The quadrupole antishielding factors ${\gamma }_{\infty }$ for the ions ${\mathrm{Na}}^{+}$, ${\mathrm{Mg}}^{2+}$, and ${\mathrm{Cl}}^{-}$ have been calculated by solving differential equations in nonorthogonal Hartree-Fock perturbation theory. The results are compared with the values of ${\gamma }_{\infty }$ obtained in other calculations. The agreement in all the cases except ${\gamma }_{\infty }(3p\to p)$ of ${\mathrm{Cl}}^{-}$ is quite satisfactory. It is believed that the discrepancy in the latter case is perhaps due to the different zero-order wave function used in the present calculation.

• Received 2 May 1979

DOI:https://doi.org/10.1103/PhysRevA.21.1835