Helium mixtures in nanotube bundles

TL;DR

This paper derives an analogue to Raoult's law for 3He-4He mixtures adsorbed in carbon nanotube bundles, revealing a simple relationship between vapor partial pressures and concentrations inside the nanotubes.

Contribution

It introduces a new theoretical framework for understanding helium mixture adsorption in nanotube bundles, extending classical laws to nanoscale environments.

Findings

Partial pressure ratio depends linearly on concentration ratio.

The law differs from other environments where interactions are more complex.

Provides a basis for experimental validation of helium adsorption in nanotubes.

Abstract

An analogue to Raoult's law is determined for the case of a 3He-4He mixture adsorbed in the interstitial channels of a bundle of carbon nanotubes. Unlike the case of He mixtures in other environments, the ratio of the partial pressures of the coexisting vapor is found to be a simple function of the ratio of concentrations within the nanotube bundle.