Material limitations of carbon-nanotube inertial balances: on the possibility of intrinsic yoctogram mass resolution at room temperature

TL;DR

This theoretical study explores the potential for carbon nanotube-based inertial sensors to achieve yoctogram-scale mass resolution at room temperature by analyzing intrinsic vibrational quality factors and phonon decay mechanisms.

Contribution

It provides design principles for ultrasensitive nanotube mass sensors, highlighting how tension and temperature influence intrinsic losses and resolution limits.

Findings

Single yoctogram mass resolution possible at room temperature under high tension.

Cooling could enable sub-yoctogram mass resolution.

Intrinsic vibrational quality factors are key to sensor sensitivity.

Abstract

We present a theoretical study of the intrinsic quality factor of the fundamental flexural vibration in a carbon nanotube and its dependence on temperature, radius, length and tension. In particular, we examine three- and four-phonon decays of the fundamental flexural mode within quantized elasticity theory. This analysis reveals design principles for the construction of ultrasensitive nanotube mass sensors: under tensions close to the elastic limit, intrinsic losses allow for \emph{single yoctogram} mass resolution at room temperature, while cooling opens the possibility of \emph{sub-yoctogram} mass resolution.