Immersion freezing experiments were performed utilizing two distinct single-droplet levitation methods. In the Mainz vertical wind tunnel (M-WT) supercooled droplets of 700μm diameter were freely floated in a vertical air stream at constant temperatures ranging from −5 °C to −30 °C where heterogeneous freezing takes place. These investigations under isothermal conditions allow applying the stochastic approach to analyze and interpret the results in terms of the freezing or nucleation rate. In the Mainz acoustic levitator (M-AL) 2 mm diameter drops were levitated while their temperature was continuously cooling from +20 °C to −28°C by adapting to the ambient temperature. As ice nucleating particles, seven materials were investigated, two representatives of biological species (fibrous and microcrystalline cellulose), four mineraldusts (feldspar, illite NX, montmorillonite, and kaolinite), and natural Sahara dust. Based on detailed analysis of our results we determined a material dependent parameter for calculating the freezing temperature shift due to a change in cooling ratefor each investigated particle type. The analysis allowed further classifying the investigated materials to be described by asingle- or a multiple-component approach. These files contain the data used for generating the plots in the publication. The two Readme files contain information for the data structure stored in *ns and *ln(nN) data files.