Ultra-wide Bandgap Semiconductor Materials

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Publisher : Elsevier
ISBN 13 : 0128172568
Total Pages : 506 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Ultra-wide Bandgap Semiconductor Materials by : Meiyong Liao

Download or read book Ultra-wide Bandgap Semiconductor Materials written by Meiyong Liao and published by Elsevier. This book was released on 2019-06-18 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ultra-wide Bandgap Semiconductors (UWBG) covers the most recent progress in UWBG materials, including sections on high-Al-content AlGaN, diamond, B-Ga2O3, and boron nitrides. The coverage of these materials is comprehensive, addressing materials growth, physics properties, doping, device design, fabrication and performance. The most relevant and important applications are covered, including power electronics, RF electronics and DUV optoelectronics. There is also a chapter on novel structures based on UWBG, such as the heterojunctions, the low-dimensional structures, and their devices. This book is ideal for materials scientists and engineers in academia and R&D searching for materials superior to silicon carbide and gallium nitride. - Provides a one-stop resource on the most promising ultra-wide bandgap semiconducting materials, including high-Al-content AlGaN, diamond, ß-Ga2O3, boron nitrides, and low-dimensional materials - Presents comprehensive coverage, from materials growth and properties, to device design, fabrication and performance - Features the most relevant applications, including power electronics, RF electronics and DUV optoelectronics

Functionalization of Graphene

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Publisher : John Wiley & Sons
ISBN 13 : 352767277X
Total Pages : 507 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Functionalization of Graphene by : Vasilios Georgakilas

Download or read book Functionalization of Graphene written by Vasilios Georgakilas and published by John Wiley & Sons. This book was released on 2014-04-03 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: All set to become the standard reference on the topic, this book covers the most important procedures for chemical functionalization, making it an indispensable resource for all chemists, physicists, materials scientists and engineers entering or already working in the field. Expert authors share their knowledge on a wide range of different functional groups, including organic functional groups, hydrogen, halogen, nanoparticles and polymers.

Quantum Dots for Quantum Information Technologies

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Publisher : Springer
ISBN 13 : 3319563785
Total Pages : 457 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Quantum Dots for Quantum Information Technologies by : Peter Michler

Download or read book Quantum Dots for Quantum Information Technologies written by Peter Michler and published by Springer. This book was released on 2017-06-01 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the most recent developments in quantum dot spin physics and the generation of deterministic superior non-classical light states with quantum dots. In particular, it addresses single quantum dot spin manipulation, spin-photon entanglement and the generation of single-photon and entangled photon pair states with nearly ideal properties. The role of semiconductor microcavities, nanophotonic interfaces as well as quantum photonic integrated circuits is emphasized. The latest theoretical and experimental studies of phonon-dressed light matter interaction, single-dot lasing and resonance fluorescence in QD cavity systems are also provided. The book is written by the leading experts in the field.

Layered 2D Materials and Their Allied Applications

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Publisher : John Wiley & Sons
ISBN 13 : 1119654963
Total Pages : 400 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Layered 2D Materials and Their Allied Applications by : Inamuddin

