Separation of the Defect Concentration and Diffusion Coefficient in Diffusion-Limited Scaling Reactions

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Abstract
In diffusion‐limited scaling reactions the rate constant is proportional to the quantity , where and are the diffusion coefficient and the solubility of the defect whose motion through the growing scale is essential to continued reaction. In order to separate and , recourse is usually made to an independent measurement of one or the other, which is a difficult and frequently unreliable procedure. A new technique is proposed which permits the accurate and simultaneous determination of and from reaction rates alone. The method is based on the controlled interruption of a scaling reaction and possesses a rigorous internal check. It is applicable in principle to any such reaction, and the necessary mathematical formulation is presented in a convenient analytical form. Conventional experimental techniques can be used when . The treatment is illustrated for the oxidation of .

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