New calculations are presented for Gamow-Teller beta decay of nuclei near 'Sn. Essentially all of the Sn Gamow-Teller decay strength is predicted to go to a single state at an excitation energy of 1.8 MeV inIn. The first calculations are presented for the decays of neighboring odd-even and odd-odd nuclei which show, in contrast to ' Sn, surprisingly complex and broad Gamow-Teller strength distributions. The results are compared to existing experimental data and the resulting hindrance factors are discussed.PACS number(s): 21.10. Pc, 21.60.Cs, 23.40.Hc, 27.60.+j One of the primary new directions in nuclear spectroscopy is in the experimental study and theoretical understanding of nuclei near the limits of particle stability. The heaviest nucleus with an equal number of protons and neutrons predicted to be stable is Sn, and experiments are being planned and carried out at several laboratories to produce and study the decay of this nucleus [1] and others [2,3] in this mass . "egion. One of the most interesting aspects of these proton-rich nuclei is that most of the giant Gamow-Teller resonance lies within the beta-decay Q-value window. We report here on new calculations which show some of the unusual features which one may expect to see in these decays, the special problems associated with their experimental detection and the important nuclear structure information that will be obtained.Our model space, which is similar to that of a number of other calculations [4 -7], is designed for nuclei with Z~50 and ¹~50and starts from a closed-shell configuration for