Topological Methods In Chemistry

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Topological Methods in Chemistry

Author : Richard E. Merrifield
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Topological Methods in Chemistry by : Richard E. Merrifield

Download or read book Topological Methods in Chemistry written by Richard E. Merrifield and published by Wiley-Interscience. This book was released on 1989-03-20 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces a new method and language, based on finite topological spaces, for investigating molecular structure. Eschews the ``theorem-proof-remarks'' format of mathematics in favor of a more readable style commonly used in physical science. Part I develops the mathematical machinery which can serve as an analytical tool to investigate nonmetric aspects of chemical structure. Specific topics covered include set theory, lattices, graph theory, connectivity, classification of spaces, combinatorics, and functions and continuity. Part II explains the application of the above concepts to molecular structure. Chapters cover the bond topology, the graph topology, duplex spaces, and the topology of chemical reactions. Eight appendixes cover ancillary topics.

Applications of Topological Methods in Molecular Chemistry

Author : Remi Chauvin
Publisher : Springer
ISBN 13 : 3319290223
Total Pages : 582 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Applications of Topological Methods in Molecular Chemistry by : Remi Chauvin

Download or read book Applications of Topological Methods in Molecular Chemistry written by Remi Chauvin and published by Springer. This book was released on 2016-04-19 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first edited volume that features two important frameworks, Hückel and quantum chemical topological analyses. The contributors, which include an array of academics of international distinction, describe recent applications of such topological methods to various fields and topics that provide the reader with the current state-of-the-art and give a flavour of the wide range of their potentialities.

Topology in Chemistry

Author : D H Rouvray
Publisher : Elsevier
ISBN 13 : 0857099612
Total Pages : 400 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Topology in Chemistry by : D H Rouvray

Download or read book Topology in Chemistry written by D H Rouvray and published by Elsevier. This book was released on 2002-04-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses a number of topological themes of direct relevance to chemists. Topological concepts are now regularly applied in wide areas of chemistry including molecular engineering and design, chemical toxicology, the study of molecular shape, crystal and surface structures, chemical bonding, macromolecular species such as polymers and DNA, and environmental chemistry. Currently, the design and synthesis of new drugs and agrochemicals are of especial importance. The book's prime focus is on the role played by topological indices in the description and characterisation of molecular species. The Wiener index along with a variety of other major topological indices, are discussed with particular reference to the powerful and much used connectivity indices. In this book an international team of leading experts review their respective fields and present their findings.The considerable benefits offered by topological indices in the investigation of chemical problems in science, medicine, and industry are highlighted. The volume records proceedings of the Harry Wiener Memorial Conference on the Role of Topology in Chemistry, held at the University of Georgia in March 2001, and serves as a fitting tribute to the chemical contributions of the late Harry Wiener. - Focuses on the role played by topological indices in the description and characterisation of molecular species - Records the proceedings of the Harry Weiner Memorial Conference on the Role of Topology in Chemistry, held at the University of Georgia in March 2001 - Along with a variety of other major topological indices, the Wiener index is discussed with particular reference to the powerful and much-used connectivity indices

From Chemical Topology to Three-Dimensional Geometry

Author : Alexandru T. Balaban
Publisher : Springer Science & Business Media
ISBN 13 : 0306469073
Total Pages : 436 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis From Chemical Topology to Three-Dimensional Geometry by : Alexandru T. Balaban

Download or read book From Chemical Topology to Three-Dimensional Geometry written by Alexandru T. Balaban and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even high-speed supercomputers cannot easily convert traditional two-dimensional databases from chemical topology into the three-dimensional ones demanded by today's chemists, particularly those working in drug design. This fascinating volume resolves this problem by positing mathematical and topological models which greatly expand the capabilities of chemical graph theory. The authors examine QSAR and molecular similarity studies, the relationship between the sequence of amino acids and the less familiar secondary and tertiary protein structures, and new topological methods.

