6533b828fe1ef96bd12881ab

RESEARCH PRODUCT

Calculation of phase diagrams not requiring the derivatives of the Gibbs energy demonstrated for a mixture of two homopolymers with the corresponding copolymer

Roland Horst

subject

BinodalQuantitative Biology::BiomoleculesSpinodalPolymers and PlasticsChemistryOrganic ChemistryThermodynamicsCondensed Matter PhysicsCritical point (mathematics)Gibbs free energyCondensed Matter::Soft Condensed MatterInorganic Chemistrysymbols.namesakeMaterials ChemistrysymbolsCopolymerTernary operationMixing (physics)Phase diagram

description

A method is presented which allows the calculation of phase diagrams (spinodal, binodal and tie lines) on the basis of the Gibbs energy of mixing ΔG. No derivatives of ΔG with respect to the composition variables are required. This method is particularly useful in cases where the composition dependence of ΔG is very complex and no analytical representation of the derivatives can be given. The method is applied to a ternary mixture of two homopolymers with a copolymer consisting of the same monomers. The sequence distribution of the copolymer is kept constant between random and purely alternating, and phase diagrams are calculated for different chemical compositions of the copolymer. The complex phase separation behavior resulting for a 1 : 1 copolymer becomes much simpler as one monomeric unit starts to predominate in the copolymer.

https://doi.org/10.1002/mats.1995.040040304