Electronic Polarizabilities of Ions

Abstract

The dipole polarizability ${\alpha }_d$ and the quadrupole polarizability ${\alpha }_q$ have been calculated for several ions by solving the Schrödinger equation satisfied by the first-order perturbation of the wave functions of the electrons of the core. The results for ${\alpha }_d$ of the helium-like ions are in good agreement with those obtained previously by an analytic method. The calculated quadrupole polarizability ${\alpha }_q$ of the alkali ions increases very rapidly with increasing $Z$, from 0.056 ${\mathrm{A}}^5$ for ${\mathrm{Na}}^{+}$ to 7.80 ${\mathrm{A}}^5$ for ${\mathrm{Cs}}^{+}$.