“…A "dual-sublattice" diffusion modeling, in which a different diffusivity is assigned for diffusion via each sublattice, was proposed next. At the same time, a "semi-atomistic" simulation, in which silicon interstitials (I Si ) and carbon interstitials (I C ) are approximated as the same interstitials (I) and silicon vacancies (V Si ) and carbon vacancies (V C ) are approximated as the same vacancies (V), was performed (Mochizuki et al, 2009). Although this approximation originally comes from the limitation of a commercial process simulator, it contributes to reducing the number of parameters needed in an atomistic simulation using a continuity equation of coupling reactions between I Si , I C , V Si , V C , and diffusing species.…”