(a) How does the energy of electrons depend on the wavenumber in the free electron theory? Include a drawing of the energy dispersion relation of electrons to illustrate your answer. (b) Illustrate using a sketch, what happens to the form of the energy dispersion relation for the Kronig-Penney model within the nearly free electron theory. (c) What is the Fermi energy and why is it important?

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(a) How does the energy of electrons depend on the wavenumber in
the free electron theory? Include a drawing of the energy
dispersion relation of electrons to illustrate your answer.
(b) Illustrate using a sketch, what happens to the form of the energy
dispersion relation for the Kronig-Penney model within the
nearly free electron theory.
(c) What is the Fermi energy and why is it important?
Transcribed Image Text:(a) How does the energy of electrons depend on the wavenumber in the free electron theory? Include a drawing of the energy dispersion relation of electrons to illustrate your answer. (b) Illustrate using a sketch, what happens to the form of the energy dispersion relation for the Kronig-Penney model within the nearly free electron theory. (c) What is the Fermi energy and why is it important?
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