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The lattice of wavevectors whose plane waves have the periodicity of a direct Bravais lattice. It organizes Fourier components, diffraction conditions, Brillouin zones, and crystal momentum modulo reciprocal vectors.
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The reciprocal lattice consists of wavevectors satisfying for every direct-lattice vector —equivalently in the stated convention—and canonically encodes the Bravais lattice’s Fourier periodicity.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-physics-reciprocal-latticewp-physics-bravais-latticetong-solid-state-physicsThis is an authored directed relation from the source endpoint to the target endpoint.
Fourier analysis on a direct Bravais lattice selects wavevectors satisfying for every lattice translation ; these permitted Fourier labels form the reciprocal lattice.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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