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Semiconductors Class 12 Physics Chapter 14 | JEE Main Important Topics | JEE Exam Preparations

SOLVED:Fermi Surface in the Free Electron (Sommerfeld) Theory of Metals (a) Explain what is meant by the Fermi energy, Fermi temperature and the Fermi surface of a metal. (b) Obtain an expression for the Fermi wavevector and the Fermi energy for a gas of electrons (in 3D). D Show that the density of states at the Fermi surface, d N / d EF can be written as 3 N / 2 EF. (c) Estimate the value of EF for sodium [The density of sodium atoms is roughly 1 gram/cm ^3, and sodium has atomic mass of rough

Write down the main characteristics of Fermi surface.Discuss ... | Filo

Assume that the Fermi surface is spherical, show that the condu... | Filo

Thermodynamics of the Fermi surface. a) Show that the mean energy of each electron in a 3 D free electron system at T=0 is (3)/(5) EF. Hence or otherwise show that the bulk modulus Bm of such an electron system is given by Bm=-𝒱((∂P)/(∂𝒱))N=(2)/(3) n EF where all the symbols have the same meaning as in Exercise 1.1. (Hint: remember that d U=T  d S- P  d 𝒱.) b) Substitute values of n and EF for copper (see Question 1) into your expression for Bm and compare with the actual bulk modulus of the