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By Maurice H. Francombe, John L. Vossen
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Extra resources for Physics of Thin Films: Advances in Research and Development
Sample text
Here we estimated £r for the outer part of the film by assuming that er for the inner part is the same as for films formed in dilute sulfuric acid. Three explanations, at least, are possible on present models of ionic conduction for this correlation between ionic conductance and permittivity which has been noted for oxides of different metals and for films formed in different electrolytes on the one metal. First, we have the notion of some kind of effective field which will tend to be proportional to D rather than E.
First, we have the notion of some kind of effective field which will tend to be proportional to D rather than E. Second, one might try to argue that the same structural factors determine permittivity and ionic conductivity. Here it may be noted that the change in permittivity is due to infrared polarization (associated with the normal modes of the lattice) not to defect processes associated with mobile ions and which have relaxation times in the audio region, since in this region of frequency there is apparently little difference between the values of frequency dependence of &' (or value of E").
The metal ion transport number is believed to increase with increasing field. If so, the relative thickness of the outer layer will be greater for films made at high fields and currents. If electrolyte incorporation occurs, the field required for a given current density in this outer layer is larger than that in the inner layer. Hence, the mean field will increase more than linearly with E, as observed. A quantitative treatment of this effect has not been made and we do not know whether the l o g / versus E relation for the oxide in the absence of all electrolyte inclusion would be completely linear or not.