Elementary Electron Transfer Research Articles

Electron Transfer Rates in Polar and Non-Polar Environments: a Generalization of Marcus' Theory to Include an Effective Treatment of Tunneling Effects.

A multistep kinetic model in which solvent motion is treated in the framework of Marcus theory and the rates of the elementary electron transfer step are evaluated at full quantum mechanical level is proposed and applied to the calculation of the rates of intramolecular electron transfer reactions in rigidly spaced D–Br–A (D = 1,1′-biphenyl radical anion, Br = androstane) compounds, for five acceptors (A) in three organic solvents with different polarity. The calculated rates agree well with experimental ones, and their temperature dependence is almost quantitatively reproduced.

Applications of Photogating and Time Resolved Spectroscopy to Mechanistic Studies of Hydrogenases.

Rapid and facile redox chemistry is exemplified in nature by the oxidoreductases, the class of enzymes that catalyze electron transfer (ET) from a donor to an acceptor. The key role of oxidoreductases in metabolism and biosynthesis has imposed evolutionary pressure to enhance enzyme efficiency, pushing some toward the diffusion limit. Understanding the detailed molecular mechanisms of these highly optimized enzymes would provide an important foundation for the rational design of catalysts for multielectron chemistry, including fuel production. The hydrogenases (H2ases) are the oxidoreductases that catalyze the most basic electron and proton transfer reactions relevant to fuel production, the interconversion of protons and hydrogen, with kcat > 103 s-1. Thus, they provide a model system for studying the efficiency exhibited by oxidoreductases. Because of the extraordinarily fast catalytic rates of these enzymes, their mechanisms have been difficult to study directly but instead have been inferred from structural and steady-state measurements. Although informative, the kinetic competency of observed equilibrium steps can only be suggested by these methods, not demonstrated, because the fundamental (fast) catalytic steps remain unresolved, resulting in minimal insight regarding the underlying ET and proton transfer (PT) events. Motivated by this gap in understanding, we developed an approach capable of observing elementary ET and PT during such fast enzyme turnover by combining a laser-induced potential jump with time-resolved spectroscopy. The potential jump initiates enzyme turnover by utilizing a short-pulsed laser to release a "caged" electron from a nanomaterial or NAD(P)H, which is then captured by a mediator such as methyl viologen. The subsequent enzyme reduction and turnover are monitored by transient absorption spectroscopy in the visible or mid-IR spectral regions. The method is completely general and in principle can be applied to any catalytic redox reaction. In the case of hydrogenases, time-resolved infrared spectroscopy of the active site CO ligands is particularly informative since the IR frequencies are exquisitely sensitive to the redox and protonation states. Using this methodology, we have developed a description of the catalytic mechanism of the Pyrococcus furiosus [NiFe]-hydrogenase by demonstrating the kinetic and chemical competency of equilibrium states and by invoking new intermediates. Additionally, the pre-steady-state kinetics revealed a distinct role of proton tunneling in concerted electron-proton transfer (EPT) modulated by a conserved glutamic acid residue. Similar multisite EPT processes have been implicated in numerous enzymes but have not been demonstrated explicitly. These methods have also been successfully applied to an electron bifurcating [FeFe]-H2ase from Thermotoga maritima, establishing the kinetic competency of the Hox, Hred, and Hsred intermediates of the [FeFe] enzyme. These results provide fundamental insight on the factors that control low barrier proton and electron flow in enzymes and thus provide a foundation for the rational design of reversible biomimetic catalysts.

Proton-Coupled Electron Transfer Reactions with Photometric Bases Reveal Free Energy Relationships for Proton Transfer.

