New particle formation has been observed to take place all around the world. However, because of the inability to determine the chemical composition of the smallest clusters or particles, indirect tools such as the correlation between nucleation rate and measured sulfuric acid concentrations have been used to infer the nucleation mechanism. In this study we describe the observed correlation with gaseous sulfuric acid concentrations by interactions of sesquiterpene oxidation products with sulfuric acid. Two formation pathways of nucleation initiating molecules are considered. The interaction of sulfuric acid with organic sulfates, which are formed from stabilized Criegee intermediates (sCIs, formed from sesquiterpenes), can be used to explain the observed squared relationship between particle formation rate and ambient sulfuric acid concentrations. The corresponding linear dependence is explained with the participation of secondary ozonides, which are formed from sCIs and aldehydes. Both pathways are negatively affected by increasing water vapor concentration as observed in recent studies. In order to check the assumptions made we apply the derived nucleation coefficients to measurements of the BACCI/QUEST IV campaign made during spring 2005 in Hyytiälä, Finland. A reasonable agreement between the measurement data and the predicted nucleation rates is found, giving support for the presented nucleation description.