All Figures

$\begin{figure} \par\mbox{\includegraphics[width=8.5cm,clip]{7034f1a.eps} \includegraphics[width=8.5cm,clip]{7034f1b.eps} } \end{figure}$ Figure 1: The observed spectra of the clouds in the main beam brightness temperature scale. The higher transitions CO spectra are convolved to the CO(1-0) beam size of $45\hbox {$^{\prime \prime }$ }$ and the CS (3-2) spectra are scaled by 0.7 to "mimic'' the beam response of the CS (2-1) line.
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In the text

$\begin{figure} \par\mbox{\includegraphics[width=7.8cm,clip]{7034f2a.eps}\hspace*{2mm} \includegraphics[width=7.5cm,clip]{7034f2b.eps} } \end{figure}$ Figure 2: RADEX solutions for SMC-B1#1 ( left) and Lirs 36 ( right). The upper panels show the ${\chi ^2}$ contours on a logarithmic scale in steps of 0.2 (SMC-B1#1) and 0.1 (Lirs 36). The last contour is 0.7 ( ${\chi ^2}$ = 5) for SMC-B1#1 and 1.3 ( ${\chi ^2}$ = 20; twice the minimum value) for Lirs 36. The middle panels show CO column density contours in steps of 0.1. The leftmost contours correspond to the smaller values. The lower panel gives the contours of the surface filling factor in % where contour levels increase from the upper right corner. The dashed contours are in a step of 1, while the full lines are with a step of 10; the ranges are indicated above the panels. In the two lower panels the ${\chi ^2}$ contours restricting the range of solutions are overlayed. These solutions are for $[^{12}{\rm CO}/^{13}{\rm CO}]=50$ and $n {\rm (H_2)}=10^{3}$ cm^-3 (SMC-B1#1), and [¹²CO/¹³CO] = 100 and $n {\rm (H_2)}=10^{3.5}$ cm^-3 (Lirs 36). $N {\rm (CO)}$ is in units of [cm^-2], $\Delta {v}$ in [km s^-1] and $T_{\rm kin}$ in [K].
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig3.eps} \end{figure}$ Figure 3: SMC-B1#1: minimum ${\chi ^2}$ solutions as a function of the [¹²CO/¹³CO] ratio at different hydrogen densities $n {\rm (H_2)}=10^{3}$ cm^-3 (black solid), 10^3.5 cm^-3 (dash), 10⁴ cm^-3 (dot), 10^4.5 cm^-3 (dash-dot) and 10⁵ cm^-3 (grey solid with a square at the highest ratio). $N {\rm (CO)}$ is in units of cm^-2.
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig4.eps} \end{figure}$ Figure 4: Lirs 36: minimum ${\chi ^2}$ solutions as a function of the [¹²CO/¹³CO] ratio at different hydrogen densities. The $n {\rm (H_2)}$ densities legend and the $N {\rm (CO)}$ units as in Fig. 3.
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig5.eps} \end{figure}$ Figure 5: Lirs 49 c2: minimum ${\chi ^2}$ solutions as a function of the [¹²CO/¹³CO] ratio at different hydrogen densities. The $n {\rm (H_2)}$ densities legend and the $N {\rm (CO)}$ units as in Fig. 3.
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig6.eps} \end{figure}$ Figure 6: Average ${\chi ^2}$ plots from SMC-B1#1 simulations of different combinations of $^{12}{\rm CO}/^{13}{\rm CO}$ ratios and $n {\rm (H_2)}$ densities. Each plot is the result of 50 simulations of different noise contributions generated randomly with statistics in accordance with the estimated observational errors. Input data are: a) model: [ $^{12}{\rm CO}/^{13}{\rm CO}]=40$ , $n {\rm (H_2)}=10^{3.5}$ cm^-3, $T_{\rm kin}=20$ K and $N({\rm CO})=4$ $\times$ 10¹⁶ cm^-2; b) model: [ $^{12}{\rm CO}/^{13}{\rm CO}]=100$ , $n {\rm (H_2)}=10^{3.5}$ cm^-3, $T_{\rm kin}=15.9$ K and $N({\rm CO})=10^{17}$ cm^-2; c) model: [ $^{12}{\rm CO}/^{13}{\rm CO}]=200$ , $n {\rm (H_2)}=10^{3.5}$ cm^-3, $T_{\rm kin}=12.6$ K and $N({\rm CO})=1.6$ $\times$ 10¹⁷ cm^-2. The $n {\rm (H_2)}$ densities legend is given in the Fig. 3 caption.
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In the text

$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig7.eps} \end{figure}$ Figure 7: 2-component model of Lirs 36: minimum ${\chi ^2}$ solutions as a function of the ¹²CO/¹³CO ratio at different $n {\rm (H_2)}$ densities. The model parameters are: the isotope ratio [¹²CO/¹³CO] = 100, $T_{\rm kin1}=20$ K, $T_{\rm kin2}=100$ K, $n{\rm (H_2)}_1=10^4$ cm^-3, $n{\rm (H_2)}_2=10^{3.5}$ cm^-3, and $N({\rm CO})_1= 2$ $\times$ 10¹⁷ cm^-2 and $N({\rm CO})_2=5$ $\times$ 10¹⁵ cm^-2. The $n {\rm (H_2)}$ densities legend is given in the Fig. 3 caption.
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In the text

$\begin{figure} \par\mbox{\includegraphics[width=8.5cm,clip]{7034f1a.eps} \includegraphics[width=8.5cm,clip]{7034f1b.eps} } \end{figure}$	Figure 1: The observed spectra of the clouds in the main beam brightness temperature scale. The higher transitions CO spectra are convolved to the CO(1-0) beam size of $45\hbox {$^{\prime \prime }$ }$ and the CS (3-2) spectra are scaled by 0.7 to "mimic'' the beam response of the CS (2-1) line.
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$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig3.eps} \end{figure}$	Figure 3: SMC-B1#1: minimum ${\chi ^2}$ solutions as a function of the [¹²CO/¹³CO] ratio at different hydrogen densities $n {\rm (H_2)}=10^{3}$ cm^-3 (black solid), 10^3.5 cm^-3 (dash), 10⁴ cm^-3 (dot), 10^4.5 cm^-3 (dash-dot) and 10⁵ cm^-3 (grey solid with a square at the highest ratio). $N {\rm (CO)}$ is in units of cm^-2.
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$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig4.eps} \end{figure}$	Figure 4: Lirs 36: minimum ${\chi ^2}$ solutions as a function of the [¹²CO/¹³CO] ratio at different hydrogen densities. The $n {\rm (H_2)}$ densities legend and the $N {\rm (CO)}$ units as in Fig. 3.
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$\begin{figure} \par\includegraphics[width=7.9cm,clip]{7034fig5.eps} \end{figure}$	Figure 5: Lirs 49 c2: minimum ${\chi ^2}$ solutions as a function of the [¹²CO/¹³CO] ratio at different hydrogen densities. The $n {\rm (H_2)}$ densities legend and the $N {\rm (CO)}$ units as in Fig. 3.
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