Reduced coefficients of fractional parentage and matrix elements of the tensor W-(kqkj) in jj-coupling

The reduced coefficients of fractional parentage and the completely reduced matrix elements of the tensor W-(kqkj) are tabulated for all subshells wit h j = 3/2, 5/2, 7/2, 9/2. These coefficients and matrix elements are freque ntly needed in relativistic atomic structure calculations in order to carry out the integration over the spin-angular variables in standard approaches like the multiconfiguration Dirac-Fock or the many-body perturbation theor y. The efficient use and properties of these reduced coefficients of fracti onal parentage and of the matrix elements of the tensor W-(kqkj) as well as of the tables of their numerical values are also discussed. (C) 2000 Acade mic Press.