Special Issue "Structure and Properties of Quasicrystalline Materials"

A special issue of Crystals (ISSN 2073-4352). This special issue belongs to the section "Crystal Engineering".

Deadline for manuscript submissions: closed (31 March 2018)

Special Issue Editor

Guest Editor
Dr. Dmitry A. Shulyatev

Materials Modeling and Development Laboratory, National University of Science and Technology MISIS, Moscow 119049, Russia
Website | E-Mail
Interests: crystal growth; high Tc superconductivity; metamagnetism; magnetoresistivity; low temperature physics; electrical transport; magnetometry

Special Issue Information

Dear Colleagues,

Since 1984, when Shechtman and coworkers published their pioneering paper on non-crystallographic rotational symmetry in rapidly quenched Al6Mn alloy, there has been an extraordinary interest in investigations of the structure and properties of this new type of atomic order in the solid state, termed “quasicrystals”. Quasicrystals have aperiodic long-range atomic order and symmetry, forbidden for periodic systems. They demonstrate unusual physical properties: Being alloys of “good” metals, they exhibit a large electrical resistance with a negative temperature coefficient, low thermal conductivity, very high hardness, low surface energy, low coefficient of friction, high catalytic activity, and a great deal of other interesting properties.

A massive amount of experimental and theoretical data on the structure and physical properties of quasicrystals has been accumulated over the more than 30 years of their investigation. This Special Issue will focus on the most recent advances in the field of quasicrystals and their crystalline approximants.

The possible topics include, but are not limited to:

  • Structure and Mathematical Modeling of Quasicrystals and Approximants
  • Soft Matter Quasicrystals
  • Formation and Stability of Quasicrystals
  • Phason Dynamics
  • Electron Microscopy and Surface Investigations of Quasicrystals and Approximants
  • Electronic Structure and Transport in Quasicrystals and Approximants
  • Magnetic, Thermal and Mechanical Properties of Quasicrystals and Approximants
  • New Quasicrystalline alloys

Dr. Dmitry A. Shulyatev
Guest Editor

 

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Crystals is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Quasicrystals
  • Approximants
  • Aperiodic structure
  • Phason
  • Electronic structure
  • Transport, Magnetic, Thermal and Mechanical Properties

Published Papers (6 papers)

