Editing Flory-Huggins theory
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where <math>\chi</math> is the dimensionless Flory-Huggins binary interaction parameter (similar to the [[Johannis Jacobus van Laar |van Laar]] [[heat of mixing]] <ref>[http://www.dwc.knaw.nl/DL/publications/PU00013947.pdf J. J. van Laar "On the latent heat of mixing for associating solvents", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''7''' pp. 174-177 (1905)]</ref>), which can be expressed as (Eq. 21 of Chapter XII): | where <math>\chi</math> is the dimensionless Flory-Huggins binary interaction parameter (similar to the [[Johannis Jacobus van Laar |van Laar]] [[heat of mixing]] <ref>[http://www.dwc.knaw.nl/DL/publications/PU00013947.pdf J. J. van Laar "On the latent heat of mixing for associating solvents", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''7''' pp. 174-177 (1905)]</ref>), which can be expressed as (Eq. 21 of Chapter XII): | ||
:<math>\chi = \frac{z\Delta w_{ | :<math>\chi = \frac{z\Delta w_{12}}{RT}</math> | ||
where <math>z</math> is the coordination number and (Eq. 17 of Chapter XII) | where <math>z</math> is the coordination number and (Eq. 17 of Chapter XII) | ||
:<math>\Delta w_{ | :<math>\Delta w_{12} = w_{12} - \frac{(w_{11}+w_{22})}{2} </math> | ||
where <math>w_{ | where <math>w_{ij}</math> is the net energy associated with two neighbouring lattice sites of the different | ||
polymer segments for the same type or for the different types of polymer chains. Although the theory considers <math>\chi</math> as a fixed parameter, experimental data reveal that actually <math>\chi</math> depends on such quantities as temperature, concentration, [[pressure]], molar mass, molar mass distribution. From a theoretical point of view it may also depend on model parameters as the coordination number of the lattice and segment length. | polymer segments for the same type or for the different types of polymer chains. Although the theory considers <math>\chi</math> as a fixed parameter, experimental data reveal that actually <math>\chi</math> depends on such quantities as temperature, concentration, [[pressure]], molar mass, molar mass distribution. From a theoretical point of view it may also depend on model parameters as the coordination number of the lattice and segment length. | ||