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\title{ANALYSIS OF THE INFRARED SPECTRUM OF ISOTOPICALLY CHIRAL \textit{TRANS}-2,3-DIDEUTEROOXIRANE}

\author{\FirstName S. \LastName ALBERT, \FirstName K. \LastName KEPPLER, \FirstName G. \LastName WICHMANN, \FirstName M. \LastName QUACK}
\address{Department of Chemistry and Applied Biosciences, ETH Zurich, 8093 Zurich, Switzerland} 

\author{\FirstName Z. \LastName CHEN}
\address{College of Chemistry and Chemical Engineering, Lanzhou University, 730000 Lanzhou China}

\author{\FirstName J. \LastName STOHNER}
\address{ICBC, ZHAW, 8820 W\"adenswil Switzerland}

\author{\FirstName V. \LastName SCHURIG}
\address{Institut f\"ur Organische Chemie, Universit\"at T\"ubingen, 72074 T\"ubingen, Germany}

\author{\FirstName O. \LastName TRAPP}
\address{Department of Chemistry, LMU, 80539 M\"unchen, Germany}


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\fancyhead[C]{{\footnotesize \textit{HRMS, 28th Colloquium, Dijon, France,
  Aug. 28 - Sept. 1, 2023}}}
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The concept of isotopic chirality is of fundamental interest because it introduces a completely new isotope effect arising from 
the parity violating weak nuclear force\footnote{M. Quack, \textit{Angew. Chem. Int. Ed.} 1989, \textbf{28}, 571.}$^,$\footnote{R. Berger, G. Laubender, M. Quack, A. Sieben, J. Stohner, M. Willeke, \textit{Angew. Chem. Int. Ed.} 2005, \textbf{44}, 3623.}$^,$\footnote{M. Hippler, E. Miloglyadov, M. Quack and G. Seyfang, in Handbook of High-resolution Spectroscopy Vol. 2, p. 1069, M. Quack and F. Merkt, Eds., Wiley, Chicester, 2011.  
See also the recent review by M. Quack, G. Seyfang, G. Wichmann, \textit{Chem. Sci.} 2022, \textbf{13}, 10598.}. It also has possible astrophysical applications.  Oxirane 
(\textit{c}-C$_2$H$_4$O), detected by astrophysical spectroscopy\footnote{J. E. Dickens, W. M. Irvine, 
M. Ohishi, M. Ikeda, S. Ishikawa, A. Nummelin, A. Hjalmarson, \textit{ApJ} 1997, \textbf{489}, 753.}, has two isotopically 
chiral isotopomers,  \textit{c}-C$_2$H$_3$DO and \textit{trans}-2,3-dideuterooxirane (\textit{c}-CHD-CHDO).  
We have previously reported the analysis of high resolution GHz and THz spectra of \textit{c}-C$_2$H$_3$DO in the context of a possible 
first astrophysical observation of an isotopically chiral species\footnote{S.Albert,Z.Chen,K.Keppler,P.Lerch,M.Quack,V.Schurig,O.Trapp, \textit{PCCP} 2019,\textbf{21},3669.}$^,$\footnote{S.Albert,Z.Chen,K.Keppler,M.Quack,J.Stohner,V.Schurig,O.Trapp, 2023 [in prep.].}.  Following this work, M\"uller et al. have reported\footnote{H. S. P. M\"uller, J. K. J\o rgensen, J.-C. Guillemin, F. Lewen, S. Schlemmer, \textit{J. Mol. Spectrosc.}, 2023, \textbf{394}, 111777; \textit{Monthly Notices of the Royal Astronomical Society} 2023, \textbf{518(1)}, 185.}  a tentative detection of 
\textit{c}-C$_2$H$_3$DO and the achiral \textit{c}-CD$_2$CH$_2$O. 
There have also been ab initio calculations\footnote{C. Puzzarini, M. Biczysko, J. 
Bloino, and V. Barone, \textit{ApJ} 2014, \textbf{785}, 107.}  on \textit{c}-C$_2$H$_3$DO and \textit{c}-C$_2$H$_4$O.  We have previously reported\footnote{Z. Chen, S. Albert, K. Keppler, M. Quack, V. Schurig, O. Trapp, ISMS 2021, WJ01.\label{GS}} high resolution GHz and THz spectra of 
\textit{trans-c}-CHD-CHDO. Here we report results of the analysis of the infrared 
spectrum of \textit{trans}-2,3-dideuterooxirane, recorded with a resolution 
of 0.0015 cm$^{-1}$ using the Bruker IFS 125 HR Z\"urich Prototype (ZP 2001) Fourier Transform spectrometer. 
We have used the ground state molecular parameters obtained from our analysis$^{\mbox{\scriptsize\ref{GS}}}$  
and have carried out the rovibrational analysis using Watson's A reduced effective Hamiltonian. The results will be discussed as they pertain to isotopic chirality and molecular parity violation.

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