The anodic oxidation of metals has been studied conventionally in aquaous electrolyte at room temperature, but we studied it in salt bath electrolyte at higher temperature of about 300°C.
We have been wondering whether the oxidation rate follows the exponential law or not. but, from the result of our experiment it was found that it followed the law, which had been proposed by Mott and Cabrera
1) from the statistical point of view.
The formula is as follows:
dδ/dt=i=N'νΩexp(-W+qa'F/kT)=N'νΩexp-W/kT exp qa'F/kT
where N' Number of ion per unit arer surface. ν Atomic frequency of vibration. Ω Volume of oxide per metal ion. W Heat of solution of metal ion+activation energy for diffusion. k Boltzmann constant. T Absolute temperature. q Positive charge of metal ion. a Bottom to top distance of potential, barrier. F Potential gradient of oxide film. δ Thickness of oxide. t Time
Conveniently the formula can also be expressed as follows:
i=A exp BF A=N'νΩexp(-W/kT) B=qa'F/kT
Young
2) and others supported the Mott's formula but Vermilyea
3) proposed another formula from his experiments. i=N'νΩexp-W/kT expαF α_??_F(T)
Our result does not coincide with Vermilyea's formula and the coefficieut B is inversely proportional to the temperature as shown in the following table:
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