96-09U

In framework of the electron-nuclear model a successive method of the electron subsystem partition function calculation for simple metals is proposed. On the first step the effective electron-ion model statistical operator with non-local many-particle interaction is calculated. It is proved the impossibility to obtain semi-phenomenological Hamiltonians of the electron-ion model, which are so widely used in the present metal theory. The non-local pair electron-ion interaction potentials are investigated.