Abstract
The purpose of the present paper is to show how the LCAO method, well-known in crystal physics, can be generalized to disordered structures. Using a quasi-crystalline approximation, we obtain an equation relating the total energy of an electron in the considered medium to its wave vector. This relation depends on the pair correlation function or the radial distribution function of the system and defines the electronic band structure of the material. The approach discussed in the second section, can also be generalized to include degeneracy of the atomic energy levels as well as atomic energy level interactions.
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