The vibrational excitation differential cross sections (DCS) of low-energy electron-N2 scattering are studied using vibrational close-coupling (VCC) method and quantum vibrational scattering potentials which include static, exchange and polarization contributions. Polarization potential is attained by better than adiabatic dipole (BTAD) model and distributed spherical Gaussian (DSG) model respectively. By including the contributions of 18 partial waves, 20 vibrational states, the converged vibrational excitation DCS which agree well with experimental results are obtained.There are five parts in this dissertation.Part one briefly introduces the motivation and significance of low-energy electron-N2 scattering. Part two describes the close-coupling(CC) method improved by Prof. Sun Weiguo. The physical approximations and mathematical deductions of CC method are also mentioned. The interaction potentials, including static, exchange and polarization potential, which has important effect on cross sections are presented in part three. And in part four, by using BTAD and DSG model polarization potentials, convergence of differential cross sections for high vibrational excitations are studied in detail. We conclude our studies in part five.
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