Ultraprecise Determination of Cs(nS_{1/2}) and Cs(nD_{J}) Quantum Defects for Sensing and Computing: Evaluation of...

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. The precision of the measured quantum defects allow for the calculation of Rydberg electric-dipole transitions and fine-structure intervals extrapolated from high principal quantum numbers, to rival that of sophisticated many-body relativistic calculations carried out at low Rydberg principal quantum numbers. We quantitatively predict the contributions to the quantum defect parameters from core polarization and core penetration of Cs inner shell electrons. A new value for the ionization energy, consistent across the nS_{1/2} and nD_{3/2,5/2} Rydberg series, is reported at 31 406.467 751 48(14)  cm^{-1}.