Short-time polymerization and convolution kinetics in the analysis of the initiation step of isoprene polymerization over neodymium catalyst

Abstract

The paper considers a convolution model for polymerization of 1,3-dienes in the presence of organometallic catalysts. It is shown that initial steps of polymerization can be represented as a set of shifted parallel reactions of the chain propagation, in which shift value are governed by the kinetics of the initiation step. In this case, polymer accumulation curve is described by an equation containing convolution of functions which allow one to solve an inverse problem of restoring the function of active site accumulation. Based on the example of isoprene polymerization over neodymium catalyst, it was demonstrated that the results of the inverse problem solution are in good agreement with the experimental data on concentration of the active sites. These data were obtained by a method of controlled introduction of inhibitor in short-time polymerization.