reciprocal space

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A theoretical space used in the mathematical analysis of crystals in which there is a lattice called the reciprocal lattice. If the primitive translation vectors of the real (direct) lattice are a, b, c the primitive translation vectors a′, b′, c′ of the reciprocal lattice are defined by a′ = b×c, b′ = c×a, c′ = a×b. This definition means that every plane in a real lattice becomes a point in the reciprocal lattice. The concept of reciprocal space is very useful in X-ray crystallography and energy-band theory.

Subjects: Physics.

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