A concept relating the lipophilicity of chemicals with their genotoxicity on a chromosomal level had been generated by Schultz and Onfelt (Chem Biol Interact 126:97-123, 2000). It was shown that aneuploidy in Chinese hamster V79 cells was elicited by lipophilic chemicals at concentrations related to their hydrophobicity (log P), whereas toxicants with a specific mode of action acted at concentrations consistently lower than predicted based on log P. We have now combined available data sets on aneuploidy/micronucleus formation with procedures used in QSAR modelling, in order to find new molecular descriptors for modelling non-specific chromosomal genotoxicity, and to optimise combinations thereof. Molecular structures of 26 chemicals, including steroids, were converted into single 3D models using Corina (version 3.20), and 11 descriptors of molecular properties were calculated. The data of 16 compounds assigned to a non-specific mode of action were imported into the QSAR module of the software package Cerius(2) (version 4.10). Applying genetic function approximation (GFA), linear equations were set up relating molecular descriptors with experimental concentrations at which doubling of micronuclei occurred in V79 cells (exp -log C). The number of variables (molecular descriptors) was limited to a maximum of three, and linear and quadratic terms were allowed. Based on the descriptions provided by the GFA procedure, log P was the most suitable single property to describe non-specific genotoxicity [r (2 ) = 0.88], confirming the original concept of Schultz and Onfelt. Using more descriptors (up to three in combination) resulted in an optimization of correlations up to r (2 )= 0.97. Such optimal correlation coefficients were obtained by combinations (a) of the numbers of hydrogen bond acceptors, the polar surface and total surface areas of molecules on one hand, and by (b) the dipole moment, polar surface and total surface descriptors on the other hand. In essence, the relation of polar surface to the total molecular surface appears pivotal to determine the non-specific chromosomal genotoxicity of lipophilic compounds.