Resonance measurements of d-f-g-h intervals in Rydberg states of sodium and a redetermination of the core polarizabilities

Microwave resonances in Na Rydberg states n=22–30 between d, f, g, and h states have been detected by field ionization. The 39 new transition frequencies have been combined with previously measured frequencies in the same Rydberg series, n=9–17, in order to test the internal consistency and reliability of the data by using series formulas. A new analysis of the effective dipole and quadrupole core polarizabilities in ${\mathrm{Na}}^{+}$, based on the enlarged data set, has been carried out, and the sensitivity of the results to several model assumptions has been examined. The results are ${\alpha }_d^{\mathcal{’}}$=0.9980±0.0033 a.u. and ${\alpha }_Q^{\mathcal{’}}$=0.351±0.081 a.u.