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高分子反应体系的回转半径是描述高分子空间构象的一个重要物理量.Gordon曾利用随机支化理论研究了A_a型非线性缩聚反应体系的回转半径,并给出了该体系的数均、重均和Z均回转半径的计算公式,但用这一理论很难处理多组分的非线性缩聚反应体系.本文利用唐敖庆等人的高分子固化理论,进一步研究A_(a_1),A_(a_2)-B_bC_c型非线性缩聚反应体系,给出了这种体系中高聚物的数均、重均和Z均回转半径的计算公式.A_(a_1),A_(a_2)-B_bC_c型缩聚反应是指体系由三种单体组成,Ⅰ单体有a_1个A基,Ⅱ单体有a_2个A基,Ⅲ单体有b个B基和c个C基,反应仅在A基和B基、A基和C基之间进行.该体系的k次矩和k次回转半径的定义如下:
The radius of gyration of macromolecule reaction system is an important physical quantity to describe the spatial conformation of macromolecule.Gordon once used random branching theory to study the radius of gyration of A_a nonlinear polycondensation reaction system and gave the number average and weight average And Z are the calculation of the radius of gyration, but this theory is difficult to deal with multi-component nonlinear polycondensation reaction system.In this paper, the use of polymer solidification theory Tang Ao Qing et al. Further study A_ (a_1), A_ (a_2) - B_bC_c nonlinear polycondensation reaction system, the calculation formula of the number average, the weight average and the Z rotation radius of the polymer in this system is given. Polycondensation reaction of A_ (a_1) and A_ (a_2) -B_bC_c means that the system consists of There are three kinds of monomers: a monomer has a_1 A group, Ⅱ monomer has a_2 A group, Ⅲ monomer has b B group and c C group, the reaction is only in A group and B group, A group and C basis between the k moment and k times the radius of rotation is defined as follows: