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Kittel problem 7.1

  • Thread starter ehrenfest
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[SOLVED] kittel problem 7.1

Homework Statement


This question relates to Kittel's solid-state physics book. I have the 8th edition.

In this question, he says:

"Show for a simple square lattice (two dimensions) that the kinetic energy of a free electron at a corner of the first (I assume Brillioun is missing) zone is higher than that of an electron at the midpoint of a side face of the zone by a factor of 2."

But I thought you only discussed Brillioun zones in relation to k-space, not real space? It makes absolutely no sense to me to say that an electron is at a location in the first Brillioun.

Should this question really be:

"Show for a simple square lattice (two dimensions) that the kinetic energy of a free electron whose k-vector is at the corner of the first (I assume Brillioun is missing) zone is higher than that of an electron whose k-vector is at the midpoint of a side face of the zone by a factor of 2."

?

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
malawi_glenn
Science Advisor
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Yes the question is to be understood that way :-)
 

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