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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 ζ(f) and ζ(d) respectively,which can be compounded into one λ∶λ=aζ(f)+bζ(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 λ were also given in LS coupling,which are profitable in analyzing the spectra of the 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 ζ (f) and ζ (d) respectively, which can be compounded into one λ: λ = aζ (f) + bζ (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 λ were also given in LS coupling, which are profitable in analyzing the spectra of the heavy lanthanide ions.