A Theoretical Treatment of the Excess Energies of Binary Metallic Solutions

概要

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A simplified theoretical treatment of the excess energy of a binary metallic solution, which is based upon a principle of the cellular approximation, is presented. The average size of the atomic polyhedron of a metallic solution, corresponding to the boundary correction of the metallic state, is determined under the condition of a minimum of the total energy of the system. This calculation contains many factors such as the effects of the lowest energy of the valence electrons, the Fermi energy, the interelectronic energy, the ion-core repulsive energy, the van der Waals energy etc. As the purpose of any theory of metallic solutions is to predict the excess quantities from the knowledge of the properties of the pure components, a semi-empirical expression determined only from the quantities of the pure metals is employed in some parts for the estimation of the above factors quantitatively. The present calculation is free from the classical elasticity theory which has been used in the theories of solid solutions, some difficulties having been pointed out. Furthermore, the energetic asymmetry of most metallic solutions can qualitatively or quantitatively be explained by the present treatment.
社団法人日本物理学会の論文
1959-11-05