The methods of calculation of the equilibrium constants and electronic absorption spectra of charge-transfer complexes are discussed with special emphasis on the treatment of the contact interaction. In particular, a model for the pseudo-equilibrium of contact complexes is developed. It is shown that a small but nonzero effective equilibrium constant can be defined for contact pairs and all higher order contact complexes. The results are applied to the study of the interaction of C 60 and C 70 with naphthalene and 1-methylnaphthalene, with the main goal being to establish the nature of the interaction of the fullerenes with these aromatic hydrocarbons. It is concluded that only simple contact complexes are formed, for which several spectroscopic parameters are obtained.
IntroductionCharge-transfer (CT) bands in electronic absorption spectra are often observed in solutions where the solvent-solute interaction is of the donor-acceptor type. They are also observed when a suitable donor-acceptor pair is dissolved in an inert solvent. However, the existence of a CT band does not imply the existence of a stable charge-transfer complex. Essentially unbound molecular pairs, the so-called contact pairs (which could also be called physical complexes), may also display a modified absorption spectrum, including the appearance of one or more broad, structureless CT bands. 1-3 The binding energy of contact pairs is negligible, that is, smaller than the thermal agitation energy (RT = 3 kJ mol -1 at 300 K), and the apparent formation equilibrium constant K is very small (typically between 0.1 and 1 M -1 , see Section 3) and temperature independent. However, for stable ground-state CT molecular complexes, the binding energy is significant and the formation equilibrium constant is much larger than the statistical pair value, decreasing with a temperature increase according to the van't Hoff equation.The existence of CT bands in the absorption spectrum of the contact pair implies that, unlike the ground state, some of its excited states have a significant binding energy. When the lowest excited state is bound, one can speak of an exciplex. However, it may also happen that the lowest excited state of the contact pair is of the locally excited (LE) type, the excitation being mainly localized in the donor or in the acceptor. In such a case, all CT bands correspond to transitions to higher excited states.There are, therefore, two types of contact pairs: (i) Those that form exciplexes (exciplex forming contact pairs), whose lowest CT band corresponds to a transition to the first excited state; and (ii) Those that do not form exciplexes, whose CT bands correspond to transitions to higher excited states (simple contact pairs). We note that the energy of (emissive) exciplexes is defined by the relevant band in the observed fluorescence spectrum whose frequency corresponds to the relaxed geometry of the excited complex and not to that of the Franck-Condon state relevant for absorption.