Measurements of heterogeneous nucleation of several different compounds on different composition nuclei have shown several distinct patterns of nucleation and growth. Some of the specific behaviors for condensation activation of heterophilic (energetically nonuniform) aerosol nanoparticles have been theoretically analyzed based on a model of double-barrier nucleation (DBN) with an emphasis on scale and supersaturation effects. A new "semiempirical" method for collecting nucleation data from the condensation size spectrum of CN was developed. These results have been used to provide a qualitative interpretation of experimental data on the transformation of the initial size distribution spectrum of nanoparticles in a turbulent mixing condensation nuclei counter.