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A Brief History of Aperiodic Crystals: 1962–2012 Read chapter Read first chapter

2013 | OriginalPaper | Chapter

28. Real Space Structure Factor and Scaling for Quasicrystals

Authors : J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik, R. Strzalka

Published in: Aperiodic Crystals

Publisher: Springer Netherlands

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Abstract

This paper describes the average unit cell (AUC) approach and its application to a derivation of the structure factor for quasicrystals. Scaling plays a special role in this approach. The TAU2-scaling in AUC simplifies the formulae for the structure factor. The TAU-scaling of peak positions distinguishes quasicrystals from twins, indicating a phase transition at some critical concentration of atoms.

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previous chapter The Choice of Vector Basis for Ammann Tiling in a Context of the Average Unit Cell
next chapter Direct Observations of Aperiodic Arrangements of Transition-Metal Atoms in Al–Co–Ni Decagonal Quasicrystals by Cs-Corrected HAADF-STEM
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Metadata
Title
Real Space Structure Factor and Scaling for Quasicrystals
Authors
J. Wolny
B. Kozakowski
P. Kuczera
L. Pytlik
R. Strzalka
Copyright Year
2013
Publisher
Springer Netherlands
Book
Aperiodic Crystals

Print ISBN: 978-94-007-6430-9

Electronic ISBN: 978-94-007-6431-6

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-94-007-6431-6_28

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