The 3 1SIGMA(g)+ state of Na2 has been extensively studied using an op
tical-optical double resonance technique and a shielded cylindrical sp
ace-charge-limited ionization detector. A wide range of vibrational qu
antum numbers 0 less-than-or-equal-to v less-than-or-equal-to 141 was
observed which covered over 99.9% of the potential well depth. A ''she
lf'' on the potential energy curve was found near v = 23. A hybrid pot
ential was constructed based on the Rydberg-Klein-Rees (RKR) potential
curve and a local inverse perturbation approach (IPA) for the shelf r
egion. For this potential, there is a shallow second local minimum app
roximately 5 cm-1 in depth at the shelf region. The long range energy
also compares well with long range theory.