Skip to main content
SpringerLink
Log in

On subspectral problem—benzenoid hydrocarbons with common eigenvalues ±1

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Summary

The method for the contraction and expansion of graphs is used to treat the subspectrality of benzenoid hydrocarbons in relation to eigenvalues ±1. Counts of benzenoid hydrocarbons together with degeneracies of eigenvalues have been carried out for all species having h ⩽ 7 hexagons. In addition, twelve homologous series are evaluated, and the closed results for the distribution of eigenvalues ± 1 and degeneracies in terms of the number of repeated units are tabulated. This method is universal and applicable to cases sharing other eigenvalues and to nonbenzenoid systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Heilbronner E (1953) Helv Chim Acta 36:170

    Google Scholar 

  2. McClelland BJ (1982) J Chem Soc Farad Trans II 78:911

    Google Scholar 

  3. King RB (1977) Theoret Chim Acta 44:223

    Google Scholar 

  4. D'Amato SS (1979) Mol Phys 37:1363; (1979) Theor Chim Acta 53:319; D'Amato SS, Gimarc BM, Trinajstić N (1981) Croat Chim Acta 54:1

    Google Scholar 

  5. Yan Jm (1981) Adv Quant Chem 13:211, and the references therein

    Google Scholar 

  6. Dias JR (1988) J Mol Struct (Theochem) 165:125

    Google Scholar 

  7. Dixon WT (1976) J Chem Soc Farad Trans II 72:282

    Google Scholar 

  8. Zivković T, Trinajstić N, Randić M (1977) Croat Chim Acta 49:89

    Google Scholar 

  9. Randić M, Baker B, Kleiner AF (1985) Int J Quant Chem S19:107 and preprints kindly supplied by Professor Randic

    Google Scholar 

  10. Kirby EC (1987) J Math Chem 1:175

    Google Scholar 

  11. Hall GG (1953) Proc Poy Soc A229:251; (1957) Trans Farad Soc 53:573; (1981) Institute Math Appl 17:70; (1977) Mol Phys 33:551.

    Google Scholar 

  12. Dias Jr (1987) J Mol Struct (Theochem) 149:213; (1987) J Chem Educ 64:213; (1987) Can J Chem 65:734 and preprints kindly supplied by Professor Dias

    Google Scholar 

  13. Jiang Y, Chen GY (1989) Studies in physical and theoretical chemistry, vol 63. Elsevier, Amsterdam, pp 107–122

    Google Scholar 

  14. Kiang Y-s (1981) Int J Quant Chem S15:293; (1982) Scientia Sinica B25:681; (1984) B27:236.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Chemistry, Jilin University, Changchun, People's Republic of China

    Y. -S. Jiang & G. -Y. Chen

Authors
  1. Y. -S. Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. -Y. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Also known as Yuan-sun Kiang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jiang, Y.S., Chen, G.Y. On subspectral problem—benzenoid hydrocarbons with common eigenvalues ±1. Theoret. Chim. Acta 76, 437–450 (1990). https://doi.org/10.1007/BF00528882

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00528882

Key words

Search

Navigation