Hylleraas method for many-electron atoms. II. Integrals over wave functions with one interelectronic coordinate

A procedure is proposed to evaluate matrix elements containing r νij linked with angular functions. Using this procedure, the different types of two‐, three‐, and four‐electron radial and angular integrals that appear in a five‐electron atom, in the case of only one rij coordinate per basis function, are written in a compact form, separated in radial coordinates of one electron. The general formulas with which to obtain the integrals for powers ν ≥ 1 are developed, based on the orthogonality of the Legendre polynomials. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2005