Self-diffusion in Au along isolated dislocations

The complete solution of dislocation-pipe diffusion is applied to self-diffusion data of gold from the literature. The diffusivities reported herein are based on a fitted dislocation density of ${10}^9$-${10}^{10}$ lines/${\mathrm{cm}}^2$. The resulting diffusivities are $D=0.07\mathrm{}\exp \left[\frac{-\left(1.73\mathrm{} \mathrm{eV}\right)}{\mathrm{kT}}\right]$ for the bulk and $D_p=2\mathrm{}\times {10}^{-3\mathrm{}}\exp \left[\frac{-\left(1.24\mathrm{} \mathrm{eV}\right)}{\mathrm{kT}}\right]$ for the dislocation pipes. The calculated radius of the pipes is $a=(1.5\mathrm{}\pm 1.0)\times {10}^{-6\mathrm{}}$ cm.