Chemical Topology

Author : D Bonchev
Publisher : CRC Press
ISBN 13 : 9789056991746
Total Pages : 354 pages
Book Rating : 4.9/5 (917 download)

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Book Synopsis Chemical Topology by : D Bonchev

Download or read book Chemical Topology written by D Bonchev and published by CRC Press. This book was released on 1999-04-23 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is becoming increasingly important in chemistry because of its rapidly growing number of applications. Here, its many uses are reviewed and the authors anticipate what future developments might bring. This work shows how significant new insights can be gained by representing molecular species as topological structures known as topographs. The text explores carbon structures, establishing how the stability of fullerene species can be accounted for and also predicting which fullerenes will be most stable. It is pointed out that molecular topology, rather than molecular geometry, characterizes molecular shape and various tools for shape characterization are described. Several of the fascinating ideas that arise from regarding topology as a unifying principle in chemical bonding theory are discussed, and in particular, the novel concept of the molecular topoid is shown to have numerous uses. The topological description of polymers is examined and the reader is gently guided through the realms of branched and tangled polymers. Overall, this work outlines the fact that topology is not only a theoretical discipline but also one that has practical applications and high relevance to the whole domain of chemistry.

Shape in Chemistry

Author : Paul G. Mezey
Publisher : Wiley-VCH
ISBN 13 : 9780471187417
Total Pages : 224 pages
Book Rating : 4.1/5 (874 download)

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Book Synopsis Shape in Chemistry by : Paul G. Mezey

Download or read book Shape in Chemistry written by Paul G. Mezey and published by Wiley-VCH. This book was released on 1993-08-26 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Shape in Chemistry' looks at molecular shape from a unique perspective: It introduces the reader to the topological concepts and methods of precise shape characterization that are applicable for direct, non-visual description and analysis of general molecular shapes. The author provides a pictorial introduction to all the topological tools necessary for the subjects discussed. Mathematical description is also provided at an easily comprehensible level. New concepts are introduced beginning at the familiar level of stereochemistry and lead on to more advanced topological shape analysis methods. The structure of the book reflects the author's desire to bring the reader to an early appreciation of the power of topology in chemistry. After a brief review of the quantum chemical concept, the author compares the merits of visual, computer graphics methods and nonvisual, algorithmic shape analysis methods. The book ends with the concepts of approximate symmetry and various generalizations of symmetry. 'Shape in Chemistry' is surely destined to become standard reading in the field. It presents a valuable addition to the literature on shape and modeling of molecules for non-specialists organic, physical and medical chemists, researchers in various aspects of QSAR and pharmacological drug design and advanced undergraduate and graduate students.

Graph Theoretical Approaches to Chemical Reactivity

Author : Danail D. Bonchev
Publisher : Springer Science & Business Media
ISBN 13 : 9401112029
Total Pages : 291 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Graph Theoretical Approaches to Chemical Reactivity by : Danail D. Bonchev

Download or read book Graph Theoretical Approaches to Chemical Reactivity written by Danail D. Bonchev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The progress in computer technology during the last 10-15 years has enabled the performance of ever more precise quantum mechanical calculations related to structure and interactions of chemical compounds. However, the qualitative models relating electronic structure to molecular geometry have not progressed at the same pace. There is a continuing need in chemistry for simple concepts and qualitatively clear pictures that are also quantitatively comparable to ab initio quantum chemical calculations. Topological methods and, more specifically, graph theory as a fixed-point topology, provide in principle a chance to fill this gap. With its more than 100 years of applications to chemistry, graph theory has proven to be of vital importance as the most natural language of chemistry. The explosive development of chemical graph theory during the last 20 years has increasingly overlapped with quantum chemistry. Besides contributing to the solution of various problems in theoretical chemistry, this development indicates that topology is an underlying principle that explains the success of quantum mechanics and goes beyond it, thus promising to bear more fruit in the future.

Topological Polymer Chemistry

Author : Yasuyuki Tezuka
Publisher : World Scientific
ISBN 13 : 9814401285
Total Pages : 365 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topological Polymer Chemistry by : Yasuyuki Tezuka

Download or read book Topological Polymer Chemistry written by Yasuyuki Tezuka and published by World Scientific. This book was released on 2013 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are examples aplenty in the macroscopic world that demonstrate the form of objects directing their functions and properties. On the other hand, the fabrication of extremely small objects having precisely defined structures has only recently become an attractive challenge, which is now opening the door to nanoscience and nanotechnology.In the field of synthetic polymer chemistry, a number of critical breakthroughs have been achieved during the first decade of this century to produce an important class of polymers having a variety of cyclic and multicyclic topologies. These developments now offer unique opportunities in polymer materials design to create unprecedented properties and functions simply based on the form, i.e. topology, of polymer molecules.In this book on topological polymer chemistry, the important developments in this growing area will be collected for the first time, with particular emphasis on new conceptual insights for polymer chemistry and polymer materials. The book will systematically review topological polymer chemistry from basic aspects to practice, and give a broad overview of cyclic polymers covering new synthesis, structure characterization, basic properties/functions and the eventual applications.

