Treat sodium as a free-electron gas with .

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Free electrons, energy bands and electronic structure · Free electrons, energy bands and electronic structure

Solid State Physics, Ch The degenerate electron gas, finished

Problem

Treat sodium as a free-electron gas with EF=3.24 eVE_F=3.24\,\mathrm{eV}. ((a)) Find its Fermi temperature TFT_F. ((b)) Use the free-electron form of the chemical-potential shift to find μ(T)−EF\mu(T)-E_F at T=300 KT=300\,\mathrm{K}, in electronvolts, and say which way μ\mu moves.

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