# Source-Based Size-Resolved Optical Properties of Carbonaceous Aerosols
## 3 Results and Discussion  
Table 1 shows the source-based MAEs and MEEs for different \(d_{g0}\) and IRIs of HULIS. The \(\sigma_{g}\) is assumed to be 1.5. The \(d_{g0}\) of 0.1 and 0.5 \(\upmu\)m and IRIs of 0.006 and 0.3 are compared. Table 1 shows that the MEEs of biogenic sources are relatively higher than that of other sources at a \(d_{g0}\) of 0.1 compared with that at 0.5 \(\upmu\)m. This means that the biogenic source is closely related to EC. Figure A3 shows the size-resolved MEE of each carbonaceous aerosol. As shown in Figure A3, the 0.3 for MEE of EC and for HULIS for IRI is higher for small particles and decreases as \(d_{g0}\) increases. Because of the size dependency of source aerosol, the MEEs of LBB and local BB are higher at a \(d_{g0}\) of 0.5 \(\upmu\)m compared with those at a \(d_{g0}\) of 0.1 \(\upmu\)m. The MAE of the biogenic source is higher at a \(d_{g0}\) of 0.1 \(\upmu\)m compared with that at a \(d_{g0}\) of 0.5 \(\upmu\)m. The MAEs become higher for all sources as the IRI of HULIS increases. Table 1 also shows that the single scattering albedo (SSA) differs depending on the \(d_{g0}\). The SSA for smaller biogenic source particles was lower than other sources. The influence of the HULIS imaginary refractive index on SSA is greater at smaller particle sizes. This is because the MEE and MAE is more sensitive to small particles than large particles. Figure 3 shows the source-based extinction (\(b_{ext,s}\)) and absorption coefficient (\(b_{abs,s}\)) of carbonaceous aerosols with different \(d_{g0}\) and IRIs of HULIS. In this study, \(d_{g0}\) values of 0.1 and 0.5 \(\upmu\)m and IRIs of 0.006 and 0.3 were considered. The source-based extinction (\(b_{ext,s}\)) and absorption (\(b_{abs,s}\)) coefficients can be calculated from the source-based MEEs and MAEs using Equation (4) and the source-based mass concentration from the PMF model. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \(d_{g0}\) **Geometric Mean** & **Sources** & **MEE** & **MAE** & **SSA** \\ \hline \multirow{4}{*}{\(d_{g0}=0.1\), IRI(HULIS) = 0.006} & LBB & 2.50 & 0.56 & 0.78 \\ \cline{2-5}  & Local BB & 2.60 & 0.65 & 0.75 \\ \cline{2-5}  & SOA & 2.53 & 0.55 & 0.78 \\ \cline{2-5}  & Biogenic & 2.93 & 0.89 & 0.69 \\ \cline{2-5}  & Mixed & 2.53 & 0.56 & 0.78 \\ \hline \multirow{4}{*}{\(d_{g0}=0.5\), IRI(HULIS) = 0.00} & LBB & 4.56 & 0.30 & 0.93 \\ \cline{2-5}  & Local BB & 4.55 & 0.32 & 0.93 \\ \cline{2-5}  & SOA & 4.56 & 0.30 & 0.93 \\ \cline{2-5}  & Biogenic & 4.47 & 0.38 & 0.91 \\ \cline{2-5}  & Mixed & 4.56 & 0.30 & 0.93 \\ \hline \multirow{4}{*}{\(d_{g0}=0.1\), IRI(HULIS) = 0.3} & LBB & 3.85 & 2.03 & 0.47 \\ \cline{2-5}  & Local BB & 3.88 & 2.03 & 0.48 \\ \cline{2-5}  & SOA & 4.31 & 2.48 & 0.43 \\ \cline{2-5}  & Biogenic & 4.53 & 2.64 & 0.42 \\ \cline{2-5}  & Mixed & 4.03 & 2.21 & 0.45 \\ \hline \multirow{4}{*}{\(d_{g0}=0.5\), IRI(HULIS) = 0.3} & LBB & 4.27 & 0.91 & 0.79 \\ \cline{2-5}  & Local BB & 4.27 & 0.90 & 0.79 \\ \cline{1-1} \cline{2-5}  & SOA & 4.19 & 1.11 & 0.74 \\ \cline{1-1} \cline{2-5}  & Biogenic & 4.13 & 1.11 & 0.73 \\ \cline{1-1} \cline{2-5}  & Mixed & 4.23 & 0.99 & 0.77 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Source-based mass extinction efficiencies (_MEEs_), mass absorption efficiencies (_MAEs_) and single scattering albedo (SSA) for different size distributions and imaginary refractive indices (IRIs) of HULIS (\(\sigma_{g}\) = 1.5). (LBB: long range transported biomass burning; Local BB: local biomass burnig; SOA: secondary organic aerosol). Figure 3 shows that the source-based extinction (\(b_{ext,s}\)) and absorption coefficient (\(b_{abs,s}\)) depend on d\({}_{\rm g}\) and IRI. Overall \(b_{ext}\) is larger at a \(d_{g0}\) of 0.5 \(\upmu\)m than at 0.1 \(\upmu\)m for IRIs of 0.006. On the contrary, \(b_{abs}\) is larger at a \(d_{g0}\) value of 0.1 \(\upmu\)m than at 0.5 \(\upmu\)m. The IRI of the HULIS significantly affects \(b_{abs}\), which means that \(b_{abs}\) at an IRI of 0.3 is larger than at 0.006.