Spectroscopic Properties of Rare Earths

¹T₁ 6-j symbol actinides angular momentum approximately atom or ion atomic beam calculated Chem cm-¹ coefficients components configuration interaction core correction crystal field parameters crystal field splittings crystal quantum numbers deduced diagonal eigenfunctions electric-quadrupole electrostatic interaction energy levels energy matrices equation evaluated experimental factors ƒ configuration g-values G. H. Dieke given Hamiltonian Hartree-Fock hyperfine structure ibid intensities intermediate coupling ionization irreducible representations isotope shifts J₁ J₁j coupling J₂ Judd L₁ lanthanides line strengths LS coupling magnetic field magnetic-dipole matrix elements multiplet nala nuclear magnetic nucleus number of electrons observed obtain one-electron orbital oscillator strengths perturbation Phys point symmetry potential radial integrals rare earth rare earth ion rare earth spectra relativistic result Russell-Saunders s-electron S₁ selection rules Slater spectroscopic spin spin-orbit coupling constant spin-orbit interaction Table tensor operators theory transformation values wave functions well-defined coupling scheme Wybourne yield Zeeman effect