Lindhard-Scharff

One of the first consequences of the above ideas was the development of the Orbital Local Plasma Approximation (OLPA) by Meltzer et al. [37-39]. The main ingredients in the OLPA consist in approximating the orbital weight factors by the orbital occupation numbers and adapting the Lindhard-Scharff Local Plasma Approximation (LPA) [10-12] to an orbital scheme whereby the orbital mean excitation energy was originally defined as [37,38]... 

Figure 1. The Lindhard-Scharff-Schiott (LSS) nuclear and electronic stopping powers as a function of a...

Systematic studies of particle-solid interactions began with Bohr (1948) and culminated in the general description of atomic collisions based on the Lindhard-Scharff-Schiott (LSS) theory (Lindhard et al. 1963, 1968). The universal treatment is described by a set of dimensionless or reduced variables that are proportional to the energy, distance and time functions. 

The other well-known model of electronic stopping in the velocity-proportional regime is credited to Lindhard and Scharff. While the Lindhard-Scharff formula has found wide-scale use, Lindhard and Scharff have never published a derivation of their formula. The Lindhard-Scharff form for electronic stopping can be obtained following the procedure of Firsov. The primary difference between the... 

For calculational purposes, the Lindhard-Scharff stopping cross-section can be expressed as... 

An excellent review of the subject is presented by Northcliffe and Lindhard, Scharff, and Schiott. The results are usually presented as universal curves in terms of two dimensionless quantities, the distance s and the energy e, first... 

For this region Lindhard and Scharff gave the formula... 

Lindhard J, Nielsen V, Scharff M, Thomsen PV (1963) Integral equations governing radiation effects (Notes on atomic collisions (III). KDan Vidensk Matematisk-fysiske Meddelelser 33 1-42 Lindhard J, Nielsen V, Scharff M (1968) Approximation method in classical scattering by screened coulomb fields (Notes on atomic colhsiorts (I). K Dan Vidensk Selsk Matematisk-fysiske Meddelelser... 

Lindhard, I, Nielsen, V., Scharff, M. Approximation method in classical scattering by screened coulomb fields (notes on atomic collisions I). Mat. Fys. Medd. Dan. Vidensk. Selsk. 36(10) (1968)... 

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