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arXiv:1305.4087 · Physical Review Letters

Decay Rate Measurement of the First Vibrationally Excited State of MgH+ in a Cryogenic Paul Trap

Oscar O. Versolato, M. Schwarz, Anders Kragh Hansen, Alexander D. Gingell, A. Windberger, Łukasz Kłosowski, J. Ullrich, Frank Jensen, J. R. Crespo López-Urrutia, Michael Drewsen

Published Jul 30, 2013• 16 citations
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Abstract

We present a method to measure the decay rate of the first excited vibrational state of polar molecular ions that are part of a Coulomb crystal in a cryogenic linear Paul trap. Specifically, we have monitored the decay of the $|\ensuremath{\nu}=1,J=1{⟩}_{X}$ towards the $|\ensuremath{\nu}=0,J=0{⟩}_{X}$ level in ${\mathrm{MgH}}^{+}$ by saturated laser excitation of the $|\ensuremath{\nu}=0,J=2{⟩}_{X}\mathrm{\text{\ensuremath{-}}}|\ensuremath{\nu}=1,J=1{⟩}_{X}$ transition followed by state selective resonance enhanced two-photon dissociation out of the $|\ensuremath{\nu}=0,J=2{⟩}_{X}$ level. The experimentally observed rate of $6.32(0.69)\text{ }\text{ }{\mathrm{s}}^{\ensuremath{-}1}$ is in excellent agreement with the theory value of $6.13(0.03)\text{ }\text{ }{\mathrm{s}}^{\ensuremath{-}1}$ (this Letter). The technique enables the determination of decay rates, and thus absorption strengths, with an accuracy at the few percent level.

