1. Predict, from the shell model, the regions of the periodic table in which the first excited states of nuclei have particularly long lifetimes for γ decay.
2. A hyperfine splitting measurement tells you that the ground state spin of a nucleus is i = 3/2. What are the possible l values of the subshell occupied by the nucleon responsible for the spin? What other information would tell you which of these is the actual value? What could you measure to obtain this information?