A linear interpolation of the electronic levels of f²-system in octahedral coordination

The transition from LS to jj coupling within the f² configuration is shown schematically as a function of ? F₂, and the composition of levels in the intermediate coupling is given at ? F₂ = 4·2, 8·4 and 12·6. Also, the energy levels of f²-system in an octahedral crystal-field were calculated by diagonalizing complete Coulomb, spin-orbit and crystal-field interaction matrices for a range of values of the parameters F₂, F₄, F₆, ?, A₄  r⁴ and A₆6. The eigenvalues were expanded by T linear interpolation to describe the variation of the energy levels as a function of these parameters is presented. The accuracy of this interpolation is indicated. © 1969.