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The Structure of Grain Boundaries. A Model Based on Planar Watching
Author(s) -
Ralph B.,
Howell P. R.,
Page T. F.
Publication year - 1973
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220550220
Subject(s) - grain boundary , planar , lattice (music) , geometry , displacement (psychology) , plane (geometry) , matching (statistics) , coincidence , boundary (topology) , condensed matter physics , crystallography , materials science , mathematics , mathematical analysis , physics , computer science , microstructure , chemistry , statistics , medicine , psychology , computer graphics (images) , alternative medicine , pathology , acoustics , psychotherapist
A model of grain boundary structure is presented which is based on the concept of planar matching across the interface. This approach yields those displacements necessary to define the defect, population, and where possible, localisation of these displacements is seen to generate a variety of defects, some of which are analogous to the Van der Merwe dislocations in a partially coherent two‐phase interface. Thus it will be shown that the majority of grain boundaries contain dislocations with in‐plane Burgers vectors, which can be quantified both in terms of magnitude and direction, although it will be shown that the displacement patterns for the general case will be highly complex. Similarly, those dislocations which have hitherto been associated with low angle grain boundaries and coincidence‐site lattice grain boundaries can be generated by considering the matching of plane stacks.