화학공학소재연구정보센터
Journal of Polymer Science Part B: Polymer Physics, Vol.38, No.18, 2333-2341, 2000
Postgel properties in the statistical crosslinking of heterochains. I. Systems with N types of chains
The heterochain crosslinking model describes nonrandom crosslinking of polymer chains and is an extension of the classical Flory/Stockmayer gelation theory. We consider the postgelation relationship for the system consisting of N types of polymer chains, in which the probability that a crosslink point on an i-type chain is connected to a j-type chain is explicitly given by p(ij). The analytical solutions for the weight fraction of the sol, the number-average and weight-average molecular weights within the sol fraction, and the crosslinking density within the sol and gel fractions are derived for the systems, with each type of chain conforming to the Schulz-Zimm distribution. Illustrative calculations are shown for the systems consisting of two and three types of chains, and the obtained results agree with those from the Monte Carlo method.