Model 2MC Ordered IMC Nanoshell in Vacuum

An ideally ordered defect-free AB3 compound nanoshell of the same size as in the previous case was used. kMC confirm that 

For the sake of simplicity, let us consider a one-component hollow nanosheU where vacancy sources/sinks are provided only by internal and external surfaces. At such an assumption, inside the nanoshell the law of conservation of vacancies is fiilfUled 

Hereinafter, we consider the vacancy diffusivity as constant everywhere. Then, the change in migration energy is negligible and we can treat the dependence of the vacancy concentration profile only on the energy profile Ey (r) via 

In Equation 7.79, two different system s energies for each surface were introduced  

Taking into account the steady state of the vacancy flux for the system of Equations 7.78 and 7.79 

---