Application of an improved self-consistent field method for molecular systems in the representation of basis expansions

Wave functions of states of electron system are represented in the form of the sum of binary products of the many-electron coordinate functions by the many-electron spin functions. Mean energy of arbitrary state is calculated using these functions and the generalized equations of self-consistent field are obtained by means of varying this energy. Molecular orbitals are represented as the expansions over symmetrised base functions. Equations are expressed in the representation of base expansions. The coordinate genealogical coefficients necessary for the calculations are evaluated for the group $O(T_d)$ and tabulated.