Polycondensation Kinetics: 4. Growth of Acyclic Randomly Branched Chains
| Autor: | A. S. Kotkin, I. P. Kim, V. A. Benderskii |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
010302 applied physics
Condensation polymer 010304 chemical physics Gaussian Kinetics 01 natural sciences symbols.namesake chemistry.chemical_compound Crystallography Reaction rate constant Monomer Distribution (mathematics) chemistry 0103 physical sciences Master equation symbols Physical and Theoretical Chemistry Stoichiometry |
| Zdroj: | High Energy Chemistry. 55:169-178 |
| ISSN: | 1608-3148 0018-1439 |
| Popis: | Master equations for concentrations of nb-mers (n is the number of units, b is the number of branch points randomly located among the units) in the polycondensation of trifunctional monomers (PC-3) take into account the set of irreversible consecutive–parallel reactions between functional groups (n, b) and (n′, b′)-mers with rate constants χ(b, b′). Stoichiometric coefficients are equal to the number of permutations of bond-forming groups at ∆(b + b′) = 0, 1, 2. Reaction coordinates are combined into a network of an inhomogeneous Markov process. It is shown that the Flory hypothesis (all χ(b, b′) values are identical) leads to an explicitly time-independent Gaussian distribution Wn(b) with a maximum bmax that grows linearly with the chain length n. |
| Databáze: | OpenAIRE |
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