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Restricted three body problems at the nanoscale

Journal Article


Abstract


  • In this paper, we investigate some restricted three body problems such as circular planar

    restricted problems for three C60 fullerenes and a carbon atom and two C60 fullerenes.

    We model the residual van der Waals forces between fullerenes by the Lennard-Jones potential.

    In particular, the pairwise potential energies between the carbon atoms on the

    fullerenes are approximated by the continuous approach, so that the total molecular energy

    between two fullerenes can be determined analytically. Since we assume that such

    interactions between molecules occur at sufficiently large distance, the classical three body

    problem analysis is legitimate to determine the collective angular velocities of the two and

    three C60 fullerenes at the nanoscale. We find that the maximum angular frequency of

    the two and three fullerenes systems reach terahertz range and discover the stationary

    points and points with maximum velocity of the carbon atom for the carbon atom and

    two fullerenes system.

UOW Authors


Publication Date


  • 2009

Citation


  • Chan, Y., Thamwattana, N. & Hill, J. (2009). Restricted three body problems at the nanoscale. Few-Body Systems, 46 (4), 239-247.

Scopus Eid


  • 2-s2.0-70350719230

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3312

Has Global Citation Frequency


Number Of Pages


  • 8

Start Page


  • 239

End Page


  • 247

Volume


  • 46

Issue


  • 4

Abstract


  • In this paper, we investigate some restricted three body problems such as circular planar

    restricted problems for three C60 fullerenes and a carbon atom and two C60 fullerenes.

    We model the residual van der Waals forces between fullerenes by the Lennard-Jones potential.

    In particular, the pairwise potential energies between the carbon atoms on the

    fullerenes are approximated by the continuous approach, so that the total molecular energy

    between two fullerenes can be determined analytically. Since we assume that such

    interactions between molecules occur at sufficiently large distance, the classical three body

    problem analysis is legitimate to determine the collective angular velocities of the two and

    three C60 fullerenes at the nanoscale. We find that the maximum angular frequency of

    the two and three fullerenes systems reach terahertz range and discover the stationary

    points and points with maximum velocity of the carbon atom for the carbon atom and

    two fullerenes system.

UOW Authors


Publication Date


  • 2009

Citation


  • Chan, Y., Thamwattana, N. & Hill, J. (2009). Restricted three body problems at the nanoscale. Few-Body Systems, 46 (4), 239-247.

Scopus Eid


  • 2-s2.0-70350719230

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3312

Has Global Citation Frequency


Number Of Pages


  • 8

Start Page


  • 239

End Page


  • 247

Volume


  • 46

Issue


  • 4