Download or read book Layered 2D Materials and Their Allied Applications written by Inamuddin and published by John Wiley & Sons. This book was released on 2020-06-23 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the discovery of graphene, two-dimensional layered materials (2DLMs) have been the central tool of the materials research community. The reason behind their importance is their superlative and unique electronic, optical, physical, chemical and mechanical properties in layered form rather than in bulk form. The 2DLMs have been applied to electronics, catalysis, energy, environment, and biomedical applications. The following topics are discussed in the book’s fifteen chapters: • The research status of the 2D metal-organic frameworks and the different techniques used to synthesize them. • 2D black phosphorus (BP) and its practical application in various fields. • Reviews the synthesis methods of MXenes and provides a detailed discussion of their structural characterization and physical, electrochemical and optical properties, as well as applications in catalysis, energy storage, environmental management, biomedicine, and gas sensing. • The carbon-based materials and their potential applications via the photocatalytic process using visible light irradiation. • 2D materials like graphene, TMDCs, few-layer phosphorene, MXene in layered form and their heterostructures. • The structure and applications of 2D perovskites. • The physical parameters of pristine layered materials, ZnO, transition metal dichalcogenides, and heterostructures of layered materials are discussed. • The coupling of graphitic carbon nitride with various metal sulfides and oxides to form efficient heterojunction for water purification. • The structural features, synthetic methods, properties, and different applications and properties of 2D zeolites. • The methods for synthesizing 2D hollow nanostructures are featured and their structural aspects and potential in medical and non-medical applications. • The characteristics and structural aspects of 2D layered double hydroxides (LDHs) and the various synthesis methods and role of LDH in non-medical applications as adsorbent, sensor, catalyst, etc. • The synthesis of graphene-based 2D layered materials synthesized by using top-down and bottom-up approaches where the main emphasis is on the hot-filament thermal chemical vapor deposition (HFTCVD) method. • The different properties of 2D h-BN and borophene and the various methods being used for the synthesis of 2D h-BN, along with their growth mechanism and transfer techniques. • The physical properties and current progress of various transition metal dichalcogenides (TMDC) based on photoactive materials for photoelectrochemical (PEC) hydrogen evolution reaction. • The state-of-the-art of 2D layered materials and associated devices, such as electronic, biosensing, optoelectronic, and energy storage applications.

2D Materials

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Publisher : Cambridge University Press
ISBN 13 : 1316738132
Total Pages : 521 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis 2D Materials by : Phaedon Avouris

Download or read book 2D Materials written by Phaedon Avouris and published by Cambridge University Press. This book was released on 2017-06-29 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn about the most recent advances in 2D materials with this comprehensive and accessible text. Providing all the necessary materials science and physics background, leading experts discuss the fundamental properties of a wide range of 2D materials, and their potential applications in electronic, optoelectronic and photonic devices. Several important classes of materials are covered, from more established ones such as graphene, hexagonal boron nitride, and transition metal dichalcogenides, to new and emerging materials such as black phosphorus, silicene, and germanene. Readers will gain an in-depth understanding of the electronic structure and optical, thermal, mechanical, vibrational, spin and plasmonic properties of each material, as well as the different techniques that can be used for their synthesis. Presenting a unified perspective on 2D materials, this is an excellent resource for graduate students, researchers and practitioners working in nanotechnology, nanoelectronics, nanophotonics, condensed matter physics, and chemistry.

Graphene

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Publisher : CRC Press
ISBN 13 : 1439861889
Total Pages : 374 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Graphene by : Wonbong Choi

Download or read book Graphene written by Wonbong Choi and published by CRC Press. This book was released on 2016-04-19 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the late 20th century, graphene-a one-atom-thick planar sheet of sp2-bonded carbon atoms densely packed in a honeycomb crystal lattice-has garnered appreciable attention as a potential next-generation electronic material due to its exceptional properties. These properties include high current density, ballistic transport, chemical inertness,

Chemical Vapor Deposition Growth and Characterization of Two-Dimensional Hexagonal Boron Nitride

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Author :
Publisher : Springer
ISBN 13 : 9811088098
Total Pages : 152 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Chemical Vapor Deposition Growth and Characterization of Two-Dimensional Hexagonal Boron Nitride by : Roland Yingjie Tay

