Pt-195 nuclear-magnetic-resonance measurements were performed on align
ed single-crystal whiskers of UPt3 for temperatures from 4 to 50 K. A
special alignment technique allows us to produce samples with very goo
d c-axis alignment and to work with the field parallel to the c axis w
ith an excellent signal-to-noise ratio. Combining the Knight shift and
spin-lattice-relaxation data, we show a continuous cross-over from pa
ramagnetic behavior above 40 K toward a degenerate-Fermi-liquid behavi
or below 5 K. Antiferromagnetic spin fluctuations appear to be respons
ible for this crossover process, and dominate all low-frequency magnet
ic properties of this compound. The anisotropy ratios of both the spin
-lattice and the spin-spin relaxation rates are found to be temperatur
e independent. Analyzing these ratios we find that the imaginary part
of the dynamic spin susceptibility is slightly stronger in the basal p
lane.