Topology of Polymers
Topology of Polymers
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DOI：
10.1007/978-4-431-56888-9
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发表时间：
2019-12
期刊：
影响因子：
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通讯作者：
K. Shimokawa;K. Ishihara;Y. Tezuka
中科院分区：
文献类型：
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作者：
K. Shimokawa;K. Ishihara;Y. Tezuka
人们越来越认识到拓扑结构在各个领域的重要性，包括聚合物化学。我们通过拓扑学（Shimokawa和Ishihara）和高分子化学（Tezuka）的密切合作，从数学和化学的角度讨论了聚合物的拓扑结构。我们涵盖了应用于聚合物的基本和选定的拓扑主题，旨在通过数学和聚合物材料科学之间的独特相互作用提供新的见解。我们应用图论分析多环聚合物的结构，并使用术语定义其命名。我们讨论了多环聚合物的类型，如螺环，桥接，稠合和混合形式，以及结构异构体;还提供了多环聚合物的枚举。利用纽结理论，我们还讨论了多环聚合物的拓扑异构体和手性。此外，我们还讨论了多环聚合物在实际应用中的图论和纽结理论性质。
There is a growing awareness of the importance of topology in various fields, including polymer chemistry. We discuss the topology of polymers from both mathematical and chemical viewpoints via a close collaboration of topology (Shimokawa and Ishihara) and polymer chemistry (Tezuka). We cover fundamental and selected topology topics as applied to polymers with the goal to provide novel insights revealed through the unique interaction between mathematics and polymer materials science.We apply graph theory to analyze structures of multicyclic polymers and use terminologies to define their nomenclature. We discuss the types of multicyclic polymers, such as spiro, bridged, fused and hybrid forms, and constitutional isomers; the enumeration of multicyclic polymers is also provided. Using knot theory, we also discuss topological isomers and chirality of multicyclic polymers. In addition, we discuss the graph-theoretical and knot-theoretical properties of multicyclic polymers in practice.