The crystallography of deformation twinning

Abstract

The crystallography of deformation twinning is formulated on a fresh mathematical basis. This leads to a simplified technique for calculating the reciprocal elements corresponding to a given pair of rational twinning elements. It is shown how the scale of homogeneity of the deformation may be deduced from macroscopically available data. A new analysis is presented of the atomic displacements involved in rotation twinning. Criteria are laid down for the selection of operative twinning modes out of all those mathematically admissible.