Download or read book Chemical Vapor Deposition Growth and Characterization of Two-Dimensional Hexagonal Boron Nitride written by Roland Yingjie Tay and published by Springer. This book was released on 2018-06-20 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focuses on the growth of a new type of two-dimensional (2D) material known as hexagonal boron nitride (h-BN) using chemical vapor deposition (CVD). It also presents several significant breakthroughs in the authors’ understanding of the growth mechanism and development of new growth techniques, which are now well known in the field. Of particular importance is the pioneering work showing experimental proof that 2D crystals of h-BN can indeed be hexagonal in shape. This came as a major surprise to many working in the 2D field, as it had been generally assumed that hexagonal-shaped h-BN was impossible due to energy dynamics. Beyond growth, the thesis also reports on synthesis techniques that are geared toward commercial applications. Large-area aligned growth and up to an eightfold reduction in the cost of h-BN production are demonstrated. At present, all other 2D materials generally use h-BN as their dielectric layer and for encapsulation. As such, this thesis lays the cornerstone for using CVD 2D h-BN for this purpose.

Defects in Two-Dimensional Materials

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Publisher : Elsevier
ISBN 13 : 032390310X
Total Pages : 434 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Defects in Two-Dimensional Materials by : Rafik Addou

Download or read book Defects in Two-Dimensional Materials written by Rafik Addou and published by Elsevier. This book was released on 2022-02-14 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Defects in Two-Dimensional Materials addresses the fundamental physics and chemistry of defects in 2D materials and their effects on physical, electrical and optical properties. The book explores 2D materials such as graphene, hexagonal boron nitride (h-BN) and transition metal dichalcogenides (TMD). This knowledge will enable scientists and engineers to tune 2D materials properties to meet specific application requirements. The book reviews the techniques to characterize 2D material defects and compares the defects present in the various 2D materials (e.g. graphene, h-BN, TMDs, phosphorene, silicene, etc.). As two-dimensional materials research and development is a fast-growing field that could lead to many industrial applications, the primary objective of this book is to review, discuss and present opportunities in controlling defects in these materials to improve device performance in general or use the defects in a controlled way for novel applications. Presents the theory, physics and chemistry of 2D materials Catalogues defects of 2D materials and their impacts on materials properties and performance Reviews methods to characterize, control and engineer defects in 2D materials

Nanofabrication and its Application in Renewable Energy

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Author :
Publisher : Royal Society of Chemistry
ISBN 13 : 1782621318
Total Pages : 240 pages
Book Rating : 4.7/5 (826 download)

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Book Synopsis Nanofabrication and its Application in Renewable Energy by : Gang Zhang

Download or read book Nanofabrication and its Application in Renewable Energy written by Gang Zhang and published by Royal Society of Chemistry. This book was released on 2014-03-20 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanoscale materials and structures have attracted great attention in recent years because of their unique physical and chemical properties and potential use in energy transport and conversion. This book puts the subject into context by first looking at current synthesis methods for nanomaterials, from the bottom-up and top-down methods, followed by enhanced energy conversion efficiency at the nanoscale and then specific applications e.g. photovoltaic cells and nanogenerators. This authoritative and comprehensive book will be of interest to both the existing scientific community in this field, as well as for new people who wish to enter it.

Graphene

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Author :
Publisher : Elsevier
ISBN 13 : 0857099337
Total Pages : 401 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Graphene by : Viera Skakalova

Download or read book Graphene written by Viera Skakalova and published by Elsevier. This book was released on 2014-02-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphene: Properties, Preparation, Characterisation and Devices reviews the preparation and properties of this exciting material. Graphene is a single-atom-thick sheet of carbon with properties, such as the ability to conduct light and electrons, which could make it potentially suitable for a variety of devices and applications, including electronics, sensors, and photonics. Chapters in part one explore the preparation of , including epitaxial growth of graphene on silicon carbide, chemical vapor deposition (CVD) growth of graphene films, chemically derived graphene, and graphene produced by electrochemical exfoliation. Part two focuses on the characterization of graphene using techniques including transmission electron microscopy (TEM), scanning tunneling microscopy (STM), and Raman spectroscopy. These chapters also discuss photoemission of low dimensional carbon systems. Finally, chapters in part three discuss electronic transport properties of graphene and graphene devices. This part highlights electronic transport in bilayer graphene, single charge transport, and the effect of adsorbents on electronic transport in graphene. It also explores graphene spintronics and nano-electro-mechanics (NEMS). Graphene is a comprehensive resource for academics, materials scientists, and electrical engineers working in the microelectronics and optoelectronics industries. - Explores the graphene preparation techniques, including epitaxial growth on silicon carbide, chemical vapor deposition (CVD), chemical derivation, and electrochemical exfoliation - Focuses on the characterization of graphene using transmission electron microscopy (TEM), scanning tunneling microscopy (STM), and Raman spectroscopy - A comprehensive resource for academics, materials scientists, and electrical engineers

