On the Diamagnetism of Electrons in Metals

In the following, it is proposed to calculate the induced diamagnetic moment due to the free electrons in a metal, using, instead of the classical assumptions of elastic collisions, the recently developed wave-nature of the electron and the Fermi statistics. The problem resolves itself into three parts: to find (1) the ψ functions for an electron in a lattice for the case of small perturbations by the atoms of the lattice, (2) the induced magnetic moment derived from the ψ functions and its dependence on the energy, (3) the total induced magnetic moment, which will then be obtained by applying the statistics for a degenerate system