Journal Article10.1007/BF01415015
New projected range algorithm as derived from transport equations
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TL;DR: In this article, the authors derived PRAL from the Boltzmann equation and showed that the results of PRAL show good agreement with presently available results from transport equations (backward Boltzman equations).
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Abstract: A new PRojected RAnge ALgorithm — further referred to as PRAL — was presented at two earlier conferences: PRAL as derived from an angular diffusion model (Albany 1980), and a more plausible direct derivation (Sidney 1981). This algorithm is distinguished from other projected range calculations by (i) being simpler and faster on the computer, (ii) readily allowing approximate analytic solutions, (iii) taking into account higher energy loss moments, e.g. nuclear and electronic straggling, and (iv) dealing with all mass ratiosM
2/M
1 in the same manner, and hence allowing to treat any chemically composed target materials, e.g. alloys, metal oxides, -hydrides, new semiconductor materials, etc. — Since results of PRAL show good agreement with presently available results from transport equations (backward Boltzmann equations), it was suspected that both approaches are equivalent. This indeed is proved in the present paper by deriving PRAL from the Boltzmann equation.
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References
Calculation of projected ranges — analytical solutions and a simple general algorithm
TL;DR: In this article, the concept of multiple scattering is reconsidered for obtaining the directional spreading of ion motion as a function of energy loss, and the mean projection of each pathlength element of the ion trajectory is derived which, upon summation or integration, leads to the desired mean projected range.
235
Heavy-ion range profiles and associated damage distributions.
TL;DR: In this article, a detailed distribution of the ranges of heavy ions in amorphous targets and of the associated radiation damage have been obtained for low (keV) incident-ion energies, neglecting electronic stopping.
187
Ranges of projectiles in amorphous materials.
TL;DR: In this paper, an inverse power-law approximation for the interaction potential between a fast-moving projectile and the atoms of an amorphous target into which it penetrates was proposed.
83
Statistical range distribution of ions in single and multiple element substrates
W. S. Johnson,J. F. Gibbons +1 more
TL;DR: In this paper, a computer program has been written which calculates and plots 〈R〉 and σR as a function of energy for any ion impinging on either a single or multiple-element substrate.
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