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Occupied and Accessible Volumes in Glassy Polymers and Their Relationship with Gas Permeation Parameters

✍ Scribed by Inga A. Ronova; Egor M. Rozhkov; Alexander Yu. Alentiev; Yurii P. Yampolskii


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
352 KB
Volume
12
Category
Article
ISSN
1022-1344

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✦ Synopsis


Abstract

In order to relate the microstructure of polymer chains to the gas permeation properties, a novel method is proposed for the calculation of the van der Waals (V~w~), occupied (V~occ~), and accessible (V~acc~) volumes of polymers, using polyimides as examples. In this approach, V~occ~ and V~acc~ values are obtained as characteristics of polymer–gas systems. Correlations between V~occ~ and the gas permeability (P) and diffusion (D) coefficients are demonstrated. Accessible volume, V~acc~, determined experimental densities, and V~occ~ calculated using a Monte Carlo technique, as well as the fractional accessible volume (FAV) (V~acc~/V~sp~), where V~sp~ is the specific volume of polymers, also correlate well with the P and D values. The slopes of these correlations increase with increasing molecular size of the diffusing molecules. In addition, the parameters of the equations for D(FAV) and P(FAV) strongly depend on conformation rigidity (Kuhn segment) of the polyimides. An interpretation of the results obtained is presented.

Definition of occupied volume.

imageDefinition of occupied volume.