The Wigner--Seitz cell of a lattice point consists of points at least as close to it as to every other lattice point. Its faces lie on perpendicular bisectors to neighbouring lattice points.
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The concept of the reciprocal lattice is fundamental in the field of solid-state physics and crystallography. It is a mathematical construct that helps in the analysis of wave phenomena in periodic structures, such as crystals. ### Definition: The reciprocal lattice is defined as a lattice in reciprocal space (momentum space), which is constructed from a given real space lattice (direct lattice). Each point in the reciprocal lattice corresponds to a unique set of wave vectors (k-vectors) associated with the periodic structure of the crystal.