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\documentclass[11pt]{article}

\usepackage{hrms}  %% Page settings, style ... for the HRMS abstract book.
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\title{C$_3$: RO-VIBRATIONAL ENERGY LEVELS AND LINE-STRENGTHS FOR THE ELECTRONIC GROUND-STATE}

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\author{\underline{\FirstName J. \LastName TENNYSON},
  \FirstName A.E. \LastName LYNAS-GRAY,
  \FirstName S.N. \LastName YURCHENKO and
  \FirstName O.L. \LastName POLYANSKY}
\address{Department of Physics and Astronomy, University College London,Gower Street, London WC1E 6BT}

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\author{\FirstName N.F. \LastName ZOBOV}
\address{Institute of Applied Physics, Russian Academy of Science, Uljanov Street 46, Nizhnii Novgorod, Russia 603950}

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\usepackage{fancyhdr}
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\fancyhead[C]{{\footnotesize \textit{HRMS, 28th Colloquium, Dijon, France,
  Aug. 28 - Sept. 1, 2023}}}
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\usepackage[colorlinks=true,urlcolor=blue,linkcolor=blue,citecolor=blue]{hyperref}
\voffset -.65 cm

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\category {1,8}
\begin{document}

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

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Although propadienediylidene (tricarbon, ${\rm C}_3$) is a
major consituent of carbon vapour and therefore a vital
molecule for diagnosing the state of astrophysical and terrestial gases
containing carbon, available spectroscopic data on hot ${\rm C}_3$  are sparse and studies 
limited as a consequence.  As steps towards constructing a full line-list involving states with 
energies $(\leqslant{\,}4000{\,}{\rm cm}^{-1}$) we have undertaken two tasks.
First, levels and
corresponding line strengths have been calculated for 
$^{12}{\rm C}^{12}{\rm C}^{12}{\rm C}$ and its isotopologues 
($^{12}{\rm C}^{13}{\rm C}^{12}{\rm C}$ and
$^{13}{\rm C}^{12}{\rm C}^{12}{\rm C}$) for 0 $\leqslant$ J $\leqslant$
20 and 0 $\leqslant$ K $\leqslant$ 15.  Partition functions and
cross-sections have been deduced for temperatures $\leqslant$ 20K and
made available for absorption line studies at interstellar conditions.
These results can be compared with the astronomical observations of Giessen {\it et al.} [1]
Second, a MARVEL (measured vibration rotation energy levels) study has been
completed: transition data covering both the ground ($\Tilde{X}$\,$^1\Sigma^+_{\rm g}$) and first singlet excited ($\Tilde{A}$\,$^1\Pi_{\rm u}$)
states were extracted from 13 sources giving a set of 4773 transitions from which 1687 energy
levels covering both the $\Tilde{X}$ and $\Tilde{A}$ state were extracted. The recent work of
Martin-Drumel et al. [2] provided a particularly useful starting point for this study.
Results of both studies will be reported at the conference.
\vspace{0.5cm}\\
\begin{small}
\mbox{[1]} T.F. Giesen et al., Astron. Astrophys., 633, A120 (2020).\\
\mbox{[2]} M.-A. Martin-Drumel et al., J. Molec. Spectrosc. 391,  111734 (2023).
\end{small}



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