Journal of Polymer Science Part B: Polymer Physics, Vol.33, No.10, 1505-1514, 1995
A Nuclear-Magnetic-Resonance Study of Toluene-Polyisobutylene Solutions .2. Vrentas-Duda Theory
The self-diffusion coefficients of toluene in polyisobutylene have been analyzed using the Vrentas-Duda free volume diffusion model. The diffusion coefficients were determined at different temperatures and concentrations, using the pulsed field gradient nuclear magnetic resonance technique. The data were satisfactorily described by the model and the size of the polymer jumping unit was extracted. Comparisons were made With the Fujita free volume theory and the Fujita free volume parameters were extracted from the Vrentas-Duda free Volume parameters. From the diffusion data that now available, it can be concluded that for most polymers the jumping unit is about 1.5 times the polymer monomer molecular weight. The activation energy of the toluene diffusion in polyisobutylene is compared with the activation energies of other penetrants in the same polymer. The diffusion data presented in this work show that the energy per mole required to overcome the attractive forces which constrain a diffusing species to its neighbors should be considered to be zero, in order to be able to extract the free volume parameters (from viscosity and diffusion data) with an acceptable uncertainty.
Keywords:POLYMER-SOLVENT SYSTEMS;FREE-VOLUME THEORIES;DIFFUSION-COEFFICIENTS;SELF-DIFFUSION;PREDICTIVE CAPABILITIES;TEMPERATURE;DEPENDENCE;SIZE