Graphene Materials

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Publisher :
ISBN 13 : 9789535148357
Total Pages : 0 pages
Book Rating : 4.1/5 (483 download)

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Book Synopsis Graphene Materials by : George Z. Kyzas

Download or read book Graphene Materials written by George Z. Kyzas and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Molecular Beam Epitaxy

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Publisher : John Wiley & Sons
ISBN 13 : 111935501X
Total Pages : 510 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Molecular Beam Epitaxy by : Hajime Asahi

Download or read book Molecular Beam Epitaxy written by Hajime Asahi and published by John Wiley & Sons. This book was released on 2019-04-15 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers both the fundamentals and the state-of-the-art technology used for MBE Written by expert researchers working on the frontlines of the field, this book covers fundamentals of Molecular Beam Epitaxy (MBE) technology and science, as well as state-of-the-art MBE technology for electronic and optoelectronic device applications. MBE applications to magnetic semiconductor materials are also included for future magnetic and spintronic device applications. Molecular Beam Epitaxy: Materials and Applications for Electronics and Optoelectronics is presented in five parts: Fundamentals of MBE; MBE technology for electronic devices application; MBE for optoelectronic devices; Magnetic semiconductors and spintronics devices; and Challenge of MBE to new materials and new researches. The book offers chapters covering the history of MBE; principles of MBE and fundamental mechanism of MBE growth; migration enhanced epitaxy and its application; quantum dot formation and selective area growth by MBE; MBE of III-nitride semiconductors for electronic devices; MBE for Tunnel-FETs; applications of III-V semiconductor quantum dots in optoelectronic devices; MBE of III-V and III-nitride heterostructures for optoelectronic devices with emission wavelengths from THz to ultraviolet; MBE of III-V semiconductors for mid-infrared photodetectors and solar cells; dilute magnetic semiconductor materials and ferromagnet/semiconductor heterostructures and their application to spintronic devices; applications of bismuth-containing III–V semiconductors in devices; MBE growth and device applications of Ga2O3; Heterovalent semiconductor structures and their device applications; and more. Includes chapters on the fundamentals of MBE Covers new challenging researches in MBE and new technologies Edited by two pioneers in the field of MBE with contributions from well-known MBE authors including three Al Cho MBE Award winners Part of the Materials for Electronic and Optoelectronic Applications series Molecular Beam Epitaxy: Materials and Applications for Electronics and Optoelectronics will appeal to graduate students, researchers in academia and industry, and others interested in the area of epitaxial growth.

Handbook of Physical Vapor Deposition (PVD) Processing

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0080946585
Total Pages : 947 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Physical Vapor Deposition (PVD) Processing by : D. M. Mattox

