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In this lesson, we will learn how to find the density of a free electron model and electron quantum states of metals and define metals' Fermi energy and temperature.

Q1:

In the free electron model of metals.

What is the percentage change in the energy between the π = π = π = 4 π₯ π¦ π§ state and the state with the next higher energy?

What is the percentage change in the energy between the π = π = π = 4 0 0 π₯ π¦ π§ state and the state with the next higher energy?

Q2:

A cube of copper has edges 1.50 mm long. Calculate the number of electron quantum states in this cube whose energies are in the range 3.75 eV to 3.77 eV.

Q3:

Copper at π = 0 K has a conduction band electron density of 8 . 4 7 Γ 1 0 2 8 m^{β3}.

What is the Fermi energy of the copper?

What is the Fermi temperature of the copper?

Q4:

What is the ratio of the density of states for electrons at 2.7 eV and at 0.27 eV?

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