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The momentum-space coupled-channels-optical (CCO) method is used to study the resonances in electron-oxygen collision in the energy region of 9–12eV. Present results have shown agreement with the available experimental and theoretical results, and new positions of resonances are found by the comparison of total cross sections.

The direct ionization cross sections for electron scattering by nitrogen are calculated by applying an equivalent-local optical model from 15 eV to 1100 eV. The present results are compared with the experimental data and other theoretical calculation results.

We extend the standard distorted wave Born approximation (DWBA) to include the second-order Born amplitude in order to describe the multiple interactions between a projectile and an atomic target. Both the first- and second- order DWBA models are used to calculate triply differential cross sections (TDCS) of coplanar (e, 2e) on atomic argon with the scattered electron energy fixed at 500 eV, the scattering angle at 6° and the ejected electron energies at 37, 74 and 205 eV. Overall agreements with experimental measurements have been obtained in shape, and the second-order DWBA model improves the calculations as expected, especially for recoil peak of TDCS.

The low energy scattering of electrons by sodium at incident energies up to ionization threshold are calculated by applying the momentum space coupled-channel-optical (CCO) method. The present results are in good agreement with the previous experimental and theoretical results. Furthermore, three resonances in the total cross sections observed by previous experiments are proved by the present calculation.