Flory–Stockmayer theory of gelation
E562087
The Flory–Stockmayer theory of gelation is a foundational mathematical framework in polymer chemistry that predicts when a reacting system of multifunctional monomers will form an infinite, crosslinked network (a gel).
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
gelation theory
ⓘ
polymer chemistry theory ⓘ theoretical framework ⓘ |
| appliesTo |
crosslinking reactions in thermosetting resins
ⓘ
network formation in epoxy systems ⓘ network formation in phenolic resins ⓘ network formation in unsaturated polyesters ⓘ step‑growth polymerization of multifunctional monomers ⓘ |
| assumes |
equal reactivity of functional groups
ⓘ
no intramolecular cyclization ⓘ random distribution of crosslinks ⓘ |
| basedOn |
mean‑field approximation
ⓘ
random branching model ⓘ |
| describes |
critical conversion for gel formation
ⓘ
crosslinking of multifunctional monomers ⓘ formation of infinite polymer networks ⓘ gelation in step‑growth polymerization ⓘ molecular weight distribution near the gel point ⓘ percolation of polymer clusters ⓘ |
| field |
materials science
ⓘ
physical chemistry ⓘ polymer chemistry ⓘ |
| hasConcept |
branching coefficient
ⓘ
critical extent of reaction ⓘ functionality of monomers ⓘ gel fraction ⓘ |
| historicalPeriod | mid‑20th century ⓘ |
| influenced |
development of percolation models in materials
ⓘ
modern network polymer theory ⓘ statistical mechanics of polymers ⓘ |
| limitation |
assumption of equal reactivity of all functional groups
ⓘ
assumption of ideal random mixing ⓘ neglect of intramolecular cyclization ⓘ |
| namedAfter |
Paul Flory
NERFINISHED
ⓘ
Walter H. Stockmayer NERFINISHED ⓘ |
| predicts |
branching probabilities in polymer networks
ⓘ
conditions for formation of an infinite network ⓘ fraction of sol and gel phases ⓘ gel point conversion ⓘ |
| relatedTo |
branching processes
ⓘ
network polymers ⓘ percolation theory ⓘ thermoset polymers ⓘ vulcanization of rubber ⓘ |
| usedFor |
analysis of curing schedules for thermosets
ⓘ
design of crosslinked polymer networks ⓘ interpretation of rheological gel points ⓘ prediction of gelation in industrial polymerization ⓘ |
Referenced by (1)
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