Models of grain boundaries in the diamond lattice: II. Tilt about 〈001〉 and theory

Abstract

Models are presented for large-angle grain boundaries with a 〈001〉 tilt axis. For all angles of tilt, dislocations without dangling bonds can be used in the construction of these models. One model may be considered either as an array of edge dislocations or as an array of 45° dislocations. In the last section the crystallography of regular grain boundaries is discussed, the grain-boundary index is introduced and the application of the transformation matrix to grain-boundary problems is illustrated.