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Christopher deleted file 12 vs 13 3.tex
about 10 years ago
Commit id: cdacceb38a1d262addbadc821c54a51f5d748a2f
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This odd result is due to the H_2 scaling, which is 60 times greater for \textsuperscript{13}CO
\subsection{Correction}
To correct for the fact that \textsuperscript{12}CO is opticaly thick, we use the following equation:
%
\begin{equation} %\label{eqn:mass-energy}
\frac{ T_{\rm mb 12}}{T_{\rm mb 13}} = \frac{[^{12}{\rm CO}]}{[ ^{13}{\rm CO}]} \frac{1 - e^{-\tau_{12}}}{\tau_{12}}
\end{equation}
taken from the Dunhan paper. This provides a correction for the optical depth of each \textsuperscript{12}CO voxel based on the \textsuperscript{13}CO equivalent voxel. Using this scaling, we obtained the following results.
