Convergence Study Of Cross Sections For Vibrational Excitations In Low-energy-electron And N₂ Molecule Scattering

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, are introduced in part three. We emphasize on the model polarization potential which has important effect to cross sections, especially focus on the BTAD and DSG model potential. And in part four, by using BTAD and DSG model polarization potentials, convergence of cross sections for high vibrational excitations are studied in detail. We conclude our studies in part five.Some parameters, like the number of vibrational wave functions and partial waves, have important effect to cross sections. Our studies show that, by using N_v=20 and N_l=18, the high vibrational excitation (as high as 0→9, 1→9,2→9) cross sections are converged well. The converged cross sections are compared with experiments, and the applicability of close-coupling methed, the BTAD and the DSG model potentials are verified and discussed.