The proton-coupled electron transfer (PCET) oxidation of p-aminophenol in acetonitrile was initiated via stopped-flow rapid-mixing and spectroscopically monitored. For oxidation by ferrocenium in the presence of 7-(dimethylamino)quinoline proton acceptors, both the electron transfer and proton transfer components could be optically monitored in the visible region; the decay of the ferrocenium absorbance is readily monitored (λmax = 620 nm), and the absorbance of the 2,4-substituted 7-(dimethylamino)quinoline derivatives (λmax = 370-392 nm) red-shifts substantially (ca. 70 nm) upon protonation. Spectral analysis revealed the reaction proceeds via a stepwise electron transfer-proton transfer process, and modeling of the kinetics traces monitoring the ferrocenium and quinolinium signals provided rate constants for elementary proton and electron transfer steps. As the pKa values of the conjugate acids of the 2,4-R-7-(dimethylamino)quinoline derivatives employed were readily tuned by varying the substituents at the 2- and 4-positions of the quinoline backbone, the driving force for proton transfer was systematically varied. Proton transfer rate constants (kPT,2 = (1.5-7.5) × 10(8) M(-1) s(-1), kPT,4 = (0.55-3.0) × 10(7) M(-1) s(-1)) were found to correlate with the pKa of the conjugate acid of the proton acceptor, in agreement with anticipated free energy relationships for proton transfer processes in PCET reactions.

Discovery of Dark pH-Dependent H(+) Migration in a [NiFe]-Hydrogenase and Its Mechanistic Relevance: Mobilizing the Hydrido Ligand of the Ni-C Intermediate.

Despite extensive studies on [NiFe]-hydrogenases, the mechanism by which these enzymes produce and activate H2 so efficiently remains unclear. A well-known EPR-active state produced under H2 and known as Ni-C is assigned as a NiIII–FeII species with a hydrido ligand in the bridging position between the two metals. It has long been known that low-temperature photolysis of Ni-C yields distinctive EPR-active states, collectively termed Ni-L, that are attributed to migration of the bridging-H species as a proton; however, Ni-L has mainly been regarded as an artifact with no mechanistic relevance. It is now demonstrated, based on EPR and infrared spectroscopic studies, that the Ni-C to Ni-L interconversion in Hydrogenase-1 (Hyd-1) from Escherichia coli is a pH-dependent process that proceeds readily in the dark—proton migration from Ni-C being favored as the pH is increased. The persistence of Ni-L in Hyd-1 must relate to unassigned differences in proton affinities of metal and adjacent amino acid sites, although the unusually high reduction potentials of the adjacent Fe–S centers in this O2-tolerant hydrogenase might also be a contributory factor, impeding elementary electron transfer off the [NiFe] site after proton departure. The results provide compelling evidence that Ni-L is a true, albeit elusive, catalytic intermediate of [NiFe]-hydrogenases.

Electron and Hydrogen Atom Transfers in the Hydride Carrier Protein EmoB.

In this article, we investigate the mechanism of hydride transfer taking place within the EmoB protein of the Mesorhizobium species. The reaction involves the net transfer of one proton and two electrons from a reduced flavin mononucleotide (FMN) cofactor, which is anchored in the protein scaffold, to a diffusible oxidized FMN cofactor, both being held together by π-stacking interactions. To analyze the formal hydride transfer in terms of more elementary steps, electron transfer (ET), and hydrogen atom transfers (HAT), we employ a combination of classical molecular dynamics simulations and hybrid constrained Density Functional Theory/Molecular Mechanics (cDFT/MM) energy calculations to build the free energy profiles, for the ET before and after HAT occurs between the flavins. The main outcomes of our study are first to highlight the role of the protein in stabilizing the π-stacked FMN dimer and second to reveal the coupling between the ET and HAT. Before HAT has taken place, ET is unfavorable by 8 kcal/mol and become favorable by 8 kcal/mol after HAT. Our simulations show that such a coupling is not present for the analogous process in water (ET is almost athermal). This suggests a functional role for the protein matrix to ensure EmoB a role of hydride carrier in the Mesorhizobium species.

ChemInform Abstract: Elementary Electron Transfer Reactions: From Basic Concepts to Recent Computational Advances

AbstractReview: 118 refs.

