Non-Linear Approach to the Energy Loss of Ions in Solids

Division Colisiones Atomicas, Centro Atomico Bariloche and Instituto Balseiro, Comision Nacional de Energia Atomica, 8400 S.C. Bariloche, Argentina 

Bohr Bethe Bloch the standard results for bare ions 

An old question revisited the equilibrium charge of ions in solids 

ADVANCES IN QUANTUM CHEMISTRY. VOLUME 45 ISSN 0065-3276 DOI 10.1016/S0065-3276(04)45003-5 

The basic theoretical models to describe the interaction of ionized particles with matter were developed early in the 20th century by Bohr [1,2], Bethe [3] and Bloch [4] (BBB). These models provide the general framework to almost any consideration on the energy loss of swift particles in matter. The first two of these models are based on widely different assumptions, the Bohr description is fully classical, representing the atomic electrons by classical oscillators, while the Bethe model is based on quantum perturbation theory (first-order Born approximation). 

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Non-Linear Approach to the Energy Loss of Ions in Solids... 

As indicated before, the non-linear approach to the energy loss of ions in solids is based on the following methods (a) the transport cross section (TCS) method, and (b) the extended Friedel sum rule (EFSR). In addition, particular models will be used to represent the scattering potential by a sum of (i) the ion potential and (ii) the screening potential. The scattering potential will be adjusted in a self-consistent way, for each ion velocity, by the constraint of the EFSR. 

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