  Shell model studies have been done for very neutron - rich nuclei in the
range Z=50-55 and N=82-87. Good agreement of the theoretical level spectra with
the experimental one for N=82, 83 I and Te nuclei is shown. Then the results
for three very neutron-rich nuclei 137Sn and 136-137Sb have been presented. The
present calculation favour a 2- ground state for 136Sb instead of 1- identified
through beta decay.Interesting observation about the E2 effective charges for
this region has been discussed.
