I read one paper about Brillouin Zones that said they are a significant feature of crystal structures and their constructing for a two dimensional lattice is easier than in a three dimensional lattices. with two dimensional square lattice, Brillouin Zones constructed from the perpendicular bisectors of the vectors joining a reciprocal lattice point to neighbouring lattice point. Below two pictures show the construction of first and second Brillouin Zones
Bravais lattice of a crystal may look easy to determine, but it's an important characteristic of crystal structures. Bravais lattice shows the periodic array of the crystalline matter on the microscopic level.
ReplyDeleteIt is the same method as finding the Wigner-Seitz cell in Bravais lattice but the importance of the Brillouin Zones is they can be characterized by their behavior in a single Brillouin Zones.
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