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Manfra30-2011

# Manfra30-2011 - Physics 342 Lecture 32 More Electronic...

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1 Physics 342 Lecture 32 Physics 342 Lecture 32 More Electronic Properties in Metals More Electronic Properties in Metals Our presentation is not following the exact order in the textbook. So we have to be flexible with the problem sets. Everything for the remaining lectures is covered in Chapters 10, 11 some of chapter 9

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2 Heat Capacity of Electron Gas Heat Capacity of Electron Gas By definition, the heat capacity (at constant volume) of the electron gas is given by V dU C dT = where U is the total energy of the gas. For a gas of N electrons, each with average energy <E>, the total energy is given by U N E =
3 Heat Capacity of Electron Gas Heat Capacity of Electron Gas Total energy 0 3/ 2 3/ 2 2 0 ( )/ 1 ( ) 8 2 F E E kT U N E E n E dE m E dE V h e π - = = + = In general, this integral must be done numerically. However, for T << T F , we can use a reasonable approximation.

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4 Heat Capacity of Electron Gas Heat Capacity of Electron Gas At T= 0 , the total energy of the electron gas is
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Manfra30-2011 - Physics 342 Lecture 32 More Electronic...

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