To gain some insight into the effects of fluorination on the aromatic-aromatic interactions found in proteinligand complexes, like those observed in the set of N-(4-sulfamylbenzoyl)benzylamine (SBB) inhibitors bound to Human Carbonic Anhydrase II (HCAII), we have produced potential energy curves for the edge-to-face interactions of a set of fluorinated benzene dimer compounds. All calculations were carried out at the MP2/aug-cc-pVDZ level of theory using the counterpoise method of Boys and Bernardi (Boys, S. F.; Bernardi, F. Mol. Phys. 1970, 19, 553) to account for the basis set superposition error. Fluorine substitutions are made onto the face molecule of the edge-to-face benzene dimer. As one might expect, the substitution of additional fluorines into this system generally resulted in a decrease of the binding energy. It was also found that the positioning of the fluorine substituents on isosubstituted compounds has a large effect on the total binding energy of these types of systems. More specifically, complexes with fluorines that are substituted closer to the hydrogen atoms of the edge benzene will tend to be stabilized by an electrostatic interaction between the partially negative fluorine atoms and the partially positive hydrogen atoms. However, our findings do not explain the recent crystallographic findings for the SBB-HCAII protein-ligand complex, where increased fluorination resulted in closer edge-to-face contacts, which suggests that there are factors, other than edge-to-face aromatic interactions, influencing this system's behavior.