Skip to main content

A model of the multiple adsorption of hydrogen atoms on the surface of carbon nanotubes


A model of the multiple adsorption of atomic hydrogen on the surface of single-walled carbon nanotubes of the zigzag and arm-chair types was constructed. The adsorption model is based on the Anderson periodic model. An analytic equation for the band structure of carbon nanotubes with adsorbed hydrogen atoms was obtained, and the special features of this structure were studied. The dependence of the band structure of carbon nanotubes on the concentration of adsorbed hydrogen atoms was analyzed. The model constructed can be used to study adsorption of other univalent atoms on the surface of carbon particles.

This is a preview of subscription content, access via your institution.


  1. L. A. Bol’shov, A. P. Napartovich, A. G. Naumovets, and A. G. Fedorus, Sov. Phys. Usp. 20, 432 (1977).

    Article  Google Scholar 

  2. P. W. Anderson, Phys. Rev. 124, 41 (1961).

    Article  CAS  Google Scholar 

  3. P. N. D’yachkov, Electronic Properties and Applications of Nanotubes (BINOM, Laboratoriya znanii, Moscow, 2010) [in Russian].

    Google Scholar 

  4. Yu. A. Izyumov, I. I. Chashchin, and D. S. Alekseev, A Generating-Functional Approach in the Theory of Magnetic and Strongly Correlated Systems (Regular. Khaotich. Dinamika, Moscow, Izhevsk, 2006) [in Russian].

    Google Scholar 

  5. S. Yu. Davydov and S. V. Troshin, Phys. Solid State 49, 1583 (2007).

    Article  CAS  Google Scholar 

  6. S. Yu. Davydov and G. I. Sabirova, Tech. Phys. Lett. 36, 515 (2010).

    Google Scholar 

  7. M. B. Belonenko, N. G. Lebedev, and N. N. Yanyushkina, Phys. Solid State 52, 1780 (2010).

    Article  CAS  Google Scholar 

  8. N. N. Yanyushkina, M. B. Belonenko, and N. G. Lebedev, Mater. Sci. Appl. 1, 72 (2010).

    CAS  Google Scholar 

  9. M. B. Belonenko, A. S. Popov, N. G. Lebedev, A. V. Pak, and A. V. Zhukov, Phys. Lett. A 375, 946 (2011).

    Article  CAS  Google Scholar 

  10. S. V. Tyablikov, Methods in the Quantum Theory of Magnetism (2nd ed., Nauka, Moscow, 1975; Plenum Press, New York, 1967).

    Google Scholar 

  11. N. F. Stepanov, Quantum Mechanics and Quantum Chemistry (Mir, Moscow, 2001) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to A. V. Pak.

Additional information

Original Russian Text © A.V. Pak, N.G. Lebedev, 2012, published in Khimicheskaya Fizika, 2012, Vol. 31, No. 3, pp. 82–87.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Pak, A.V., Lebedev, N.G. A model of the multiple adsorption of hydrogen atoms on the surface of carbon nanotubes. Russ. J. Phys. Chem. B 6, 321–326 (2012).

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI:


  • Band Structure
  • Anderson Model
  • Adsorbed Atom
  • Impurity Band
  • Adsorbed Hydrogen Atom