Simplified Hartree-Fock Computations on Second-Row Atoms

Simplified Hartree-Fock computations are carried out on the atoms He through Ne, using orthonormalized basis functions for the 1s, 2s and 2p orbitals dependent on three parameters. Using Mathematica with the new Apple M1 chip, computations require about 0.005 seconds of CPU time. Approximate energies within 1% of the best H-F values are thereby obtained, with an order of magnitude less computational effort.