Download or read book Handbook of Physical Vapor Deposition (PVD) Processing written by D. M. Mattox and published by Cambridge University Press. This book was released on 2014-09-19 with total page 947 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers all aspects of physical vapor deposition (PVD) process technology from the characterizing and preparing the substrate material, through deposition processing and film characterization, to post-deposition processing. The emphasis of the book is on the aspects of the process flow that are critical to economical deposition of films that can meet the required performance specifications. The book covers subjects seldom treated in the literature: substrate characterization, adhesion, cleaning and the processing. The book also covers the widely discussed subjects of vacuum technology and the fundamentals of individual deposition processes. However, the author uniquely relates these topics to the practical issues that arise in PVD processing, such as contamination control and film growth effects, which are also rarely discussed in the literature. In bringing these subjects together in one book, the reader can understand the interrelationship between various aspects of the film deposition processing and the resulting film properties. The author draws upon his long experience with developing PVD processes and troubleshooting the processes in the manufacturing environment, to provide useful hints for not only avoiding problems, but also for solving problems when they arise. He uses actual experiences, called ""war stories"", to emphasize certain points. Special formatting of the text allows a reader who is already knowledgeable in the subject to scan through a section and find discussions that are of particular interest. The author has tried to make the subject index as useful as possible so that the reader can rapidly go to sections of particular interest. Extensive references allow the reader to pursue subjects in greater detail if desired. The book is intended to be both an introduction for those who are new to the field and a valuable resource to those already in the field. The discussion of transferring technology between R&D and manufacturing provided in Appendix 1, will be of special interest to the manager or engineer responsible for moving a PVD product and process from R&D into production. Appendix 2 has an extensive listing of periodical publications and professional societies that relate to PVD processing. The extensive Glossary of Terms and Acronyms provided in Appendix 3 will be of particular use to students and to those not fully conversant with the terminology of PVD processing or with the English language.

Hexagonal Boron Nitride

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Publisher : Elsevier
ISBN 13 : 0443188424
Total Pages : 668 pages
Book Rating : 4.4/5 (431 download)

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Book Synopsis Hexagonal Boron Nitride by : Kalim Deshmukh

Download or read book Hexagonal Boron Nitride written by Kalim Deshmukh and published by Elsevier. This book was released on 2024-05-31 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hexagonal Boron Nitride: Synthesis, Properties, and Applications offers a comprehensive approach to hexagonal boron nitride (h-BN), covering synthesis, exfoliation, properties, characterization, functionalization, heterostructures, nanocomposites, and modelling and simulation, and guiding the reader towards advanced applications in biomedicine, electronics, energy storage, wastewater treatment, and other areas.The book begins by introducing hexagonal boron nitride, discussing classification, structure, synthesis methods, exfoliation, and functionalization techniques. This is followed by in-depth coverage of properties and characterization, as well as heterostructures and other two-dimensional materials, as well as nanocomposites. The fourth section of the book examines specific target applications, covering a range of cutting-edge areas including micro- and nano-electronics, anti-friction and anti-corrosive coatings, bone tissue engineering, wound healing, nanomedicine, drug delivery, catalysis, water treatment, energy storage and conversion, sensing and bio-sensing, and fire-retardant applications. Finally, computational modelling and simulation, and environmental aspects, are addressed in detail.This is a valuable resource for researchers and advanced students across nanotechnology, materials science, chemistry, environmental science, chemical engineering, biomedicine, electronics, and engineering. In an industrial setting, this book supports scientists, engineers, and R&D professionals with an interest in advanced 2D materials or nanomaterials for advanced applications. - Presents the synthesis, properties, functionalization, and characterization methods for hexagonal boron nitride - Explores novel applications across biomedicine, electronics, energy storage, and water treatment - Addresses key challenges, such as biocompatibility, toxicity, and environmental and health impact

High Performance Non-Oxide Ceramics II

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Author :
Publisher : Springer
ISBN 13 : 3540456236
Total Pages : 180 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis High Performance Non-Oxide Ceramics II by : M. Jansen

