\begin{table}%t3 %\centering \par \caption{\label{table:slength}Exponential scale lengths of dust and gas emissions from M~31. } \begin{tabular}{ l l l l} \hline\hline \noalign{\smallskip} & $l_{\rm N}$~(kpc) & $l_{\rm S}$~(kpc) & $l$~(kpc)\\ \hline IR 160~$\mu$m & 1.86~$\pm$~0.06 & 3.87~$\pm$~0.18 & 2.29~$\pm$~0.11 \\ IR 70~$\mu$m & 1.38~$\pm$~0.08 & 3.07~$\pm$~0.17 & 1.66~$\pm$~0.09\\ IR 24~$\mu$m & 1.38~$\pm$~0.07 & 3.44~$\pm$~0.21 & 1.57~$\pm$~0.06 \\ H$_2$ & 1.14~$\pm$~0.07 & 2.40~$\pm$~0.22 & 1.27~$\pm$~0.11 \\ HI & 4.54~$\pm$~0.24 & 15.90~$\pm$~1.70 & 5.90~$\pm$~0.20 \\ HI+2H$_2$ & 3.80~$\pm$~0.12 & 9.00~$\pm$~0.69 & 4.73~$\pm$~0.21 \\ H$\alpha$ & 1.08~$\pm$~0.03 & 2.92~$\pm$~0.10 & 1.39~$\pm$~0.04 \\ \hline $\tau_{\rm H\alpha}$ & 2.48~$\pm$~0.07 & 5.06~$\pm$~0.22 & 3.17~$\pm$~0.15\\ % \hline \end{tabular} \tablefoot {The scale lengths were calculated from $R$~=~10.9~kpc to $R$~=~14.9~kpc for the whole galaxy~($l$) and the northern half ($l_{\rm N}$) and from $R$~=~8.9~kpc to $R$~=~14.9~kpc for the southern half ($l_{\rm S}$). The scale length of $\tau_{\rm H\alpha}$ is also shown for comparison.} \end{table}