Abstract

A matrix formulation of copolymerization statistics for binary systems presented earlier is modified and generalized to include multicomponent monomeric systems. The results are applied to condensation copolymerizations for which a kinetic description is also developed. This approach serves to systematize rather diverse results for linear condensation polymerizations. A particularly simple form for the distribution statistics of copolymeric systems in thermodynamic equilibrium is obtained. The steady-state approximation, which affords a matrix representation for the distribution of radical chains, is employed to provide a description of the distribution of stable copolymeric species formed by two types of termination processes. A generalization is presented for a binary copolymeric system with a chain memory which includes the penultimate unit. A modification of the present analysis is suggested which may be applicable to the treatment of the configurational sequences in stereoregular homopolymerizations where the statistics of the analogous copolymerizations are not Markoffian.

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