Lattice plane
Encyclopedia
In crystallography
, a lattice plane of a given Bravais lattice is a plane (or family of parallel planes) whose intersections with the lattice (or any crystalline structure of that lattice) are periodic (i.e. are described by 2d Bravais lattices) and intersect the Bravais lattice; equivalently, a lattice plane is any plane containing at least three noncollinear Bravais lattice points. All lattice planes can be described by a set of integer Miller indices, and vice versa (all integer Miller indices define lattice planes).
Conversely, planes that are not lattice planes have aperiodic intersections with the lattice called quasicrystal
s; this is known as a "cut-and-project" construction of a quasicrystal (and is typically also generalized to higher dimensions).
Crystallography
Crystallography is the experimental science of the arrangement of atoms in solids. The word "crystallography" derives from the Greek words crystallon = cold drop / frozen drop, with its meaning extending to all solids with some degree of transparency, and grapho = write.Before the development of...
, a lattice plane of a given Bravais lattice is a plane (or family of parallel planes) whose intersections with the lattice (or any crystalline structure of that lattice) are periodic (i.e. are described by 2d Bravais lattices) and intersect the Bravais lattice; equivalently, a lattice plane is any plane containing at least three noncollinear Bravais lattice points. All lattice planes can be described by a set of integer Miller indices, and vice versa (all integer Miller indices define lattice planes).
Conversely, planes that are not lattice planes have aperiodic intersections with the lattice called quasicrystal
Quasicrystal
A quasiperiodic crystal, or, in short, quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetry...
s; this is known as a "cut-and-project" construction of a quasicrystal (and is typically also generalized to higher dimensions).