On the oscillatory frequency of the carbon nanotube-based nanothermometers

Abstract

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 erent con gurations: telescope and shuttle con gurations. In this article, based on the Lennard-Jones potential function together with the continuum approximation, 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 ects of di erent system parameters on the vdW interactions and oscillation frequency are shown.

A Non-Linear Spring Model for Predicting Modal Behavior of Oscillators Built from Double Walled Carbon Nanotubes

“…, Li and Lo represent the lengths of the inner and outer tubes, ∆ is the initial separation distance, η is a geometric parameter, and ζ is a dimensionless numerical factor depending only upon the atom numbers of the inner and outer tubes. Ansari et al [59] [60] developed a semi-analytical method to obtain the oscillation frequency f, and f can be written as…”

Permeability of Ultra-Thin Amorphous Carbon Films

“…In addition, quantum-mechanical description is always of relevance. As for the classical approach, it is realized in the method of global Monte Carlo simulation [9][10][11][12][13] and is further developed in the works which are based on using the continual representation of the interaction energy [14][15][16].…”