Monte-Carlo simulation and analytical expressions for the extrapolated range and transmission rate of low energy electrons [10 eV–10 keV] in 11 monoatomic materials

• Published in: Applied surface science 2021-12, Vol.570, p.151154, Article 151154
• Main Authors: Gibaru, Q., Inguimbert, C., Belhaj, M., Raine, M., Lambert, D.
• Format: Article
• Language: English
• Subjects: Analytical expression; Engineering Sciences; Extrapolated range; Low energy electrons; Monte Carlo simulation; Physics; Transmission rate
• ISSN: 0169-4332; 1873-5584
• DOI: 10.1016/j.apsusc.2021.151154

[Display omitted] •The commonly used analytical expressions for the extrapolated range and transmission rates of electrons are given classically for energies down to ∼1 keV, but are not valid below 1 keV.•Low energy Monte Carlo simulations have been performed to extract these parameter in various materials down to 10 eV.•These simulations have been used to parameter transmission rate and projected range analytical expressions.•The expressions are available for 11 monoatomic elements (C, Be, Al, Si, Ti, Ni, Cu, Ge, Ag, Fe and W) and include notable improvements between 10 eV and 10 keV. The “extrapolated range” of electrons is a very practical physical parameter widely used in many applications. The commonly used analytical expressions are given classically for energies down to ∼1 keV. Low energy Monte Carlo simulations have been performed to extract this parameter in various materials down to several tens of eV. These simulations have been used to parameter both, transmission probability and projected range analytical expressions. These empirical equations have been extended to 11 monoatomic elements (C, Be, Al, Si, Ti, Ni, Cu, Ge, Ag, Fe and W) and for energies ranging from ∼10 eV up to some tens of MeV.