Theoretical analysis of telescopic oscillations in multi-walled carbon nanotubes

TL;DR

This paper develops a simplified theoretical model to analyze telescopic oscillations in multi-walled carbon nanotubes, deriving explicit formulas for force constants and oscillation frequencies, and estimating their impact on low-temperature specific heat.

Contribution

It introduces a new simplified theoretical framework for analyzing telescopic oscillations in multi-walled carbon nanotubes, providing explicit formulas and thermal contribution estimates.

Findings

Explicit expressions for force constants and oscillation frequencies derived.

Estimated contribution of small-amplitude oscillations to low-temperature specific heat.

Theoretical insights into nanotube mechanical and thermal properties.

Abstract

A simplified theory of the telescopic oscillations in multiwalled carbon nanotubes is developed. The explicit expressions for the telescopic force constants (longitudinal rigidity) and the frequencies of telescopic oscillations are derived. The contribution of small-amplitude telescopic oscillations to the nanotubes low temperature specific heat is estimated.