We present the results of experiments demonstrating the spectroscopic
detection of F\"{o}rster resonance energy transfer from NH3 in the
X1A1 ground electronic state to helium atoms in 1sns\,3S1 Rydberg
levels, where n=37 and n=40. For these values of n the
1sns\,3S1→1snp\,3PJ transitions in helium lie close
to resonance with the ground-state inversion transitions in NH3, and can be
tuned through resonance using electric fields of less than 10~V/cm. In the
experiments, energy transfer was detected by direct state-selective electric
field ionization of the 3S1 and 3PJ Rydberg levels, and by
monitoring the population of the 3DJ levels following pulsed microwave
transfer from the 3PJ levels. Detection by microwave spectroscopic
methods represents a highly state selective, low-background approach to probing
the collisional energy transfer process and the environment in which the
atom-molecule interactions occur. The experimentally observed electric-field
dependence of the resonant energy transfer process, probed both by direct
electric field ionization and by microwave transfer, agrees well with the
results of calculations preformed using a simple theoretical model of the
energy transfer process. For measurements performed in zero electric field with
atoms prepared in the 1s40s\,3S1 level the transition from a regime in
which a single energy transfer channel can be isolated for detection to one in
which multiple collision channels begin to play a role has been identified as
the NH3 density was increased.Comment: 10 pages, 8 figure