LSS Theory

Abstract

Ion implantation profiles are expressed by the Pearson function with first, second, third and fourth moment parameters of Rp , ΔRp , γ , and β. We can derive an analytical model for these profile moments by solving a Lindhard-Scharf-Schiott (LSS) integration equation using perturbation approximation. This analytical model reproduces Monte Carlo data which were well calibrated to reproduce a vast experimental database. The extended LSS theory is vital for instantaneously predicting ion implantation profiles with any combination of incident ions and substrate atoms including their energy dependence.

Keywords: Ion implantation, LSS theory, amorphous, Monte Carlo, nuclear stopping power, electron stopping power, range, projected range, skewness, kurtosis, lateral straggling, Thomas-Fermi potential, ZBL potential, nuclear cross section, electron cross section, cross section.