Quantitative Evaluation of the Gibbs-Dimarzio Theory of the Glass Transition for Polystyrene
The applicability of the Gibbs-DiMarzio (G-DM) theory of the glass transition (Tg) is quantitatively evaluated for polystyrene (PS). The analysis was conducted under the assumption that both the inter- intramolecular energy ratio (r) and the effective chain segment density (n) remain constant while the fractional free volume at Tg(Vo) varies as a function of the reciprocal degree of polymerization (103/P). Based upon reduced parametric plots of Tg/Tg∞ versus 103/P, the results showed that the G-DM equations were satisfactory for PS; when 0.015 ≦ Vo ≦ 0.045, optimum agreement occurred at n = 1.80, r = 1.05.
KeywordsGlass Transition Scatter Diagram Individual Data Point Fractional Free Volume Statistical Analysis Technique
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