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lattice plane : ウィキペディア英語版 | lattice plane 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.〔Neil W. Ashcroft and N. David Mermin, Solid State Physics (Harcourt: New York, 1976).〕 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 quasicrystals; this is known as a "cut-and-project" construction of a quasicrystal (and is typically also generalized to higher dimensions).〔J. B. Suck, M. Schreiber, and P. Häussler, eds., ''Quasicrystals: An Introduction to Structure, Physical Properties, and Applications'' (Springer: Berlin, 2004).〕 ==References== 〔
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