513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
of Elements

      

Sommerfeld expansion

Sommerfeld showed that for metals, only the states near the Fermi surface contribute to most observable quantities. He used the following expansion for integrals involving the Fermi function f(E).

This is known as the Sommerfeld expansion. Here the relationship between H(E) and K(E) is,

The density of states for a free electron gas in two dimensions is,

What is the heat capacity for a free electron gas in two dimensions?