Dynamics of ions in liquid water: An interaction-site-model description

We present a molecular theory for investigating the dynamics of ions in pol ar liquids. The theory is based on the interaction-site model for molecular liquids and on the generalized Langevin equation combined with the mode-co upling theory. The velocity autocorrelation function, diffusion and frictio n coefficients of ions in water at 25 degrees C and at infinite dilution ar e studied. The theoretical results for the velocity autocorrelation functio ns exhibit a gradual change from oscillatory to monotonic decay as the ion size increases. The diffusion (friction) coefficients of ions in aqueous so lutions pass through a maximum (minimum) as a function of the ion size, wit h distinct curves and maxima (minima) for positive and negative ions. These trends are in complete accord with those of the molecular dynamics simulat ion results performed on the same system by Rasaiah and co-workers [J. Phys . Chem. B 102, 4193 (1998)]. It is worthwhile to mention that this is the f irst molecular theory that is capable of describing the difference in the d ynamics of positive and negative ions in aqueous solutions. A further analy sis of the friction coefficients of ions in water is presented in which the friction is decomposed into the "Stokes," dielectric and their cross terms . The Stokes and dielectric terms arise from the coupling of the ion dynami cs to essentially the acoustic dynamics of the solvent via the short-range interaction, and from the coupling to the optical mode of the solvent via t he long-range interaction. The most striking feature of our results is that the Stokes friction so defined does not increase monotonically with increa sing ion size, but decreases when ions are very small, implying a formation of a molecular "complex" comprising the ion and its nearest neighbor solve nt molecules. Interesting observations concerning the cross term are: (1) i ts magnitude is rather large for small ions and cannot be neglected at all, and (2) the cross term for small ions seems to cancel out the Stokes part, and consequently the total friction for small ions seems to be to a large extent determined by its dielectric component. (C) 1999 American Institute of Physics. [S0021-9606(99)51031-3].