Abstract

An electronic excess energy or the difference in electronic energy between the homogeneous metallic solution and one with a composition modulation is calculated by means of the Hohenberg-Kohn formula for the ground-state energy of a nonuniform electron-gas system. Such an electronic excess energy increases as the modulation wavelength decreases and may or may not have a maximum, depending on the system. An effective-gradient-energy coefficient is shown to decrease as the wavelength decreases. This is related to an observation that electron distribution is rather flattened compared with the distribution of positive charges when the wavelength is sufficiently short.

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