Density functional static dipole polarizability and first-hyperpolarizability calculations of Nan (n=2, 4, 6, 8) clusters using an approximate CPKS method and its comparison with MP2 calculations

We report the static dipole polarizability and first-hyperpolarizability of the sodium atom clusters, Na-n, n = 2, 4, 6 and 8, using our recent implementation of a numerical-analytical approach to the coupled-perturbed Kohn-Sham (CPKS) equations in deMon2k. The calculations are reported for VWN and BP86 exchange-correlation functionals using Sadlej and TZVP-FIP1 basis sets which have been previously optimized for polarizability calculations. All-electron calculations were performed for the optimizations at the VWN/DZVP/A2 and PW86/DZVP/A2 levels. Comparisons are made with Hartree-Fock (HF) and MP2 benchmark calculations.