title: Interelectronic angle densities of equivalent electrons in Hartree-Fock theory of atoms.
abstract: The interelectronic angle density A(theta12) is the probability density function that the angle thetaij (0 < or = thetaij < or = pi) subtended by the vectors ri and rj of any two electrons i and j becomes theta12. For equivalent electrons in atoms, it is shown that the density A(theta12) in the Hartree-Fock theory is given by a simple polynomial of cos theta12. Detailed expressions are reported for all LS terms arising from s2, pN (N = 2-6), dN (N = 2-10), and f(N) (N = 2,12) electron configurations. With no modifications, the present results apply as well to the interelectronic angle density A(theta12) in momentum space, where theta12 is the angle between two electron momenta.
authors.affiliation: Department of Applied Chemistry, Muroran Institute of Technology, Muroran, Hokkaido 050-8585, Japan. koga@mmm.muroran-it.ac.jp
authors.forename: Toshikatsu
authors.initials: T
authors.lastname: Koga
authors.forename: Hisashi
authors.initials: H
authors.lastname: Matsuyama