Coincidence in Rectangular Lattices.
Abstract
The conditions for the formation of rows of coincidence sites in two-dimensional rectangular lattices are considered for varying values of the axial ratio. The complete-pattern-shift lattice (DSC lattice), which defines the pattern-preserving displacements of one crystal relative to the other for a given coincidence array, degenerates into a series of parallel lines from a series of discrete points as the coincidence array changes from a two-dimensional to a one-dimensional pattern in misoriented planar lattices, or from a CSL to a two-dimensional array in misoriented three-dimensional crystals. The apparent freedom of definition in the pattern-preserving displacements for these lower-order coincidence arrays is without physical significance to real grain boundary structures, however, in that conditions must not be too far removed from those of exact coincidence for meaningful pattern-preserving displacements to be obtained. Thus their significance to general boundary structures is limited unless they can be associated with a near-coincidence relationship.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1977
- Accession Number
- ADA040840
Entities
People
- George H. Bishop Jr.
- Gordon A. Bruggeman
Organizations
- United States Army Research Laboratory