06 - Fermi-Dirac Statistics

# 06 - Fermi-Dirac Statistics - EECS 320 Fermi-Dirac...

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EECS 320 Fermi-Dirac Statistics J. Phillips EECS 320 Statistical Mechanics Consider a system with a large number of particles Example: gas in a container Pressure in container due to collisions of gas molecules with wall of container Q: Do we care about each individual collision? A: No, use statistical behavior of group as a whole.

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J. Phillips EECS 320 Statistical Laws Need to define laws that the particles obey Some common distribution laws: particles distinguishable by number, no limit on number of particles in each energy state Maxwell Boltzmann: Bose-Einstein: particles are indistinguishable, no limit on number of particles in each energy state Fermi-Dirac: particles are indistinguishable, only one particle in each energy state Which would you expect to apply for electrons in a semiconductor? J. Phillips EECS 320 Fermi-Dirac Probability Function In a semiconductor, one electron per state (Pauli Exclusion Principle) Number of ways to arrange particles in states () ( ) () () ! ! 1
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## This note was uploaded on 01/31/2011 for the course EECS 320 taught by Professor Philips during the Spring '06 term at University of Michigan.

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06 - Fermi-Dirac Statistics - EECS 320 Fermi-Dirac...

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