title: Diaphony, a measure of uniform distribution, and the Patterson function.
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.
authors.affiliation: Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 51170 Köln, Germany.
authors.forename: Wolfgang
authors.initials: W
authors.lastname: Hornfeck
authors.affiliation: Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 51170 Köln, Germany.
authors.forename: Philipp
authors.initials: P
authors.lastname: Kuhn
keywords: Patterson function; diaphony; geometric discrepancy; structure-factor equation; uniform distribution