- #1
ehrenfest
- 2,001
- 1
[SOLVED] kittel problem 7.1
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 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."
?
