The Measurement of Grain Boundary Geometry

INTRODUCTION Significance of grain boundaries in polycrystals Grain boundary structure and special boundaries Development of techniques for measurement and analysis of grain boundary geometry Scope of this book THEORETICAL ASPECTS OF GRAIN BOUNDARY GEOMETRY I: GENERAL BOUNDARIES Introduction Grain boundary degrees of freedom Mathematical characterization of a misorientation Symmetry-related misorientation Tilt and twist components THEORETICAL ASPECTS OF GRAIN BOUNDARY GEOMETRY II: PERIODIC GEOMETRIES Introduction The coincidence site lattice Other models of grain boundary geometry Multiple junctions in polycrystals EXPERIMENTAL METHODS Introduction Kikuchi electron diffraction patterns Data collection in the TEM Electron back-scatter diffraction in the SEM DATA INTERPRETATION AND PROCESSING Introduction General procedure for calculating a misorientation Diffraction pattern analysis to obtain a misorientation Categorization of grain boundary geometry Calculation of the normal to the grain boundary plane DATA REPRESENTATION AND DISPLAY Introduction Stereogram-based space and special grain boundary probabilities Rodrigues-Frank space Euger space Misorientation imaging/mapping EXPERIMENTAL INVESTIGATION TO MEASURE GRAIN BOUNDARY GEOMETRY Introduction Survey of grain boundary geometry investigations Comments on table 7.1 and outlook for the future References Index