Collision cross section determinations on the transition E/sup 3/ ..sigma../sup +//sub g/ reversible arrow X/sup 1/ ..sigma../sup +//sub g/ in N/sub 2/ at 100, 200, and 300 eV show that the cross section decreases steadily at each kinetic energy as the scattering angle increases at angles in the range 2/sup 0/ ..-->.. 14/sup 0/. Thus, the transition resembles the 2/sup 3/S reversible arrow 1/sup 2/S transition helium studied by Dillon (J. Chem. Phys. 63, 2035 (1975)). Both singlet-triplet transitions belong to a class for which the cross section is abnormally high in forward scattering as expected, since the orbital term symbol is the same in ground and excited states. The study of the singlet-triplet transition in N/sub 2/ is reported. Two theoretical studies have been completed, one on the functional form at one-electron momentum distributions deduced from a local one-electron potential function, and the second on the connection between generalized oscillator strengths and collision cross sections (in Born approximation) for resonant energy transfer in the collision of two molecules.