Abstract

We overview our recent developments on a computational approach addressing quantum confinement of light atomic and molecular clusters (made of atomic helium and molecular hydrogen) in carbon nanotubes. We outline a multi-scale first-principles approach, based on density functional theory (DFT)-based symmetry-adapted perturbation theory, allowing an accurate characterization of the dispersion-dominated particle–nanotube interaction. Next, we describe a wave-function-based method, allowing rigorous fully coupled quantum calculations of the pseudo-nuclear bound states. The approach is illustrated by showing the transition from molecular aggregation to quasi-one-dimensional condensed matter systems of molecular deuterium and hydrogen as well as atomic 4He, as case studies. Finally, we present a perspective on future-oriented mixed approaches combining, e.g., orbital-free helium density functional theory (He-DFT), machine-learning parameterizations, with wave-function-based descriptions.

Highlights

  • The cylindrical confinement provided by carbon nanotubes has offered the possibility of studying the pronounced quantum behaviour of 4He atoms and H2 molecules at reduced dimensionality

  • Recent measurements have demonstrated the formation of two-dimensional (2D) 4He layers on the outer surface of single-walled carbon nanotubes (SWCNTs) (Noury et al, 2019)

  • The application of orbital-free helium density functional theory (He-DFT) to carbon nanotubes immersed in a helium nanodroplet provided theoretical explication that the experimental observations stem from the exceptionally high zero-point energy of 4He as well as its tendency to form two-dimensional (2D) layers upon adsorption at low temperatures (Hauser and de LaraCastells, 2016)

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Summary

INTRODUCTION

The cylindrical confinement provided by carbon nanotubes has offered the possibility of studying the pronounced quantum behaviour of 4He atoms and H2 molecules at reduced dimensionality. The application of orbital-free helium density functional theory (He-DFT) to carbon nanotubes immersed in a helium nanodroplet provided theoretical explication that the experimental observations stem from the exceptionally high zero-point energy of 4He as well as its tendency to form two-dimensional (2D) layers upon adsorption at low temperatures (Hauser and de LaraCastells, 2016). These conclusions were further confirmed by applying more accurate ab initio potential modelling along with a wave-function (WF)-based approach (Hauser et al, 2017).

Ab Initio Modelling of the Adsorbate-Nanotube Interaction
The Pseudo-Nuclear Wave-Function
N zi and
ILLUSTRATIVE APPLICATIONS
H2-Nanotube Interaction Potentials for SWCNTs of Increasing Diameter
From van-der-Waals Aggregation to Quasi-One-Dimensional Chains
CONCLUDING REMARKS AND FUTURE DIRECTIONS
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