Extremely large vibrational amplitude (z8700 a.u.) heavy Rydberg levels in the H H 1 S + g state, located only 25 cm À1 below the ion-pair dissociation limit, are reported. The calculations are done using a hybrid log derivative/multichannel quantum defect approach that accounts for predissociation and is capable of dealing with any number of long-range closed channels, and of providing positions and widths for the heavy Rydberg resonances. In this case, resonance positions can be reproduced qualitatively using a simple diabatic model (however, the resonance widths cannot). Absolute quantum defects are derived for the vibrational series ranging from n ¼ 0 to n ¼ 2010.The influence of the Coulomb potential and continuity of heavy Rydberg behavior throughout the 1 S + g manifold of states is demonstrated.