Rate Equations of Grain and Particle Growth from Statistical Viewpoint

Abstract

Rate equations were statistically derived for grain growth with simultaneous densification (RdR=6γ_IΩD[1-1.4(1-ρ)]k₁²k₂dt/kTW) and for particle growth by surface drffusion (R⁴-R₀⁴=K_S′t). They were successfully applied to grain growth of the sinterable BeO purchased from NGK Insulators Ltd., (CF-BeO) and to particle growth of a nonsinterable one derived from a hydroxide, respectively. Difference in the growth behaviors of grains and particles was explained from the viewpoint of their geometrical configurations.