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Zhining Tao, Scott A. Braun, Jainn J. Shi, Mian Chin, Dongchul Kim, Toshihisa Matsui, and Christa D. Peters-Lidard

concentration based on an empirical function depending on temperature and aerosol concentration ( DeMott et al. 2010 ; Shi et al. 2014 ). The estimated CCN is then applied to the autoconversion following the Liu and Daum (2004) formula. The estimated IN number concentrations are applied to the grid-scale cloud physics through the Goddard microphysics scheme as described in W.-K. Tao et al. (2003) and Lang et al. (2011) , in which IN influences the conversion of ice crystals to snow and the growth of

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