Applications of Graph Theory and Topology in Inorganic Cluster and Coordination Chemistry

Author : R. Bruce King
Publisher : CRC Press
ISBN 13 : 9780849342981
Total Pages : 250 pages
Book Rating : 4.3/5 (429 download)

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Book Synopsis Applications of Graph Theory and Topology in Inorganic Cluster and Coordination Chemistry by : R. Bruce King

Download or read book Applications of Graph Theory and Topology in Inorganic Cluster and Coordination Chemistry written by R. Bruce King and published by CRC Press. This book was released on 1992-12-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Graph Theory and Topology in Inorganic Cluster and Coordination Chemistry is a text-reference that provides inorganic chemists with a rudimentary knowledge of topology, graph theory, and related mathematical disciplines. The book emphasizes the application of these topics to metal clusters and coordination compounds. The book's initial chapters present background information in topology, graph theory, and group theory, explaining how these topics relate to the properties of atomic orbitals and are applied to coordination polyhedra. Subsequent chapters apply these ideas to the structure and chemical bonding in diverse types of inorganic compounds, including boron cages, metal clusters, solid state materials, metal oxide derivatives, superconductors, icosahedral phases, and carbon cages (fullerenes). The book's final chapter introduces the application of topology and graph theory for studying the dynamics of rearrangements in coordination and cluster polyhedra.

Molecular Topology

Author : Mircea V. Diudea
Publisher : Nova Biomedical Books
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Molecular Topology by : Mircea V. Diudea

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.

The Quantum Theory of Atoms in Molecules

Author : Chérif F. Matta
Publisher : John Wiley & Sons
ISBN 13 : 3527307486
Total Pages : 567 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis The Quantum Theory of Atoms in Molecules by : Chérif F. Matta

Download or read book The Quantum Theory of Atoms in Molecules written by Chérif F. Matta and published by John Wiley & Sons. This book was released on 2007-04-09 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book distills the knowledge gained from research into atoms in molecules over the last 10 years into a unique, handy reference. Throughout, the authors address a wide audience, such that this volume may equally be used as a textbook without compromising its research-oriented character. Clearly structured, the text begins with advances in theory before moving on to theoretical studies of chemical bonding and reactivity. There follow separate sections on solid state and surfaces as well as experimental electron densities, before finishing with applications in biological sciences and drug-design. The result is a must-have for physicochemists, chemists, physicists, spectroscopists and materials scientists.

Topological Data Analysis for Genomics and Evolution

Author : Raúl Rabadán
Publisher : Cambridge University Press
ISBN 13 : 1108753396
Total Pages : 521 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Topological Data Analysis for Genomics and Evolution by : Raúl Rabadán

Download or read book Topological Data Analysis for Genomics and Evolution written by Raúl Rabadán and published by Cambridge University Press. This book was released on 2019-10-31 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biology has entered the age of Big Data. The technical revolution has transformed the field, and extracting meaningful information from large biological data sets is now a central methodological challenge. Algebraic topology is a well-established branch of pure mathematics that studies qualitative descriptors of the shape of geometric objects. It aims to reduce questions to a comparison of algebraic invariants, such as numbers, which are typically easier to solve. Topological data analysis is a rapidly-developing subfield that leverages the tools of algebraic topology to provide robust multiscale analysis of data sets. This book introduces the central ideas and techniques of topological data analysis and its specific applications to biology, including the evolution of viruses, bacteria and humans, genomics of cancer and single cell characterization of developmental processes. Bridging two disciplines, the book is for researchers and graduate students in genomics and evolutionary biology alongside mathematicians interested in applied topology.

Basic Algebraic Topology and its Applications

Author : Mahima Ranjan Adhikari
Publisher : Springer
ISBN 13 : 813222843X
Total Pages : 628 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Basic Algebraic Topology and its Applications by : Mahima Ranjan Adhikari

Download or read book Basic Algebraic Topology and its Applications written by Mahima Ranjan Adhikari and published by Springer. This book was released on 2016-09-16 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.

