Predictions of the mass surface near the doubly magic nuclide

Predictions of the mass surface of nuclei close to the doubly magic nuclide 78Ni are performed in this work. For this purpose two methods for determination of mass values near the doubly closed shell nuclide have been used. The first involves calculations within the framework of multiparticle shell model based on the proper average field potential and effective forces. The second one is based on the concept of magic crosses, which allows to obtain the mass values of odd-odd nuclei near 78Ni by using the similarities in practical orbit sequences and the equality of the proton-neutron interaction energies for some two-quasiparticle multiplets in the vicinities of similar known heavy magic nuclides. The value of the neutron and two-neutron separation energies as well as the β-decay energies of astrophysical interest near 78Ni are presented