Conversion Dependence of the z-Average Mean Square Radii of Gyration for Hyperbranched Polymers with Excluded Volume Effect

The concept of subchain for hyperbranched polymer systems is investigated. Taking AB f type polycondensation reaction as an example, the subchain number distribution is obtained explicitly. As a direct application of the subchain number distribution, the mean square radius of gyration is given, where the excluded volume effect is taken into consideration. Furthermore, the z -average mean square radius of gyration is evaluated as the function of the conversion of functional groups, in which the contribution of unreacted monomers in hyperbranched polymer systems is included and excluded, respectively.