On the number of Kekulé structures in capped zigzag nanotubes
On the number of Kekulé structures in capped zigzag nanotubes
复制标题
DOI：
10.1007/s10910-005-5410-z
复制
发表时间：
2005-08
影响因子：
1.7
通讯作者：
Jianguo Qian;Fuji Zhang
中科院分区：
文献类型：
--
作者：
Jianguo Qian;Fuji Zhang
建立了两个计算一般带帽锯齿形纳米管中Kekulé结构数目的理论公式：一个是利用转移矩阵技术，另一个是利用转移矩阵的特征值，揭示了该指数的渐近行为。有效地，根据小管的对称方面，传递矩阵的阶数可以显著降低。作为应用，给出了四种类型的封闭表达式，并列出了长度不超过50的相应数值结果。
Two theoretical formulae for the number of Kekulé structures in general capped zigzag nanotubes are established: one of which is by using the techniques of the transfer matrices, the other involves the eigenvalues of the transfer matrix which reveals the asymptotic behaviour of this index. In effective, according to the symmetric aspect of the tubule, the order of the transfer matrix could be notably decreased. As an application, the closed expressions for four types are given out and the relevant numerical results for those of length up to 50 are listed.