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I present a spherical geometric model for the slowing down and transport of electrons and positrons in solids. This latter is mainly based on the Continuous Slowing Down Approximation (CSDA) scheme. In advantage, I have developed an analytical expression of the mean penetration depth at normal and oblique incidence by combination between my model and the Vicanek and Urbassek theory. For this, I have used the Relativistic Partial Wave Expansion Method (RPWEM) and the optical dielectric model to calculate the elastic cross-sections and the ranges respectively. Good agreement was found with the experimental and theoretical data.
► We present a spherical geometric model for the absorbed electrons/positrons in solids.
► A new analytical electrons and positrons mean penetration depth in solids is proposed.
► This later is mainly based in CSDA scheme and reflection coefficient theory.
► A reasonable agreement with the available data is remarked.
Journal: Vacuum - Volume 86, Issue 12, 20 July 2012, Pages 1855–1859