ABSTRACT:The Rydberg excited levels of s, p, d, and f symmetries are studied up to principal quantum number n = 5 for the first eight members of the Na iso-electronic sequence (Na to Ar 7+ ) and for the first six members of the Al iso-electronic sequence (Al to Ar 5+ ) by the symmetry adapted cluster-configuration interaction (SAC-CI) method. The valence Slater-type orbital (STO) basis sets of Clementi et al. and the optimized Rydberg STO functions are used by the STO-6G expansion method. The calculated transition energies agree well with the experimental values wherever available. The results for the 4f level of S 3+ and for the 5s, 4p, 5p, and 4f levels of Cl 4+ and Ar 5+ are predicted for the first time.