2003
DOI: 10.1002/mats.200350002
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Occupied and Accessible Volumes in Glassy Polymers and Their Relationship with Gas Permeation Parameters

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 (Vw), occupied (Vocc), and accessible (Vacc) volumes of polymers, using polyimides as examples. In this approach, Vocc and Vacc values are obtained as characteristics of polymer–gas systems. Correlations between Vocc and the gas permeability (P) and diffusion (D) coefficients are demonstrated. Accessible volume, Vacc, determined experimental densities, an… Show more

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Cited by 41 publications
(34 citation statements)
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“…The following values of matrix density were obtained: 0.854 ± 0.005 g/cm 3 (PE) and 1.289 ± 0.012 g/cm 3 (PI). These values are slightly lower than the experi mental magnitudes for polyethylene [41,42] and poly imides [43,44], because the constructed samples have purely amorphous structures. Note that the obtained density for polyethylene agrees well with the experimen tal value of the amorphous domains of the polyethylene matrix calculated by the extrapolation of a specific vol ume determined at high temperatures (243-350 K) [45] to the normal conditions.…”
Section: Resultscontrasting
confidence: 50%
“…The following values of matrix density were obtained: 0.854 ± 0.005 g/cm 3 (PE) and 1.289 ± 0.012 g/cm 3 (PI). These values are slightly lower than the experi mental magnitudes for polyethylene [41,42] and poly imides [43,44], because the constructed samples have purely amorphous structures. Note that the obtained density for polyethylene agrees well with the experimen tal value of the amorphous domains of the polyethylene matrix calculated by the extrapolation of a specific vol ume determined at high temperatures (243-350 K) [45] to the normal conditions.…”
Section: Resultscontrasting
confidence: 50%
“…The conditions (15)(16)(17) are checked now only for the points hitting the area Q 0 ijk , and so the speed of volume corrections computation increases signi¯cantly. As before, volume corrections are calculated by formula (13).…”
Section: A Combined Algorithm For Volume Corrections Calculationsmentioning
confidence: 99%
“…Decreases in the FFV have been modeled and correlated to decreases in gas permeability. [75,76,77,78] This phenomena has been observed with poly(trimethylsilylpropyne) (PTMSP), another high free volume polymer. [79] The fractional free volume in the polymer film can be indirectly monitored by measuring the bulk density of the film.…”
Section: Resultsmentioning
confidence: 91%