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Application of the matrix method to the calculation of diffuse scattering in linearly disordered crystals

Application of the matrix method to the calculation of diffuse scattering in linearly disordered... The matrix method for the calculation of diffuse scattering has been applied to linearly disordered crystals. Although it is shown that the matrix method and the difference formula are equivalent for equal length cells, the algebraic and computational advantages of the matrix method are stressed and are illustrated by the example of short-range order in hollandite, K1.54Mg0.77Ti7.23O 16. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography International Union of Crystallography

Application of the matrix method to the calculation of diffuse scattering in linearly disordered crystals

Application of the matrix method to the calculation of diffuse scattering in linearly disordered crystals


Abstract

The matrix method for the calculation of diffuse scattering has been applied to linearly disordered crystals. Although it is shown that the matrix method and the difference formula are equivalent for equal length cells, the algebraic and computational advantages of the matrix method are stressed and are illustrated by the example of short-range order in hollandite, K1.54Mg0.77Ti7.23O 16.

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Publisher
International Union of Crystallography
Copyright
Copyright (c) 1979 International Union of Crystallography
ISSN
0567-7394
DOI
10.1107/S0567739479001820
Publisher site
See Article on Publisher Site

Abstract

The matrix method for the calculation of diffuse scattering has been applied to linearly disordered crystals. Although it is shown that the matrix method and the difference formula are equivalent for equal length cells, the algebraic and computational advantages of the matrix method are stressed and are illustrated by the example of short-range order in hollandite, K1.54Mg0.77Ti7.23O 16.

Journal

Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General CrystallographyInternational Union of Crystallography

Published: Sep 1, 1979

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