Lecture24_MS3

# Lecture24_MS3 - 1 2 Recap Free Electron Gas in Metals The...

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Unformatted text preview: 1 2 Recap Free Electron Gas in Metals The Einstein Model of a Solid Summary 3 The number of particles (here electrons) with energy in the small interval E to E + dE is given by where, g ( E ) dE = W V 4 π p 2 dp h 3 E + dE E is the number of states in that interval and f ( E ) is the probability that these states are occupied. 4 The electron has two spin states, so W = 2 . Assuming the electron’s speed << c, we can take its energy to be in which case the number of states in the interval E to E + dE is given by 5 6 The number of electrons in the interval E to E + dE is therefore The first term is the Fermi-Dirac distribution and the second is the number of states g ( E ) dE . The function g ( E ) is called the density of states . 7 From n ( E ) dE we can calculate many characteristics of the electron gas. Here are a few: The Fermi energy – the maximum energy level, E F , occupied by the free electrons at absolute zero....
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Lecture24_MS3 - 1 2 Recap Free Electron Gas in Metals The...

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