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Flory-Stockmayer Theory
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Flory-Stockmayer Theory : ウィキペディア英語版
Flory-Stockmayer Theory

Flory-Stockmayer Theory is a theory governing the cross-linking and gelation of step-growth polymers:..〔Flory, P.J. (1941). "Molecular Size Distribution in Three Dimensional Polymers I. Gelation". ''J. Am. Chem. Soc.'' 63, 3083〕 The Flory-Stockmayer theory represents an advancement from the Carothers equation, allowing for the identification of the gel point for polymer synthesis not at stoichiometric balance.〔 The theory was initially conceptualized by Paul Flory in 1941〔 and then was further developed by Walter Stockmayer in 1944 to include cross-linking with an arbitrary initial size distribution.〔Stockmayer, Walter H.(1944). "Theory of Molecular Size Distribution and Gel Formation in Branched Polymers II. General Cross Linking". ''Journal of Chemical Physics.'' 12,4, 125〕
==History ==
Gelation occurs when a polymer forms large interconnected polymer molecules through cross-linking.〔 In other words, polymer chains are cross-linked with other polymer chains to form an infinitely large molecule, interspersed with smaller complex molecules, shifting the polymer from a liquid to a network solid or gel phase. The Carothers equation is an effective method for calculating the degree of polymerization for stoichiometrically balanced reactions.〔 However, the Carothers equation is limited to branched systems, describing the degree of polymerization only at the onset of cross-linking. The Flory-Stockmayer Theory allows for the prediction of when gelation occurs using percent conversion of initial monomer and is not confined to cases of stoichiometric balance. Additionally, the Flory-Stockmayer Theory can be used to predict whether gelation is possible through analyzing the limiting reagent of the step-growth polymerization.〔

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