Abstract

The weight distribution of products of equilibrium branched homopolycondensation according to the number of cyclic fragments of varying size which they contain has been determined on the basis of general thermodynamic principles. To do so recourse is had to the groundwork of the theory of branching random processes which interprets monocyclic molecules as particles of a special type and includes an assumption that the share of intramolecular reactions is small up to the gel point. Probability characteristics of the auxiliary branching process are expressed in terms of thermodynamic parameters of the system. A general algorithm whereby calculations of this type may be performed, within the framework of the same model for the polycondensation of any monomer mixture has been formulated. The application of this algorithm is demonstrated, taking the heteropolycondensation of two monomers of any functionality as an example.

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