Download or read book High Performance Non-Oxide Ceramics II written by M. Jansen and published by Springer. This book was released on 2003-08-25 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nitrides and carbides of boron and silicon are proving to be an excellent choice when selecting materials for the design of devices that are to be employed under particularly demanding environmental and thermal con- tions. The high degree of cross-linking, due to the preferred coordination numbers of the predominantly covalently bonded constituents equalling or exceeding three, lends these non-oxidic ceramics a high kinetic stability, and is regarded as the microscopic origin of their impressive thermal and mechanical durability. Thus it does not come as a surprise that the chemistry, the physical properties and the engineering of the corresponding binary, ternary, and even quaternary compounds have been the subject of intensive and sustained efforts in research and development. In the five reviews presented in the volumes 101 and 102 of "Structure and Bonding" an attempt has been made to cover both the essential and the most recent advances achieved in this particular field of materials research. The scope of the individual contributions is such as to address both graduate students, specializing in ceramic materials, and all scientists in academia or industry dealing with materials research and development. Each review provides, in its introductory part, the chemical, physical and, to some extent, historical background of the respective material, and then focuses on the most relevant and the most recent achievements.

Graphene Science Handbook, Six-Volume Set

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Author :
Publisher : CRC Press
ISBN 13 : 1466591196
Total Pages : 3379 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Graphene Science Handbook, Six-Volume Set by : Mahmood Aliofkhazraei

Download or read book Graphene Science Handbook, Six-Volume Set written by Mahmood Aliofkhazraei and published by CRC Press. This book was released on 2016-04-26 with total page 3379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphene is the strongest material ever studied and can be an efficient substitute for silicon. This six-volume handbook focuses on fabrication methods, nanostructure and atomic arrangement, electrical and optical properties, mechanical and chemical properties, size-dependent properties, and applications and industrialization. There is no other major reference work of this scope on the topic of graphene, which is one of the most researched materials of the twenty-first century. The set includes contributions from top researchers in the field and a foreword written by two Nobel laureates in physics. Volumes in the set: K20503 Graphene Science Handbook: Mechanical and Chemical Properties (ISBN: 9781466591233) K20505 Graphene Science Handbook: Fabrication Methods (ISBN: 9781466591271) K20507 Graphene Science Handbook: Electrical and Optical Properties (ISBN: 9781466591318) K20508 Graphene Science Handbook: Applications and Industrialization (ISBN: 9781466591332) K20509 Graphene Science Handbook: Size-Dependent Properties (ISBN: 9781466591356) K20510 Graphene Science Handbook: Nanostructure and Atomic Arrangement (ISBN: 9781466591370)

Graphene Chemistry

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119942128
Total Pages : 496 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Graphene Chemistry by : De-en Jiang

Download or read book Graphene Chemistry written by De-en Jiang and published by John Wiley & Sons. This book was released on 2013-10-14 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the chemical aspects of graphene as a novel 2D material and how do they relate to the molecular structure? This book addresses these important questions from a theoretical and computational standpoint. Graphene Chemistry: Theoretical Perspectives presents recent exciting developments to correlate graphene’s properties and functions to its structure through state-of-the-art computational studies. This book focuses on the chemistry aspect of the structure-property relationship for many fascinating derivatives of graphene; various properties such as electronic structure, magnetism, and chemical reactivity, as well as potential applications in energy storage, catalysis, and nanoelectronics are covered. The book also includes two chapters with significant experimental portions, demonstrating how deep insights can be obtained by joint experimental and theoretical efforts. Topics covered include: Graphene ribbons: Edges, magnetism, preparation from unzipping, and electronic transport Nanographenes: Properties, reactivity, and synthesis Clar sextet rule in nanographene and graphene nanoribbons Porous graphene, nanomeshes, and graphene-based architecture and assemblies Doped graphene: Theory, synthesis, characterization and applications Mechanisms of graphene growth in chemical vapor deposition Surface adsorption and functionalization of graphene Conversion between graphene and graphene oxide Applications in gas separation, hydrogen storage, and catalysis Graphene Chemistry: Theoretical Perspectives provides a useful overview for computational and theoretical chemists who are active in this field and those who have not studied graphene before. It is also a valuable resource for experimentalist scientists working on graphene and related materials, who will benefit from many concepts and properties discussed here.