Table 7: Physical parameters at the observed positions M 83 and M 51, derived from fitting the observed intensity ratios to PDR models of Kaufman et al. (1999). Column (2) gives the galacto-centric distance. Columns (3) and (4) list the fitted local densities and FUV fields together with the corresponding surface temperature (Col. (5)) and the minimum chi squared (Col. (6)). The filling factor $\phi _{\rm UV}=G_{0,\rm obs}/G_0$ reflects the ratio of TIR$_{\rm c}$ to the best fitting FUV field G0. $\phi _{\rm A}^{\rm CI}$ is the area filling factor of the [C I] emitting regions, i.e. the ratio of observed [C I] intensity vs. that of the best fit model, corrected for beam and velocity filling (see text).
( $\Delta\alpha$, $\Delta\delta$) $R_{\rm gal}$ n log(G0) T$_{\rm s}$ $\chi ^2$ log(G $_{0,\rm obs}$) $\phi_{\rm UV}$ $\phi _{\rm A}^{\rm CI}$
['', ''] [kpc] [104cm-3]   [K]        
(1) (2) (3) (4) (5) (6) (7) (8) (9)
M 83:                
(0, 0) 0.00 4.0 1.50 76. 2.8 2.16 4.57 0.019
(-80,-72) 1.93 4.0 1.50 76. 12.9 1.51 1.03 0.011
(89, 38) 1.76 4.0 1.50 76. 15.3 1.47 0.94 0.010
M 51:                
(0, 0) 0.00 4.0 1.25 66. 3.2 1.88 4.31 0.013
(72, 84) 5.40 4.0 1.25 66. 5.2 1.32 1.17 0.016
(-84,-84) 5.77 4.0 1.25 66. 14.1 1.19 0.88 0.009


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