Tight-binding description of cyclo[n]carbons and carbynes


  • Renebeth B. Payod Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños
  • Vasil A. Saroka TBpack Ltd., United Kingdom and Institute for Nuclear Problems, Belarusian State University, Belarus


To investigate the electronic properties of one-dimensional sp-hybridized carbon allotropes, we performed tight-binding calculations on an atomic ring and a finite linear chain as theoretical models to the cumulenic cyclo[n]carbons and carbynes, respectively. Our results show that the energies of an atomic ring match the energies of a finite chain when the number of atoms in a ring is twice the number of atoms in the chain and an extra two more atoms. Also, the atomic ring energies have double degeneracies, with values equal to the finite chain except at Ering = ±2γ, where γ is the hopping parameter of the nearest-neighbor carbon atoms.



Article ID



Condensed Matter Physics and Materials Science



How to Cite

RB Payod and VA Saroka, Tight-binding description of cyclo[n]carbons and carbynes, Proceedings of the Samahang Pisika ng Pilipinas 40, SPP-2022-3B-04 (2022). URL: https://proceedings.spp-online.org/article/view/SPP-2022-3B-04.