A model for the specific heat of amorphous polymers

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Abstract

A model is presented that characterizes the temperature dependence of the specific heat of amorphous polymers. The model utilizes a density of vibrational states given by ρ(ω)∝ωd̃-1, where d̃ is the fracton, or spectral, dimension. This density of vibrational states, when introduced into the standard Debye model, leads to a specific heat temperature dependence of the form C(T)∝(T/⊖) , where ⊖ is a characteristic temperature. This model fits the data well for the temperature region ∼4 to ∼40 K. A key feature of the model is the prediction of a crossover of the polymer scaling properties that causes a crossover from T2 to T 5/3 of the specific heat temperature dependence. In addition, this model allows a simple estimate of the specific heat for a wide range of polymers using only the formula weight.

Original languageEnglish
Pages (from-to)4680-4683
Number of pages4
JournalJournal of Chemical Physics
Volume84
Issue number8
Publication statusPublished - 1986

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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