Analysis of the inclination method for investigating the pendelloesung interferences of neutron beams and X-rays

Pendelloesung interferences in a wide range of crystal thicknesses and extinction lengths can be measured by the inclination method. The positions of the extrema of intensity coincide well with the calculated ones but the observed contrast of the oscillations is considerably weaker than the theoretical one. A mathematical model is given, taking into account the influence of several factors which characterize the incident radiation as well as the crystal examined. From this follows, that the inclination method is insensitive to many disturbing factors, and therefore it can be used for metrological purposes. (author)