The crystallographic fast Fourier transform. III. Centred lattices

Malgorzata Rowicka-Kudlicka, Andrzej Kudlicki, Zbyszek Otwinowski

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Algorithms for evaluation of the crystallographic FFT for centred lattices are presented. These algorithms can be applied to 80 space groups containing centring operators. For 44 of them, combining these algorithms with those described by Rowicka, Kudlicki & Otwinowski [Acta Cryst A59, 172-182] yields the maximal symmetry reduction. For other groups, new algorithms, to be presented in our forthcoming paper [Rowicka, Kudlicki & Otwinowski (2003), in preparation], are needed. The requirements on the grid size and how they interact with the choice of algorithms are also discussed in detail.

Original languageEnglish (US)
Pages (from-to)183-192
Number of pages10
JournalActa Crystallographica Section A: Foundations of Crystallography
Volume59
Issue number2
DOIs
StatePublished - Mar 2003
Externally publishedYes

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Fourier Analysis
Fast Fourier transforms
fast Fourier transformations
Mathematical operators
grids
operators
requirements
preparation
evaluation
symmetry

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Structural Biology

Cite this

The crystallographic fast Fourier transform. III. Centred lattices. / Rowicka-Kudlicka, Malgorzata; Kudlicki, Andrzej; Otwinowski, Zbyszek.

In: Acta Crystallographica Section A: Foundations of Crystallography, Vol. 59, No. 2, 03.2003, p. 183-192.

Research output: Contribution to journalArticle

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