Flory stockmayer equation
WebAccording to Flory1, the criterion for gelation of a stoichiometric mixture containing branching units of functionality fis given by αc= 1 / (f- 1) Thus for f= 3, an infinite network … WebMar 27, 2013 · The Flory-Stockmayer theory for the polycondensation of branched polymers, modified for finite systems beyond the gel point, is applied to the connection (synapses) of neurons, which can be considered highly branched “monomeric” units. Initially, the process is a linear growth and tree-like …
Flory stockmayer equation
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WebFlory–Stockmayer theory is a theory governing the cross-linking and gelation of step-growth polymers. The Flory-Stockmayer theory represents an advancement from the … WebStockmayer s equation As in so many things in this field, if you want to work through the arguments yourself, you cannot do better than go to Flory— see Principles of Polymer Chemistry, Chapter EX.Stockmayer s equation illustrates the point we wish to make with dazzling simplicity as f the number of branches, increases, the polydispersity decreases.
WebThe 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. [1] The theory was initially conceptualized by Paul Flory in 1941 [1] and then was further developed by Walter Stockmayer in 1944 to include cross-linking with ... WebJacobson and Stockmayer 1 and later Flory 5 calculated that the maximum weight fraction (ρ w) of rings formed in a polycondensation at 100% conversion (p = 1) will amount to …
WebFlory–Stockmayer theory is a theory governing the cross-linking and gelation of step-growth polymers. The Flory-Stockmayer theory represents an advancement from the … Webequation as a model for the growth of an antigen-antibody aggregate. The models themselves are coupled infinite systems of ordinary dif ferential equations (in the discrete case) or a single integro-differential equation (in the continuous case). In this note I reconsider the classi cal Smoluchowski-Flory-Stockmayer discrete equations and ...
WebFlory–Stockmayer theory is a theory governing the cross-linking and gelation of step-growth polymers. The Flory-Stockmayer theory represents an advancement from the …
WebJacobson and Stockmayer 1 and later Flory 5 calculated that the maximum weight fraction (ρ w) of rings formed in a polycondensation at 100% conversion (p = 1) will amount to approximately 4% for “a 2 + b 2 ” monomers and around 8% for “a−b” monomers (the probability of cyclization is twice as high “for a−b” monomers, because ... himalayan salt bath detoxWebAccording to Flory-Stockmayer Theory, we set up our model to describe the relation of P c and f A, f B. As our reactive system only contains 2 kinds of monomers, i.e., the … himalayan salt aromatherapy oil diffuser lampWebJul 22, 2024 · Going Beyond the Carothers, Flory and Stockmayer Equation by Including Cyclization Reactions and Mobility Constraints Polymers (Basel). 2024 Jul 22;13 (15):2410. ... Flory and Stockmayer, assuming constant reactivities and ignoring intramolecular reactions, is very approximate, and the use of asymptotic limits is biased. … himalayan salt benefits dailyWebJan 1, 2001 · While the reason why the Flory-Stockmayer model ignores cyclization is to simplify analysis, it can also be interpreted based on classical kinetic theory. In a bulk … himalayan salt benefits spiritualWebExperimental stoichiometric gelation boundaries of a set of branched thiol to acrylate Michael addition polymerization systems were investigated, and the observed limits were compared to theoretical critical molar ratio (CMR) intervals. These CMR intervals were calculated via the Flory–Stockmayer equation (for the upper limit) and via a formula … himalayan salt bowl oil diffuserWebDec 29, 2004 · The status of the gel point equation, advanced by Flory, Stockmayer, and Walling for polyfunctional reactions, is briefly discussed. Two complicating factors in the chain polymerization of divinyl compounds, to which this equation has been applied, are reviewed: the admixture of a monovinyl compound of comparable reactivity, and the … himalayan salt better than table saltWebequation as a model for the growth of an antigen-antibody aggregate. The models themselves are coupled infinite systems of ordinary dif ferential equations (in the … himalayan salt block benefits