Question

And show that the reciprocal lattice of face-centered cubic lattice is body-centered cubic lattice. Briefly explain how the unit vectors you obtained describe a body-centered cubic lattice.

Answer 1

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Answer 2

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The reciprocal lattice plays a very fundamental role in most analytic studies of periodic structures, particularly in the theory of diffraction. In neutron and X-ray diffraction, due to the Laue conditions, the momentum difference between incoming and diffracted X-rays of a crystal is a reciprocal lattice vector. The diffraction pattern of a crystal can be used to determine the reciprocal vectors of the lattice. Using this process, one can infer the atomic arrangement of a crystal.