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A simple formula for the temperature dependence of the relaxation frequency in glassy systems

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Abstract

A simple,five-parameter empirical formula for the temperature dependence of the relaxation frequency is presented. It is shown that this formula reduces to the Arrhenius equation at higher temperatures and to the Vogel-Fulcher-Tamman equation at lower temperatures. Apart from parameters which may be obtained independently from either equation the proposed formula contains an additional parameter describing the sharpness of the transition between the regions of validity of Arrhenius or Vogel-Fulcher-Tamman equation. The applicability of the formula is tested on dielectric relaxation data of acrylic polymers and on other dielectric data available in the literature. The physical meaning of individual parameters is discussed.

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Authors and Affiliations

  1. Department of Physics Faculty of Electrical Engineering and Informatics, Technical University of Brno, Areál VUT Pod Palackého vrehem Technická 8, 61600, Brno, Czech Republic

    Ing K. Liedermann (CSc.)

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  1. Ing K. Liedermann
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Liedermann, I.K. A simple formula for the temperature dependence of the relaxation frequency in glassy systems. Colloid Polym Sci 274, 20–26 (1996). https://doi.org/10.1007/BF00658905

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  • DOI: https://doi.org/10.1007/BF00658905

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