\begin{table}%T7
\caption{
The physical parameters for the observed ISO/LWS positions. % (cf. Fig.~\ref{fig_bb1}).
The radii listed in Col.~2 give the inner and outer edge of each shell.
Columns~3 to~7 lists the temperature, clump-averaged number density of H$_2$, volume filling, column density
of H$_2$, and the gas mass.
For these columns, the first entry is the mass-averaged value for the whole cloud, values in parentheses show averages within each shell.
%Values in column 3--7 are averaged relative to the total mass. Values in brackets are averages for each shell.
The last column lists the reduced $\chi^2$ fit result for 11 lines (6 KOSMA, 2 FCRAO and 3 ISO).
} \label{tab-carbon-content}
\par
%\centerline
 {\small
\begin{tabular}{lccccccc}
%\noalign{\smallskip} 
\hline \hline\\[-3.2mm] %\noalign{\smallskip}
  Position &Radii&$T_{{\rm gas}}$&$n(\RM{H}_2)$&$\phi_{\rm v}$$^a$&$N(\RM{H}_2)$$^b$ & Mass$^c$ & $\chi_0^2$\\
 &[pc]&[K]&[$10^4$ \percc]&volume filling&[$10^{21}$~\cmsq] &[\msol ($D$/1.7~kpc)$^2$]\\
%\noalign{\smallskip} 
\hline 
%\noalign{\smallskip}
DR21 E{} &0.04/0.2/0.3&62 (87/55)&92 (300/4.8)&0.04 (0.01/0.89)&46 (9/37)& 243 (46/197) & 2.2 \\  % dr21_1_newmodel1
%DR~21 E{} &0.04/0.2/0.3&62 (87/54)&92 (300/4.8)&0.03 (0.01/0.6)&34 (9/25)&179 (47/133) & 4.3 \\  % dr21_1_newmodel1
%DR~21 E{} &0.04/0.2/0.3&68 (88/63)&67 (220/4.8)&0.04 (0.01/0.6)&31 (6/25)&166 (34/133) & 22.5 \\ % dr21_1_model1
DR21 C{} & 0.12/0.2/0.6 & 36 (148/32) & 110 (40/110)& 0.024 (0.08/0.02) &65 (2/63) & 1379 (51/1328) & 3.5\\
DR21 W{} &0.04/0.1/0.3&54 (118/52)&12 (100/9)&0.59 (0.06/0.8)&88 (3/85)&489 (15/474) & 2.8 \\ % dr21_3_newmodel1_phys.inp.in
DR21 (OH)&0.04/0.2/0.7& 31 (99/29)& 161 (220/160)&  0.01 (0.01/0.01)&49 (1/48)&1421 (34/1387) & 3.9\\ % dr21_oh_newmodel6
DR21 FIR1&0.04/0.2/0.5&41 (82/37)&16 (220/2)& 0.1 (0.01/1)&47 (4/43)&700 (59/641) & 4.1 \\
\hline 
\end{tabular}}
\par
\medskip
$\NOTE{a}$ The product of the volume filling and the abundance of the species is one of the free parameters. We fixed the abundance
[$X$/H$_2$] of $^{12}$CO to $2\times 10^{-4}$ (resp. $3.1 \times 10^{-6}$ for $^{13}$CO and $4 \times 10^{-7}$ for C$^{18}$O).
$\NOTE{b}$ Column densities are source-averaged and not normalized to $80''$.
$\NOTE{c}$~
The molecular gas mass is derived from the cloud-averaged density.
This density is the product of local H$_2$ density of the clumps and volume filling correction $\phi_{\rm v}$.
\end{table}