THE VIRIAL-THEOREM AND SOME PROPERTIES OF ELECTRON-GAS IN METALS

The status of the virial theorem m classical and quantum mechanics is discussed and principal viral relationships is given. A model of Fermi electron ps in a metal is described involving the consequences of the virial theorem for a stable a of electrons and ions interacting accor ding to Coulomb's law. Within the frame of the model formulae have bee n obtained for the total energy and chemical potential of conduction e lectrons in undeformed and deformed metals. On this basis the equilibr ium concentration of electrons and ions, the electron work function in metal, the collectivized electron contribution to the elastic volume modulus have been estimated. It is shown that at non-unforme deformati on of a metalic body inside it an electric field proportional to the v olume deformation gradient arises as well as a volume charge compensat ed by the surface charge of the opposite sign.