“…The Smoluchowski equation was solved for free-molecular collisions of monomers and clusters, similar to those described by Rao and McMurry. 12 An effective algorithm for solving the coagulation equation has been reported earlier by Dubtsov et al 9,10,13 In the present study, this model was modified to account for the influence of t 1 (time gap between the end of irradiation and the moment of particles detection) and diffusion losses of monomer and clusters on the walls of the reactor and pipelines. Similarly to Rao and McMurry, 12 Under these conditions, the dynamics of the particle concentration is described by the following equations where F(t) ) F ) constant at t e t 0 , F(t) ) 0 at t 0 e t e t 0 + t 1 (no monomer formation during t 1 ), ij is the collision constant for clusters, consisting of i and j monomers, N k is the concentration of clusters, consisting of k monomers, t 0 is the irradiation time, and t 1 is the retention time.…”