Revisiting Thomson's model with multiply charged superfluid helium nanodroplets

Fuente: arXiv
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Auteurs principaux: Garcia-Alfonso, Ernesto, Ancilotto, Francesco, Barranco, Manuel, Cargnoni, Fausto, Halberstadt, Nadine, Pi, Marti
Format: Preprint
Publié: 2024
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author Garcia-Alfonso, Ernesto
Ancilotto, Francesco
Barranco, Manuel
Cargnoni, Fausto
Halberstadt, Nadine
Pi, Marti
author_facet Garcia-Alfonso, Ernesto
Ancilotto, Francesco
Barranco, Manuel
Cargnoni, Fausto
Halberstadt, Nadine
Pi, Marti
contents We study superfluid helium droplets multiply charged with ions. When stable, the charges are found to reside in equilibrium close to the droplet surface, thus representing a physical realization of Thomson's model. We find the minimum radius of the helium droplet that can host a given number of ions using a model whose physical ingredients are the solvation energy of the cations, calculated within the He-DFT approach, and their mutual Coulomb repulsion energy. Our model goes beyond the often used liquid drop model, where charges are smeared out either within the droplet or on its surface, and which neglects the solid-like helium shell around the ions. We find that below a threshold droplet radius R_0, the total energy of the system becomes higher than that of the separated system of the pristine helium droplet and the charges embedded in their solvation microcluster ("snowball"). However, the ions are still kept within the droplet by the presence of energy barriers which hinder Coulomb explosion. A further reduction of the droplet radius below a value R_expl eventually results in the disappearance of such barrier, leading to Coulomb explosion. Surprisingly, our results are rather insensitive to the ion atomic species. This makes room to discuss them in the context of intrinsic multicharged helium droplets, where the charges are triatomic He3+ ions. Our calculated values for R_expl display the correct scaling with the number of cations compared to available experimental results, at variance with other estimates for the critical radii.
format Preprint
id arxiv_https___arxiv_org_abs_2410_17079
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Revisiting Thomson's model with multiply charged superfluid helium nanodroplets
Garcia-Alfonso, Ernesto
Ancilotto, Francesco
Barranco, Manuel
Cargnoni, Fausto
Halberstadt, Nadine
Pi, Marti
Mesoscale and Nanoscale Physics
We study superfluid helium droplets multiply charged with ions. When stable, the charges are found to reside in equilibrium close to the droplet surface, thus representing a physical realization of Thomson's model. We find the minimum radius of the helium droplet that can host a given number of ions using a model whose physical ingredients are the solvation energy of the cations, calculated within the He-DFT approach, and their mutual Coulomb repulsion energy. Our model goes beyond the often used liquid drop model, where charges are smeared out either within the droplet or on its surface, and which neglects the solid-like helium shell around the ions. We find that below a threshold droplet radius R_0, the total energy of the system becomes higher than that of the separated system of the pristine helium droplet and the charges embedded in their solvation microcluster ("snowball"). However, the ions are still kept within the droplet by the presence of energy barriers which hinder Coulomb explosion. A further reduction of the droplet radius below a value R_expl eventually results in the disappearance of such barrier, leading to Coulomb explosion. Surprisingly, our results are rather insensitive to the ion atomic species. This makes room to discuss them in the context of intrinsic multicharged helium droplets, where the charges are triatomic He3+ ions. Our calculated values for R_expl display the correct scaling with the number of cations compared to available experimental results, at variance with other estimates for the critical radii.
title Revisiting Thomson's model with multiply charged superfluid helium nanodroplets
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2410.17079