We report elastic integral, momentum transfer and differential cross sections from 10-30 eV for electron scattering by X 2 (X = N, P, As, Sb). These results were obtained at the static-exchange approximation with the Schwinger Multichannel Method with Pseudopotentials [M H F Bettega, L G Ferreira and M A P Lima 1993 Phys. Rev. A 47 1111]. Our results for N 2 are in good agreement with experimental data. We also compare our results with previous calculations on XH 3 (X = P, As, Sb) [M H F Bettega, M A P Lima and L G Ferreira 1996 J. Chem. Phys. 105 1029] and found, as expected, that the X 2 cross sections are larger than the corresponding XH 3 cross sections.