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The total cross sections of electron-impact single-K-shell ionization of 14 atomic targets ranging from H to U ͑1 ഛ Z ഛ 92͒ are calculated using a modified version of the BELI formula ͓Bell et al., J. Phys. Chem. Ref. Data 12, 891 ͑1983͔͒ by incorporating both ionic and relativistic corrections in it. The proposed modified Bell model with a single set of parameters is found to provide an excellent description of the experimental data in the reduced energy range 1 ഛ E / I K ഛ 10 6 ͑E and I K are, respectively, the incident energy and ionization poten-tial͒ with a performance level at least as good as any of the existing methods and models.

Absolute angular differential, integrated elastic and momentum transfer cross-sections for elastically scattered electrons from the ions ( ) of argon isonuclear series, over the energy range 3.3–100 eV, are calculated employing a complex electron-ion optical potential within the framework of Dirac relativistic partial wave analysis. The cross sections are analyzed in terms of the contributions from pure Coulomb filed and the short range electron-ion complex optical potential comprising static, exchange, correlation-polarization and absorption potentials. Comparison of our calculations with the available experimental data and other theoretical calculations shows a satisfactory agreement.

The experimental differential cross-sections of 16 O + 16 O elastic scattering in the energy range 75 MeV E lab 1120 MeV are analysed using families of non-monotonic (NM) shallow nucleus-nucleus potential in the framework of the optical model. The experimental data is reproduced successfully using six families of NM potentials. It is found that all families converge at 350 MeV. The clear indication of the convergence of the potential families at 350 MeV conforms to the Goldberg criterion concerning the removal of discrete ambiguities even for the shallow NM potential. The study further suggests that the energy of convergence heralds the occurrence of the primary rainbow at that incident energy.

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