Estimation of monomer reactivity ratios in free-radical solution copolymerization of lauryl methacrylate-isobutyl methacrylate

Abstract

Copolymers of isobutyl methacrylate (i-BMA) and lauryl methacrylate (LMA) were prepared by free-radical solution copolymerizations at 70°C with azobi-sisobutyronitrile (AIBN) as an initiator. The synthesis of these copolymers was investigated over a wide composition range both at low and high conversion levels. Copolymer compositions were determined from the %C, %H, and %O contents of copolymer by elemental analysis. Monomer reactivity ratios were estimated by analyzing composition data with nonlinear least-squares (NLLS) models based on Marquardt optimization and van Herk methods. The point estimates, 95% individual confidence intervals and 95% joint confidence intervals are obtained from differential and integral approaches. Even though no explicit integral form for penultimate unit model (PUM) is available, a numerical approach is developed for integral estimation of reactivity ratios from PUM. A simulator program was developed which upon coupling of experimental data, NLLS analysis, and D-optimal criteria calculates the best optimized values of monomer reactivity ratios and monomer feed compositions in a sequential and iterative order for terminal and penultimate unit models. Moreover, the simulator has the capabilities to calculate all features of van Herk method, maximum compositional drift in each monomer feed composition, and data reconciliation.