The electronic stopping cross-section is calculated in the spirit of the Bethe theory. Interaction potential between projectile and target is regarded to have a Coulombic character and we have modified it to take into account velocity dependences on a number of bound electrons of projectile and an effective charge of projectile and target. These velocity dependences are obtained from the Bohr adiabatic criterion using the Thomas-Fermi atomic model. We have get the electronic stopping cross-section expression using the Bethe approximation; we obtained the stopping cross-section of C and Al for C, O, and Si ions from this expression and compared our results with experiment and other theoretical calculations.
The potentials vanishing asymptotically as Lenz potentials are considered and an exact method of calculating of the scattering lengths for them is presented. This method is especially useful for Buckingham polarization potential. Formulae obtained in this report are the generalization of those derived in the previous paper for the inverse power potentials.
Electronic stopping power of compounds was calculated by using the Thomas-Fermi-Dirac-Weizsäcker density functional. Bragg's rule was employed to determine stopping power of compounds from the elemental stopping power results. Calculations were done for Be, B, O, and Si ions in Al₂O₃, SiO₂, and CO₂ targets by using the Thomas-Fermi-Dirac-Weizsäcker density functional. The obtained results were compared with other Thomas-Fermi based theoretical calculations and show that using Thomas-Fermi-Dirac-Weizsäcker density functional in stopping power calculations yields reasonably accurate results in especially light systems (with respect to the number of electrons in the system).
The formation energy of the mono-vacancy and both the formation energy and binding energy of the di-and tri-vacancy in BCC alkali metals and transition metals have been calculated by using the modified analytical embedded-atom method (MAEAM). The formation energy of each type of configuration of the vacancies in the alkali metals is much lower than that in the transition metals. From minimum of the formation energy or maximum of the binding energy, the favorable configuration of the di-vacancy and tri-vacancy respectively is the first-nearest-neighbor (FN) or second-nearest-neighbor (SN) di-vacancy and the [112] tri-vacancy constructed by two first-and one second-nearest-neighbor vacancies. It is indicated that there is a concentration tendency for vacancies in BCC metals.
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