Relations between integrated intensities in crystal diffraction methods for X-rays and neutrons

In addition to the classical experimental methods of crystal diffraction a number of new methods have become available using the time-of-flight technique for neutrons and energy-dispersive detectors for X- rays. It is shown that there are simple relations between the formulae for the integrated intensities of the different methods, and that the intensity formulae for all the methods can be simply generated, provided that one of them is derived in the usual way. Formulae are given for the powdered crystal and the ideally imperfect crystal in the kinematical approximation as well as for the large perfect crystal in the framework of the dynamical theory.