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. Impro
vements to the experimental setup are presently being designed, to be used
in conjunction with the new developments at ISOLDE for obtaining high charg
e-state ions from the EBIS (REX-ISOLDE) ion source. This will help pave the
way for measurements of magnetic moments of T = 3/2 nuclei in the s-d shel
l and of T = 1/2 f-shell nuclei. The study of relaxation times and other so
lid-state phenomena in semiconductors and other materials of interest using
this technique is also contemplated.