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Lecture 15 Fermi-Dirac Distribution - MIT OpenCourseWare

Lecture 15 Fermi-Dirac Distribution Today: 1. fermi energy, and momentum, DOS. 2. Statistics of gases. 3. Fermi-Dirac Distribution . Questions you should be able to answer by the end of today s Lecture : 1. What are the basic steps used to derive the Fermi-Dirac Distribution ? 2. Where did the Fermionic properties of the electrons enter in the derivation? 3. What is the physical significance of the fermi energy and fermi k-vector? 4. How does the position of fermi level with respect to band structure determine the materials electron transport properties? 1 We are now going to introduce N electrons into the system at T=0 and are going to ask what states are these electrons going to occupy?

The partition function : Z: is related to the Helmholtz free energy of the system through: F ...

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