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agreement alkali metals angular momentum atomic number azimuthal quantum Balmer Balmer series Bohr calcium calculated Chap chief series classical complex spectra components corresponding coupling curves diffuse series doublet electron configuration elements energy level diagram energy levels equation example excited field-free fine-structure formula frequency g factor give rise Goudsmit half-intensity breadth helium hydrogen hydrogen-like hydrogen-like atoms interaction energy interval rule inverted ionized atoms isotope jj-coupling lithium LS-coupling magnetic field magnetic quantum mechanical motion multiplets nuclear nucleus observed obtained Paschen Paschen-Back effect Phys plotted precession principal series quantized quantum-mechanical radiation ratio represent resultant Rydberg constant scandium selection rules separations series limit shown in Fig singlet sodium Sommerfeld spectrum lines spin splitting Stark effect strong field structure subshells sum rule term values terms arising theory total quantum number transitions valence electron vector model velocity wave numbers wave-length weak field x-ray Zeeman effect Zeeman patterns Zeits