Theoretical derivation of the isothermal transient ionic current in an ion conductor : Migration, diffusion, and space-charge effects

• The Green’s function technique was used to determine the isothermal transient ionic current (ITIC) caused by the application of a constant potential across an ion conductor which initially contained the ions under consideration. The analysis included migration, diffusion, and space-charge effects as contributions to the ionic motion. Furthermore, the relative importance of diffusion and space-charge effects as currentlimiters was investigated. It was found that ion concentrations as low as ∼1016–1017 cm−3 are sufficient to make space-charge effects the dominant contribution to the decay of the ITIC at low applied electric fields(∼104 V/cm). Hence such effects should be taken into consideration when the ITIC method is used to determine conduction parameters.

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