Abstract

A spin orbital in the central field approximation is characterized by the quantum numbers. It is necessary to satisfy the Pauli principle, which requires the total wave function to be antisymmetric with respect to an interchange of all the coordinates of the two electrons. This chapter lists a sequence for constructing Russell–Saunders eigenfunctions based on central field spin orbitals. A symmetric spin function is combined with an antisymmetric space function to form a totally antisymmetric two-electron wave function. The construction of multiplet wave functions involves the coupling of angular momenta and antisymmetrization. The Pauli principle requires the total wave function to be antisymmetric. Therefore, the total wave function for two electrons is a product of a symmetric spin function and an antisymmetric function of the space coordinates.

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