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The $1\mathrm{s}n\mathrm{p}\,^3\mathrm{P}_J$ fine structure of high Rydbergstates in helium has been measured by microwave spectroscopy of single-photontransitions from $1\mathrm{s}n\mathrm{s}\,^3\mathrm{S}_1$ levels in pulsedsupersonic beams. For states with principal quantum numbers in the range from$n=34$ to 36, the $J = 0 \rightarrow 2$ and $J = 1 \rightarrow 2$ finestructure intervals were both observed. For values of $n$ between 45 and 51only the larger $J = 0 \rightarrow 2$ interval was resolved. The experimentalresults are in good agreement with theoretical predictions. Detailedcharacterization of residual uncancelled electric and magnetic fields in theexperimental apparatus, and calculations of the Stark and Zeeman structures ofthe Rydberg states in weak fields, were used to quantify systematiccontributions to the uncertainties in the measurements.

Microwave spectroscopy of the $1\mathrm{s}n\mathrm{p}\,^3\mathrm{P}_J$ fine structure of high Rydberg states in $^4$He