Molecular Design and Mathematical Analysis of Carbon Nanotube Links

Yan-Mei YANG; Wen-Yuan QIU

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Molecular Design and Mathematical Analysis of Carbon Nanotube Links

机译：碳纳米管链节的分子设计和数学分析

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Similar to polyhedral links, carbon nanotube links are interlinked and interlocked knots with nanotube sharps. In this paper a novel constructional method is described based on the structure of carbon nanotube and the knowledge of polyhedral links. Two types of carbon nanotube links are introduced and analyzed: (5, 0) and (5, 5) carbon nanotube links, both being D5 or C5 symmetric. The model opens a door for molecular design and mathematical analysis on nanotube structures By assigning an orientation to the links we analyze the mathematical properties of these oriented links. Our results show that both types of links are chiral. The recurrence formulae for the writhe, self-writhe, linking number and components of these links are also established.

机译：类似于多面体链节，碳纳米管链节与碳纳米管尖头相互链接并互锁。本文基于碳纳米管的结构和多面体连接的知识，描述了一种新颖的构造方法。引入并分析了两种类型的碳纳米管链接：（5，0）和（5，5）碳纳米管链接，它们都是D5或C5对称的。该模型为纳米管结构的分子设计和数学分析打开了一扇门。通过为链接指定方向，我们可以分析这些定向链接的数学特性。我们的结果表明，两种类型的链接都是手性的。还建立了这些链接的循环，自旋，链接数和组成部分的重复公式。

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《Match》 |2007年第3期|共12页
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Yan-Mei YANG; Wen-Yuan QIU;
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中图分类化学;
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机译：碳纳米管链节的分子设计和数学分析
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机译：宏观交联的纯碳纳米管材料和CNT /碳纤维混杂复合材料：超分子结构和新的失效模式研究。

Molecular Design and Mathematical Analysis of Carbon Nanotube Links

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