Extreme ultraviolet-visible double resonance excitation has been employed to populate selected rovibronic
levels of the EF 1Σg+, H 1Σg+, I 1Πg and J 1Δg states of H2 lying in the range between 115,000 and
117,600 cm-1 above the ground state X 1Σg+. Tunable coherent extreme ultraviolet radiation, generated
by a four-wave mixing process in Xe, prepares H2 in the intermediate B 1Σu+ (v = 6, J) state. Subsequent absorption of the visible laser radiation brings H2 to the higher gerade states and the fluorescence light
from these states is detected. Term values of 41 rovibronic levels in these gerade states, including 23
previously unidentified levels, were determined. The single rovibronic fluorescence lifetimes were also
measured under the collision-free condition. The fluorescence lifetimes of the EF 1Σg+ states exhibited
significant rotational dependences. The nonadiabatic coupling among the adiabatic upper gerade vibronic
states explained the observed rotational dependences successfully.