Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions
We present theoretical calculations of the energy-loss straggling of C, Al, Si, and Cu targets for H, He, and Li ions in the range of intermediate to high energies (0.01-10 MeV u). These calculations have been done by employing the dielectric formalism and by considering the different equilibrium ch...
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todo:paper_10502947_v75_n2_p_Montanari2023-10-03T15:59:53Z Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions Montanari, C.C. Miraglia, J.E. Heredia-Avalos, S. Garcia-Molina, R. Abril, I. Aluminum Carbon Dielectric devices Electric charge Ions Oscillators (electronic) Plasma applications Silicon Bohr value Dielectric formalism Mermin energy-loss functions model Oscillator strengths (MELF-GOS) Atomic physics We present theoretical calculations of the energy-loss straggling of C, Al, Si, and Cu targets for H, He, and Li ions in the range of intermediate to high energies (0.01-10 MeV u). These calculations have been done by employing the dielectric formalism and by considering the different equilibrium charge states of the swift ion inside the solid as a function of its energy. Two different models are used: the Mermin energy-loss functions combined with generalized oscillator strengths (MELF-GOS) and the shellwise application of the local plasma approximation (SLPA). The MELF-GOS describes the target outer-electron excitations through a fitting to experimental data in the optical limit, employing a linear combination of Mermin-type energy-loss functions; the excitations of the inner-shell electrons are taken into account by means of generalized oscillator strengths. The SLPA employs a free-electron-gas model for the target valence electrons and the local density approximation for each shell of target electrons separately by using Hartree-Fock atomic wave functions. The results of the energy-loss straggling obtained by the two independent models show good agreement with the available experimental data. The calculated energy-loss straggling tends at high energies to the Bohr value and takes values below it at intermediate energies. The Bethe-Livingston shoulder (or overshooting) at intermediate energies does not appear in the present calculations. We find that the energy-loss straggling normalized to ZP2 is almost independent of the ion atomic number ZP; therefore, the results for H, He, and Li projectiles in each target can be approximated by a universal curve at high energies. © 2007 The American Physical Society. Fil:Montanari, C.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Miraglia, J.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v75_n2_p_Montanari |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Aluminum Carbon Dielectric devices Electric charge Ions Oscillators (electronic) Plasma applications Silicon Bohr value Dielectric formalism Mermin energy-loss functions model Oscillator strengths (MELF-GOS) Atomic physics |
spellingShingle |
Aluminum Carbon Dielectric devices Electric charge Ions Oscillators (electronic) Plasma applications Silicon Bohr value Dielectric formalism Mermin energy-loss functions model Oscillator strengths (MELF-GOS) Atomic physics Montanari, C.C. Miraglia, J.E. Heredia-Avalos, S. Garcia-Molina, R. Abril, I. Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions |
topic_facet |
Aluminum Carbon Dielectric devices Electric charge Ions Oscillators (electronic) Plasma applications Silicon Bohr value Dielectric formalism Mermin energy-loss functions model Oscillator strengths (MELF-GOS) Atomic physics |
description |
We present theoretical calculations of the energy-loss straggling of C, Al, Si, and Cu targets for H, He, and Li ions in the range of intermediate to high energies (0.01-10 MeV u). These calculations have been done by employing the dielectric formalism and by considering the different equilibrium charge states of the swift ion inside the solid as a function of its energy. Two different models are used: the Mermin energy-loss functions combined with generalized oscillator strengths (MELF-GOS) and the shellwise application of the local plasma approximation (SLPA). The MELF-GOS describes the target outer-electron excitations through a fitting to experimental data in the optical limit, employing a linear combination of Mermin-type energy-loss functions; the excitations of the inner-shell electrons are taken into account by means of generalized oscillator strengths. The SLPA employs a free-electron-gas model for the target valence electrons and the local density approximation for each shell of target electrons separately by using Hartree-Fock atomic wave functions. The results of the energy-loss straggling obtained by the two independent models show good agreement with the available experimental data. The calculated energy-loss straggling tends at high energies to the Bohr value and takes values below it at intermediate energies. The Bethe-Livingston shoulder (or overshooting) at intermediate energies does not appear in the present calculations. We find that the energy-loss straggling normalized to ZP2 is almost independent of the ion atomic number ZP; therefore, the results for H, He, and Li projectiles in each target can be approximated by a universal curve at high energies. © 2007 The American Physical Society. |
format |
JOUR |
author |
Montanari, C.C. Miraglia, J.E. Heredia-Avalos, S. Garcia-Molina, R. Abril, I. |
author_facet |
Montanari, C.C. Miraglia, J.E. Heredia-Avalos, S. Garcia-Molina, R. Abril, I. |
author_sort |
Montanari, C.C. |
title |
Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions |
title_short |
Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions |
title_full |
Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions |
title_fullStr |
Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions |
title_full_unstemmed |
Calculation of energy-loss straggling of C, Al, Si, and Cu for fast H, He, and Li ions |
title_sort |
calculation of energy-loss straggling of c, al, si, and cu for fast h, he, and li ions |
url |
http://hdl.handle.net/20.500.12110/paper_10502947_v75_n2_p_Montanari |
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