Combining the FH entropy of mixing and the standard RS enthalpy of mixing yields the FH solution theory for polymers: ∆G N = Bφ1φ2 + RT (φ1 lnφ1 + φ2 N lnφ2). As written above, this equation is comparable to the free energy of mixing from the Regular Solution Model. Notice that the expressions differ in two ways: first, FH is cast in volume fractions rather than mole fractions, and second, FH i...

Recent progress in modelling the solvent vapor annealing of thin film block copolymers is examined in the context of a self-consistent field theory framework. Key control variables in determining the final microdomain morphologies include swelling ratio or swollen film solvent volume fraction, swollen film thickness, substrate and vapor atmosphere surface energies, effective volume fraction, an...

A new theoretical model based on the local composition concept (TNRF-mNRTL model) was proposed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. This contribution of interaction along with the long-range contribution of interaction (Pitzer-Debye-Hückel equation), configurational entropy of mixing (Flory-Huggins relation)...

A thermodynamic model of quaternary polymeric solution was developed for membrane formation. It incorporates two mixed solventsN-methyl-2-pyrrolidone (NMP) and tetrahydrofuran (THF), and two high molecular weight polymers cellulose acetate (CA) and polyvinyl chloride (PVC). Also, another polymeric solution was modeled by replacing (CA) with polyvinylpyrrolidone (PVP). The developed model depend...

In Cultivating Positive Youth Development through Latin American Street Soccer Programming the order of authorship was incorrect in metadata. Order is Caroline M. Petrilla, Diana Matteson, Dorienne J. Silva, Seamus Mannion and, Stacy L. Huggins.

Permanently crosslinked polyelectrolyte gels are known to undergo discontinuous first-order volume phase transitions, the onset of which may be caused by a number of factors. In this study we examine the volumetric properties of such polyelectrolyte gels in relation to the progressive substitution of monovalent counterions by divalent counterions as the gels are equilibrated in solvents of diff...

A polymer network can absorb a solvent and swell, forming an elastomeric gel. The model of ideal elastomeric gels is based on two assumptions. First, the volume of a gel is the sum of the volume of the dry network and that of the solvent. Second, the free energy of the gel is the sum of the free energy due to stretching the network and that due to mixing the polymer and the solvent. These assum...

This chapter summarizes the thermodynamics of multicomponent polymer systems, with special emphasis on polymer blends and mixtures. After a brief introduction of the relevant thermodynamic principles – laws of thermodynamics, definitions, and interrelations of thermodynamic variables and potentials – selected theories of liquid and polymer mixtures are provided: Specifically, both lattice theor...