The rate at which the mean charge on aerosol particles relaxes to its steady-state; value under bipolar charging is characterized by the neutralization rate constant, beta (s(-1)). It is an important parameter for fixing the nt product in charge neutralizers as well as in the theory of charging-induced diffusion. Here we compute the neutralization coefficient, beta/n (where n is the mean ion density), as a function of particle size through the use of ion-particle combination coefficients provided by the recent theories. The results indicate that beta/n decreases from a continuum limit value of 3.1 x 10(-6) cm(3) s(-1), to a free molecular limit value of 1.4 x 10(-6) cm(3) s(?)(-1). The changeover occurs rapidly in the transitional regime (10-100 nm). This clearly indicates that the nt product required to attain steady state is higher for nano particles than for larger ones. The paper also presents the variations of the mean square variance of charge, the coefficients of charging-induced drift and diffusion, as a function of particle size.