• Van der Waals interactions and oscillatory behaviour of carbon onions interacting with a fully constrained graphene sheet

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    • Keywords


      Carbon onion; graphene sheet; van der Waals interactions; oscillation frequency.

    • Abstract


      This study focuses on the van der Waals (vdW) interactions and oscillatory behaviour of nested spherical fullerenes (carbon onions) in the vicinity of a single-layer graphene (SLG) sheet. The carbon onions are of ${\rm I}_h$ symmetries and the graphene sheet is modelled as a fully constrained flat surface. Employing the continuum approximation along with the 6–12 Lennard-Jones (LJ) potential function, explicit analytical expressions are determined to calculate the vdW potential energy and interaction force. The equation of motion is solved numerically based on the actual force distribution to attain the displacement and velocity of the carbon onion. Using the conservation of mechanical energy principle, asemi-analytical expression is also derived to accurately evaluate the oscillation frequency. Numerical results are presentedto examine the influences of size of carbon onion and initial conditions (initial separation distance and initial velocity) onthe operating frequency of carbon onion–SLG sheet oscillators. It is shown that carbon onion executes oscillatory motionabove the graphene sheet with frequencies in the gigahertz (GHz) range. It is further observed that smaller structures ofcarbon onions produce greater frequencies. We comment that the presented results in this study would contribute to thedevelopment of new generation of nano-oscillators.

    • Author Affiliations



      1. Department of Engineering Sciences, Faculty of Advanced Technologies, University of Mohaghegh Ardabili, Namin 56199-11367, Iran
      2. Department of Engineering Sciences, Faculty of Advanced Technologies, Sabalan University of Advanced Technologies (SUAT), Namin, Iran
      3. Faculty of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht 4199613776, Iran
    • Dates

  • Bulletin of Materials Science | News

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