Determination of the grain boundary diffusion coefficient of oxygen in Cr2O3

Abstract
The penetration of tracers into polycrystals is described by the solution of the corresponding differential equation by Suzuoka.1 A direct determination of DGB δ (DGB: grain boundary diffusion coefficient, 2δ: grain boundary thickness) by this complex solution is not possible. Therefore, so far, an approximate solution for intermediate times t and large penetration depths y derived from the Suzuoka solution has been used to obtain DGB δ by a graphical method. For very small DGB the penetration profiles of stable isotopes in polycrystals can be measured by SIMS. Under these conditions the graphical method cannot be applied. For this reason, a new numerical method based on the exact solution of Suzuoka had to be developed. It is applied and verified in the determination of DGB for oxygen in Cr2O3.

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