Ferrocyanide carbon-13 NMR line broadening as a probe of electron transfer reactions

The electron transfer reaction between ferrocyanide ion and the blue copper protein, stellacyanin, has been investigated by means of 13C NMR line broadening of the inorganic oxidant. The temperature dependence of the ferrocyanide line broadening gives an activation energy for the electron transfer reaction of 17 +/- 3 kJ. The apparent rate constant decreases with increasing concentration of K4Fe(CN)6, a result which can be explained either by formation of a strong precursor ferrocyanide--stellacyanin [Cu(II)] complex or by increased formation of KFe(CN)3-6 ion pairs. The direct electron transfer between ferrocyanide and ferricyanide has also been studied by 13C NMR line broadening of the former species. The ferricyanide concentration dependence of the exchange line broadening yields a value for the apparent second-order rate constant at 25 degrees C of k = 1.65 . 10(3) M-1 . s-1, in agreement with previously reported values derived from 14N NMR and isotope exchange studies. This rate constant shows a linear dependence on the K+ concentration, independent of ionic strength, a result which confirms the importance of ion pair species such as KFe(CN)3-6 and KFe(CN)2-6 in the direct electron transfer mechanism. The general applications of the method are discussed, including the considerations which suggest that a wide range of electron transfer rates, from about 1 s-1 to 4 . 10(3) s-1, are, in principle, accessible to this technique. The potential utility of ferrocyanide 13C spin--lattice relaxation time measurements is decreasing the lower limit of this range is also discussed.