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Book Topological Indices and Symmetry Group in Carbon Nanotubes

Download or read book Topological Indices and Symmetry Group in Carbon Nanotubes written by Hamid Saati and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological indices of nanotubes are numerical descriptors that are derived from graph of chemical compounds.Such indices based on the distances in graph are widely used for establishing relationships between the structure of nanotubes and their physico chemical properties.Types of symmetry groups are commonly used in chemistry. Point groups are used for molecules, whereas, for solids, the 230 space groups are used Neither of these types of symmetry groups are suitable for representing unit cells in solids the symmetry of which is in termediate between that of point groups and space groups represent the symmetry of unit cells in an infinite lattice, a third type of symmetry group must be used. An algorithmic method of generating these symmetry groups is describe.It can be demonstrated that these groups are valid by use of conventional symmetry group theory, this technique has been applied to the two-dimensional graphite lattice. Because the new method generates symmetry tables using only the topology of the system, the symmetry properties of graphs can also readily be derived. Last, the relationship between these groups and the other two types of groups is identified."

Book Distance  Symmetry  and Topology in Carbon Nanomaterials

Download or read book Distance Symmetry and Topology in Carbon Nanomaterials written by Ali Reza Ashrafi and published by Springer. This book was released on 2016-08-16 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume is inspired by the seminal discovery and identification of C60. Starting with a comprehensive discussion featuring graphene based nanostructures, subsequent chapters include topological descriptions of matrices, polynomials and indices, and an extended analysis of the symmetry and topology of nanostructures. Carbon allotropes such as diamond and its connection to higher-dimensional spaces is explored along with important mathematical and topological considerations. Further topics covered include spontaneous symmetry breaking in graphene, polyhedral carbon structures, nanotube junction energetics, and cyclic polyines as relatives of nanotubes and fullerenes. This book is aimed at researchers active in the study of carbon materials science and technology.

Book Topological Modelling of Nanostructures and Extended Systems

Download or read book Topological Modelling of Nanostructures and Extended Systems written by Ali Reza Ashrafi and published by Springer Science & Business Media. This book was released on 2013-05-19 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Modelling of Nanostructures and Extended Systems completes and expands upon the previously published title within this series: The Mathematics and Topology of Fullerenes (Vol. 4, 2011) by gathering the latest research and advances in materials science at nanoscale. It introduces a new speculative area and novel concepts like topochemical reactions and colored reactive topological indices and provides a better understanding of the physical-chemical behaviors of extended systems. Moreover, a charming new family of space-filling fullerenic crystals is here analyzed for the first time. Particular attention is given to the fundamental influences exercised by long-range connectivity topological mechanisms on the chemical and physical properties of carbon nanostructures. Systems consisting in graphenic layers with structural and topological defects are investigated in their electronic and magnetic behaviors also in presence of metallic particles. More specifically, the book focuses on: - Electronic Properties of low dimensional nanostructures including negatively-curved carbon surfaces; Pariser-Parr-Pople model hamiltonian approach to graphene studies; - Topochemistry and Toporeactcivity of extended sp2-nanocarbons: PAH, fullerenes, nanoribbons, Moebius-like nanoribbons, nanotubes and grapheme; - Novel class of crystal networks arising from spanning fullerenes; - Nanostructures and eigenvectors of matrices and an extended treatise of topological invariants; - Enumeration hetero-fullerenes by Polya theory. Topological Modelling of Nanostructures and Extended Systems represents a valuable resource to advances graduates and researchers working in mathematics, chemistry, physics and material science.

