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- W2989746871 abstract "Abstract Based on the analytical solution for the bivariate distribution N ( n,k ) of the degree of polymerization n and the number of dendritic units k , it is shown that the batch step‐growth polymerization of AB 2 ‐type monomer leads to form random hyperbranched architecture, irrespective of the magnitude of reactivity ratio r that represents the reactivity of the second B group. The bivariate distribution function enables one to obtain various useful analytic relationships for the hyperbranched architecture. The degree of branching at large n limit, DB n → ∞ , is an important property to represent the branched polymer system, rather than the average DB of the whole reaction mixture. For the case with r = 1, the value of DB n → ∞ is always 0.5, and is unchanged at any stage of batch polymerization. On the other hand, DB n → ∞ changes with the progress of polymerization for r ≠ 1, but the change is not very significant for the high conversion region. The degree of branching at large k limit, DB k → ∞ , is always larger than DB n → ∞ , but the relationship DB k → ∞ = DB n → ∞ holds at 100% conversion." @default.
- W2989746871 created "2019-12-05" @default.
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- W2989746871 date "2019-11-29" @default.
- W2989746871 modified "2023-10-17" @default.
- W2989746871 title "Bivariate Distribution and Related Analytical Solutions for Batch Step‐Growth Polymerization of AB <sub>2</sub> ‐Type Monomer" @default.
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- W2989746871 doi "https://doi.org/10.1002/mats.201900049" @default.
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