Journal of Mathematical Chemistry

, Volume 45, Issue 2, pp 417–430 | Cite as

Double toroids as model systems for carbon nanotube junctions: through-bond currents

  • E. Lijnen
  • A. Ceulemans
  • M. V. Diudea
  • Cs. L. Nagy
Original Paper


We show that the through-bond currents in a closed molecular network originate from their topologically invariant edge-homologies. When applied to double toroidal structures they give rise to topologically induced currents whose 3D manifestations are highly sensitive to the way both loops are merged together i.e. on the nature of their junction.


Carbon nanotube junctions Through-bond currents Topology Homology 


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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • E. Lijnen
    • 1
  • A. Ceulemans
    • 1
  • M. V. Diudea
    • 2
  • Cs. L. Nagy
    • 2
  1. 1.Departement ChemieINPAC: Institute for Nanoscale Physics and Chemistry, K.U. LeuvenLeuvenBelgium
  2. 2.Faculty of Chemistry and Chemical EngineeringBabes-Bolyai UniversityClujRomania

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