Table 4: Comparison of model predictions for diffuse and dense clouds with the observed abundances (compared to $2N(\rm {H_{2}})+N(\rm {H})$) of CH and CH2 (X(CH) and X(CH2)). The diffuse cloud model is for the line of sight to $\zeta $ Per (van Dishoeck & Black 1986): vDB86. The quoted density and temperature are for the centre of the cloud in the model. The dense cloud models are steady state values corresponding to the gas phase "new standard model'' of Lee et al. (1996): L96 and the gas-grain model of Ruffle & Herbst (2001): RH01 including photochemistry (P1/A at 108 yr). The PDR model is for a density of 105 cm-3 and radiation field $\sim $650-900 times the average interstellar value (Jansen et al. 1995): J95. The observational results derived from our ISO measurements are shown as well as previous results from Lyu et al. (2001) and Hollis et al. (1995).
    Density Temperature X(CH) X(CH2) $[{\rm CH}/{\rm CH}_2]$
    (cm-3) (K) (10-8) (10-8)  
Model Diffuse (vDB86) 500 25 1.6 2.4 0.67
predictions: Dense (L96) 103 10 0.25 1.6 0.018
  Dense (L96) 105 10 0.0007 0.039 0.16
  Dense (RH01) $2\times10^{4}$ 10 0.1 1.2 0.08
  PDR (J95) 105   1.4 0.7 2.0
Results from Sgr B2 Line of Sight     0.6-3 0.2-1.1 $2.7\pm0.5$
this work: Sgr B2     0.05-0.2 0.02-0.07 $2.7\pm0.5$
  W49 N 37 km s-1         >1.4
  W49 N 61 km s-1         >0.8
  Sgr A$^{\ast }$         >2.6
Previous $\zeta $ Oph     1.8b 4.3a 0.4b
observational HD154368     1.9d 0.79c 2.4d
results: Orion-KL $\sim $105 100-200 0.06e 0.4e 0.1e
  W51 M $\sim $104 100-200 0.007e 0.07e 0.1e
a Combining $N({\rm CH}_2)$ from Lyu et al. (2001) with a hydrogen column density as quoted in van Dishoeck & Black (1986).
b Based on $N({\rm CH})=2.5 \times10^{13}$ cm-2 from van Dishoeck & Black (1989).
c Combining $N({\rm CH}_2)$ from Lyu et al. (2001) with a hydrogen column density from Snow et al. (1996).
d Based on $N({\rm CH})=8 \times10^{13}$ cm-2 from van Dishoeck & Black (1989).
e Taking values as quoted by Hollis et al. (1995) - but note that X(CH) could be significantly higher - see text.


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