Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Reciprocal lattice
|
| gptkbp:application |
gptkb:Error-correcting_codes
mathematical optimization Analysis of crystal structures |
| gptkbp:defines |
The set of all vectors in a vector space that have integer scalar product with all vectors of a given lattice
|
| gptkbp:field |
gptkb:Mathematics
gptkb:geometry gptkb:Crystallography Lattice theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Dual lattice
|
| gptkbp:property |
The dual lattice may not be equal to the original lattice
The dual of the dual lattice is the original lattice The dual lattice is itself a lattice If the lattice is integral and unimodular, it is equal to its dual |
| gptkbp:relatedTo |
gptkb:Fourier_transform
Bravais lattice Lattice (mathematics) Reciprocal lattice |
| gptkbp:usedIn |
gptkb:Crystallography
Coding theory Solid state physics |
| gptkbp:bfsParent |
gptkb:Lattice_(order)
|
| gptkbp:bfsLayer |
8
|