Table 7: The physical parameters for the observed ISO/LWS positions. 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 H2, volume filling, column density of H2, 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. The last column lists the reduced $\chi ^2$ fit result for 11 lines (6 KOSMA, 2 FCRAO and 3 ISO).
Position Radii $T_{{\rm gas}}$ $n({\rm H}_2)$ $\phi_{\rm v}$a $N({\rm H}_2)$b Massc $\chi_0^2$
  [pc] [K] [104 $\hbox{{\rm cm}}^{-3}$] volume filling [1021 cm-2] [$M_\odot$(D/1.7 kpc)2]  
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 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 (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 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
$^{{\rm {\it a}}}$ The product of the volume filling and the abundance of the species is one of the free parameters. We fixed the abundance [X/H2] of 12CO to $2\times 10^{-4}$ (resp. $3.1 \times 10^{-6}$ for 13CO and $4 \times 10^{-7}$ for C18O). $^{{\rm {\it b}}}$ Column densities are source-averaged and not normalized to 80''. $^{{\rm {\it c}}}$  The molecular gas mass is derived from the cloud-averaged density. This density is the product of local H2 density of the clumps and volume filling correction $\phi_{\rm v}$.


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