The reorganization energy of cytochrome c revisited

The solution structures of the reduced and oxidized forms of the cytochrome c are used to reevaluate the reorganization energy for oxidation of cytochrome c. This is achieved by using the linear response approximation in concert with the NMR structures as pseudo energy constraints. Alternative estimates, obtained using a free energy perturbation approach employing umbrella sampling and a continuum dielectric approach, are also provided. The reorganization energy obtained is larger than that previously estimated using crystal structures of the protein Nevertheless, the present estimate remains significantly smaller than the corresponding reorganization energy in water (9-15 kcal mol(-1) as compared to approximate to 37 kcal mol(-1) in water) and the protein contribution to the reorganization energy is only 8-10 kcal mol(-1). This provides further support for the proposal that proteins assist in electron transfer reactions by reducing the relevant reorganization energies. The solution structures are also used to estimate the redox potential of cytochrome c. Several strategies are employed including a newly formulated scaled linear response approximation. The calculations agree reasonably well with the observed redox potential. Analysis of the group contributions to the reorganization energy and redox potential reveals a clear energetic linkage between these fundamental parameters of electron transfer and a redox-dependent surface feature likely to influence recognition of cytochrome c by its redox partners. Specifically, the rearrangement of Ile81 and other residues at the heme edge upon a change in oxidation state gives rise to a large contribution to both the redox potential and the reorganization energy. Finally this work is used to explore and illustrate the meaning of macroscopic dielectric models. It is shown that the ''proper'' dielectric constant depends strongly on the model used since it basically represents the implicit contributions of the given model rather than a fundamental physics. Thus we obtain different effective dielectric constants for different treatments of redox potential and reorganization energy.