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\title{INFLUENCE OF THE COLLISION ENERGY ON THE REACTION RATE OF THE D$_2^+$ + H$_2$O ION-MOLECULE REACTION NEAR 0 K}

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\author{\underline{\FirstName D. \LastName SCHLANDER},
  \FirstName R. \LastName HAHN, \FirstName V. \LastName ZHELYAZKOVA, \FirstName F. \LastName MERKT}
\address{Institute for Molecular Physical Science, ETH Z\"urich, Vladimir-Prelog-Weg 2, 8093 Z\"urich, Switzerland}

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%\address{Address of the institution for the second author(s)}

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\fancyhead[C]{{\footnotesize \textit{HRMS, 28th Colloquium, Dijon, France,
  Aug. 28 - Sept. 1, 2023}}}
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%\newcommand{\Dplus}{D\textsubscript{2}\textsuperscript{+}}
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\category{12,7}
\category {12,7}
\begin{document}

\maketitle  %% This will also build the list of author(s) and addresse(s).

%% Index macro(s): see the abstract samples and the instructions
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\index{Rydberg}
\index{Ion-molecule reaction}
\index{Water}
\index{Stark effect}

Ion-molecule reactions are important reactions in atmospheric chemistry, astrophysics, and plasma physics.\footnote[1]{\label{note1}\href{https://doi.org/10.1038/s42254-020-0198-0}{doi:10.1038/s42254-020-0198-0}, B. A. McGuire, O. Asvany, S. Br\"unken, S. Schlemmer, \textit{Nat. Rev. Phys.}, \textbf{2}, 402-410, (2020).} Reliable values for the reaction rates are key to modelling the relevant reaction networks. This poster focusses on the reactions of water with D\textsubscript{2}\textsuperscript{+} at the low temperatures in the range of 0-50\,K of interstellar molecular clouds.\footnotemark[1]$^,$\footnote[2]{\href{https://doi.org/10.1146/annurev.pc.46.100195.000331}{doi:10.1146/annurev.pc.46.100195.000331}, E. Herbst, \textit{Annu. Rev. Phys. Chem.}, \textbf{46}, 27-53, (1995).} For technical reasons D\textsubscript{2}\textsuperscript{+} is used instead of H\textsubscript{2}\textsuperscript{+}.\\

Because ions are easily accelerated by (stray) electric fields, high Rydberg states ($n\approx30$, $v^+=0$ , $N^+=0$) are utilised as proxies for the ionic reaction partner, because the Rydberg-electron does not significantly affect the reaction but shields it from electric fields.\footnote[3]{\label{note2}\href{https://doi.org/10.1103/PhysRevA.90.043403}{doi:10.1103/PhysRevA.90.043403}, P. Allmendinger, J. Deiglmayr, J. A. Agner, H. Schmutz, F. Merkt, \textit{Phys. Rev. A}, \textbf{90}, 043403, (2014).}$^,$\footnote[4]{\href{https://doi.org/10.1088/1367-2630/ac231d}{doi:10.1088/1367-2630/ac231d}, F. B. V. Martins, V. Zhelyazkova, C. Seiler, F. Merkt, \textit{New J. Phys.}, \textbf{23}, 095011, (2021).} We use a merged-beam approach featuring a Rydberg-Stark deflector and decelerator to access the collision-energy range below $k_B\cdot10$\,K. The molecular beam of water is characterised.\\

The reaction rates are modelled with an adiabatic capture model inspired by earlier work in Refs. \footnote[5]{\href{https://doi.org/10.1063/1.453701}{doi:10.1063/1.453701},  J. Troe, \textit{Chem. Phys.}, \textbf{87}, 2773-2780, (1987).\label{note3}}$^,$\footnote[6]{\label{note4}\href{https://doi.org/10.1080/00268978500100461}{doi:10.1080/00268978500100461}, D. C. Clary, \textit{Mol. Phys.}, \textbf{54}, 605-618, (1985).}$^,$\footnote[7]{\label{note5}\href{https://doi.org/10.1063/1.472479}{doi:10.1063/1.472479}, J. Troe, \textit{J. Chem. Phys.}, \textbf{105}, 6249-6262, (1996).} which is constructed by modifying the Langevin model with the rotational-state-specific energy of the neutral molecules in the field of the ion.\footnotemark[5]$^,$\footnotemark[6]$^,$\footnotemark[7]$^,$\footnote[8]{\label{note6}\href{https://doi.org/10.1039/D1CP03116C}{doi:10.1039/D1CP03116C},  V. Zhelyazkova, F. B. V. Martins, J. A. Agner, H. Schmutz, F. Merkt, \textit{Phys. Chem. Chem. Phys.}} For Maxwell-Boltzmann rotational-state distributions below 100\,K the model predicts an increase of the reaction-rate constant at low collision energies.



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