6533b836fe1ef96bd12a1196

RESEARCH PRODUCT

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Rafael GavaraAgustín CamposRoberto TejeroBernardo CeldaClara M. Gómez

subject

chemistry.chemical_classificationPhysics::Biological PhysicsQuantitative Biology::BiomoleculesTernary numeral systemChemistryPolymerFlory–Huggins solution theoryGibbs free energyCondensed Matter::Soft Condensed MatterSolventsymbols.namesakePolymer chemistrysymbolsBinary systemPhysics::Chemical PhysicsSolvent effectsTernary operation

description

The unperturbed dimensions parameter KΘ is one of the most important characteristics of a polymer chain. For binary systems (polymer/solvent) and mostly for ternary systems (polymer/solvent(1)/solvent(2)) the KΘ values show large discrepancies with respect to those under thetaconditions in a single solvent. These discrepancies can be explained by considering that the interaction parameter χ (and consequently the coil dimensions or the number of intramolecular contacts between polymer segments) changes with molecular weight M. Assuming this dependency, a modified Stockmayer-Fixman equation is proposed from which a unique value of KΘ for a given polymer, independent of M, is obtained. The use for ternary polymer systems of an interaction parameter between polymer and the solvent mixture (χ3M) which depends on M, allows to calculate a single KΘ value for a polymer in different mixtures of solvents and justifies the proportionality found between KΘ deviations and the excess Gibbs free energy between both solvents of the solvent mixture.

https://doi.org/10.1002/macp.1988.021890719