Question: (a) Show that for the diamond structure the Fourier component Ug if the crystal potential seen by an electron is equal to zero for G=2A,

(a) Show that for the diamond structure the Fourier component Ug if the crystal potential seen by an electron is equal to zero for G=2A, where A is a basis vector in the reciprocal lattice referred to the conventional cubic cell. (a) Show that in the usual first-order approximation to solutions of the wave equation in a periodic lattice the energy gap vanishes at the zone boundary plane normal to the end of the vector A.

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