Numerical comparison of usual Arrhenius-like equations for modeling ionic transport in solids

Reference Presenter Authors
08-161 Rafael Bianchini Nuernberg Nuernberg, R.B.(Universidade Federal de São Carlos); The primary objective of this work is to draw attention to the numerical differences between Arrhenius-like equations used for modeling ionic conductivity in solids. The used methodology comprises a comparison between the two most used Arrhenius-like equations by generating data applying one equation and fitting them by using the other equation. Data are generated in different conditions by varying input parameters such as the size of the temperature range and the average temperature of this range, as well as the pre-exponential term and activation energy of the Arrhenius-like equation. Fitting procedure is performed by plotting the generated data based on the linearized form of those equations followed by linear fitting. The results show a significative difference between activation energy value of those equations which is mainly dependent on the average temperature of the range. In contrast with the widely held perception that differences in the activation energy of both equations usually can be neglected, this work reveals that relative differences between activation energy of these equations are usually significant. These relative differences are often around 10% and may reach over 15% depending on a combination of intrinsic and extrinsic input parameters such as low activation energy and high-temperature of measurement, respectively.
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