Abstract: In this paper the properties of the Family of Logarithmic Distribution (FLD) were investigated by both computation and theoretical analysis from the viewpoint of statistical theory. It proved that although the members in FLD had different parameters with different physical meanings and different expressions, they actually represented the same distribution, i.e. the same results could be derived from these distribution functions. In addition, the parameter r_n was a function of the parameter n, but σ_n² not.

Key words: colloidal catalysis, chemical kinetics, computer simulation, grain size distribution