Quadrupole antishielding factors and polarizabilities in ionic crystals

Using nonrelativistic Hartree-Fock-Slater wave functions and Sternheimer's perturbation-numerical method, the quadrupole antishielding factor γ_∞ and quadrupole polarizability αq have been calculated for 35 free ions isoelectronic with He, Ne, Ar, Kr, Xe, and Rn configurations. Assuming an additional potential due to a charged hollow sphere of Watson type around the ion in crystals, the self-consistent wave functions for 10 additional negative ions O^2-, S^2-, Se^2-, Te^2-, P^3-, As^3-, Sb^3-, Si^4-, Ge^4-, and Sn^4- have been generated in order to calculate γ_∞ and αq for a total of 45 closed-shell ions in crystals. In the presence of the spherical potential, the negative-ion γ_∞ and αq values decrease while the positive-ion values increase as compared to the corresponding free-ion values, respectively. The effect of contraction of wave functions on γ_∞ and αq for singly and doubly negative ions has been studied as a function of the radius of the hollow sphere over a range of values around the Pauling ionic radius and in each case a satisfactory polynomial relationship has been assigned.