(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I feel like I have a pretty good conceptual understanding of the origin of band theory, but these two problems were totally above my head.

Kittel Ch7 #2

Consider the free electron bands of an fcc crystal lattice in the approximation of an empty lattice, but in the reduced zone scheme in which allk'sare transformed to lie in the first Brillouin zone. Plot roughly in the [111] direction the energies of all bands up to six times the lowest band energy at the zone boundary atk=2[tex]\pi[/tex]/a(1/2,1/2,1/2). Let this be the unit of energy. This problem shows why band edges need not necessarily be at the zone center. Several degeneracies will be removed when account is taken of the crystal potential.

2. Relevant equations

Wish I knew.

3. The attempt at a solution

Like I said, totally baffled.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Band Theory of Solids, Kittel CH 7

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