Flory stockmayer theory
Flory–Stockmayer theory is a theory governing the cross-linking and gelation of step-growth polymers. 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 … See more 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, … See more In creating the Flory-Stockmayer Theory, Flory made three assumptions that affect the accuracy of this model. These assumptions were: See more The Flory-Stockmayer Theory predicts the gel point for the system consisting of three types of monomer units linear units with two A-groups (concentration See more WebOct 1, 2012 · where the Flory–Stockmayer theory (so-called the classi cal or mean-field theory) gives β = γ = 1, indep endent of the dimensionality d , while the percolation studies based on computer ...
Flory stockmayer theory
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WebThe genius of the Flory theory lies in the assumption that we can consider a real polymer chain as composed of two components: an ideal chain (entropic contribution) and … WebDefinition of a gel. Gels are three-dimensional networks made up of molecules, polymers, particles, colloids, etc., that are connected with each other by the specific parts on them such as functional groups and associative groups. The connected parts are called cross-links. Gels usually contain many solvent molecules inside their networks, and ...
WebThe static theories of equilibrium gelation (percolation theory) and vulcanization (Flory-Stockmayer theory) are well known. But many of the interesting experiments on polymer sols and gels concern dynamics (e.g., viscoelasticity), which are less universal and more difficult to describe theoretically than static properties.The dynamical response of a … WebJan 1, 2001 · This theory is now widely regarded as the Flory-Stockmayer model. There have been many gelation theories proposed. They can be classified as the "classical …
Gelation is promoted by gelling agents. Gelation can occur either by physical linking or by chemical crosslinking. While the physical gels involve physical bonds, chemical gelation involves covalent bonds. The first quantitative theories of chemical gelation were formulated in the 1940s by Flory and Stockmayer. Critical percolation theory was successfully applied to gelation in 1970s. A number of growth models (diffusion limited aggregation, cluster-cluster aggregation, kinetic ge… WebAug 21, 2024 · It is well known that free radical (co)polymerization of multivinyl monomers (MVMs) leads to insoluble gels even at a low monomer conversion, and the gelation point can be predicted by Flory–Stockmayer theory (F–S theory) based on two assumptions: (1) equal reactivity of all vinyl groups and (2) the absence of intramolecular cyclization. …
WebThe Flory–Stockmayer theory was the first theory investigating percolation processes. The history of the percolation model as we know it has its root in the coal industry. Since the industrial revolution, the economical importance of this source of energy fostered many scientific studies to understand its composition and optimize its use.
WebJun 9, 2024 · Understanding the gelation phenomenon was first introduced by Flory and Stockmayer [23,24] on a special lattice called Bethe lattice on which the closed loops were ignored. pool plumbing parts \u0026 fittingsWebNational Center for Biotechnology Information sharecrop synonymWebOct 1, 2024 · Here, we study the gelation kinetics of alginate chainscrosslinked by AAD, in the presence of the coupling reagents EDC and NHS. We use the rate equation of the reaction to calculate the extent of reaction, and use the Flory–Stockmayer theory to calculate the gelation time. The model predicts the gelation time as a function of the ... sharecrop systemWebMar 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 branching between dendrites and axons of … poolpod wheelchairWebAtom transfer radical polymerization (ATRP) of methyl acrylate (MA) and ethylene glycol diacrylate (EGDA) provided a series of poly(MA-co-EGDA) branched and cross-linked copolymers using various initial molar ratios of cross-linker to initiator.In agreement with the Flory−Stockmayer theory, the gelation occurred when the concentration of reacted … share crop rentWebFlory–Stockmayer theory is a theory governing the cross-linking and gelation of step-growth polymers. The Flory-Stockmayer theory represents an advancement from the … pool plumbing services near meWebJan 10, 2024 · The Flory-Stockmayer theory represents an advancement from the Carothers equation, allowing for the identification of the gel point for polymer synthesis … pool plumbing leak repair