Materials Informatics

Author : Olexandr Isayev
Publisher : John Wiley & Sons
ISBN 13 : 3527341218
Total Pages : 304 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Materials Informatics by : Olexandr Isayev

Download or read book Materials Informatics written by Olexandr Isayev and published by John Wiley & Sons. This book was released on 2019-12-04 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides everything readers need to know for applying the power of informatics to materials science There is a tremendous interest in materials informatics and application of data mining to materials science. This book is a one-stop guide to the latest advances in these emerging fields. Bridging the gap between materials science and informatics, it introduces readers to up-to-date data mining and machine learning methods. It also provides an overview of state-of-the-art software and tools. Case studies illustrate the power of materials informatics in guiding the experimental discovery of new materials. Materials Informatics: Methods, Tools and Applications is presented in two parts?Methodological Aspects of Materials Informatics and Practical Aspects and Applications. The first part focuses on developments in software, databases, and high-throughput computational activities. Chapter topics include open quantum materials databases; the ICSD database; open crystallography databases; and more. The second addresses the latest developments in data mining and machine learning for materials science. Its chapters cover genetic algorithms and crystal structure prediction; MQSPR modeling in materials informatics; prediction of materials properties; amongst others. -Bridges the gap between materials science and informatics -Covers all the known methodologies and applications of materials informatics -Presents case studies that illustrate the power of materials informatics in guiding the experimental quest for new materials -Examines the state-of-the-art software and tools being used today Materials Informatics: Methods, Tools and Applications is a must-have resource for materials scientists, chemists, and engineers interested in the methods of materials informatics.

Computational Medicinal Chemistry for Drug Discovery

Author : Patrick Bultinck
Publisher : CRC Press
ISBN 13 : 0824758633
Total Pages : 829 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Computational Medicinal Chemistry for Drug Discovery by : Patrick Bultinck

Download or read book Computational Medicinal Chemistry for Drug Discovery written by Patrick Bultinck and published by CRC Press. This book was released on 2003-12-17 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: Observing computational chemistry's proven value to the introduction of new medicines, this reference offers the techniques most frequently utilized by industry and academia for ligand design. Featuring contributions from more than fifty pre-eminent scientists, Computational Medicinal Chemistry for Drug Discovery surveys molecular structure computation, intermolecular behavior, ligand-receptor interaction, and modeling responding to market demands in its selection and authoritative treatment of topics. The book examines molecular mechanics, semi-empirical methods, wave function-based quantum chemistry, density functional theory, 3-D structure generation, and hybrid methods.

Topological Data Analysis for Scientific Visualization

Author : Julien Tierny
Publisher : Springer
ISBN 13 : 3319715070
Total Pages : 158 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Topological Data Analysis for Scientific Visualization by : Julien Tierny

Download or read book Topological Data Analysis for Scientific Visualization written by Julien Tierny and published by Springer. This book was released on 2018-01-16 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data. Theoretical concepts are presented in a painstaking but intuitive manner, with numerous high-quality color illustrations. Key algorithms for the computation and simplification of topological data representations are described in detail, and their application is carefully demonstrated in a chapter dedicated to concrete use cases. With its fine balance between theory and practice, "Topological Data Analysis for Scientific Visualization" constitutes an appealing introduction to the increasingly important topic of topological data analysis for lecturers, students and researchers.

Chemical Graph Theory

Author : D Bonchev
Publisher : Routledge
ISBN 13 : 1351461591
Total Pages : 310 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Chemical Graph Theory by : D Bonchev

Download or read book Chemical Graph Theory written by D Bonchev and published by Routledge. This book was released on 2018-05-11 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the fundamentals of graph theory and then goes on to discuss specific chemical applications. Chapter 1 provides a historical setting for the current upsurge of interest in chemical graph theory. Chapter 2 gives a full background of the basic ideas and mathematical formalism of graph theory and includes such chemically relevant notions as connectedness, graph matrix representations, metric properties, symmetry and operations on graphs. This is followed by a discussion on chemical nomenclature and the trends in its rationalization by using graph theory, which has important implications for the storage and retrieval of chemical information. This volume also contains a detailed discussion of the relevance of graph-theoretical polynomials; it describes methodologies for the enumeration of isomers, incorporating the classical Polya method, as well as more recent approaches.