International Tables for Crystallography

Disorder diffuse scattering of X-rays and neutrons
F. Frey, H. Boysen and H. Jagodzinski. International Tables for Crystallography (2010). Vol. B, ch. 4.2, pp. 492-539  [ doi:10.1107/97809553602060000774 ]


The scope of this chapter is outlined in Section 4.2.1. The next section, Section 4.2.2, presents a summary of basic scattering theory containing general formulae for scattering cross sections. Section 4.2.3 contains a general treatment of disorder diffuse scattering and describes the basic mathematics and general qualitative formulation of disorder problems. Occupational disorder, displacive disorder, domain disorder and lamellar disorder are discussed. Section 4.2.4 gives a rough guideline for solving a disorder problem. Section 4.2.5 describes quantitative interpretation and covers quantitative solutions and methods for treating disorder problems in layered structures (one-dimensional stacking disorder), structures with chain-like elements (two-dimensional disorder), defect structures, short-range ordering, clustering, molecular crystals and orientational disorder. A short section about disorder diffuse scattering from aperiodic crystals is given in Section 4.2.6. Computer simulations and modelling of disordered crystals are covered in Section 4.2.7 and the last section, Section 4.2.8, describes some general experimental aspects of single-crystal and powder X-ray and neutron diffraction by disordered crystals.

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About International Tables for Crystallography

International Tables for Crystallography is the definitive resource and reference work for crystallography. The series consists of nine volumes and comprises articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials.