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Aperiodic CrystalsFrom Modulated Phases to Quasicrystals$
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Aperiodic Crystals: From Modulated Phases to Quasicrystals

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

Print publication date: 2007

Print ISBN-13: 9780198567776

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198567776.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 06 December 2021

INTRODUCTION

INTRODUCTION

Chapter:
(p.1) 1 INTRODUCTION
Source:
Aperiodic Crystals
Author(s):

Ted Janssen

Gervais Chapuis

Marc de Boissieu

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198567776.003.0001

This introductory chapter discusses periodic and quasiperiodic crystals. Perfect quasiperiodic crystals and periodic crystals have sharp Bragg peaks, on the positions of a Fourier module. When the rank of the quasiperiodic structure is equal to the dimension of the space, the Fourier module is identical to the reciprocal lattice. A quasiperiodic crystal with a rank higher than the dimension of the physical space is called an aperiodic crystal.

Keywords:   periodic crystals, quasiperiodic crystals, symmetry, lattice, aperiodic crystal

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