513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
of Elements

      

Chemical potential of a metal

The chemical potential of a metal is weakly temperature dependent so it can be estimated by calculating the Fermi energy. A monovalent metal has a bcc lattice and a lattice constant of a = 0.1 nm. Derive the expression for the Fermi energy using the free electron model and use it to estimate the chemical potential in this case.