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Rydberg States are used in our One Atom Maser experiment because they offer alarge dipole moment and couple strongly to low numbers of microwave photons ina high Q cavity. Here we report the absolute frequencies of the P$_{3/2}$states for principal quantum numbers $n=36$ to $n=63$. These measurements weremade with a three step laser excitation scheme. A wavemeter was calibratedagainst a frequency comb to provide accurate absolute frequency measurementsover the entire range, reducing the measurement uncertainty to 1MHz. We comparethe spectroscopic results with known frequency measurements as a test ofmeasurement accuracy.

Precision measurements of quantum defects in the $n$P$_{3/2}$ Rydberg States of ${}^{85}$Rb