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We make absolute frequency measurements of Cs Rydberg transitions, |6S_{1/2},F=3⟩→|nS_{1/2}(n=23-90)⟩ and |nD_{3/2,5/2}(n=21-90)⟩, with an accuracy of less than 72 kHz. The quantum defect parameters for the measured Rydberg series are the most precise obtained to date. The quantum defect series is terminated at δ_{4}, showing that prior fits requiring higher order quantum defects reflect uncertainties in the observations.

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Laser spectroscopy of atomic hydrogen and hydrogen-like atoms is a powerful tool for tests of fundamental physics. The 1-2 transition of hydrogen in particular is a cornerstone for stringent Quantum Electrodynamics (QED) tests and for an accurate determination of the Rydberg constant. We report laser excitation of the 1-2 transition in singly-ionized helium (He), a hydrogen-like ion with much higher sensitivity to QED than hydrogen itself.

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GW and Bethe-Salpeter equation (BSE) methods are used to calculate energies of excited states of organic molecules in the Quest-3 database [Loos et al., J. Chem.

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