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An ideal periodic point lattice together with a basis representing the repeating structure of a crystal. A Bravais lattice records translations and does not by itself specify chemical species, interactions, or defects.
wp-physics-bravais-latticewp-physics-crystal-structuretong-solid-state-physicsmit-theory-of-solidsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A lattice plus basis idealizes the ordered structure of a real crystal while omitting defects, surfaces, thermal displacement, and chemical dynamics.
The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.
wp-physics-crystal-structurewp-physics-bravais-latticetong-solid-state-physicsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
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.
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