DOI
10.1103/physrevlett.111.053002

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Physical Review A•Apr 26, 2013•24 citations
We present a method to measure the decay rate of the first excited vibrational state of polar molecular ions that are part of a Coulomb crystal in a cryogenic linear Paul trap. Specifically, we have monitored the decay of the ∣\ensuremathν=1,J=1⟩X|\ensuremath{\nu}=1,J=1{⟩}_{X}∣\ensuremathν=1,J=1⟩X​ towards the ∣\ensuremathν=0,J=0⟩X|\ensuremath{\nu}=0,J=0{⟩}_{X}∣\ensuremathν=0,J=0⟩X​ level in MgH+{\mathrm{MgH}}^{+}MgH+ by saturated laser excitation of the ∣\ensuremathν=0,J=2⟩X\ensuremath-∣\ensuremathν=1,J=1⟩X|\ensuremath{\nu}=0,J=2{⟩}_{X}\mathrm{\text{\ensuremath{-}}}|\ensuremath{\nu}=1,J=1{⟩}_{X}∣\ensuremathν=0,J=2⟩X​\ensuremath-∣\ensuremathν=1,J=1⟩X​ transition followed by state selective resonance enhanced two-photon dissociation out of the ∣\ensuremathν=0,J=2⟩X|\ensuremath{\nu}=0,J=2{⟩}_{X}∣\ensuremathν=0,J=2⟩X​ level. The experimentally observed rate of 6.32(0.69)  s\ensuremath−16.32(0.69)\text{ }\text{ }{\mathrm{s}}^{\ensuremath{-}1}6.32(0.69)  s\ensuremath−1 is in excellent agreement with the theory value of 6.13(0.03)  s\ensuremath−16.13(0.03)\text{ }\text{ }{\mathrm{s}}^{\ensuremath{-}1}6.13(0.03)  s\ensuremath−1 (this Letter). The technique enables the determination of decay rates, and thus absorption strengths, with an accuracy at the few percent level.
A new cryogenic linear Paul trap for atomic, molecular and highly charged ions was designed and constructed at MPIK. Experiments with laser-cooled Mg+ ions in the mK-regime and with sympathetically cooled MgH+ molecular ions provided evidence for an excellent vacuum as well as a strongly reduced inuence of the black body radiation at the trap center. Measurements proved that more than 90% of the population of the MgH+ ions can be found in the lowest three rotational states. By laser excitation it was possible to transfer the main part of the ions into the absolute ground state. The population transfer rates for the lowest four rotational states were investigated, additionally to measuring for the first time the decay constant of a deterministically prepared rovibronic state of the MgH+ ion. A decay constant Γ = (7,02 +/- 1,26) Hz was determined for the radiative decay of the |ν = 1, J = 1> state to the ground state.
With MgH + ions as a test case, we investigate to what extent the rotational motion of smaller polar molecular ions sympathetically cooled into Coulomb crystals in linear Paul traps couples to the translational motions of the ion ensemble. By comparing the results obtained from rotational resonance-enhanced multiphoton photo-dissociation experiments with data from theoretical simulations, we conclude that the effective rotational temperature exceeds the translational temperature (<100 mK) by more than two orders of magnitude, indicating a very weak coupling.
Working with MgH+molecular ions in a linear Paul trap, we routinely cool their translational degrees of freedom by sympathetic cooling with Doppler laser cooled Mg+ions. Giving the time for the molecules to equilibrate internally to room temperature blackbody radiation, the vibrational degree of freedom is frozen out, leaving only the rotational degree of freedom to be cooled. We have implemented a new technique for laser-induced rotational ground-state cooling of vibrationally and translationally cold MgH+ions, using a scheme based on excitation of a single rovibrational transition. This technique is generalizable to any diatomic polar molecular ion, given an appropriate mid-infrared laser source such as a quantum cascade laser.
Ultra-high vacuum conditions are ideal for the study of trapped ions. They offer an almost perturbation-free environment, where ions confined in traps can be studied for extended periods of time-facilitating precision measurements and allowing infrequent events to be observed. However, if one wishes to study processes involving molecular ions, it is important to consider the effect of blackbody radiation (BBR). The vast majority of molecular ions interact with BBR. At 300 K, state selection in trapped molecular ions can be rapidly lost (in a matter of seconds). To address this issue, and to maintain state selectivity in trapped molecular ions, a cryogenic ion trap chamber has been constructed and characterized. At the center of the apparatus is a linear Paul ion trap, where Coulomb crystals can be formed for ion-neutral reaction studies. Optical access is provided, for lasers and for imaging of the crystals, alongside ion optics and a flight tube for recording time-of-flight mass spectra. The ion trap region, encased within two nested temperature stages, reaches temperatures below 9 K. To avoid vibrations from the cryocooler impeding laser cooling or imaging of the ions, vibration-damping elements are explicitly included. These components successfully inhibit the coupling of vibrations from the cold head to the ion trap-confirmed by accelerometer measurements and by the resolution of images recorded at the trap center (at 9 and 295 K). These results confirm that the cryogenic ion trap apparatus meets all requirements for studying ion-neutral reactions under cold, controlled conditions.
Radiative decay rates connecting the lowest four energy levels of 198Hg+^{198}\mathrm{Hg}^{+}198Hg+ have been derived solely from an analysis of the fluctuations (quantum jumps) of the laser-induced fluorescence of the 194-nm first resonance transition of a single ion confined in a Paul trap. The natural linewidth of the 194-nm first resonance transition was also measured. The measured decay rates and branching ratios are in satisfactory agreement with theory.
We have developed a combined Stark-velocity-filter--ion-trap apparatus for the purpose of reaction-rate measurements between cold trapped ions and slow polar molecules under ultrahigh vacuum conditions. The prerequisite steps such as the characterization of velocity-selected polar molecules (PM), namely ND3{}_{3}3​, H2{}_{2}2​CO, and CH3{}_{3}3​CN, were performed using time-of-flight (TOF) measurements. We confirmed the generation of slow ND3{}_{3}3​, H2{}_{2}2​CO, and CH3{}_{3}3​CN molecules having thermal energies of a few Kelvin. Additionally, the number densities of the slow velocity-filtered polar molecules were determined to be in the range of n=104n={10}^{4}n=104 to 106{}^{6}6 cm${}^{\ensuremath{-}3}$ by calibrating the TOF signals. In a first experiment, the Stark velocity filter was connected to a cryogenic linear Paul trap and reaction-rate measurements between laser-cooled Ca+{}^{+}+ Coulomb crystals and velocity-selected polar molecules were carried out. The observed reaction rates are of the order of 10${}^{\ensuremath{-}5}$ s${}^{\ensuremath{-}1}$, which are much slower than typical reaction rates of molecular ion--polar-molecule reactions at low temperatures. The present results confirm that reaction-rate measurements between velocity-selected polar molecules and sympathetically cooled molecular ions cooled by a laser-cooled Ca+{}^{+}+ Coulomb crystal can be performed. Next we measured the reaction rates between sympathetically cooled nonfluorescent stored ion molecules namely N2{}_{2}2​H+{}^{+}+ ions and velocity-selected CH3{}_{3}3​CN molecules at the average reaction energy of about 3 K. The measured reaction rate of 2.0(2)$\ifmmode\times\else\texttimes\fi{}101010{}^{\ensuremath{-}3}$ s${}^{\ensuremath{-}1}$ is much faster than those of the Ca+{}^{+}++PM reactions. This is strong evidence that the velocity-selected polar molecules undergo reactive collisions. We also confirmed that the present reaction-rate constant of CH3{}_{3}3​CN+N2{}_{2}2​H+{}^{+}+ $\ensuremath{\rightarrow}$ CH3{}_{3}3​CNH+{}^{+}++N2{}_{2}2​ is consistent with the estimated values from the room temperature results and the trajectory-scaling formula of Su et al. In the future, the present velocity-filter combined cryogenic trap apparatus will enable us to perform systematic measurements of cold ion--polar-molecule reactions, which are important problems from a fundamental viewpoint and also contribute to astrochemistry.