2002/12/14 by Bernhard A. Wolf, Bernhard Wolf, Wolf, Bernhard A.
Chemistry · Engineering · Materials Science · Physics and Astronomy · #Adsorption, diffusion, and thermodynamic properties of materials #Advanced Physical and Chemical Molecular Interactions #Chemical and Physical Properties of Materials #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Phase Equilibria and Thermodynamics #Scientific Research and Discoveries #Soft Condensed Matter (cond-mat.soft) #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0212340
14 pages
arxiv created 2002/12/14 · openalex publication_date 2002/12/14 · arxiv updated 2009/11/30 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
In part I of this contribution we have reported how the Flory-Huggins\ninteraction parameter chi can be modeled as a function of chain length within\nthe composition range of pair interaction between the macromolecules by means\nof the three parameters alpha, zeta and lambda. This contribution presents the\nextension of the approach to arbitrary volume fractions of the polymer and its\napplication to published data. The resulting equation is simple and requires\nonly the additional parameter ny to incorporate the composition dependence. Its\nemployment to experimental data is very much facilitated by substituting for\nthe limiting value of chi at infinite dilution. Furthermore the expression can\nin good approximation be simplified such that only two parameters need to be\nadjusted. This relation is capable of describing all types of composition\ndependencies reported in the literature, including the hitherto\nincomprehensible occurrence of pronounced minima. For a given system the\nevaluation of the chain length dependence of chi at high dilution reported in\npart I, and the present evaluation of the composition dependence of chi yield\nthe same values for the conformational response zeta. Similarly both types of\nmeasurements generate the same interdependence between zeta and alpha. The\nphysical meaning of the different parameters and the reason for the observed\ncorrelations are discussed.\n