Premium
Minimum‐Angle versus Low‐Index Axis Rotations for Representing Small‐ and Large‐Angle Grain Boundary Misorientations in Cubic Lattices
Author(s) -
Gourdet S.,
Jonas J. J.,
Montheillet F.
Publication year - 1998
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889897010005
Subject(s) - misorientation , rotation (mathematics) , grain boundary , geometry , angle of rotation , boundary (topology) , representation (politics) , index (typography) , screw axis , orientation (vector space) , physics , mathematics , condensed matter physics , crystallography , mathematical analysis , microstructure , chemistry , computer science , world wide web , law , politics , political science
It is well known that the misorientation between two cubic crystals is equivalently described by 24 rotations. On the one hand, it is common practice to consider only the rotation associated with the least angle. To assess the physical meaning of such a representation, some new properties of this angle are derived. On the other hand, the rotation whose axis is closest to some special low‐index direction may also give insight into the physics of the boundary. The extent to which a misorientation is accurately described by such a low‐index axis rotation is examined. Finally, the advantages of each type of representation for describing small‐ and large‐angle grain boundaries are compared and discussed.