This paper reports preliminary measurements on the properties of cryog
enic sapphire resonators with various concentrations of paramagnetic i
mpurities. These resonators have been mounted in both copper and niobi
um shields. We have found that we can achieve extrema in the frequency
-temperature function in the temperature range 5-18 K due to the compe
nsating effects of the dielectric constant temperature dependence and
the Curie law dependence of the susceptibility of the paramagnetic imp
urities. In sapphire samples with dominant impurities Cr3+ and Fe3+, w
e find strong influences on the mode frequency when we are near the el
ectron spin resonances (ESR) at 11.45 GHz and 12.04 GHz, respectively,
and no extrema occurs when we are above the ESR frequency. In samples
where dominant paramagnetic impurity has a high ESR we get an essenti
ally frequency independent frequency-temperature compensation. In thes
e samples we have observed unloaded resonator Q factors as high as 4 x
10(9). The increased Q factors coupled with reduced shield interactio
ns should result in an improvement in frequency stability for an oscil
lator based around this resonator as compared to the best results achi
eved to date at this laboratory (an Allan Variance of 9 x 10(-15)). We
report the preliminary measurement of the tilt sensitivity of our osc
illator to be a fractional frequency shift of 6.5 x 10(-12) per degree
.