The domain matrix method: a new calculation scheme for diffraction profiles

Pflanz, S. and Moritz, Wolfgang (1992): The domain matrix method: a new calculation scheme for diffraction profiles. In: Acta Crystallographica Section A, Vol. 48, No. 5: pp. 716-727

Abstract

A new calculation scheme for diffraction profiles is presented that combines the matrix method with domain approaches. Based on a generalized Markov chain, the method allows the exact solution of the diffraction problem from any one-dimensionally disordered domain structure. The main advantage of this model is that a domain statistic is used instead of a cell statistic and that the domain-length distribution can be chosen independently from the domain-type stacking. A recursive relation is derived for the correlations between the domains and a double recursive algorithm, not reducible to a simpler one, is obtained as solution. The algorithm developed here is referred to as the domain matrix method. Results and applications of the new approach are discussed.

• Item Type: Article
• Collections: Geosciences
• Subjects: 500 Science > 550 Earth sciences and geology