We report here on an ongoing experimental program initiated at the ISOLDE f
acility at CERN for the measurement of magnetic moments of short-lived radi
onuclides, with the emphasis on magnetic moments of mirror nuclei in far-fr
om-stability regions. The nuclei are polarized by the tilted foil technique
and the resulting 0-180 degrees beta asymmetry is monitored as a function
of rf frequency applied in an NMR setup. In order to achieve sufficiently h
igh energy for transmission through the foils, the experimental setup is mo
unted on a high voltage platform. The first experiment in this program was
the measurement of the beta asymmetry and the NMR resonance for the ground
state of Mg-23 (I=3/2, T-1/2=11.3 s), yielding mu=-0.533(6) nm. Improvement
s to the experimental setup are presently being designed, to be used in con
junction with the new developments at ISOLDE for obtaining high charge-stat
e ions from the EBIS (REX-ISOLDE) ion source. This will help pave the way f
or measurements of magnetic moments of T=3/2 nuclei in the s-d shell and of
T=1/2 f-shell nuclei. The study of relaxation times and other solid-state
phenomena in semiconductors and other materials of interest using this tech
nique is also contemplated.