15. Nearly Free Electron Model

SOLVED: (a) Describe the nearly free electron model: Using the nearly free electron model, schematically show how the energy dispersion relation gives rise to the band gap. Explain the origin of the band gap. h^2k^2(b) The central equation is given by (Ak e)ck EGVaCk-G 0; where Ak G is the Zm reciprocal lattice vector; Ck are coefficients and VG is the Fourier component of the potential. Consider an ID lattice with potential V(x) = 2Vcos(x). Assume that V(x) has only a single Fourier component d

SOLVED:Describe the nearly free electron model for determining the electron energy bands in metal and show that the model leads to finite discontinuities in energy at the zone boundaries.

SOLVED: The free electron model: Consider a free electron gas in three dimensions, taking account of quantum theory and of the Pauli principle.Show that in volume of a sphere of radius k, the number of orbitals is V N = k3 3T2Hint: Use the density of States of free electron three Dimensions to solve the given question (2m 3/2 D(e) 21t2 h2

PPT - Quantum Free Electron Model PowerPoint Presentation, free download - ID:4017766

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