Transition energies, Coulomb repulsions and effective quantum numbers have
been calculated for the doubly excited Nsnp: P-3(0) (for N = 2, n = N, ...,
5); Nsnd: D-3(e) (for N = 2, n = N + 1, ..., 5) and Npnd: F-3(0) (for N =
2, n = N + 1, ..., 5) states for the highly stripped ions Na9+, Mg10+, Al11
+, Si12+, P13+ and S14+. Time-dependent perturbation theory has been applie
d to calculate such transitions properties. A time-dependent harmonic pertu
rbation causes simultaneous excitation of both the electrons with a change
of spin state. The doubly excited energy levels and the analytic representa
tion of their wave functions are obtained by identifying the poles of an ap
propriately constructed linearized variational functional with respect to d
riving frequency. Most of the results are new. The transition energies and
effective quantum numbers of 2s2p: P-3(0) states of all the ions agree well
with the only available experimental data.