International Tables for Crystallography
Access to online content requires a licence
You have followed a link to material from the 2010
edition of International Tables for Crystallography
Volume B. If you would like to update your licence to
include this material please contact
support@iucr.org.
If you have a licence for the 2006 edition of this volume
please follow the link below to access material from it:
International Tables for Crystallography (2006). Vol. B, Section 1.3.4.4 |
Fourier transforms in crystallography: theory, algorithms and applications International Tables for Crystallography (2010). Vol. B, ch. 1.3, pp. 24-113 [ doi:10.1107/97809553602060000760 ] Abstract In the first part of this chapter, the mathematical theory of the Fourier transformation is cast in the language of Schwartz's theory of distributions, allowing Fourier transforms, Fourier series and discrete Fourier transforms to be treated together. Next the numerical computation of the discrete Fourier transform is discussed. One-dimensional algorithms are examined first, including the Cooley–Tukey algorithm, the Good (or prime factor) algorithm, the Rader algorithm and the Winograd algorithms. Multidimensional algorithms are then covered. The last part of the chapter surveys the crystallographic applications of Fourier transforms. |
Access, prices and ordering
International Tables for Crystallography is available online as a full set of volumes through Wiley.
If you have already registered and are using a computer listed in your registration details, please email support@iucr.org for assistance.
About International Tables for Crystallography
International Tables for Crystallography is the definitive resource and reference work for crystallography. The multi-volume series 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.