As it is well known, integrated intensity is one of the most important characteristics of X-ray diffraction analysis which is widely used for study of microstructure of materials [1]. However, simulation of this value may run into serious difficulties in the case of deformed crystallites. Therefore, a further development of theoretical foundations of X-ray diffraction with lattice distortions is an actual physical problem.

In the present paper, integrated diffracted intensity is calculated for strongly bent crystallites, which are entirely randomly oriented as well. The dynamical ‘fine structures’ effects, predicted early for X-ray rocking curve [2], are also established for the integrated intensity. These extinction effects are due to the X-ray interbranch scattering, activated by strong deformations. It is necessary to note that they are size-related effects occurring for crystallites the thickness of which is of the order of the interbranch extinction length. This length is of a small value being considerably less than the X-ray extinction length for an ideal crystal. Moreover, it is shown that the interbranch anomalies of the integrated intensity depend on the value of Bragg angle, such that they increase significantly with increasing the angle.

It is worth to point out that the described effects, such as asymmetrical broadening and splitting of the main peak of the integrated intensity are caused by the long–range strain field which varies with depth. At the same time, the field changing along the surface may be responsible for shift of the main peak. These facts could be of interest for study of topology of the strain fields inside the given crystallite.

References:

[1] Mittemeijer E., Scardi P., Diffraction Analysis of Microstructure of Materials,  (Springer, Berlin 2004)

[2] Shevchenko M., Acta Crystallogr. A 63 (2007) 273-277

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