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研究了超支化高分子聚合反应过程总分子数的变化,给出接近反应终点时n-聚物浓度的渐近表达式,得到的多分散指数(polydispersity exponent)与经典结果一致．进一步给出数均、重均和z-均聚合度的渐近表达式,并得到反应接近终点时,多分散指标(polydispersity index)趋近于1的合理结果．
The change of the total number of molecules during the polymerization of hyperbranched polymers was studied. The asymptotic expression of n-polymer concentration near the end of the reaction was given. The polydispersity exponent obtained was consistent with the classical results. Further, the asymptotic expressions of number average, weight average and z-average degree of polymerization are given, and the reasonable result that the polydispersity index approaches 1 when the reaction approaches the end point is obtained.