## lattice- (MATH) A periodic arrangement
of points such as the vertices of a tiling
of space by cubes or the positions of atoms in a crystal. More technically,
a discrete Abelian subgroup of an
*n*-dimensional vector space which not contained in an (*n*-1)-dimensional vector space. Lattices play a central role in the theory of Lie groups, in number theory, in error-correcting codes, and many other areas of mathematics. A lattice is often, but not always, distinguished from a graph in that a lattice is a graph with a regular structure. - (CHEMISTRY) A regular network of fixed points about which molecules, atoms, or ions vibrate in a crystal.
## Related categories• SOLIDS AND SURFACES• PHYSICAL CHEMISTRY | |||||

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