Improved ionization and dissociation energies of the deuterium molecule

J. Hussels; N. Hölsch; C. F. Cheng; E. J. Salumbides; H. L. Bethlem; K. S.E. Eikema; Ch Jungen; M. Beyer; F. Merkt; W. Ubachs

doi:10.1103/PhysRevA.105.022820

Improved ionization and dissociation energies of the deuterium molecule

J. Hussels, N. Hölsch, C. F. Cheng, E. J. Salumbides, H. L. Bethlem, K. S.E. Eikema, Ch Jungen, M. Beyer, F. Merkt, W. Ubachs

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

The ionization energy of D2 has been determined experimentally from measurements involving two-photon Doppler-free vacuum-ultraviolet pulsed laser excitation and near-infrared continuous-wave laser excitation to yield EI(D2)=124745.393739(26) cm-1. From this value, the dissociation energy of D2 is deduced to be D0(D2)=36748.362282(26) cm-1, representing a 25-fold improvement over previous values, and it was found to be in good agreement (at 1.6s) with recent ab initio calculations of the four-particle nonadiabatic relativistic energy and of quantum-electrodynamic corrections up to order ma6. This result constitutes a test of quantum electrodynamics in the molecular domain, while a perspective is opened to determine nuclear charge radii from molecules.

Original language	English
Article number	022820
Pages (from-to)	1-9
Number of pages	9
Journal	Physical Review A
Volume	105
Issue number	2
Early online date	22 Feb 2022
DOIs	https://doi.org/10.1103/PhysRevA.105.022820
Publication status	Published - Feb 2022

Bibliographical note

Funding Information:
The authors thank M. Silkowski and K. Pachucki (Warsaw) for making available the potential-energy curves for excited states of hydrogen prior to publication. K.S.E.E., F.M., and W.U. acknowledge financial support from the European Research Council for ERC-Advanced grants under the European Union's Horizon 2020 research and innovation programme (No. 695677, No. 743121, and No. 670168). H.L.B., K.S.E.E., and W.U. acknowledge Netherlands Foundation for Scientific Research (NWO) for a program grant on “The Mysterious size of the proton.” F.M. acknowledges financial support from the Swiss National Science Foundation (project 200020B-200478 and synergia grant CRSII5-183579).

Publisher Copyright:
© 2022 American Physical Society.

Funding

The authors thank M. Silkowski and K. Pachucki (Warsaw) for making available the potential-energy curves for excited states of hydrogen prior to publication. K.S.E.E., F.M., and W.U. acknowledge financial support from the European Research Council for ERC-Advanced grants under the European Union's Horizon 2020 research and innovation programme (No. 695677, No. 743121, and No. 670168). H.L.B., K.S.E.E., and W.U. acknowledge Netherlands Foundation for Scientific Research (NWO) for a program grant on “The Mysterious size of the proton.” F.M. acknowledges financial support from the Swiss National Science Foundation (project 200020B-200478 and synergia grant CRSII5-183579).

Funders	Funder number
Netherlands Foundation for Scientific Research
Horizon 2020 Framework Programme
European Research Council
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung	200020B-200478, CRSII5-183579
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Horizon 2020	695677, 743121, 670168

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title = "Improved ionization and dissociation energies of the deuterium molecule",

abstract = "The ionization energy of D2 has been determined experimentally from measurements involving two-photon Doppler-free vacuum-ultraviolet pulsed laser excitation and near-infrared continuous-wave laser excitation to yield EI(D2)=124745.393739(26) cm-1. From this value, the dissociation energy of D2 is deduced to be D0(D2)=36748.362282(26) cm-1, representing a 25-fold improvement over previous values, and it was found to be in good agreement (at 1.6s) with recent ab initio calculations of the four-particle nonadiabatic relativistic energy and of quantum-electrodynamic corrections up to order ma6. This result constitutes a test of quantum electrodynamics in the molecular domain, while a perspective is opened to determine nuclear charge radii from molecules. ",

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note = "Funding Information: The authors thank M. Silkowski and K. Pachucki (Warsaw) for making available the potential-energy curves for excited states of hydrogen prior to publication. K.S.E.E., F.M., and W.U. acknowledge financial support from the European Research Council for ERC-Advanced grants under the European Union's Horizon 2020 research and innovation programme (No. 695677, No. 743121, and No. 670168). H.L.B., K.S.E.E., and W.U. acknowledge Netherlands Foundation for Scientific Research (NWO) for a program grant on “The Mysterious size of the proton.” F.M. acknowledges financial support from the Swiss National Science Foundation (project 200020B-200478 and synergia grant CRSII5-183579). Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

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AU - Jungen, Ch

AU - Beyer, M.

AU - Merkt, F.

AU - Ubachs, W.

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N2 - The ionization energy of D2 has been determined experimentally from measurements involving two-photon Doppler-free vacuum-ultraviolet pulsed laser excitation and near-infrared continuous-wave laser excitation to yield EI(D2)=124745.393739(26) cm-1. From this value, the dissociation energy of D2 is deduced to be D0(D2)=36748.362282(26) cm-1, representing a 25-fold improvement over previous values, and it was found to be in good agreement (at 1.6s) with recent ab initio calculations of the four-particle nonadiabatic relativistic energy and of quantum-electrodynamic corrections up to order ma6. This result constitutes a test of quantum electrodynamics in the molecular domain, while a perspective is opened to determine nuclear charge radii from molecules.

AB - The ionization energy of D2 has been determined experimentally from measurements involving two-photon Doppler-free vacuum-ultraviolet pulsed laser excitation and near-infrared continuous-wave laser excitation to yield EI(D2)=124745.393739(26) cm-1. From this value, the dissociation energy of D2 is deduced to be D0(D2)=36748.362282(26) cm-1, representing a 25-fold improvement over previous values, and it was found to be in good agreement (at 1.6s) with recent ab initio calculations of the four-particle nonadiabatic relativistic energy and of quantum-electrodynamic corrections up to order ma6. This result constitutes a test of quantum electrodynamics in the molecular domain, while a perspective is opened to determine nuclear charge radii from molecules.

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Improved ionization and dissociation energies of the deuterium molecule

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