This paper is dedicated to Prof. Paola Gramatica on the occasion of her retirement.Abstract: Solubility of fullerenes in diverse solvents is difficult to model owing to the involvement of inherent quantum-mechanical interactions. This work proposes pure quantum mechanical models for predicting the solubility of C 70 fullerenes. The models are developed using singlemolecule quantum mechanical properties of solvents,which includes electron-correlation based descriptors accounting for the instantaneous inter-electronic interactions responsible for the origin of these properties. The external predictivity of the models was validated using an external prediction set of compounds not exposed to the model during its development. The most influential factor affecting the solubility was found to be electron-correlation contribution to the energy of highest occupied molecular orbital of solvents, which in fact, has been analyzed to suppress the solubility of fullerenes. However, the polarizability of the solvents, particularly that due to the quantum-mechanical exchange interactions between the electrons, is observed to drive the solubility of C 70 fullerenes. The present work also found several other quantum mechanical properties affecting the solubility of fullerenes, which pay valuable insights towards the origin of the solubility of carbon-based nanomaterials.Keywords: modelling · solubility · fullerenes · quantum-mechanical methods Recently, Gupta and Basant, [25] using the DTB method, has also attempted to model the solubility of C 70 fullerenes. Very recently, Torpova and Torpov, [26] has proposed nano-QSPRs based on a quasi-simplified molecular input-line entry systems (SMILES) which is an expansion of the traditional SMILES but under varying conditions. The aim of the present work is to explore the correlations between the solubility of C 70 fullerenes in diverse solvents and the single-molecule quantum-mechanical properties of these solvents. For this, the quantitative models based on the quantum-mechanical descriptors are [a] S. Lata, Vikas