Abstract
To calculate integrals of the type K(E) = fdSKF(R)~(E -E(K)), Gilat and Raubenheimer [i] proposed a simple and effective method. The idea is to divide the irreducible part of the Brillouin zone into elementary cells in each of which a linear interpolation is used for the functions F(K), E(K), which makes it possible to carry out the integration over each cell analytically. In earlier papers, cubes, or, more generally parallelepipeds, were selected as the cells. With such a choice, the integral over the cell is expressed in terms of the values of the functions F(K), E(K) at its corners and of VKE(K) in the center of the cell. The Gilat--Rauhenheimer method was also applied to the calculation of integrals of the type
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