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\title{THE ROTATIONAL SPECTRUM OF THE METHANOL ISOTOPOLOG CH$_3^{17}$OH UP TO 1.1~THz}

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\author{\underline{\FirstName H.~S.~P. \LastName M\"ULLER}, 
  \FirstName F. \LastName LEWEN, \FirstName S. \LastName SCHLEMMER} 
\address{I.~Physikalisches Institut, Universit\"at zu K\"oln, 50937 K\"oln, Germany}

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\author{\FirstName V.~V. \LastName ILYUSHIN} 
\address{Institute of Radio Astronomy of NASU, Mystetstv 4, 61002 Kharkiv, Ukraine}

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\fancyhead[C]{{\footnotesize \textit{HRMS, 28th Colloquium, Dijon, France,
  Aug. 28 - Sept. 1, 2023}}}
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Numerous isotopic species of methanol have been detected in the warm parts of star-forming regions. 
We have started a program to investigate their rotational spectra to facilitate searches for these 
in space and, in the longer run, to tackle the issue of torsion-vibration interaction 
that has hampered quantitative analyses of CH$_3$OH and its isotopologs beyond $v_{\rm t} = 2$. 


After CD$_3$OH,\footnote{\href{https://doi.org/10.1051/0004-6361/202142326}{doi: 10.1051/0004-6361/202142326}, 
V. Ilyushin, H.~S.~P. M\"uller, J.~K. J{\o}rgensen, et al., $Astron. Astrophys.$ {\bf 658} (2022) A127} 
CD$_3$OD (submitted), and CH$_3$OD (in preparation), we embarked on a study of the 
rotational spectrum of CH$_3^{17}$OH employing a sample enriched in $^{17}$O to 20\%. 
The $^{17}$O quadrupole splitting is usually quite well resolved at low values of $J$. 
Asymmetric broadening through this splitting can affect transitions with high rotational quantum numbers 
and at high frequencies. The assignments were comparatively straightforward despite the very limited previous data 
in the literature.\footnote{\href{https://doi.org/10.1016/0022-2852(91)90405-Y}{doi: 10.1016/0022-2852(91)90405-Y}, 
Y. Hoshino, M. Ohishi, K. Takagi, J. Mol. Spectrosc. {\bf 148} (1991) 506-508} 
Thus far, we have assigned extensively $a$- and $b$-type transitions in $v_{\rm t} \le 1$ and got a fit with weighted rms deviation 
of 1.1 for 1540 measured line frequencies with J $\le$ 40. As in the previous cases, we expect perturbations in $v_{\rm t} = 2$ 
through torsion-torsion interaction with higher torsional states to prevent a global treatment of $v_{\rm t} \le 2$ 
within experimental uncertainties. The analysis is carried out applying the rho axis method 
and the RAM36hf program code.\footnote{\href{https://doi.org/10.1016/j.molstruc.2020.128037}{doi: 
10.1016/j.molstruc.2020.128037}, R. Motiyenko, V. Ilyushin, J. Demaison, et al., J. Mol. Struct. {\bf 1213} (2020) 128037} 


The work in Cologne was supported by the Deutsche Forschungsgemeinschaft (DFG) via 
the collaborative research center SFB~956, project area B3, and through the Ger\"atezentrum 
``Cologne Center for Terahertz Spectroscopy''. The work in Kharkiv was supported by the 
Volkswagen Stiftung. The assistance of the Science and Technology Center in the Ukraine is acknowledged (STCU
partner project P756). 

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