A smectic dodecagonal quasicrystal

Metere, Alfredo; Oleynikov, Peter; Dzugutov, Mikhail; Lidin, Sven

doi:10.1039/c6sm01832g

Title: A smectic dodecagonal quasicrystal

Abstract

In this paper, we report a solid smectic phase that exhibits dodecagonal global order. It is composed of axially stacked hexagonally ordered particle layers, and its 12-fold rotational symmetry induced by the 30° rotation of adjacent layers with respect to each other. A quasicrystal was produced in a molecular-dynamics simulation of a single-component system of particles interacting via a spherically-symmetric potential. It was formed as a result of a first-order phase transition from an isotropic liquid state that occurred under constant-density cooling. This finding implies that a similarly structured quasicrystal can possibly be produced by the same class of systems as those forming smectic-B crystals. Lastly, this quasicrystal can also be expected to arise in a system of spherically-shaped colloidal particles with appropriately tuned potential.

Authors:

Metere, Alfredo ^[1]; Oleynikov, Peter ^[2]; Dzugutov, Mikhail ^[3]; Lidin, Sven ^[4]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physical and Life Sciences Directorate, Computational Materials Science in the Condensed Matter and Materials Division
Stockholm University (Sweden). Department of Materials and Environmental Chemistry
Royal Institute of Technology, Stockholm (Sweden). Department of Mathematics
Lund University (Sweden). Division of Polymer & Materials Chemistry

Publication Date:: Thu Sep 01 00:00:00 EDT 2016

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1393354

Report Number(s):: LLNL-JRNL-702340
Journal ID: ISSN 1744-683X; SMOABF

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Soft Matter

Additional Journal Information:: Journal Volume: 12; Journal Issue: 43; Journal ID: ISSN 1744-683X

Publisher:: Royal Society of Chemistry

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats


                    Metere, Alfredo, Oleynikov, Peter, Dzugutov, Mikhail, and Lidin, Sven. A smectic dodecagonal quasicrystal.  United States: N. p., 2016. 
        Web.  doi:10.1039/c6sm01832g.

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                    Metere, Alfredo, Oleynikov, Peter, Dzugutov, Mikhail, & Lidin, Sven. A smectic dodecagonal quasicrystal.  United States.  https://doi.org/10.1039/c6sm01832g

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                    Metere, Alfredo, Oleynikov, Peter, Dzugutov, Mikhail, and Lidin, Sven. 2016.  
        "A smectic dodecagonal quasicrystal".  United States.  https://doi.org/10.1039/c6sm01832g.  https://www.osti.gov/servlets/purl/1393354.

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@article{osti_1393354,

  title        = {A smectic dodecagonal quasicrystal},

  author       = {Metere, Alfredo and Oleynikov, Peter and Dzugutov, Mikhail and Lidin, Sven},

  abstractNote = {In this paper, we report a solid smectic phase that exhibits dodecagonal global order. It is composed of axially stacked hexagonally ordered particle layers, and its 12-fold rotational symmetry induced by the 30° rotation of adjacent layers with respect to each other. A quasicrystal was produced in a molecular-dynamics simulation of a single-component system of particles interacting via a spherically-symmetric potential. It was formed as a result of a first-order phase transition from an isotropic liquid state that occurred under constant-density cooling. This finding implies that a similarly structured quasicrystal can possibly be produced by the same class of systems as those forming smectic-B crystals. Lastly, this quasicrystal can also be expected to arise in a system of spherically-shaped colloidal particles with appropriately tuned potential.},

  doi          = {10.1039/c6sm01832g},

  url          = {https://www.osti.gov/biblio/1393354},
  journal      = {Soft Matter},

  issn         = {1744-683X},

  number       = 43,

  volume       = 12,

  place        = {United States},

  year         = {Thu Sep 01 00:00:00 EDT 2016},

  month        = {Thu Sep 01 00:00:00 EDT 2016}

}

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Works referencing / citing this record:

Universal self-assembly of one-component three-dimensional dodecagonal quasicrystals
journal, January 2017

Ryltsev, Roman; Chtchelkatchev, Nikolay
Soft Matter, Vol. 13, Issue 29
https://doi.org/10.1039/c7sm00883j

Phase behaviour of quasicrystal forming systems of core-corona particles
journal, March 2017

Pattabhiraman, Harini; Dijkstra, Marjolein
The Journal of Chemical Physics, Vol. 146, Issue 11
https://doi.org/10.1063/1.4977934

Universal self-assembly of one-component three-dimensional dodecagonal quasicrystals
preprint, January 2017

Ryltsev, Roman; Chtchelkatchev, Nikolay
arXiv
https://doi.org/10.48550/arxiv.1705.01517

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Title: A smectic dodecagonal quasicrystal

Abstract

Citation Formats

Quasicrystalline order in self-assembled binary nanoparticle superlattices journal, October 2009

Mechanical Shear of Layers in Smectic- A and Smectic- B Liquid Crystal journal, October 1980

Formation of a new archetypal Metal-Organic Framework from a simple monatomic liquid journal, December 2014

Formation of a dodecagonal quasicrystalline phase in a simple monatomic liquid journal, May 1993

Two-Dimensional Crystallization of Hexagonal Bilayer with Moiré Patterns journal, March 2012

Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry journal, January 2011

Quasicrystals: diversity and complexity journal, September 2010

Stability of Colloidal Quasicrystals journal, July 1998

Polymeric Quasicrystal: Mesoscopic Quasicrystalline Tiling in A B C Star Polymers journal, May 2007

Optics of photonic quasicrystals journal, February 2013

Dodecagonal tiling in mesoporous silica journal, July 2012

Quasicrystalline Order and a Crystal-Liquid State in a Soft-Core Fluid journal, October 2013

Theoretical Model for Faraday Waves with Multiple-Frequency Forcing journal, August 1997

Interlayer correlations in smectic B phases journal, January 1979

Space groups of trigonal and hexagonal quasiperiodic crystals of rank 4 journal, January 1994

Computational self-assembly of a one-component icosahedral quasicrystal journal, December 2014

Structure of the Smectic- B Phase and the Nature of the Smectic- B to - H Transition in the N-(4- n -Alkoxybenzylidene)-4′-Alkylanilines journal, August 1979

Crystalline smectic- B films as fluctuating systems: Static and dynamic x-ray scattering journal, January 2001

Supramolecular dendritic liquid quasicrystals journal, March 2004

The space groups of axial crystals and quasicrystals journal, July 1991

Compatibility waves drive crystal growth on patterned substrates journal, July 2013

Stability of quasicrystals composed of soft isotropic particles journal, May 2011

Controlled Self-Assembly of Periodic and Aperiodic Cluster Crystals journal, August 2014

Dodecagonal Quasicrystals Still in Progress journal, December 2011

Tracing the phase boundaries of hard spherocylinders journal, January 1997

Formation of the smectic- B crystal from a simple monatomic liquid journal, December 2013

Self-assembly of soft-matter quasicrystals and their approximants journal, December 2011

Phason Dynamics and Atomic Transport in an Equilibrium Dodecagonal Quasi-Crystal journal, July 1995

Toward the discovery of new soft quasicrystals: From a numerical study viewpoint journal, November 2011

Universal self-assembly of one-component three-dimensional dodecagonal quasicrystals journal, January 2017

Phase behaviour of quasicrystal forming systems of core-corona particles journal, March 2017

Universal self-assembly of one-component three-dimensional dodecagonal quasicrystals preprint, January 2017

Quasicrystalline order in self-assembled binary nanoparticle superlattices
journal, October 2009

Mechanical Shear of Layers in Smectic- $A$ and Smectic- $B$ Liquid Crystal
journal, October 1980

Formation of a new archetypal Metal-Organic Framework from a simple monatomic liquid
journal, December 2014

Formation of a dodecagonal quasicrystalline phase in a simple monatomic liquid
journal, May 1993

Two-Dimensional Crystallization of Hexagonal Bilayer with Moiré Patterns
journal, March 2012

Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry
journal, January 2011

Quasicrystals: diversity and complexity
journal, September 2010

Stability of Colloidal Quasicrystals
journal, July 1998

Polymeric Quasicrystal: Mesoscopic Quasicrystalline Tiling in $A B C$ Star Polymers
journal, May 2007

Optics of photonic quasicrystals
journal, February 2013

Dodecagonal tiling in mesoporous silica
journal, July 2012

Quasicrystalline Order and a Crystal-Liquid State in a Soft-Core Fluid
journal, October 2013

Theoretical Model for Faraday Waves with Multiple-Frequency Forcing
journal, August 1997

Interlayer correlations in smectic B phases
journal, January 1979

Space groups of trigonal and hexagonal quasiperiodic crystals of rank 4
journal, January 1994

Computational self-assembly of a one-component icosahedral quasicrystal
journal, December 2014

Structure of the Smectic- $B$ Phase and the Nature of the Smectic- $B$ to - $H$ Transition in the N-(4- $n$ -Alkoxybenzylidene)-4′-Alkylanilines
journal, August 1979

Crystalline smectic- B films as fluctuating systems: Static and dynamic x-ray scattering
journal, January 2001

Supramolecular dendritic liquid quasicrystals
journal, March 2004

The space groups of axial crystals and quasicrystals
journal, July 1991

Compatibility waves drive crystal growth on patterned substrates
journal, July 2013

Stability of quasicrystals composed of soft isotropic particles
journal, May 2011

Controlled Self-Assembly of Periodic and Aperiodic Cluster Crystals
journal, August 2014

Dodecagonal Quasicrystals Still in Progress
journal, December 2011

Tracing the phase boundaries of hard spherocylinders
journal, January 1997

Formation of the smectic- $B$ crystal from a simple monatomic liquid
journal, December 2013

Self-assembly of soft-matter quasicrystals and their approximants
journal, December 2011

Phason Dynamics and Atomic Transport in an Equilibrium Dodecagonal Quasi-Crystal
journal, July 1995

Toward the discovery of new soft quasicrystals: From a numerical study viewpoint
journal, November 2011

Universal self-assembly of one-component three-dimensional dodecagonal quasicrystals
journal, January 2017

Phase behaviour of quasicrystal forming systems of core-corona particles
journal, March 2017

Universal self-assembly of one-component three-dimensional dodecagonal quasicrystals
preprint, January 2017