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When Topology Meets Chemistry

2000-07-31 Mathematics
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Release : 2000-07-31
Genre : Mathematics
Kind : eBook
Book Rating : 820/5 ( reviews)

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Book Synopsis When Topology Meets Chemistry by : Erica Flapan

Download or read book When Topology Meets Chemistry written by Erica Flapan. This book was released on 2000-07-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Tying the Knot

2017 Chemistry
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Release : 2017
Genre : Chemistry
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Tying the Knot by : Tarini S. Hardikar

Download or read book Tying the Knot written by Tarini S. Hardikar. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: Chirality (or handedness) is the property that a structure is "different" from its mirror image. Topology can be used to provide a rigorous framework for the notion of chirality. This project examines various types of chirality and discusses tools to detect chirality in graphs and knots. Notable theorems that are discussed in this work include ones that identify chirality using properties of link polynomials (HOMFLY polynomials), rigid vertex graphs, and knot linking numbers. Various other issues of chirality are explored, and some specially unique structures are discussed. This paper is borne out of reading Dr. Erica Flapan's book, When Topology Meets Chemistry. It follows the structure of the book closely, and in a sense, tells the same story, but as a modern adaptation. Every uncited theorem and definition and fact is from this book. The second part of this work focuses on using graph theory to better span molecular graphs. This part is significantly less explored, but nevertheless, presents some interesting prospects.

Chemical Topology

1999-04-23 Science
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Release : 1999-04-23
Genre : Science
Kind : eBook
Book Rating : 746/5 ( reviews)

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Book Synopsis Chemical Topology by : D Bonchev

Download or read book Chemical Topology written by D Bonchev. This book was released on 1999-04-23. 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.

Topological Polymer Chemistry

2022-02-25 Science
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Release : 2022-02-25
Genre : Science
Kind : eBook
Book Rating : 078/5 ( reviews)

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Book Synopsis Topological Polymer Chemistry by : Yasuyuki Tezuka

Download or read book Topological Polymer Chemistry written by Yasuyuki Tezuka. This book was released on 2022-02-25. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive description of topological polymers, an emerging research area in polymer science and polymer materials engineering. The precision polymer topology designing is critical to realizing the unique polymer properties and functions leading to their eventual applications. The prominent contributors are led by Principal Editor Yasuyuki Tezuka and Co-Editor Tetsuo Deguchi. Important ongoing achievements and anticipated breakthroughs in topological polymers are presented with an emphasis on the spectacular diversification of polymer constructions. The book serves readers collectively to acquire comprehensive insights over exciting innovations ongoing in topological polymer chemistry, encompassing topological geometry analysis, classification, physical characterization by simulation and the eventual chemical syntheses, with the supplementary focus on the polymer folding, invoked with the ongoing breakthrough of the precision AI prediction of protein folding. The current revolutionary developments in synthetic approaches specifically for single cyclic (ring) polymers and the topology-directed properties/functions uncovered thereby are outlined as a showcase example. This book is especially beneficial to academic personnel in universities and to researchers working in relevant institutions and companies. Although the level of the book is advanced, it can serve as a good reference book for graduate students and postdocs as a source of valuable knowledge of cutting-edge topics and progress in polymer chemistry.

Topological Polymer Chemistry: Progress Of Cyclic Polymer In Syntheses, Properties And Functions

2012-12-17 Science
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Release : 2012-12-17
Genre : Science
Kind : eBook
Book Rating : 293/5 ( reviews)

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Book Synopsis Topological Polymer Chemistry: Progress Of Cyclic Polymer In Syntheses, Properties And Functions by : Yasuyuki Tezuka

Download or read book Topological Polymer Chemistry: Progress Of Cyclic Polymer In Syntheses, Properties And Functions written by Yasuyuki Tezuka. This book was released on 2012-12-17. 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.

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