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An Extended Flory Distribution for Kinetically Controlled Step‐Growth Polymerizations Perturbed by Intramolecular Reactions
Author(s) -
Proppe Jonny
Publication year - 2015
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.201400101
Subject(s) - molar mass , intramolecular force , work (physics) , thermodynamics , transformation (genetics) , chemistry , distribution (mathematics) , probabilistic logic , statistical physics , polymer , mathematics , physics , organic chemistry , mathematical analysis , statistics , biochemistry , gene
This work reconsiders a refined Flory model designed to approximately describe molar‐mass distributions obtained from irreversible step‐growth polymerizations of α , ω ‐heterodifunctional molecules with competing cyclization. By comparing to both quantitative analytical and accurate numerical solutions, we show that the refined Flory model is a reasonable approximation that allows for an intuitive understanding of the chemical system discussed. Building upon this insight, we present a recursive transformation of the refined Flory model by probabilistic means resulting in Szymanski's quantitative description of molar‐mass distributions.