513.001 Molecular and Solid State Physics

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Find the reciprocal lattice of a tetragonal crystal

(a) Determine the reciprocal lattice of a tetragonal crystal a = b = 5 Å, c = 8 Å.

(b) Make a sketch to illustrate the unit cell in the real space and the first Brillouin zone in reciprocal space. Specify the lengths of the sides of the Brillouin zone. Label the directions in real space and reciprocal space.