24_562ln08 - MIT OpenCourseWare http:/ocw.mit.edu 5.62...

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MIT OpenCourseWare http://ocw.mit.edu 5.62 Physical Chemistry II Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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5.62 Spring 2008 Lecture #24 Page 1 Free Electron Theory of a Metal Readings: Hill, pp. 441-444 We know how to think about the electronic structure of a molecule — we know the orbitals, their energies, their occupancies — but with a metal, which we treat as one giant molecule of N atoms, how do we handle the large number of orbitals and electrons? Need to invent new ideas like the density of electronic states which is # of states/unit quantum number or # of states/unit energy. FREE ELECTRON MODEL Many metals (Na, K, Rb, Li, Au, Ag, Cu) have one unpaired s electron per atom that acts “free.” The interaction with the ion core and other electrons is sufficiently weak to justify building a model in which these interactions are ignored. The potential energy is zero everywhere except potential at the ends of the box. Equation of motion for particle in a box
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This note was uploaded on 11/27/2011 for the course CHEM 5.43 taught by Professor Timothyf.jamison during the Spring '07 term at MIT.

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24_562ln08 - MIT OpenCourseWare http:/ocw.mit.edu 5.62...

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