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Research

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Open AccessArticle Quasicrystalline Ordering in Thin Liquid Crystal Films
Crystals 2018, 8(7), 275; https://doi.org/10.3390/cryst8070275
Received: 31 March 2018 / Revised: 21 June 2018 / Accepted: 25 June 2018 / Published: 29 June 2018
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Abstract
Quasicrystalline ordering was first observed in synthetic multi-component metallic alloys. These solid state materials exhibit quasicrystalline atomic ordering at nanometer length scales. Softmatter systems are another class of versatile materials that can exhibit quasicrystalline ordering across supra-nanometer (>10 nm) to supra-micrometer (>10 μ
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Quasicrystalline ordering was first observed in synthetic multi-component metallic alloys. These solid state materials exhibit quasicrystalline atomic ordering at nanometer length scales. Softmatter systems are another class of versatile materials that can exhibit quasicrystalline ordering across supra-nanometer (>10 nm) to supra-micrometer (>10 μm) length scales as recently observed in materials like-supramolecular dendritic molecules, ABC star polymers, binary nanoparticle systems and block co-polymers in condensed matter systems. The underlying mechanism in most of these soft quasicrystals seems to be the presence of two or more length scales in the system. Another class of development in self-assembled quasicrystals in softmatter is being observed in low molecular weight chiral and achiral nematic liquid crystals. Liquid crystal forms an efficient matrix for self- and directed-assemblies of colloidal structures where surface and geometry-tuning the particles in nematic liquid crystals gives rise to complex inter-particle interactions while the long-range order results in self-assembled structures of higher order rotational symmetries. Furthermore, there has also been attempts to generate colloidal quasicrystalline defect structures by directing the assemblies using multiple and single beam lasing techniques. In the present article, we will review self- and assisted-assembly of quasicrystalline structures in nematic liquid crystals (both chiral and achiral) and discuss the underlying mechanisms. Full article
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)
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Open AccessArticle Lattice Correspondence and Growth Structures of Monoclinic Mg4Zn7 Phase Growing on an Icosahedral Quasicrystal
Crystals 2018, 8(5), 194; https://doi.org/10.3390/cryst8050194
Received: 11 April 2018 / Revised: 26 April 2018 / Accepted: 27 April 2018 / Published: 1 May 2018
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Abstract
Mg4Zn7 phase, with a monoclinic unit cell, a layered structure and a unique axis showing pseudo-tenfold symmetry, grows over icosahedral quasicrystalline phase in a manner similar to a decagonal quasicrystal. In this study, the relationship of this phase to icosahedral
[...] Read more.
Mg 4 Zn 7 phase, with a monoclinic unit cell, a layered structure and a unique axis showing pseudo-tenfold symmetry, grows over icosahedral quasicrystalline phase in a manner similar to a decagonal quasicrystal. In this study, the relationship of this phase to icosahedral quasicrystal is brought out by a transmission electron microscopy study of Mg 4 Zn 7 phase growing on icosahedral phase in a cast Mg-Zn-Y alloy. Lattice correspondences between the two phases have been determined by electron diffraction. Planes related to icosahedral fivefold and pseudo-twofold symmetry are identified. Possible orthogonal cells bounded by twofold symmetry-related planes have been determined. Mg 4 Zn 7 phase growing on an icosahedral phase exhibits a number of planar faults parallel to the monoclinic axis, presumably to accommodate the quasiperiodicity at the interface. Two faults were identified, which were on {200} and { 2 ¯ 01} planes. Their structures have been determined by high resolution imaging in TEM. They produce two different unit cells at the interface. Full article
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)
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Open AccessArticle Formation of Quasicrystalline Phases and Their Close Approximants in Cast Al-Mn Base Alloys Modified by Transition Metals
Crystals 2018, 8(2), 61; https://doi.org/10.3390/cryst8020061
Received: 31 December 2017 / Revised: 20 January 2018 / Accepted: 22 January 2018 / Published: 27 January 2018
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Abstract
The aim of the presented research was to study the influence of Cr, Co, Ni, and Cu additions on the formation of quasicrystalline particles in the 94Al-6Mn base alloy during casting at intermediate cooling rates. Based on the obtained results, Cu and Ni
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The aim of the presented research was to study the influence of Cr, Co, Ni, and Cu additions on the formation of quasicrystalline particles in the 94Al-6Mn base alloy during casting at intermediate cooling rates. Based on the obtained results, Cu and Ni enhance quasicrystalline phase nucleation compared to the unmodified binary composition. In the case of Cu addition, formation of a quasicrystalline phase takes place along whole thickness of the prepared casting, but its fraction and morphology depends on the cooling rates present in different parts of the sample. Based on the previous works on the beneficial effect of Fe addition, a quaternary alloy containing both Fe and Cu was prepared to evaluate the effect of the simultaneous presence of these elements on the microstructure of the obtained castings. Full article
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)
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Open AccessArticle Structurally Complex Frank–Kasper Phases and Quasicrystal Approximants: Electronic Origin of Stability
Crystals 2017, 7(12), 359; https://doi.org/10.3390/cryst7120359
Received: 11 November 2017 / Revised: 26 November 2017 / Accepted: 1 December 2017 / Published: 4 December 2017
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Abstract
Metal crystals with tetrahedral packing are known as Frank–Kasper phases, with large unit cells with the number of atoms numbering from hundreds to thousands. The main factors of the formation and stability of these phases are the atomic size ratio and the number
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Metal crystals with tetrahedral packing are known as Frank–Kasper phases, with large unit cells with the number of atoms numbering from hundreds to thousands. The main factors of the formation and stability of these phases are the atomic size ratio and the number of valence electrons per atom. The significance of the electronic energy contribution is analyzed within the Fermi sphere–Brillouin zone interaction model for several typical examples: Cu4Cd3, Mg2Al3 with over a thousand atoms per cell, and for icosahedral quasicrystal approximants with 146–168 atoms per cell. Our analysis shows that to minimize the crystal energy, it is important that the Fermi sphere (FS) is in contact with the Brillouin zones that are related to the strong diffraction peaks: the zones either inscribe the FS or are circumscribed by the FS creating contact at edges or vertices. Full article
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)
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Open AccessArticle Methods for Calculating Empires in Quasicrystals
Crystals 2017, 7(10), 304; https://doi.org/10.3390/cryst7100304
Received: 31 August 2017 / Revised: 26 September 2017 / Accepted: 29 September 2017 / Published: 9 October 2017
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Abstract
This paper reviews the empire problem for quasiperiodic tilings and the existing methods for generating the empires of the vertex configurations in quasicrystals, while introducing a new and more efficient method based on the cut-and-project technique. Using Penrose tiling as an example, this
[...] Read more.
This paper reviews the empire problem for quasiperiodic tilings and the existing methods for generating the empires of the vertex configurations in quasicrystals, while introducing a new and more efficient method based on the cut-and-project technique. Using Penrose tiling as an example, this method finds the forced tiles with the restrictions in the high dimensional lattice (the mother lattice) that can be cut-and-projected into the lower dimensional quasicrystal. We compare our method to the two existing methods, namely one method that uses the algorithm of the Fibonacci chain to force the Ammann bars in order to find the forced tiles of an empire and the method that follows the work of N.G. de Bruijn on constructing a Penrose tiling as the dual to a pentagrid. This new method is not only conceptually simple and clear, but it also allows us to calculate the empires of the vertex configurations in a defected quasicrystal by reversing the configuration of the quasicrystal to its higher dimensional lattice, where we then apply the restrictions. These advantages may provide a key guiding principle for phason dynamics and an important tool for self error-correction in quasicrystal growth. Full article
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)
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Review

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Open AccessReview Defects in Static Elasticity of Quasicrystals
Crystals 2017, 7(12), 373; https://doi.org/10.3390/cryst7120373
Received: 27 October 2017 / Revised: 4 December 2017 / Accepted: 5 December 2017 / Published: 14 December 2017
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Abstract
A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on various defects of quasicrystals. Dislocation and crack are two classes of typical topological defects, while their existence has great influence on the mechanical behavior of quasicrystals. The
[...] Read more.
A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on various defects of quasicrystals. Dislocation and crack are two classes of typical topological defects, while their existence has great influence on the mechanical behavior of quasicrystals. The analytic and numerical solutions of dislocations and crack in quasicrystals are the core of the static and dynamic elasticity theory, and this paper gives a comprehensive review on the solutions for dislocations and crack with different configurations in different various important quasicrystalline systems. We review some results in linear elasticity of quasicrystals, referring to different boundary value problems. We also add some new achievements. Full article
(This article belongs to the Special Issue Structure and Properties of Quasicrystalline Materials)
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