Chapter 4.2 Disorder diffuse scattering of X-rays and neutrons

Reciprocal space

Second Online Edition (2010)

Part 4. Diffuse scattering and related topics

  1. F. Frey,
  2. H. Boysen,
  3. H. Jagodzinski

Published Online: 1 JUN 2010

DOI: 10.1107/97809553602060000774

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Frey, F., Boysen, H. and Jagodzinski, H. 2010. Disorder diffuse scattering of X-rays and neutrons. International Tables for Crystallography. B:4:4.2:492–539.

Author Information

  1. Department für Geo- und Umweltwissenschaften, Sektion Kristallographie, Ludwig-Maximilians Universität, Theresienstrasse 41, 80333 München, Germany

Publication History

  1. Published Online: 1 JUN 2010


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.


  • diffuse scattering;
  • disorder;
  • X-ray scattering;
  • neutron scattering;
  • clustering;
  • defects;
  • local ordering;
  • orientational disorder;
  • short-range order;
  • lamellar domains;
  • density modulations;
  • displacement modulations