The Extinction and Distance of the MBM Molecular Clouds at High Galactic Latitude

Based on the accurate color excess $E_{{\mathrm{G}}_{\mathrm{B}\mathrm{P}},{\mathrm{G}}_{\mathrm{R}\mathrm{P}}}$ of more than 4 million stars and $E_{\mathrm{N}\mathrm{U}\mathrm{V},{\mathrm{G}}_{\mathrm{B}\mathrm{P}}}$ of more than 1 million stars from \citet{2021ApJS…254…38S}, the distance and the extinction of the molecular clouds in the MBM catalog at $\mathrm{\mid }b\mathrm{\mid }>{20}^{\circ }$ are studied in combination with the distance measurement of \emph{Gaia}/EDR3. The distance as well as the color excess is determined for 66 molecular clouds. The color excess ratio $E_{\rm G_{BP},G_{RP}}/E_{\rm NUV,G_{BP}}$ is derived for 39 of them, which is obviously larger and implies more small particles at smaller extinction. In addition, the scale height of the dust disk is found to be about 100 pc and becomes large at the anticenter direction due to the disk flaring.