Collinear laser spectroscopy experiments in the LuI transition 5d6s(2) D-3/
2 --> 5d6s6p D-2(3/2) were performed on all lutetium isotopes in the range
of Lu161-179. The nuclear spins, magnetic moments and quadrupole moments we
re determined from the hyperfine structures observed for 19 ground states a
nd 11 isomers. Variations in the mean square charge radii as a function of
neutron number were obtained from the isotope shifts. These data considerab
ly extend the systematics of the properties of nuclei in the upper rare-ear
th region. A particular feature is the appearance of high-spin and low-spin
ground states and isomeric states in the vicinity of the stable Lu-175, pa
rtly arising from aligned neutron pairs. The results clearly show that the
deformation properties are nearly independent of the occupancy and the coup
ling of single-particle states. Theoretical predictions of deformation are
confirmed in a consistent description of the measured radii and quadrupole
moments. For all observed states, the spins and magnetic moments allow the
assignment of rather pure Nilsson configurations.