Journal of Mathematical Chemistry

, Volume 38, Issue 2, pp 233–246 | Cite as

On the number of Kekulé structures in capped zigzag nanotubes

  • Jianguo Qian
  • Fuji Zhang


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.


Kekulé structure capped zigzag nanotube 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Mathematics and Science College of Xiamen UniversityFujianPR China

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