Book The Mathematics and Topology of Fullerenes

Download or read book The Mathematics and Topology of Fullerenes written by Franco Cataldo and published by Springer Science & Business Media. This book was released on 2011-12-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics and Topology of Fullerenes presents a comprehensive overview of scientific and technical innovations in theoretical and experimental studies. Topics included in this multi-author volume are: Clar structures for conjugated nanostructures; counting polynomials of fullerenes; topological indices of fullerenes; the wiener index of nanotubes; toroidal fullerenes and nanostars; C60 Structural relatives: a topological study; local combinatorial characterization of fullerenes; computation of selected topological indices of C60 and C80 Fullerenes via the Gap Program; 4valent- analogues of fullerenes; a detailed atlas of Kekule structures of C60. The Mathematics and Topology of Fullerenes is targeted at advanced graduates and researchers working in carbon materials, chemistry and physics.

Book Exotic Properties of Carbon Nanomatter

Download or read book Exotic Properties of Carbon Nanomatter written by Mihai V. Putz and published by Springer. This book was released on 2015-03-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title reports the state-of-the-art advancements in modeling and characterization of fundamental and the recently designed carbon based nanocomposites (graphenes, fullerenes, polymers, crystals and allotropic forms). Written by leading experts in the field, the book explores the quantification, indexing, and interpretation of physical and chemical exotic properties related with space-time structure-evolution, phase transitions, chemical reactivity, and topology. Exotic Properties of Carbon Nanomatter is aimed at researchers in academia and industry.

Book Graphene based Nanotechnologies for Energy and Environmental Applications

Download or read book Graphene based Nanotechnologies for Energy and Environmental Applications written by Mohammad Jawaid and published by Elsevier. This book was released on 2019-08-02 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphene-Based Nanotechnologies for Energy and Environmental Applications explores how graphene-based materials are being used to make more efficient, reliable products and devices for energy storage and harvesting and environmental monitoring and purification. The book outlines the major sustainable, recyclable, and eco-friendly methods for using a range of graphene-based materials in innovative ways. It represents an important information source for materials scientists and engineers who want to learn more about the use of graphene-based nanomaterials to create the next generation of products and devices in energy and environmental science. Graphene-based nanotechnologies are at the heart of some of the most exciting developments in the fields of energy and environmental research. Graphene has exceptional properties, which are being used to create more effective products for electronic systems, environmental sensing devices, energy storage, electrode materials, fuel cell, novel nano-sorbents, membrane and photocatalytic degradation of environmental pollutants especially in the field of water and wastewater treatment. Covers synthesis, preparation and application of graphene based nanomaterials from different sources Demonstrates systematic approaches to the design, synthesis, characterization and applications of graphene-based nanocomposites in order to establish their important relationship with end-user applications Discusses the challenges in ensuring reliability and scalability of graphene-based nanotechnologies

Book Structure and Properties of Clusters  from a few Atoms to Nanoparticles

Download or read book Structure and Properties of Clusters from a few Atoms to Nanoparticles written by George Maroulis and published by CRC Press. This book was released on 2006-10-27 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on Clusters brings together contributions from a large number of specialists. A central element for all contributions is the use of advanced computational methodologies and their application to various aspects of structure, reactivity and properties of clusters. The size of clusters varies from a few atoms to nanoparticles. Special emphasis is given to bringing forth new insights on the structure and properties of these systems with an eye towards potential applications in Materials Science. Overal, the volume presents to the readers an amazing wealth of new results. Particular subjects include water clusters, Silicon, Iron, Nickel and Gold clusters, carbon-titanium microclusters and nanoparticles, fullerenes, carbon nanotubes, chiral carbon nanotubes, boron nanoclusters and more.

Book Elastic and Plastic Deformation of Carbon Nanotubes

Download or read book Elastic and Plastic Deformation of Carbon Nanotubes written by Hiroyuki Shima and published by CRC Press. This book was released on 2013-09-03 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carbon nanotubes offer huge potential in so many fields due in part to their significant mechanical properties, including extraordinary rigidity, resilience, toughness, and flexibility. Mechanical deformation of carbon nanotubes is known to cause considerable changes in their physical and chemical properties through the nontrivial structure-propert

