Spectroscopy of nuclei far from stability

Spherical and deformed shell energies are calculated for both the simple harmonic oscillator and the modified harmonic oscillator. When these shell effects are added to pairing and liquid drop energies, total energies are produced which suggest special stabilities for a number of nuclear regions far from the line of beta stability. The regions discussed are spherical closed shells with emphasis on /sup 132/Sn, new regions of nuclear deformation with emphasis on the neutron deficient Ra's and Th's, /sup 80/Zr, /sup 104/Zr, /sup 202/Rn, and /sup 232/Rn, and coexistence with emphasis on the neutron deficient Gd's, the neutron deficient Ir's and especially the neutron deficient Hg's. The spectroscopy of very high spin states is briefly discussed in terms of decoupled bands, backbending up to spins of approximately 24/sup +/ and of continuum gamma rays depopulating much higher spin states. Calculations relating the very high spin states to nuclear shapes are also presented. (48 refs).