manfra29-2011

manfra29-2011 - Physics 342 Lecture 29 Band Theory of...

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1 Physics 342 Lecture 29 Physics 342 Lecture 29 Band Theory of Electronic Structure Band Theory of Electronic Structure in Solids in Solids Read the end of Chapter 10: as we discuss metals Read Chapter 11: as we will be discussing a lot about semiconductors
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2 Free Electron Gas in Metals Free Electron Gas in Metals Solid metals are bonded by the metallic bond One or two of the valence electrons from each atom are free to move throughout the solid All atoms share all the electrons. A metal is a lattice of positive ions immersed in a gas of electrons. The binding between the electrons and the lattice is what holds the solid together
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3 Free Electron Gas in Metals Free Electron Gas in Metals Since we are dealing with fermions, the electron gas obeys Fermi-Dirac statistics. The number of electrons with energy in the range E to E+dE is given by ( ) ( ) ( ) n E dE f E g E dE = where, the density of states g ( E ) is given by 2 3 4 ( ) V p dp g E dE W h π =
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4 Free Electron Gas in Metals Free Electron Gas in Metals The electron has two spin states, so W = 2 . If the electron’s speed << c, we can take its
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This note was uploaded on 04/23/2011 for the course PHYS 342 taught by Professor Staff during the Spring '08 term at Purdue.

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manfra29-2011 - Physics 342 Lecture 29 Band Theory of...

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