Electronic Polarizabilities of Ions from the Hartree-Fock Wave Functions

The electronic polarizability $\alpha$ has been calculated for several ions by obtaining the perturbation of the wave functions by an external field from a numerical solution of the differential equation satisfied by the perturbation. For the helium-like ions an analytic solution was obtained by using the wave functions of Löwdin. The calculated values of $\alpha$ are, in general, between 1 and 1.5 times the observed values. For several ions values have been calculated for the quadrupole polarizability which measures the quadrupole moment induced in the ion by an external charge. The effect of the dipole moment induced in the ion on the electric field at the nucleus is discussed.