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Lecture_29 - PHYS 342 Fall Fall 2011 Lecture 29 The Free...

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PHYS 342 Fall 2011 Lecture 29: The Free Electron Model Ron Reifenberger Birck Nanotechnology Center Purdue University Lecture 29 1
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The Problem – How to Approximate the Periodic Atomic Potential? a a a +Ze +Ze +Ze +Ze 2
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The Free Electron Model Initially proposed by Drude - 1900 The deep electrostatic potential near an atom’s nucleus “on average” The deep electrostatic potential near an atom s nucleus on average is canceled out by the core electrons to produce a slowly varying potential between the atomic cores. A crude first approximation is a potential well with a flat bottom: ( ) ? U(r) potential well with a flat bottom Free electron model ? ? ? ? r Developed to explain some of the common distinguishing properties of metals: high thermal conductivity 3 good electrical conductivity low specific heats
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