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The fundamental ground tone vibration of H2, HD, and D2 is determined to an accuracy of 2 x 10^-4 cm^-1 from Doppler-free laser spectroscopy in the collisionless environment of a molecular beam. This rotationless vibrational splitting is…

Accurate experimental values for the vibrational ground tone or fundamental vibrational energy splitting of H$_2$, HD, and D$_2$ are presented. Absolute accuracies of $2\times10^{-4}$ cm$^{-1}$ are obtained from Doppler-free laser…

The rovibrational intervals of the $^4$He$_2^+$ molecular ion in its $X\ ^2\Sigma_\text{u}^+$ ground electronic state are computed by including the non-adiabatic, relativistic, and leading-order quantum-electrodynamics corrections. Good…

Atomic Physics · Physics 2020-12-02 Dávid Ferenc , Vladimir I. Korobov , Edit Mátyus

A new state of the H$_2^+$ molecular ion with binding energy of 1.09$\times10^{-9}$ a.u. below the first dissociation limit is predicted, using highly accurate numerical nonrelativistic quantum calculations. It is the first L=0 excited…

The structure of the low-lying rotational levels of the X$^+$ $ ^2 \Sigma_g ^+$ ($v^+=0$) vibronic ground state of para-H$_2^+$ has been determined by combining frequency-comb calibrated continuous-wave high-resolution laser spectroscopy of…

Atomic Physics · Physics 2024-11-06 I. Doran , M. Beyer , F. Merkt

Precision measurements are performed on highly excited vibrational quantum states of molecular hydrogen. The $v=12, J=0-3$ rovibrational levels of H$_2$ ($X^1\Sigma_g^+$), lying only $2000$ cm$^{-1}$ below the first dissociation limit, were…

Atomic Physics · Physics 2015-09-30 M. L. Niu , E. J. Salumbides , W. Ubachs

We report a direct measurement of the 0-1 R(0) vibrational transition frequency in ground-state hydrogen deuteride (HD) using infrared-ultraviolet double resonance spectroscopy in a molecular beam. Ground-state molecules are vibrationally…

Atomic Physics · Physics 2020-07-14 Arthur Fast , Samuel A. Meek

The term values of all rotational levels of the $^4$He${_2}^+\,X^+\,^2\Sigma_u^+\,(\nu^+=0)$ ground vibronic state with rotational quantum number $N^+\le 19$ have been determined with an accuracy of 8 x 10$^{-4}$ cm$^{-1}$ ($\sim{25}$ MHz)…

Chemical Physics · Physics 2017-05-03 Luca Semeria , Paul Jansen , Frédéric Merkt

Excluding the very shallow potential minimum of the electronic ground state, all bound electronic states of He$_2$ have Rydberg character. Their potential-energy functions are similar to those of the He$_2^+$ states to which the Rydberg…

Atomic Physics · Physics 2025-08-12 M. Holdener , V. Wirth , N. A. Shahin , M. Beyer , F. Merkt

The pulsed-field-ionization zero-kinetic-energy photoelectron spectrum of H$_2$ has been recorded in the vicinity of the dissociative-ionization threshold following three-photon excitation via selected rotational levels of the B…

Chemical Physics · Physics 2017-01-04 Maximilian Beyer , Frédéric Merkt

Accurate $EF{}^1\Sigma^+_g-X{}^1\Sigma^+_g$ transition energies in molecular hydrogen were determined for transitions originating from levels with highly-excited vibrational quantum number, $v=11$, in the ground electronic state.…

Atomic Physics · Physics 2016-09-23 T. Madhu Trivikram , M. L. Niu , P. Wcisło , W. Ubachs , E. J. Salumbides

We present a nonrelativistic calculation of the rotation-vibration levels of the molecular ions H2+, D2+ and HD+, relying on the diagonalization of the exact three-body Hamiltonian. The J=2 levels are obtained with a very high accuracy of…

Quantum Physics · Physics 2017-02-20 Jean-Philippe Karr , Laurent Hilico

A calculation of dynamic polarizabilities of rovibrational states with vibrational quantum number $v=0-7$ and rotational quantum number $J=0,1$ in the 1s$\sigma_g$ ground-state potential of HD$^+$ is presented. Polarizability contributions…

Atomic Physics · Physics 2017-09-13 J. C. J. Koelemeij

We calculate ionization energies and fundamental vibrational transitions for H$_2^+$, D$_2^+$, and HD$^+$ molecular ions. The NRQED expansion for the energy in terms of the fine structure constant $\alpha$ is used. Previous calculations of…

Atomic Physics · Physics 2017-06-14 Vladimir I. Korobov , Laurent Hilico , Jean-Philippe Karr

We present theoretical thermally-averaged rate constants for vibrational and rotational (de-)excitation of the H3+ ion by electron impact. The constants are calculated using the multi-channel quantum-defect approach. The calculation…

Atomic Physics · Physics 2015-05-18 Viatcheslav Kokoouline , Alexandre Faure , Jonathan Tennyson , Chris H. Greene

The fundamentals and higher vibrationally excited states for the N$_3^+$ ion in its electronic ground state have been determined from quantum bound state calculations on 3-dimensional potential energy surfaces (PESs) at the CCSD(T)-F12 and…

Chemical Physics · Physics 2020-08-03 Debasish Koner , Max Schwilk , Sarbani Patra , Evan J. Bieske , Markus Meuwly

The static and dynamic electric multipolar polarizabilities and second hyperpolarizabilities of the H$_2^+$, D$_2^+$, and HD$^+$ molecular ions in the ground and first excited states are calculated nonrelativistically using explicitly…

Atomic Physics · Physics 2014-09-23 Li-Yan Tang , Zong-Chao Yan , Ting-Yun Shi , James F. Babb

We experimentally obtained a direct image of the nuclear wave functions of {H_2}^+ by dissociating the molecule via electron attachment and determining the vibrational state using the COLTRIMS technique. Our experiment visualizes the nodal…

Atomic Physics · Physics 2012-02-20 L. Ph. H. Schmidt , T. Jahnke , A. Czasch , M. Schöffler , H. Schmidt-Böcking , R. Dörner

The rovibrational spectrum of the molecular ion H$_2$CCCH$^+$ was investigated in a 4~K cryogenic ion trap instrument employing the leak-out spectroscopy method. Transitions within the fundamental $\nu_1$ (C-H stretch) and the combination…

The ultraviolet and far--ultraviolet spectra of HD 147888 allows to access the v=0 as well as higher vibrational levels of the ground H2 electronic level. We have determined column densities of the H2 molecule on vibrational levels v=0-5…

Astrophysics of Galaxies · Physics 2018-05-02 Piotr Gnacinski
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