Table 1:

Results of fits of one and two emission components to the measured spectral energy distributions (SEDs) of the MIPS, PACS, SPIRE data of M 33 shown in Fig. 3.
  Total (1) (2) (3) (4)
Isothermal fits    
T/[K] 29 25 28 105 37
$\beta$ 0.5 1.4 0.8 -1.8 -0.8
$\chi^2_{\rm red}$ 45 44 45 3 6

Two-component fits with $\beta =2$
   
$T_{\rm c}$/[K] 16 20 17 14 12
$T_{\rm w}$/[K] 50 55 51 49 48
$M_{\rm c}$/[106 $M_{\odot}$] 8.0 1.0 2.4 3.6 4.0
$M_{\rm c}/M_{\rm w}$ 1000 900 900 1700 5600
$\chi^2_{\rm red}$ 0.41 0.23 0.33 0.42 1.8
$M_{\rm gas}/M_{\rm c}$ 250 230 180 160 200
Two-component fits with $\beta =1.5$    
$T_{\rm c}$/[K] 19 24 20 16 13
$T_{\rm w}$/[K] 55 77 57 52 51
$M_{\rm c}$/[106 $M_{\odot}$] 10 1.2 3.0 4.6 4.9
$M_{\rm c}/M_{\rm w}$ 500 3800 480 730 2200
$\chi^2_{\rm red}$ 0.14 0.10 0.12 0.20 1.8
$M_{\rm gas}/M_{\rm c}$ 200 190 150 120 160
Two-component fits with $\beta=1$    
$T_{\rm c}$/[K] 23 28 24 19 15
$T_{\rm w}$/[K] 62 - 67 57 55
$M_{\rm c}$/[106 $M_{\odot}$] 12 1.6 3.6 5.7 5.8
$M_{\rm c}/M_{\rm w}$ 300 - 440 330 870
$\chi^2_{\rm red}$ 0.22 0.6 0.26 0.30 2.4
$M_{\rm gas}/M_{\rm c}$ 170 140 120 100 140
Total gas mass    
$M_{\rm gas}/[10^6~$$M_{\odot}$] 2020 230 440 560 790

Notes. For the two-component fits, the dust emissivity index was kept fixed. $T_{\rm c}$, $T_{\rm w}$ are the temperatures of the cold and warm component. $M_{\rm c}$ is the total cold dust mass per annulus. $M_{\rm c}/M_{\rm w}$ is the dust mass ratio of both components. $\chi^2_{\rm red}$ is the $\chi^2$ divided by the number of observed parameters minus the number of fitted parameters minus 1. The 100 $\mu $m flux density measured in the outermost zone was not used for the fits. The columns give the radial annuli: Total: 0<R<8 kpc, (1): 0<R<2 kpc, (2): 2<R<4 kpc, (3): 4<R<6 kpc, (4): 6<R<8 kpc. The last line at the bottom of the table gives the total gas masses $M_{\rm
gas}=1.36~(M({\rm H}_2)+M($H I)) (Gratier et al. 2010).


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