We have observed microwave spectra of the inert gas diatomic ions He2, HeAr+, HeKr+ and NeAr+. The spectra arise from transitions between l
evels which are within a few cm-1 of the lowest dissociation limit. We
use mass-selected ion beams which pass first through a waveguide cell
, and then through an electric field lens in which selective fragmenta
tion of weakly bound levels occurs. Fragment ions produced in the lens
are separated by an electrostatic analyser and detected; spectra are
observed by measuring changes in the fragment ion currents. The result
s are discussed in terms of a theoretical model which relates the high
-lying vibration-rotation levels of the diatomic ions to their atomic
dissociation limits.