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A theory of drop-wise addition polymerization is developed. Because of the linear increase of the reaction volume V, the system gives rise to a new type of distribution function for cyclic species that can be expressed by the sum of two terms: the conventional distribution term and a extra term due to the dilution effect. The present result is an extension of the conventional homogeneous polymerization that corresponds to a special case without the extra term. Making use of the result we derive the gel point formula for this unique polymerization. The theoretical result is compared with recent observed data. [ABSTRACT FROM AUTHOR]

The preceding theory of gelation is extended to the multilink system of the R-Ag+R-Bf-g model, where the branching process proceeds forming junction points each comprising of J/2 A FU's and J/2 B FU's. We show that there exists a neat solution of the ring concentration for this generalized system; the mathematics is identical with the previous finding, but the expression is greatly simplified. Making use of this result together with the random distribution assumption of cyclic bonds, we derive the closed expression of the gel point for this new gelling system which is expected to have wider application. [ABSTRACT FROM AUTHOR]