The neutron-rich nuclei, Co-66, Co-68, and Co-70 were produced using a lase
r-ionization isotope-separation on-line method. The resulting beta-delayed
gamma decay was studied. The half-life of Co-66 is measured to be 0.18(1) s
. Two beta-decaying states are identified in Co-68 With half-lives of 0.23(
3) and 1.6(3) s. In addition, two beta-decaying states are observed in Co-7
0 With half-lives of 0.12(3) and 0.50(18) s. From the beta decay of these s
tates in Co-66,Co-68,Co-70, many new excited levels are established in Ni-6
6, Ni-68, and Ni-70. These results are compared to the valence mirror nucle
i in the N=50 region as well as with shell-model calculations. It can be co
ncluded that collective excitations appear to play an increasingly importan
t role with increasing occupation of the nu g(9/2), orbital.