Mathematics
Scientific paper
Mar 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000stin...0032537w&link_type=abstract
Technical Report, NASA/TP-2000-209864; NAS 1.60:209864; L-17866
Mathematics
Ion Beams, Mathematical Models, Approximation, Extraterrestrial Radiation, Energy Dissipation, Normal Density Functions, Standard Deviation, Transport Theory, Molecular Interactions, Nuclear Interactions, Free Electrons
Scientific paper
A first-order approximation to the range and energy straggling of ion beams is given as a normal distribution for which the standard deviation is estimated from the fluctuations in energy loss events. The standard deviation is calculated by assuming scattering from free electrons with a long range cutoff parameter that depends on the mean excitation energy of the medium. The present formalism is derived by extrapolating Payne's formalism to low energy by systematic energy scaling and to greater depths of penetration by a second-order perturbation. Limited comparisons are made with experimental data.
Tai Hsiang
Wilson William J.
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