Calculation of electrostatic energy H-e(fd) on 4f(N-1)5d configurations for heavy lanthanide ions

For the 4f(N-1)5d configuration the Coulomb interaction between f and d electrons was parameterized by F-k(fd) with K = 2, 4, and G(K)(fd) with K = 1, 3, 5. The spin-orbit interaction for 4f and 5d electrons can be parameterized by xi (f) and xi (d) respectively, which can be compounded into one lambda : lambda = axi (f) + bxi (d), where a and b are the corresponding coefficients. The energy expressions of H-e(fd) of the chief low-energy levels of 4f(N-) (1)5d configuration for heavy lanthanide ions were calculated and the corresponding spin-orbit parameters lambda were also given in LS coupling, which are profitable in analyzing the spectra of the heavy lanthanide ions.