I n order to study thegerade Rydbergstates aftherare-gasexeimers the absorption spectra of Ne, and Kr, in the 'Xu state were investigated. Using a dye laser a resolution of better than I cm-' was achieved. The observed absorption bands were attributed to transitions to Ne2(3p, ' n ~, Ne2(4p,'XJ, Ne,(4p, >ne), Kr2(6p, Kr,(hp,'n,), Kr2(7p,'Xs) and Kr2(7p, In,) respectively. Although perturbations by crossings with repulsive curves are present, for most levels several vibrational transitions were identified and the spectroscopic propertier are determined.