Dissociation energy of the hydrogen molecule at 10${}^{-9}$ accuracy

Abstract

The ionization energy of ortho-H${}_2$ has been determined to be $E_{\mathrm{I}}^{\mathrm{o}}({\mathrm{H}}_2)/(hc)=124357.238062(25)$ cm${}^{-1}$ from measurements of the GK(1,1)--X(0,1) interval by Doppler-free two-photon spectroscopy using a narrow band 179-nm laser source and the ionization energy of the GK(1,1) state by continuous-wave near-infrared laser spectroscopy. $E_{\mathrm{I}}^{\mathrm{o}}$(H${}_2$) was used to derive the dissociation energy of H${}_2$, $D_0^{N=1}$(H${}_2$), at $35999.582894(25)$ cm${}^{-1}$ with a precision that is more than one order of magnitude better than all previous results. The new result challenges calculations of this quantity and represents a benchmark value for future relativistic and QED calculations of molecular energies.

6 pages, 5 figures

References in corpus (8)

• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Born-Oppenheimer potential for H${}_2$
• Fundamental transitions and ionization energies of the hydrogen molecular ions at the few ppt level
• Toward a determination of the proton-electron mass ratio from the Lamb-dip measurement of HD
• Complete ${\alpha }^{6}m$ corrections to the ground state of H${}_2$
• Relativistic corrections for the ground electronic state of molecular hydrogen
• Schrödinger equation solved for the hydrogen molecule with unprecedented accuracy
• Elimination of the Translational Kinetic Energy Contamination in pre-Born-Oppenheimer Calculations

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