For the solid state reaction proceeded by a unidirectional diffusing process, the growing rate of the product layer is estimated based on the assumption that the rate is determined by the formation of the solid solution followed by the product phase. The role of the diffusing component in the solid solution can be considered analogously to Hatta's theory quantitatively describing two processes of the diffusion and of the chemical reaction in the minute region of the reacting area.
The reaction rate of the V
2O
5-MoO
3 diffusion couple is analyzed by the use of the present result. The growing rate of the V
9Mo
6O
40 layer can be represented well by this model, and the calculated diffusivity of the MoO
3 component in the V
2O
5ss layer is found to be 8.8×10
-15m
2s
-1 at 600°C.
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