Neutron separation energies at N=83 and the isomer position in 136I

New experimental total β-decay energies of 135,136Te and of the two isomers of 136I have been obtained, giving much improved accuracy for the nuclear masses of these nuclides. The neutron separation energies at N=83 were deduced and are compared to recent theoretical and systematic predictions. The new results resolve the problem with the excitation energy of the isomeric state of 136I. Theoretical calculations of the isomer splitting of 136I are in good agreement with the new data.