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

Authors :
Hornfeck, Wolfgang
Kuhn, Philipp
Source :
Acta Crystallographica. Section A, Foundations & Advances. Jul2015, Vol. 71 Issue 4, p382-391. 10p.
Publication Year :
2015

Abstract

This paper reviews the number-theoretic concept of diaphony, 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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*UNIFORM distribution (Probability theory)
*PATTERSON function
*APPLIED mathematics
*NUMERICAL solutions to equations
*DISTRIBUTION (Probability theory)

Details

Language :
English
ISSN :
20532733
Volume :
71
Issue :
4
Database :
Academic Search Index
Journal :
Acta Crystallographica. Section A, Foundations & Advances
Publication Type :
Academic Journal
Accession number :
103642680
Full Text :
https://doi.org/10.1107/S2053273315007123
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