Quasiperiodicity in decagonal phases forced by inclined net planes?

Acta Crystallographica. Section A, Foundations of Crystallography
Walter Steurer, Antonio Cervellino

Abstract

It is generally assumed that decagonal quasicrystals show periodically arranged atomic layers only on net planes perpendicular to the tenfold axis and quasiperiodically arranged ones parallel to it. However, there also do exist only slightly puckered atomic layers that are periodically arranged and inclined to the tenfold axis. They coincide with the net planes of the periodic average structures of the decagonal phase and are related to the strongest Bragg reflections. Since they link quasiperiodic and periodic directions, inclined net planes may play a crucial role for growth and stabilization of decagonal quasicrystals. In fact, it is shown how ideal quasiperiodic long-range order and inflation symmetry allow for the existence of inclined net planes with small corrugation and reinforce the relation with the periodic average structures.

Citations

Jun 18, 2010·Acta Crystallographica. Section A, Foundations of Crystallography·Bartłomiej Kozakowski, Janusz Wolny
Nov 21, 2007·Biochemistry. Biokhimii︠a︡·O V MorozovaA I Yaropolov
May 11, 2012·Journal of Biomolecular Structure & Dynamics·Maria Teresa CambriaAntonio Cambria
Jun 12, 2009·Critical Reviews in Biotechnology·Mirjana StajićSonja Duletić-Lausević
Aug 7, 2007·Physical Review Letters·K J FrankeW Theis
Jan 6, 2021·Acta Crystallographica. Section A, Foundations and Advances·Walter Steurer
Sep 26, 2008·Inorganic Chemistry·Nicole PienackWolfgang Bensch

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