Bimolecular Electron Transfers That Follow a Sandros鈭払oltzmann Dependence on Free Energy
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Rate constants (k) for exergonic and endergonic electron-transfer reactions of equilibrating radical cations (A鈥? + B A + B鈥?) in acetonitrile could be fit well by a simple Sandros鈭払oltzmann (SB) function of the reaction free energy (螖G) having a plateau with a limiting rate constant kb>limb> in the exergonic region, followed, near the thermoneutral point, by a steep drop in log k vs 螖G with a slope of 1/RT. Similar behavior was observed for another charge shift reaction, the electron-transfer quenching of excited pyrylium cations (P+*) by neutral donors (P+* + D 鈫?P鈥?/sup> + D鈥?). In this case, SB dependence was observed when the logarithm of the quenching constant (log kb>qb>) was plotted vs 螖G + s, where the shift term, s, equals +0.08 eV and 螖G is the free energy change for the net reaction (Eb>redoxb> 鈭?Eb>excitb>). The shift term is attributed to partial desolvation of the radical cation in the product encounter pair (P鈥?/sup>/D鈥?), which raises its free energy relative to the free species. Remarkably, electron-transfer quenching of neutral reactants (A* + D 鈫?A鈥⑩垝 + D鈥?) using excited cyanoaromatic acceptors and aromatic hydrocarbon donors was also found to follow an SB dependence of log kb>qb> on 螖G, with a positive s, +0.06 eV. This positive shift contrasts with the long-accepted prediction of a negative value, 鈭?.06 eV, for the free energy of an A鈥⑩垝/D鈥? encounter pair relative to the free radical ions. That prediction incorporated only a Coulombic stabilization of the A鈥⑩垝/D鈥? encounter pair relative to the free radical ions. In contrast, the results presented here show that the positive value of s indicates a decrease in solvent stabilization of the A鈥⑩垝/D鈥? encounter pair, which outweighs Coulombic stabilization in acetonitrile. These quenching reactions are proposed to proceed via rapidly interconverting encounter pairs with an exciplex as intermediate, A*/D exciplex A鈥⑩垝/D鈥?. Weak exciplex fluorescence was observed in each case. For several reactions in the endergonic region, rate constants for the reversible formation and decay of the exciplexes were determined using time-correlated single-photon counting. The quenching constants derived from the transient kinetics agreed well with those from the conventional Stern鈭扸olmer plots. For excited-state electron-transfer processes, caution is required in correlating quenching constants vs reaction free energies when 螖G exceeds +0.1 eV. Beyond this point, additional exciplex deactivation pathways鈥攆luorescence, intersystem crossing, and nonradiative decay鈥攁re likely to dominate, resulting in a change in mechanism.

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