Topological Indices and Symmetry Group in Carbon Nanotubes

Topological Indices and Symmetry Group in Carbon Nanotubes PDF Author: Hamid Saati
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659423086
Category :
Languages : en
Pages : 124

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Book Description
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."

Topological Indices and Symmetry Group in Carbon Nanotubes

Topological Indices and Symmetry Group in Carbon Nanotubes PDF Author: Hamid Saati
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659423086
Category :
Languages : en
Pages : 124

Get Book Here

Book Description
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."

Distance, Symmetry, and Topology in Carbon Nanomaterials

Distance, Symmetry, and Topology in Carbon Nanomaterials PDF Author: Ali Reza Ashrafi
Publisher: Springer
ISBN: 3319315846
Category : Technology & Engineering
Languages : en
Pages : 481

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Book Description
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.

Topological Modelling of Nanostructures and Extended Systems

Topological Modelling of Nanostructures and Extended Systems PDF Author: Ali Reza Ashrafi
Publisher: Springer Science & Business Media
ISBN: 9400764138
Category : Science
Languages : en
Pages : 584

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Book Description
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.

The Mathematics and Topology of Fullerenes

The Mathematics and Topology of Fullerenes PDF Author: Franco Cataldo
Publisher: Springer Science & Business Media
ISBN: 9400702213
Category : Science
Languages : en
Pages : 294

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Book Description
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.

Exotic Properties of Carbon Nanomatter

Exotic Properties of Carbon Nanomatter PDF Author: Mihai V. Putz
Publisher: Springer
ISBN: 9401795673
Category : Science
Languages : en
Pages : 400

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Book Description
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.

Graphene-based Nanotechnologies for Energy and Environmental Applications

Graphene-based Nanotechnologies for Energy and Environmental Applications PDF Author: Mohammad Jawaid
Publisher: Elsevier
ISBN: 0128158123
Category : Technology & Engineering
Languages : en
Pages : 446

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Book Description
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

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

Structure and Properties of Clusters: from a few Atoms to Nanoparticles PDF Author: George Maroulis
Publisher: CRC Press
ISBN: 9067644560
Category : Mathematics
Languages : en
Pages : 213

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Book Description
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.

Elastic and Plastic Deformation of Carbon Nanotubes

Elastic and Plastic Deformation of Carbon Nanotubes PDF Author: Hiroyuki Shima
Publisher: CRC Press
ISBN: 9814364150
Category : Science
Languages : en
Pages : 270

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Book Description
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

Diamond and Related Nanostructures

Diamond and Related Nanostructures PDF Author: Mircea Vasile Diudea
Publisher: Springer Science & Business Media
ISBN: 9400763719
Category : Technology & Engineering
Languages : en
Pages : 395

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Book Description
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.

Carbon Nanotubes

Carbon Nanotubes PDF Author: Michael J. O’Connell
Publisher: CRC Press
ISBN: 1420004212
Category : Technology & Engineering
Languages : en
Pages : 339

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Book Description
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.