Kekulé count in tubular hydrocarbons

Match

Volumn 33, Issue , 1996, Pages 169-241

  Sachs, Horst ^a   Hansen, Pierre ^b   Zheng, Maolin ^b  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

^b HEC MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012286389     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. S. Iijima, Helical Microtubules of Graphitic Carbon, Nature 354 (1991) 56-58.
2. J. W. Mintmire, B. I. Dunlap and C. T. White, Are Fullerene Tubules Metallic? Physical Review letters, 68 (1992) 631-634.
3. T. W. Ebbesen and P. M. Ajayan, Large-scale Synthesis of Carbon Nanotubes, Nature, 358 (1992) 220-222.
4. N. Hamada, S. Sawada and A. Oshiyama, New One-dimensional Conductor: Graphitic Microtubules, Physical Review Letters, 68 (1992) 1579-1581.
5. P. M. Ajayan and S. Iijima, Capillarity-induced Filling of Carbon Nanotubes, Nature, 361 (1993) 333-334.
6. P. M. Ajayan and S. Iijima, Smallest Carbon Nanotube Scientific Correspondence, Nature, 358 (1992) 23.
7. S. Iijima, T. Ichihashi and Y. Ando, Pentagons, Heptagons and Negative Curvature in Graphite Microtubule Growth, Nature, 356 (1992) 776-778.
8. J. Maddox, Calculating the Energy of Fullerenes, Nature, 363 (1993) 395.
9. S. Iijima and T. Ichihashi, Single-shell Carbon Nanotubes of 1-nm diameter, Nature 363 (1993) 603-605.
10. P. W. Fowler, Cylindrical Fullerenes: the Smallest Nanotubes? Journal of the Physics and Chemistry of Solid, 54 (1993) 1825-1833.
11. X. Lin, X. K. Wong, V. P. Dravid, R. P. H. Chang and J. B. Ketterson, Large Scale Synthesis of Single-shell Carbon Nanotubes, Applied Physics Letters, 64 (1994) 181-183.
12. S. Iijima, P. M. Ajayan and T. Ichihashi, Growth Model for Carbon Nanotubes, Physical Review Letters, 69 (1992) 3100-3103.
13. C. H. Kiang, W. A. Goddard, R. Beyers and D. S. Bethune, Growth and Properties of Single-shell Carbon Nanotubes, Abstract of Papers of the American Chemical Society, 207 (1994), Mar 13.
14. R. Swinborne-Sheldrake, W. C. Herndon and I. Gutman, Kekulé Structures and Resonance Energies of Benzenoid Hydrocarbons, Tetrahedron Letters, 10 (1975) 755-758.
15. W. A. Seitz, D. J. Klein, T. G. Schmalz and M. A. Garcia-Bach, The Polypolyacene Family of Multi-face π-network Polymers in a Valence-bond Picture, Chemical Physics Letters, 115 (1985) 139-143.
16. S. J. Cyvin and I. Gutman, Kekulé Structures in Benzenoid Hydrocarbons, Lecture Notes in Chemistry 46, Springer-Verlag, Berlin, Heidelberg, New York, 1988.
17. M. Gordon and W. H. T. Davison, Theory of Resonance Topology of Fully Aromatic Hydrocarbons, Journal of Chemical Physics, 20 (1952) 428-435.
18. P. W. Kasteleyn, The Statistics of Dimers on a Lattice I. The Number of Dimer Arrangements on a Quadratic Lattice, Physica, 27 (1961) 1209-1225.
19. P. W. Kasteleyn, Graph Theory and Crystal Physics, In: Graph Theory and Theoretical Physics (Ed. F. Harray), Academic Press London 1967, pp. 43 - 110.
20. K. Al-Khnaifes and H. Sachs, Graphs, Linear Equations, Determinants, and the Number of Perfect Matchings, In: Contemporary Methods in Graph Theory (Ed. R. Bodendiek), B. I. - Wissenschaftsverlag Mannheim - Wien - Zürich, 1990, pp. 47-71.
21. P. John and H. Sachs, Calculating the Numbers of Perfect Matchings and of Spanning Trees, Pauling's Orders, the Characteristic Polynomial, and the Eigenvectors of a Benzenoid System, In: Advances in the Theory of Benzenoid Hydrocarbons (Ed. I. Gutman and S. J. Cyvin), Topics in Current Chemistry, 153 (1990) 145-179.
22. P. John and H. Sachs, Calculating the Characteristic Polynomial, Eigenvectors and Number of Spanning Trees of a Hexagonal System, Journal of Chemical Society Faraday Transactions, 86 (1990) 1033-1039.
23. P. J. Davis, Circulant Matrices, John Wiley & Sons, New York, Chichester, Brisbane, Toronto, 1979.