513.001 Molecular and Solid State Physics

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Physical
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Periodic System
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Reciprocal lattice of fcc

The relation between real space lattice vectors ai and reciprocal space lattice vectors bj is ai·bj = 2πδij. Calculate the reciprocal lattice vectors for a fcc Bravais lattice. The equivalent of the Wigner-Seitz cell in reiciprocal space is called the first Brillouin zone. What is the longest possible vector in reciprocal space from the origin to the boundary of the first Brillouin zone?