On the oscillatory frequency of the carbon nanotube-based nanothermometers

Abstract

Electromechanical nanothermometers are instruments that work on the basis of the van der Waals (vdW) potential energy and interaction force of their constituent carbon nanotubes (CNTs). The CNT-based nanothermometers have two di fferent con gurations: telescope and shuttle con gurations. In this article, based on the Lennard-Jones potential function together with the continuum approximation, fi rst, the vdW potential energy and interaction force for a telescope con guration with nite CNTs are derived, which have not been obtained in the previous research studies. Thereafter, by employing the interaction force, the equation of motion between constituent CNTs is solved. Subsequently, a new semi-analytical expression is obtained which enables one to precisely evaluate the oscillation frequency. By employing the given formulae, e ffects ofdi erent system parameters on the vdW interactions and oscillation frequency are shown.