Self-broadenings and frequency shifts of
n2S and
n2D Rydberg levels (up to $n\ensuremath{\sim}70$) have been measured for rubidium in the pressure range of 3 to 100 mTorr, and the general dependence on principal quantum number
n has been established for this low-pressure regime. A closer examination has revealed large (almost evenly spaced) oscillations in the dependence of linewidth on principal quantum number for the
2S levels in the region of largest linewidth ($n\ensuremath{\sim}20 \mathrm{to} 30$).
The technique of Doppler-free two-photon spectroscopy was used to measure rates for line broadenings and frequency shifts of Rydberg levels with pressure. Measurements were made of spectra of
2S and
2D states (with n\ensuremath{\sim}10--40) for
Rb∗∗+Rb and
K∗∗+K, and of
2S states (with n=14--29) for
K∗∗+Rb. Large oscillations are observed in both broadening and shift rates for n\ensuremath{\sim}20--30 in all series except for the
2D series in
Rb∗∗+Rb. Overall rates for broadening and shift are compared with a theory based on the ``free-electron'' model. The observed oscillations are inconsistent with theories based on the resonance scattering of the Rydberg electron by the perturbing atom. A possible alternative mechanism related to interference in l-mixing collisions is suggested.