THE RELATION BETWEEN THE MACROPROPERTIES OF ELECTRON GAS AND ITS DIMENSIONALITY

In this paper, taking the electron gas in metal for example, we have considered the electron gas in metal as high degenerate Fermi gas, and applied Fermi-Dirac distribution to it. Starting with the analysis of the energy state, we have derived its energy state density, Fermi energy and chemical potential. We have also discussed in detail the specific heat, Pauling paramagnetism, Landau antimagnetism and conductivity of electron gas in one to three dimensions. Meanwhile, we have summarized the general calculation formula for susceptibility, electronic conductivity, thermal conductivity and the Loreutz number. From these, we can see the effects of dimensionality on the properties.