The optical method and time-resolved spectroscopy have been used to study the electron impact excitation of the G 1∑g +(v′ = 0,1,2,3) and I 1Πg(v′ = 0) Rydberg states and the K 1∑g+(v′ = 0,1,2), M 1∑g+(v′ = 0), and N 1∑g+(v′ = 1,2) doubly excited states of the H2 molecule. Emission cross section measurements in the range 0.2 to 3.3 × 10-20 cm2 and radiative lifetime measurements in the range ∼21 to 70 ns are obtained at 50 eV incident electron energy and ∼30 mTorr H2 gas pressure. In addition, H2-H2* quenching rate data are obtained for several rovibronic levels of the singlet-g states over the pressure range ∼10 to 400 mTorr. © 1979 American Institute of Physics.