You can think of a void $($hole$)$ in a crystal as a precipitate particle composed of vacancies.

Derive a formula for the vacancy concentration in local equilibrium with a spherical void of

radius r$,$ surface free energy $\backslash$gamma $,$ and atomic volume v$.$ The free energy of formation of a single

vacancy in the bulk material is Gf

$.$ If you have a distribution of voids of different sizes, what

does this suggest will happen over time?