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Enumeration ofKekulé structures:Étagères and related benzenoid classes

Ermittlung der Anzahl vonKekulé-Strukturen: „Étagère“ und verwandte benzenoide Klassen

  • Anorganische Und Physikalische Chemie
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Abstract

Formulas are developed for the number ofKekulé structures of some benzenoid classes, which are interpreted in terms of annelations of a multiple linear chain (parallelogram). One-sided and two-sided annelations are considered, the latter category leading to the definition of a benzenoid class referred to asétagères.

Zusammenfassung

Es werden Formeln für die Ermittlung der Anzahl möglicherKekulé-Strukturen für einige benzenoiden Klassen angegeben, wobei diese durch annelierte, mehrfache, lineare Ketten (Parallelogramme) charakterisiert werden. Dabei wird einseitige und zweiseitige Annelierung berücksichtigt, für die letztgenannte Gruppe wird der Ausdruck „Étagère“ geprägt.

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References

  1. Cyvin SJ (1986) Monatsh Chem 117: 33

    Google Scholar 

  2. Cyvin SJ (1983) Acta Chim Hung 112: 281

    Google Scholar 

  3. Gutman I (1983) Croat Chem Acta 56: 365

    Google Scholar 

  4. Cyvin SJ (1983) J Mol Struct 100: 75

    Google Scholar 

  5. Balaban AT, Tomescu I (1983) Match (Mülheim) 14: 155

    Google Scholar 

  6. Cyvin SJ (1983) Monatsh Chem 114: 13

    Google Scholar 

  7. Cyvin SJ (1983) Monatsh Chem 114: 525

    Google Scholar 

  8. Trinajstić N (1983) Chemical grph theory, vol II. Florida: CRC Press, Boca Raton

    Google Scholar 

  9. El Basil S, Křivka P, Trinajstić N (1984) Croat Chem Acta 57: 339

    Google Scholar 

  10. Balaban AT, Tomescu I (1984) Croat Chem Acta 57: 391

    Google Scholar 

  11. Gutman I (1985) Match (Mülheim) 17: 3

    Google Scholar 

  12. Balaban AT, Tomescu I (1985) Match (Mülheim) 17: 91

    Google Scholar 

  13. Cyvin SJ (1985) J Mol Struct (Theochem) 133: 211

    Google Scholar 

  14. Cyvin SJ, Gutman I (1986) Match (Mülheim) 19: 229

    Google Scholar 

  15. Cyvin SJ, Cyvin BN, Bergan JL (1986) Match (Mülheim) 19: 189

    Google Scholar 

  16. Cyvin SJ (1986) Match (Mülheim) 19: 213

    Google Scholar 

  17. Cyvin SJ, Cyvin BN, Gutman I (1985) Z Naturforsch 40a: 1253

    Google Scholar 

  18. Gordon M, Davison WHT (1952) J Chem Phys 20: 428

    Google Scholar 

  19. Yen TF (1971) Theoret Chim Acta 20: 399

    Google Scholar 

  20. Ohkami N, Hosoya H (1983) Theoret Chim Acta 64: 153

    Google Scholar 

  21. Biermann D, Schmidt W (1980) Israel J Chem 20: 312

    Google Scholar 

  22. Eilfeld P, Schmidt W (1981) J Electr Spectr Rel Phenom 24: 101

    Google Scholar 

  23. Gutman I (1982) Croat Chem Acta 55: 371

    Google Scholar 

  24. Cyvin SJ, Gutman I (1985) J Serb Chem Soc 50: 443

    Google Scholar 

  25. Gutman I (1977) Theoret Chim Acta 45: 309

    Google Scholar 

  26. Gutman I, El-Basil S (1984) Z Naturforsch 39 a: 276

    Google Scholar 

  27. Cyvin SJ, Gutman I (1986) Computers Mathematics 12 B: 859

    Google Scholar 

  28. Gutman I,Cyvin SJ Monatsh Chem (in press)

  29. Cyvin SJ (to be published)

  30. Randić M (1976) J Chem Soc Faraday II 72: 232

    Google Scholar 

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Cyvin, S.J., Cyvin, B.N. Enumeration ofKekulé structures:Étagères and related benzenoid classes. Monatsh Chem 118, 337–347 (1987). https://doi.org/10.1007/BF00809944

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  • DOI: https://doi.org/10.1007/BF00809944

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