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Evaluation of the heat capacity of amorphous polymers composed of a carbon backbone below their glass transition temperature

Polymer Journal volume 52, pages 765–774 (2020)Cite this article

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Abstract

Despite being a useful variable for the quantitative analysis of the thermodynamic properties of polymers, the absolute value of heat capacity remains poorly understood for amorphous polymers. This study evaluates the absolute values of the heat capacities of amorphous polymers by using the Tarasov and Einstein equations to calculate the frequencies of the skeletal and group vibration modes, respectively. Moreover, the difference between the heat capacity measured at constant pressure and that obtained at constant volume is added as a correction factor when estimating the heat capacity. The heat capacity that contributes to skeletal vibrations can be expressed using the one- and three-dimensional Tarasov equations, and the contribution of group vibrations can be determined by substituting the absorption frequency obtained from infrared absorption measurements into the frequency value of the Einstein equation. Only three fitting parameters were used to reproduce the absolute value of the heat capacity obtained from the combination of these equations. We used this approach to reproduce the heat capacities of 16 main chain-type amorphous polymers having a carbon backbone. The reproduced and experimental heat capacities of all the samples below their glass transition temperature agreed within less than ±2.5%.

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Acknowledgements

The authors would like to thank Enago (www.enago.jp) for reviewing the English language.

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  1. Graduate School of Engineering, Chiba Institute of Technology, 2-1-1 Shibazono, Narashino, Chiba, 275-0023, Japan

    Marika Yokota, Kaito Sugane, Itaru Tsukushi & Mitsuhiro Shibata

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  1. Marika Yokota
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Correspondence to Itaru Tsukushi.

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Yokota, M., Sugane, K., Tsukushi, I. et al. Evaluation of the heat capacity of amorphous polymers composed of a carbon backbone below their glass transition temperature. Polym J 52, 765–774 (2020). https://doi.org/10.1038/s41428-020-0317-x

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