A new direct method for characterizing structures with stacking faults, built up from translationally equivalent layers. I. Faults in stacking of three and four layers

Abstract

The direct method for determination of the stacking sequences of periodic polytypes has been successfully applied to the calculation of structural characteristics of stacking-faulted lattices built up of translationally equivalent layers. From the intensity distribution along row-lines of indices h-k :/: 3n on oscillational X-ray patterns rc'(m,p) sets were calculated, which give the relative rate of occurrence of the related stacking vectors. Formulae are derived for calculating cyclicity, hexagonality and the relative rate of occurrence of four-layer stackings using the ~z ' (m,p) values. It is shown that this method may be used also to determine directly the e and fl fault parameters used by Jagodzinski.