Book Diamond and Related Nanostructures

Download or read book Diamond and Related Nanostructures written by Mircea Vasile Diudea and published by Springer Science & Business Media. This book was released on 2013-05-28 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past twenty years, the field of carbon structures has been invigorated by the discovery of fullerenes and carbon nanotubes. These nano-structured carbons have attracted a tremendous interest in the fundamental properties of discrete carbon molecules, leading to the discovery of novel complex crystalline and quasi-crystalline materials. As a consequence, a variety of applications have been developed, including technical and bio-medical materials and miniaturized tools. Diamond and Related Nanostructures focuses on the advances in the area of diamond-like carbon nanostructures (hyper-structures built from fullerenes and/or carbon nanotube junctions) and other related carbon nanostructures. Each chapter contributes to the topic from different fields, ranging from theory to synthesis and properties investigation of these new materials. This volume brings together the major findings in the field and provides a source of inspiration and understanding to advanced undergraduates, graduates, and researchers in the fields of Physics, Graph Theory, Crystallography, Computational and Synthetic Chemistry.

Book Mathematical Concepts in Organic Chemistry

Download or read book Mathematical Concepts in Organic Chemistry written by Ivan Gutman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is an attempt to outline some, certainly not all, mathematical aspects of modern organic chemistry. We have focused our attention on topological, graph-theoretical and group-theoretical features of organic chemistry, Parts A, B and C. The book is directed to all those chemists who use, or who intend to use mathe matics in their work, and especially to graduate students. The level of our exposition is adjusted to the mathematical background of graduate students of chemistry and only some knowledge of elementary algebra and calculus is required from the readers of the book. Some less well-known. but still elementary mathematical facts are collected in Appendices 1-4. This, however, does not mean that the mathematical rigor and numerous tedious, but necessary technical details have been avoided. The authors' intention was to show the reader not only how the results of mathematical chemistry look, but also how they can be obtained. In accordance with this, Part 0 of the book contains a few selected advanced topics which should give the reader the flavour of the contemporary research in mathe matical organic chemistry. One of the authors (I.G.) was an Alexander von Humboldt fellow in 1985 when the main part of the book was written. He gratefully acknowledges the financial support of the Alexander von Humboldt Foundation which enabled his stay at the Max-Planck-Institut fUr Strahlenchemie in M iilheim and the writing of this book.

Book Molecular Topology

    Book Details:
  • Author : Mircea V. Diudea
  • Publisher : Nova Biomedical Books
  • Release : 2001
  • ISBN :
  • Pages : 350 pages

Download or read book Molecular Topology written by Mircea V. Diudea and published by Nova Biomedical Books. This book was released on 2001 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most, yet not all, chemical substances consist of molecules. The fact that molecules have a 'structure' is known since the middle of the 19th century. Since then, one of the principal goals of chemistry is to establish the relationships between the chemical and physical properties of substance and the structure of the corresponding molecules. Countless results along these lines have been obtained along these lines and presented in different publications in this field. One group uses so-called topological indices. About 20 years ago, there were dozens of topological indices, but only a few with noteworthy chemical applications. Over time, their numbers have increased enormously. At this moment here is no theory that could serve as a reliable guide for solving this problem. This book is aimed at giving a reasonable comprehensive survey of the present, fin de siècle, state of art theory and practice of topological indices.

Book Carbon Nanotubes

Download or read book Carbon Nanotubes written by Michael J. O’Connell and published by CRC Press. This book was released on 2018-10-03 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their discovery more than a decade ago, carbon nanotubes (CNTs) have held scientists and engineers in captive fascination, seated on the verge of enormous breakthroughs in areas such as medicine, electronics, and materials science, to name but a few. Taking a broad look at CNTs and the tools used to study them, Carbon Nanotubes: Properties and Applications comprises the efforts of leading nanotube researchers led by Michael O’Connell, protégé of the late father of nanotechnology, Richard Smalley. Each chapter is a self-contained treatise on various aspects of CNT synthesis, characterization, modification, and applications. The book opens with a general introduction to the basic characteristics and the history of CNTs, followed by discussions on synthesis methods and the growth of “peapod” structures. Coverage then moves to electronic properties and band structures of single-wall nanotubes (SWNTs), magnetic properties, Raman spectroscopy of electronic and chemical behavior, and electromechanical properties and applications in NEMS (nanoelectromechanical systems). Turning to applications, the final sections of the book explore mechanical properties of SWNTs spun into fibers, sidewall functionalization in composites, and using SWNTs as tips for scanning probe microscopes. Taking a fresh look at this burgeoning field, Carbon Nanotubes: Properties and Applications points the way toward making CNTs commercially viable.

