Translational correlation time, charges

An early application of this type of analysis was to decompose Pio/v( ) into its rotational, translational and their cross-correlation subspectra. It was shown through this decomposition that electrostatic solvation spectra for dipole and charge perturbations are dominated by rotational dynamics. More generally, it was shown how the range and symmetry of AP and molecular properties such as masses and moments of inertia are related to the relative contributions of rotational and translational degrees of freedom to SD. INM analysis has also proved useful in comparing the molecular mechaitisms contributing to short-time dynamics observed in different experiments,such as SD, optical Kerr ef-... 

Here at = [ciqf/kT], a and qt are, respectively, the concentration and charge of species i (anions and cations). Vi 0)Vi(t)) and AFf(t)) are, respectively, the velocity correlation function (VCF) and mean-squared displacement in time of species i. The steady current behavior at long times in the step-on experiment (see above) means that ABf t)) becomes linearly dependent on time, giving the Nernst-Einstein equation that connects the low-/" conductivity cr (O) (=diffusion coefficients A for the translational motions of the ions (9,10) ... 

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