Statistical dynamical theory of crystal diffraction. II. Intensity distribution and integrated intensity in the Laue cases

The theory described in the previous paper [Kato (1980). Acta Cryst. A36, 763-769] has been applied to calculating the intensity distribution in the topography of statistically homogeneous crystalline media. The integrated intensity for parallel-sided crystals is also presented. The formulae cover the whole range of crystal perfection. Primary and secondary extinctions can be treated on a unified theoretical base. A few numerical examples are given to demonstrate the variations of the integrated intensity as a function of the crystal thickness, the extinction distance and two parameters which characterize crystal perfection over short and long ranges compared with the extinction distance.