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Hydrocarbon chains and rings: bond length alternation in finite molecules


We present a theoretical study of Peierls distortion in carbon rings. We demonstrate using the Longuet-Higgins–Salem model that the appearance of bond alternation in conjugated carbon polymers is independent of the boundary conditions and does in fact appear in carbon rings just as in carbon chains. We use the Hartree–Fock approximation and density functional theory to show that this behaviour is retained at the first principles level.

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  1. Developing the model and the corresponding HUGEH code and applying it to various conjugated polymers was a very fruitful collaboration between P.R. Surján and J. Kürti.


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The authors acknowledge the financial support from OTKA in Hungary (Grant Number K108676). Je.K. acknowledges beneficial discussions with Sándor Pekker. The authors express their gratitude to Péter Surján on the occasion of Péter’s 60th birthday. Jenő Kürti remembers with pleasure to the many joint works with Péter which resulted in more than ten joint publications, started from 1989.

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Correspondence to Jenő Kürti.

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Published as part of the special collection of articles “Festschrift in honour of P. R. Surjan”.

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Kürti, J., Koltai, J., Gyimesi, B. et al. Hydrocarbon chains and rings: bond length alternation in finite molecules. Theor Chem Acc 134, 114 (2015).

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  • Peierls distortion
  • Conjugated polymers
  • Annulenes
  • Longuet-Higgins–Salem model
  • Density functional theory