(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] kittel problem 7.1

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

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 isata 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 electronwhose k-vector isat the corner of the first (I assume Brillioun is missing) zone is higher than that of an electronwhose k-vector isat the midpoint of a side face of the zone by a factor of 2."

?

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Kittel problem 7.1

**Physics Forums | Science Articles, Homework Help, Discussion**