Electronic Polarizabilities of Ions

The dipole polarizability ${\alpha }_d$ has been calculated for several ions by solving the Schrödinger equation for the first-order perturbation of the wave functions of the core electrons. General results have been obtained for the number of nodes of the various types of perturbed wave functions ($\mathrm{nl}\to l^{\prime }$) in terms of the principal quantum number $n$. Tables of the perturbed wave functions for the ${\mathrm{Na}}^{+}$ and ${\mathrm{Cl}}^{-}$ ions are presented. The results for ${\alpha }_d$ of ${\mathrm{Na}}^{+}$, ${\mathrm{K}}^{+}$, ${\mathrm{Rb}}^{+}$, and ${\mathrm{Cs}}^{+}$ are in reasonable agreement with those obtained in previous work. Calculations have also been carried out for the electric field at the nucleus due to the charge distribution induced in the ion by an external charge. Values of the quadrupole shielding constant ${\gamma }_{\infty }$ have been obtained for several helium-like ions.