Paramagnetic impurities present in sapphire dielectric microwave reson
ators can provide frequency-temperature compensation at liquid-helium
temperatures. We demonstrate a method for 'tuning' this frequency-temp
erature compensation by applying a uniform magnetic field parallel to
the resonator axis, which induces Zeeman splitting of the electron par
amagnetic resonances. This was shown for a mode at 11.84 GHz, which li
es between the Cr3+ and Fe3+ electron paramagnetic resonances present
in a resonator cut from Union Carbide sapphire. However, the apparent
frequency dependence of the Ca3+:alpha-Al2O3 and Fe3+:alpha-Al2O3 para
magnetic susceptibilities in this dilute paramagnetic system did not o
bey the expected theory.