Hey, I had a question about this exercise. For this question you needed to sketch the reciprocal lattice and the first Brillouin zone. I didn’t know how to sketch it and in the answer (you can find in the picture) they don’t sketch anything.
Question: Can you make the sketch that was needed in this question?
Sorry that the sketch is a bit crude, but this is sufficient to be a complete answer:
This is fully described in the answer model. The reciprocal lattice is rectangular, so the first Brillouin zone is simply a cuboid. The limits are
-\frac{\pi}{2a}\le k_x,k_y\le \frac{\pi}{2a},
\qquad
-\frac{\pi}{a}\le k_z\le \frac{\pi}{a}.
So compared with a cube, it is twice as tall in the k_z direction as in the k_x and k_y directions.
1 Like
A post was merged into an existing topic: Minitest 3 results