S. Zhu et al., MODELING OF CROSS-LINKING AND CYCLIZATION IN FREE-RADICAL COPOLYMERIZATION OF VINYL DIVINYL MONOMERS, Makromolekulare Chemie. Theory and simulations, 2(4), 1993, pp. 587-604
The Tobita-Hamielec kinetic model of the crosslink density distributio
n is further elaborated and extended to incorporate divinyl loop forma
tion. Divinyl loop formation, primary and secondary cyclization, and t
heir effects on the elastically effective crosslink density distributi
on are extensively examined as a function of cyclization parameters an
d double bond reactivities. Under conditions of equal double bond reac
tivity and negligible cyclization, primary chains born at different co
nversions have the same crosslink density. The variance of the crossli
nk density distribution is mainly due to unequal reactivities of doubl
e bonds and secondary cyclization. Divinyl loop formation and primary
cyclization contribute neither to gelation nor to network elasticity a
nd have an insignificant effect on the variance of the crosslink densi
ty distribution.