The Born-Oppenheimer potential energy curve and the adiabatic correcti
ons for the a(3) Sigma(g)(+) state of the hydrogen molecule have been
recalculated for a wide range of internuclear distance using explicitl
y correlated wavefunctions in elliptic coordinates. The calculated pot
ential energy curve is lower than the previous one by more than I cm(-
1). The energies of the vibrational levels and rotational constants fo
r this state have been also computed. In addition, the nonadiabatic co
rrections have been estimated on the basis of an approximate Van Vleck
formula. The estimated nonadiabatic shift for the lowest level of H-2
has been independently confirmed by comparing the nonadiabatic energy
calculated by Bishop and Cheung with the adiabatic energy presented i
n this work. It is shown that by taking into account estimated nonadia
batic corrections as well as relativistic and radiative effects, excel
lent agreement with experiment is achieved. (C) 1995 Academic Press, I
nc.