The Morse parameters for all the Rg(2)(+) and ground- and D-state curves for the X-2(-) are reported. Based on the isoelectronic equivalence and new literature data for the ground states of I-2(-), Ne-2(+) and Ar-2(+) [Ramos et al., Phys. Rev. A56 (1997) 1913; Signorell et al., J. Chem. Phys. 107 (1997) 10819; Zanni et al., J. Chem. Phys. 107 (1997) 7613] the literature high-resolution photoelectron spectra [Hall et al., J. Phys. B 28 (1995) 2435] can be analyzed to give accurate D-0, upsilon(e) and some r(e) for all the states. For some curves, the absorption spectre must be used. To do this the selected values of ground-state Rg(2)(+) parameters are: Ne-2(+) (1.28 +/- 0.01 eV, 175 +/- 2 pm, 569 +/- 4 cm(-1)); Ar-2(+) (1.314 +/- 0.001 eV, 256 +/- 2 pm, 307 +/- 1 cm(-1)); Kr-2(+) (1.18 +/- 0.01 eV, 272 +/- 2 pm, 162 +/- 2 cm(-1)); Xe-2(+) (1.007 +/- 0.005 eV, 308.5 +/- 2 pm, 128 +/- 5 cm(-1)). (C) 1998 Published by Elsevier Science B.V. All rights reserved.