Attention has been drawn to black carbon aerosols, as a target for short-term mitigation of climate warming. This measure seems attractive because soot is assumed to warm the atmosphere and at the same time has a lifetime of just a few days. Therefore regulating soot emissions could, as a short-term action, potentially buy time by slowing global warming until regulations for longer lived greenhouse gases are set in place. Currently the scientific community debates the impacts of such mitigation measures, and mitigation modeling studies show incoherent answers. One of the main reasons for those disagreements are semi-direct aerosol effects. In this study we apply the GISS/MATRIX model, a global climate model including detailed aerosol microphysics, to understand the single contributions of aerosol forcings and feedbacks when testing the single sector emissions of the AR5 data sets. In this presentation I want to explain the differences in black carbon research carried out with complex microphysical models, by focusing on the treatment of mixing state, and separation between forcings and feedbacks.