Question

Sketch and label the first three Brillouin zones of a square lattice. Show how the areas in the second Brillouin zone translate into the first Brillouin zone. Use proper reciprocal lattice translation vectors (e.g., ?⃗).

Answer 1

We can solve given problem by using primitive translation vector and it's reciprocal vectors.

And then using bragg's law we find the condition for brillouin zones.