摘要
Based on grain boundary structural unit model, on the analogy of electric circuit calculation, it was found that the diffusion coefficients of a geneyal intervenient boundary between the delimiting boundaries 1 and 2 can be written as D_(11)=[D_((11)1) sin(φ_0-△θ/2)+D_((11)2)]/sinφ_0 D_⊥=D_(⊥1)D_(⊥2)sinφ_0/[sin (φ-△θ)D_(⊥2)+sin(△θ/2)D⊥1)] and D_(11)/D_⊥sin^2φ_0=D_((11)1)/D_(⊥1)sin^2(φ-△θ/2) +[(D_((11)2)/D_(⊥1))+(D_((11)1)/D_(⊥2)]sin(φ_0-△θ/2)sin(△θ/2) +(D((11)2)/D_(⊥2))sin^2(△θ/2) where D_(11) and D_⊥ are the diffusion coefficients pardllel to and perpendicular to the tilt axis, respectively. The subscripts 1 and 2 refer to the delimiting boundaries 1 and 2 respectively, and φ_0, the angle between periodic vectors of the strtictuyal units S_1 and S_2 which composes solely of delimiting boundaries 1 and 2 respectively. The experimental data from Hoffman, Upthegrove and Sinnot and Couling and Smoluchowski are analysed.
Based on grain boundary structural unit model, on the analogy of electric circuit calculation, it was found that the diffusion coefficients of a geneyal intervenient boundary between the delimiting boundaries 1 and 2 can be written as D_(11)=[D_((11)1) sin(φ_0-△θ/2)+D_((11)2)]/sinφ_0 D_⊥=D_(⊥1)D_(⊥2)sinφ_0/[sin (φ-△θ)D_(⊥2)+sin(△θ/2)D⊥1)] and D_(11)/D_⊥sin^2φ_0=D_((11)1)/D_(⊥1)sin^2(φ-△θ/2) +[(D_((11)2)/D_(⊥1))+(D_((11)1)/D_(⊥2)]sin(φ_0-△θ/2)sin(△θ/2) +(D((11)2)/D_(⊥2))sin^2(△θ/2) where D_(11) and D_⊥ are the diffusion coefficients pardllel to and perpendicular to the tilt axis, respectively. The subscripts 1 and 2 refer to the delimiting boundaries 1 and 2 respectively, and φ_0, the angle between periodic vectors of the strtictuyal units S_1 and S_2 which composes solely of delimiting boundaries 1 and 2 respectively. The experimental data from Hoffman, Upthegrove and Sinnot and Couling and Smoluchowski are analysed.
