The coarsening of particles dispersed in a solution was found by Ostwald in 1900. Then, the following cubic law between mean radius (r-) and annealing time (t) was established by Lifshitz-Slyozov and Wagner in 1961. It should be noted,however,that the above equation is valid in the coarsening of B particles in A-B solution.Therefore,some modification is necessary in the case of multi-component materials.For instance,the coarsening of (Fe,Cr)aCb in γFe-M-C matrix is described s folows;According to Eq.(2),the coarsening rate of M23C6 in heat-resistant steel(9%Cr^1%W-0.1%C)depends on the diffusion rate of Cr,because.However,experimental data inform us that the rate-de-termining element is not Cr but W as shown in Fig.1The problem is solved by modifing the formula of M23C6 from (Fe,Cr,W)23C6to Fe4(Cr,W)19C6 in this case (Fig.2).Consequently,the coarsening equation is expressed as follows.
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