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Generalised Maxwell-Garnett equation: application to electrical and chemical transport

MPS-Authors
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Jamnik,  J.
Department Physical Chemistry of Solids (Joachim Maier), Max Planck Institute for Solid State Research, Max Planck Society;

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Kalnin,  J. R.
Department Physical Chemistry of Solids (Joachim Maier), Max Planck Institute for Solid State Research, Max Planck Society;

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Kotomin,  E. A.
Department Physical Chemistry of Solids (Joachim Maier), Max Planck Institute for Solid State Research, Max Planck Society;

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Maier,  J.
Department Physical Chemistry of Solids (Joachim Maier), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Jamnik, J., Kalnin, J. R., Kotomin, E. A., & Maier, J. (2006). Generalised Maxwell-Garnett equation: application to electrical and chemical transport. Physical Chemistry Chemical Physics, 8(11), 1310-1314.


Cite as: https://hdl.handle.net/21.11116/0000-000F-02DF-4
Abstract
In this paper we discuss the implementation of different equilibrium
concentrations in each of the phases into the Maxwell-Garnett effective
medium formula for diffusion in heterogeneous media. We put the
derivation given by Kalnin et al., J. Phys. Chem. Solids, 2002, 63,
449, on safer grounds and extend it to non-dilute carrier
concentrations. The relation to Maxwell's mixing rule is also
elaborated. It is shown that the formula can not only successfully be
applied to conductivity problems but also to describe steady state
chemical diffusion in heterogeneous media such as polycrystalline
samples. The comparison with the brick layer model corroborates these
points but also shows that-in the case of heterogeneous media-one has
to be cautious in applying steady state results to transient kinetics.