Question

Obtain the expressions for the Fermi energy, the total energy and density of states for a free electron gas in one dimensional. How does Fermi energy of a metal depend on temperature, concentration of electron and total number of electrons present in metal? Show the variation of DOS with energy. The atomic radius of sodium atom is 1.64Å. Determine the Fermi energy of sodium at 0K.​

Answer 1

Answer:

Describe the classical 

free electron model

 of metals in terms of the concept 

electron number density

Explain the quantum free-electron model of metals in terms of Pauli’s exclusion principle

Calculate the 

energy levels

 and energy-level spacing of a free electron in a metal

Explanation:

your answer