Flory–Huggins solution theory
E562086
Flory–Huggins solution theory is a thermodynamic model that describes the mixing behavior and phase separation of polymer solutions by accounting for the size difference between polymer chains and solvent molecules.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
polymer solution theory
ⓘ
thermodynamic model ⓘ |
| accountsFor | size difference between polymer chains and solvent molecules ⓘ |
| appliedIn |
block copolymer self-assembly modeling
ⓘ
coating and adhesive formulation ⓘ membrane and hydrogel design ⓘ polymer blend design ⓘ |
| appliesTo |
polymer–polymer mixtures
ⓘ
polymer–solvent mixtures ⓘ |
| assumes |
coordination number for lattice sites
ⓘ
incompressible mixture ⓘ monomer segments occupy lattice sites ⓘ random mixing on a lattice ⓘ |
| basedOn | lattice model of solutions ⓘ |
| describes |
Gibbs free energy of mixing of polymer solutions
ⓘ
mixing behavior of polymer solutions ⓘ phase separation in polymer solutions ⓘ |
| developedBy |
Maurice L. Huggins
NERFINISHED
ⓘ
Paul J. Flory NERFINISHED ⓘ |
| developedInDecade | 1940s ⓘ |
| enthalpyTermDependsOn |
Flory–Huggins interaction parameter
NERFINISHED
ⓘ
contact energies between segments ⓘ |
| entropyTermDependsOn |
degree of polymerization
ⓘ
volume fraction of components ⓘ |
| extendedBy |
Flory–Huggins–de Gennes theories
NERFINISHED
ⓘ
compressible lattice models ⓘ concentration-dependent interaction parameter models ⓘ |
| field |
physical chemistry
ⓘ
polymer physics ⓘ thermodynamics ⓘ |
| includesTerm |
enthalpy of mixing
ⓘ
entropy of mixing ⓘ |
| influencedBy | regular solution theory ⓘ |
| introducesConcept | Flory–Huggins interaction parameter NERFINISHED ⓘ |
| limitation |
assumes uniform segment size
ⓘ
mean-field approximation ⓘ neglects specific interactions such as hydrogen bonding ⓘ |
| mathematicalForm | Gm/RT = φ1 ln φ1 + φ2 ln φ2 + χ φ1 φ2 for binary mixtures ⓘ |
| predicts |
lower entropy of mixing for polymers than for small molecules
ⓘ
phase separation when interaction parameter exceeds critical value ⓘ |
| symbolForInteractionParameter | χ ⓘ |
| usedFor |
constructing phase diagrams of polymer mixtures
ⓘ
estimating critical solution temperatures ⓘ estimating spinodal and binodal curves ⓘ modeling polymer blend compatibility ⓘ predicting miscibility of polymer solutions ⓘ |
| variable |
degree of polymerization N
ⓘ
volume fraction φ1 ⓘ volume fraction φ2 ⓘ |
Referenced by (1)
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