9780030839931, Chapter 29, Problem 3P

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Chapter 29, Problem 3P Problem Einstein Relations in the Degenerate Case When dealing with degenerate inhomogeneous semiconductors one must generalize the equilibrium carrier densities (29.3) to (29.61) Where and are the carrier dessities of the homogeneous semiconductor as a function of chemical potential. (a) Show that the expression (29.9) for and the interpretation that precedes it continue to follow directly from (29.61). (b) Show by a slight generalization of the argument on page 602 that (29.62) (c) In an innomogeneous semicondur, not in equilibrium, with carrier densities nc(x) and and pc(x), one sometimes defines electron and hole quasichemical potentials ue(x) and uh(x) by requiring the carrier densities to have the equilibrium from (29.61); - + = + (29.63) Show that, as a consequence of the Einstein relations (29.62), the total drift plus diffusion currents are just (29.64) Note that these have the form of pure drift currents in an electrostatic potential = Step-by-step solution There is no solution to this problem yet. Get help from a Chegg subject expert. Ask an expert