Description:
<jats:title>Abstract</jats:title>
<jats:p> Approximate solutions of the original Hartree-Fock-equation for the ground state of closed-shell molecules of arbitrary symmetry are attained by a combined numerical-analytical method. In a first step the one electron Schrödinger-equation for a conveniently guessed potential is solved by a numerical method described in previous papers. These MOs are approximated by linear combinations of basis functions of Gaussian type (GTF) in a variant of curve fitting varying all parameters of the GTFs. Principally they serve only to calculate the Coulomb and exchange potentials that are fed back into the conventional iterative procedure, but they can be used as an optimum basis set derived in an independent manner. Computations are made by a Fortran-IV program whose structure is briefly sketched. BH<jats:sub>3</jats:sub> is used as a test substance.</jats:p>