Book Carbon Nanotubes

Download or read book Carbon Nanotubes written by Stephanie Reich and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carbon nanotubes are exceptionally interesting from a fundamental research point of view. Many concepts of one-dimensional physics have been verified experimentally such as electron and phonon confinement or the one-dimensional singularities in the density of states; other 1D signatures are still under debate, such as Luttinger-liquid behavior. Carbon nanotubes are chemically stable, mechanically very strong, and conduct electricity. For this reason, they open up new perspectives for various applications, such as nano-transistors in circuits, field-emission displays, artificial muscles, or added reinforcements in alloys. This text is an introduction to the physical concepts needed for investigating carbon nanotubes and other one-dimensional solid-state systems. Written for a wide scientific readership, each chapter consists of an instructive approach to the topic and sustainable ideas for solutions. The former is generally comprehensible for physicists and chemists, while the latter enable the reader to work towards the state of the art in that area. The book gives for the first time a combined theoretical and experimental description of topics like luminescence of carbon nanotubes, Raman scattering, or transport measurements. The theoretical concepts discussed range from the tight-binding approximation, which can be followed by pencil and paper, to first-principles simulations. We emphasize a comprehensive theoretical and experimental understanding of carbon nanotubes including - general concepts for one-dimensional systems - an introduction to the symmetry of nanotubes - textbook models of nanotubes as narrow cylinders - a combination of ab-initio calculations and experiments - luminescence excitation spectroscopy linked to Raman spectroscopy - an introduction to the 1D-transport properties of nanotubes - effects of bundling on the electronic and vibrational properties and - resonance Raman scattering in nanotubes.

Book Recent Advances in Boron Containing Materials

Download or read book Recent Advances in Boron Containing Materials written by Metin Aydin and published by BoD – Books on Demand. This book was released on 2020-04-29 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to represent an overview of applications of boron-based materials in the field of material science to biomedicine. This text is a collection of selected research articles and reviews, including recent efforts in several applications of boron-containing materials. All chapters are written by researchers who are active on the frontline. The chapters in this book will be helpful for many students and researchers involved in the field of boron-based material

Book An Atlas of Fullerenes

    Book Details:
  • Author : P. W. Fowler
  • Publisher : Courier Corporation
  • Release : 2007-01-01
  • ISBN : 0486453626
  • Pages : 418 pages

Download or read book An Atlas of Fullerenes written by P. W. Fowler and published by Courier Corporation. This book was released on 2007-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the current state of theory in a new and lively field, this volume offers both students and researchers a practical guide. It features a comprehensive set of pictures of fullerene structures and tabulates their properties. In addition, it lists a computer program that will extend the tables as needed. Seven chapters of descriptive material precede over 200 pages of tables with corresponding diagrams and serve as a self-contained introduction. Topics include fullerene cages, electronic structure, steric strain, symmetry and spectroscopy, fullerene isomerization, and carbon gain and loss. Each chapter concludes with references and notes.

Book The Role of Topology in Materials

Download or read book The Role of Topology in Materials written by Sanju Gupta and published by Springer. This book was released on 2018-04-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure–property–function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.

Book Applications of Group Theory to Atoms  Molecules  and Solids

Download or read book Applications of Group Theory to Atoms Molecules and Solids written by Thomas Wolfram and published by Cambridge University Press. This book was released on 2014-01-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.