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Author : Richard E. Merrifield,Howard E. Simmons
Publisher : Unknown
Page : 233 pages
File Size : 51,7 Mb
Release : 1992
Category : Electronic
ISBN : OCLC:636955979
Author : Remi Chauvin,Christine Lepetit,Bernard Silvi,Esmail Alikhani
Publisher : Springer
Page : 586 pages
File Size : 55,6 Mb
Release : 2016-04-19
Category : Science
ISBN : 9783319290225
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.
Author : Richard E. Merrifield,Howard E. Simmons
Publisher : Wiley-Interscience
Page : 266 pages
File Size : 47,8 Mb
Release : 1989-03-20
Category : Mathematics
ISBN : UOM:39015016057054
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.
Author : Alexandru T. Balaban
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 44,5 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306469077
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.
Author : Danail Bonchev,Dennis H Rouvray
Publisher : CRC Press
Page : 392 pages
File Size : 45,6 Mb
Release : 2000-07-06
Category : Science
ISBN : 9056992406
Topology has been extensively applied in the study of chemically linked and knotted structures, and also in the study of many biologically significant molecules such as proteins and DNA. These are the themes that are addressed in this volume of the Mathematical Chemistry series. The topological chirality of knotted and linked molecular species and the invariants that may characterize them are explored in detail.
Author : D H Rouvray,R B King
Publisher : Elsevier
Page : 400 pages
File Size : 48,8 Mb
Release : 2002-04-01
Category : Science
ISBN : 9780857099617
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
Author : Erica Flapan
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,8 Mb
Release : 2000-07-31
Category : Mathematics
ISBN : 9781316583951
The applications of topological techniques for understanding molecular structures have become increasingly important over the past thirty years. In this topology text, the reader will learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite; all the relevant background is provided. The text is enhanced by nearly 200 illustrations and more than 100 exercises. Reading this fascinating book, undergraduate mathematics students can escape the world of pure abstract theory and enter that of real molecules, while chemists and biologists will find simple, clear but rigorous definitions of mathematical concepts they handle intuitively in their work.
Author : D Bonchev,D.H Rouvray
Publisher : CRC Press
Page : 354 pages
File Size : 47,8 Mb
Release : 1999-04-23
Category : Science
ISBN : 9056991744
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.
Author : Danail D. Bonchev,O.G. Mekenyan
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401112024
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.
Author : A. Graovac,I. Gotman,N. Trinajstic
Publisher : Springer Science & Business Media
Page : 131 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642930690
"The second step is to determine constitution, Le. which atoms are bonded to which and by what types of bond. The result is ex pressed by a planar graph (or the corresponding connectivity mat rix) •••• In constitutional formulae, the atoms are represented by letters and the bonds by lines. They describe the topology of the molecule." VLADIMIR PRELOG, Nobel Lecture, December l2;h 1975. In the present notes we describe the topological approach to the che mistry of conjugated molecules using graph-theoretical concepts. Con jugatedstructures may be conveniently studied using planar and connec ted graphs because they reflect in the simple way the connectivity of their pi-centers. Connectivity is important topological property of a molecule which allows a conceptual qualitative understanding, via a non numerical analysis, of many chemical phenomena or at least that part of phenomenon which depends on topology. This would not be possible sole ly by means of numerical (molecular orbital) analysis.
Author : R. Bruce King
Publisher : CRC Press
Page : 250 pages
File Size : 53,5 Mb
Release : 1992-12-01
Category : Science
ISBN : 0849342988
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.
Author : Paul G. Mezey
Publisher : Wiley-VCH
Page : 224 pages
File Size : 47,7 Mb
Release : 1993-08-26
Category : Science
ISBN : 0471187410
'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.
Author : Matti Hotokka,Erkki J. Brändas,Jean Maruani,Gerardo Delgado-Barrio
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 45,6 Mb
Release : 2013-09-13
Category : Science
ISBN : 9783319015293
Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology includes peer-reviewed contributions based on carefully selected presentations given at the 17th International Workshop on Quantum Systems in Chemistry, Physics, and Biology. New trends and state-of-the-art developments in the quantum theory of atomic and molecular systems, and condensed matter (including biological systems and nanostructures) are described by academics of international distinction.
Author : Mahima Ranjan Adhikari
Publisher : Springer
Page : 615 pages
File Size : 55,5 Mb
Release : 2016-09-16
Category : Mathematics
ISBN : 9788132228431
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.
Author : Patrick Bultinck,Hans De Winter,Wilfried Langenaeker,Jan P. Tollenare
Publisher : CRC Press
Page : 844 pages
File Size : 53,9 Mb
Release : 2003-12-17
Category : Medical
ISBN : 0203913396
Observing computational chemistry's proven value to the introduction of new medicines, Computational Medicinal Chemistry for Drug Discovery offers the techniques most frequently utilized by industry and academia for ligand design. Featuring contributions from more than 50 preeminent scientists, this book surveys molecular structure computation, intermolecular behavior, ligand-receptor interaction, and modeling. It also examines molecular mechanics, semi-empirical methods, wave function-based quantum chemistry, density functional theory, 3-D structure generation, and hybrid methods.