Question: Potential energy in the diamond structure (a) Show that for the diamond structure the Fourier component UG of the crystal potential seen by an electron

Potential energy in the diamond structure

(a) Show that for the diamond structure the Fourier component UG of 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.

(b) Show that in the usual first-order approximation to the solutions of the wave equation in a periodic lattice the energy gap vanishes at the zone boundary plane normal to the end of time vector A.

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a There are two atoms in the basis and we label them ... View full answer

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