Abstract
A generalized theoretical model of hyperbranched polymerization of an AB f monomer is derived. The model is a classical mean-field one based on the Smoluchowski coagulation equation. The monomer functional groups B react according to the first shell substitution effect principle. It is shown that irrespectively of the monomer functionality (f), the number average molecular weight of hyperbranched polymers depend on conversion of A groups in exactly the same way. Also the degree of branching, a parameter describing perfectness of polymer structure changes very slightly with increasing functionality of the monomer.
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