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absorption angular momentum applied approximation atomic beam auto-ionisation broadening calculation causes charge distribution classical components configuration constant coordinates D-terms defined degeneracy density depends derived described diagonal dipole radiation doublet eigenfunctions eigenvalues electric emission emitted energy levels equation excited external field fact factor formula frequency gives ground term helium hydrogen hydrogen-like hydrogen-like atoms hyperfine structures increase integral intensity interval rule ionisation ions isotope isotope shift j-coupling Lamb shift leads linear lowest magnetic field magnetic interaction matrix elements measurements method momenta multiplet nucleus observed optical orbital motion oscillator P-terms parity particle perturbation Phya polarisation potential precession quadrupole quantum mechanics quantum numbers quantum theory radio-frequency ratio resonance lines result Russell-Saunders Russell-Saunders coupling s-electrons selection rule shows singlet spectral lines spectrum spherical splitting Stark effect strength sum rule symmetry term diagram term values tion transition probabilities vector wave functions wave-number wavelength Zeeman effect