Reciprocity relations for Bollmann's o-lattice

Abstract

A reciprocity relation for Bollmann's O-lattice is introduced. This result completes the existing Grimmer's reciprocity results between coincidence sites and displacement shift complete lattices. We show that the lattice generated by $a_{i}^{\ast}-b_{i}^{\ast}$ ($i=1,2,3$) is reciprocal to the O-lattice. This result, supported by Multislice calculations, indicates that it is possible to observe the O-lattice under an electron microscope using annular apertures, thus allowing the study of strain fields existing in interfaces or between a thin film growing onto a crystalline substrate.