Abstract

Summary The paper describes calculations of the exchange energy of an assembly of nearly free electrons of low density (§ 2). Two differing one-electron wave functions are used, given by relations (2.7) and (2.22), both concerning a nearly empty Brillouin zone. It is found in both cases that the total exchange energy is much less sensitive to changes of the effective mass of the electrons than is the Fermi energy. Previous related work is referred to (§ 1) and the bearing of the results on some physical properties of metals is indicated (§ 3).

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