Journal
JOURNAL OF NON-CRYSTALLINE SOLIDS
Volume 453, Issue -, Pages 59-65Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jnoncrysol.2016.09.025
Keywords
Tool-Narayanaswamy-Moynihan (TNM) equation; Adam-Gibbs theory; Vogel-Tammann-Fulcher (VTF) equation; Fragility/fragilities
Funding
- National Science Foundation under CREST program (NSF-HRD) [14435163]
- Direct For Education and Human Resources
- Division Of Human Resource Development [1345163] Funding Source: National Science Foundation
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Hodge's formulization of the Tool-Narayanaswamy-Moynihan (TNM) equation from the Adam-Gibbs (AG) theory was re-evaluated. The non-linearity parameter (x) and the apparent activation energy (Delta h*) of the TMN equation were re-derived. Compared with the original derivations, the revised values of x and Delta h* were better correlated with experimental results. Of particular importance, the revised theoretical x correctly predicts the experimental trend of x for the cooling rate of polystyrene, whereas the original derivation predicted an opposite trend. Furthermore, the new derivation establishes a strong relationship between the fragility coefficient (m) and the x of a material. The relationship correlates well with the experimental values for a wide range of materials. Ultimately, the revised equations for x and Delta h* more precisely reveal the theoretical foundation of the phenomenological TNM equation, as it relates to structural relaxation of polymeric materials. (C) 2016 Elsevier B.V. All rights reserved.
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