fluorophore samples different configurations within the cone.…”