Topic 2 Free electron model

Question 1

Show that the Fermi velocity vF of conduction electrons in terms of electron
density n is given by the expression vF = ħ(3π^2n)^1/3/m, where m is electron mass.

Answer 1

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Question 2

Fermi surface

Answer 2

Fermi surface is a spherical surface in k-space, representing the most energetic electron states.
Outside the sphere, all the electron states are fully occupied at T=0