Two-Electron Fractional Parentage Coefficients for the Configurations ln

Abstract

An equation for computing the two‐electron functional parentage coefficients of the configurations l n in terms of the one‐electron fractional parentage coefficients of l n and l n−1 is derived. Abbreviated tables of the two‐electron coefficients of the lowest lying terms of the d n and f n configurations are given. The orthogonality, charge conjugation, and symmetry properties of the two‐electron fractional parentage coefficients are discussed briefly. The use of the coefficients in calculating matrix elements of two‐particle operators is discussed, and the appropriate equations are given.