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.
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First Sentence:
Topology is the mathematical study of the relationships that exist between either points or objects in n-dimensional space. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
interior filling animals, fullerene polyhedra, homeomorphism concept, pyracylene transformations, multicentered bonds, fragment density matrices, leapfrog transformation, modular condition, symmetry deficiency, chirality measure, chemical topology, molecular graph, homological series, delocalized bonds, topology concepts, cyclomatic number, reptation time, net curvature, chirality properties, fullerene structures, chemical graph theory, lattice animals, mathematical chemistry, star polymers, planar net Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, New Developments, Academic Press, Three-Dimensional Molecular Topology, John Wiley, Springer Verlag, Abacus Press, Chem Soc, Boca Raton, Kluwer Academic Publ, Low Density Glue, Adjustable Density Matrix Assembler, Faraday Trans, Graph Theoretical Approaches, Moscow University Press, Nauka Publ, Oxford University Press, Plenum Press, Research Studies Press, Three-Dimensional Geometry, University of Georgia New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Topology is the mathematical study of the relationships that exist between either points or objects in n-dimensional space. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
interior filling animals, fullerene polyhedra, homeomorphism concept, pyracylene transformations, multicentered bonds, fragment density matrices, leapfrog transformation, modular condition, symmetry deficiency, chirality measure, chemical topology, molecular graph, homological series, delocalized bonds, topology concepts, cyclomatic number, reptation time, net curvature, chirality properties, fullerene structures, chemical graph theory, lattice animals, mathematical chemistry, star polymers, planar net Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, New Developments, Academic Press, Three-Dimensional Molecular Topology, John Wiley, Springer Verlag, Abacus Press, Chem Soc, Boca Raton, Kluwer Academic Publ, Low Density Glue, Adjustable Density Matrix Assembler, Faraday Trans, Graph Theoretical Approaches, Moscow University Press, Nauka Publ, Oxford University Press, Plenum Press, Research Studies Press, Three-Dimensional Geometry, University of Georgia New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 44
books:
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- Organic Chemistry by Wiley on page 261, page 262, and page 263
- Graph Theory and Topology in Chemistry (Studies in Physical and Theoretical Chemistry) by R. Bruce King on page 38, page 79, and page 257
- Graph Theory (Graduate Texts in Mathematics) by Reinhard Diestel on page 80, page 164, and page 259
- Topological Graph Theory (Dover Books on Mathematics) by Jonathan L. Gross on page 79, and page 259
- Molecular Structure and Energetics, Physical Measurements (Volume 2) by Joel F. Liebman on page 83, and page 261
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