Intrinsic discrete nature in thermodynamic properties of Fermi gases appearsunder strongly confined and degenerate conditions. For a rectangularconfinement domain, thermodynamic properties of an ideal Fermi gas areexpressed in their exact summation forms. For 1D, 2D and 3D nano domains,variations of both number of particles and internal energy per particle withchemical potential are examined. It is shown that their relation with chemicalpotential exhibits a discrete nature which allows them to take only somedefinite values. Furthermore, quasi-irregular oscillatory-like sharp peaks areobserved in heat capacity. New nano devices can be developed based on thesebehaviors.
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