Question

2. Rectangular lattice Brillouin zones: Consider a rectangular Inttice with lattice constants and
b = 2n.
(a) Draw the reciprocal Inttice. Bo sure to mark the edge lengths.
(b) Draw the first three Brillouin zones.
(c) For cach fragment of the second Brillouin zone, determine the translation vector that brings it
back into the first Brillouin zone. In other words, if k is in a certain fragment of the second
Brillouin vonc, k+ T should be in the first Brillouin zone. Determine the vector T for each
fragment. Which I's are reciprocal lattice vectors?​

Answer 1

Answer:

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