Multidimensional period doubling structures

Jeong Yup Lee; Dvir Flom; Shelomo I. Ben-Abraham

doi:10.1107/S2053273316004897

Multidimensional period doubling structures

Jeong Yup Lee, Dvir Flom, Shelomo I. Ben-Abraham

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Abstract

This paper develops the formalism necessary to generalize the period doubling sequence to arbitrary dimension by straightforward extension of the substitution and recursion rules. It is shown that the period doubling structures of arbitrary dimension are pure point diffractive. The symmetries of the structures are pointed out.Generalization of the period doubling sequence to arbitrary dimension is developed.

Original language	English
Pages (from-to)	391-394
Number of pages	4
Journal	Acta Crystallographica Section A: Foundations and Advances
Volume	72
Issue number	3
DOIs	https://doi.org/10.1107/S2053273316004897
State	Published - 1 May 2016

Keywords

aperiodic structures
period doubling structures
pure point diffraction

ASJC Scopus subject areas

Structural Biology
Biochemistry
General Materials Science
Condensed Matter Physics
Physical and Theoretical Chemistry
Inorganic Chemistry

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abstract = "This paper develops the formalism necessary to generalize the period doubling sequence to arbitrary dimension by straightforward extension of the substitution and recursion rules. It is shown that the period doubling structures of arbitrary dimension are pure point diffractive. The symmetries of the structures are pointed out.Generalization of the period doubling sequence to arbitrary dimension is developed.",

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Multidimensional period doubling structures

Abstract

Keywords

ASJC Scopus subject areas

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