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Diaphony, a measure of uniform distribution, and the Patterson function

Authors :
Wolfgang Hornfeck
Philipp Kuhn
Source :
Acta Crystallographica Section A Foundations and Advances. 71:382-391
Publication Year :
2015
Publisher :
International Union of Crystallography (IUCr), 2015.

Abstract

This paper reviews the number-theoretic concept ofdiaphony, a measure of uniform distribution for number sequences and point sets based on a Fourier theory approach, and its relation to crystallographic concepts like the largest interplanar spacing of a lattice, the structure-factor equation and the Patterson function.

Subjects

Subjects :
Inorganic Chemistry
Structural Biology
Computer Science::Information Retrieval
Lattice (order)
Mathematical analysis
Fourier theory
Patterson function
General Materials Science
Physical and Theoretical Chemistry
Condensed Matter Physics
Biochemistry
Mathematics

Details

ISSN :
20532733
Volume :
71
Database :
OpenAIRE
Journal :
Acta Crystallographica Section A Foundations and Advances
Accession number :
edsair.doi.dedup.....d3621d80af5ef84dbb49840ce84496ef
Full Text :
https://doi.org/10.1107/s2053273315007123
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