Low energy (e, 2e) study for N$_{\mathrm{\mathbf{2}}}$ in coplanar and non-coplanar geometries for symmetric and asymmetric angles and final state electron energies

Triple differential cross sections (TDCS) have been calculated and compared with experimental data for electron impact ionization of the neutral molecule N$_{\mathrm{2}}$ over a range of geometries from coplanar to the perpendicular plane. Experiment and theory will be compared for incident electron energies of 10eV and 20eV above the ionization potential of the 3$\sigma_{\mathrm{g}}$, 1$\pi_{\mathrm{u}}$ and 2$\sigma _{\mathrm{g}}$ states, using both equal and non-equal outgoing electron energies. Also, we have measured and calculated TDCS for equal outgoing electron energies of 10eV and 20eV for ionization of the N$_{\mathrm{2}}$ 3$\sigma_{\mathrm{g}}$, and 1$\pi_{\mathrm{u\thinspace }}$states for one of the electrons having a fixed scattering angle of 45$^{\mathrm{o}}$, 90$^{\mathrm{o}}$, and 125$^{\mathrm{o}}$. Calculations have been done for experimental data taken with the incident electron beam in the scattering plane, at 45\textdegree to this plane and orthogonal to the scattering plane. Experimental data will be compared to three different theoretical approximations - the three body distorted wave (3DW) approximation, the Distorted wave Born approximation (DWBA), and the Ward-Macek approximation.