Dynamic Determination of Active-Site Reactivity in Semiquinone Photolyase by the Cofactor Photoreduction

Photolyase contains a flavin cofactor in a fully reduced form as its functional state to repair ultraviolet-damaged DNA upon blue light absorption. However, after purification, the cofactor exists in its oxidized or neutral semiquinone state. Such oxidization eliminates the repair function, but it can be reverted by photoreduction, a photoinduced process with a series of electron-transfer (ET) reactions. With femtosecond absorption spectroscopy and site-directed mutagenesis, we completely recharacterized such photoreduction dynamics in the semiquinone state. Comparing with all previous studies, we identified a new intramolecular ET pathway, determined stretched ET behaviors, refined all ET time scales, and finally evaluated the driving forces and reorganization energies for eight elementary ET reactions. Combined with the oxidized-state photoreduction dynamics, we elucidated the different active-site properties of the reduction ability and structural flexibility in the oxidized and semiquinone states, leading to the dramatically different ET dynamics and photoreduction efficiency in the two states.

Determining complete electron flow in the cofactor photoreduction of oxidized photolyase

The flavin cofactor in photoenzyme photolyase and photoreceptor cryptochrome may exist in an oxidized state and should be converted into reduced state(s) for biological functions. Such redox changes can be efficiently achieved by photoinduced electron transfer (ET) through a series of aromatic residues in the enzyme. Here, we report our complete characterization of photoreduction dynamics of photolyase with femtosecond resolution. With various site-directed mutations, we identified all possible electron donors in the enzyme and determined their ET timescales. The excited cofactor behaves as an electron sink to draw electron flow from a series of encircling aromatic molecules in three distinct layers from the active site in the center to the protein surface. The dominant electron flow follows the conserved tryptophan triad in a hopping pathway across the layers with multiple tunneling steps. These ET dynamics occur ultrafast in less than 150 ps and are strongly coupled with local protein and solvent relaxations. The reverse electron flow from the flavin is slow and in the nanosecond range to ensure high reduction efficiency. With 12 experimentally determined elementary ET steps and 6 ET reaction pairs, the enzyme exhibits a distinct reduction-potential gradient along the same aromatic residues with favorable reorganization energies to drive a highly unidirectional electron flow toward the active-site center from the protein surface.

Elementary electron transfer reactions: from basic concepts to recent computational advances

AbstractThe basic chemicophysical concepts and the most recent developments in the dynamics of the elementary electron transfer reactions are reviewed, posing particular attention to discrete state approaches, which combine use of a few experimental data with reliable ab initio calculations of the equilibrium nuclear configurations and normal coordinates of vibration of the redox partners. WIREs Comput Mol Sci 2013, 3:542–559. doi: 10.1002/wcms.1147This article is categorized under: Structure and Mechanism > Molecular Structures

Gel-Phase Microdomains and Lipid Rafts in Monolayers Affect the Redox Properties of Ubiquinone-10

The redox properties of ubiquinone-10 (UQ) were examined in monolayers of mixtures of dioleoylphosphatidylcholine, palmitoylsphingomyelin, and cholesterol of different compositions, self-assembled on a mercury electrode, over the pH range from 7.5 to 9.5. A detailed analysis of the cyclic voltammograms of UQ in the above lipid environments points to a mechanism consisting of an elementary electron transfer step followed by two protonation (or deprotonation) steps in quasiequilibrium and by a further electron transfer step. In a lipid environment of solid-ordered (so) microdomains in a liquid-disordered (ld) matrix, electron transport across the lipid monolayer takes place in the ld phase. In a pure so phase, UQ tends to segregate into UQ-rich pools, exhibiting reversible electron transfer steps. In a lipid environment consisting of liquid-ordered (lo) microdomains (lipid rafts) in an ld matrix, UQ molecules tend to localize along the edge of the lipid rafts. However, in a lipid environment consisting exclusively of lo and so microdomains, UQ molecules tend to segregate into UQ-rich pools. In all lipid environments, electron transport by UQ occurs with the quinone moiety localized on the solution side with respect to the ester linkages of the dioleoylphosphatidylcholine molecules.

The temperature dependence of radiationless transition rates from ab initio computations

The calculation of radiationless transition rates and of their temperature dependence from first principles is addressed by combining reliable electronic computations of the normal modes of the two electronic states with Kubo's generating function approach for the evaluation of the Franck-Condon weighted density of states. The whole sets of normal modes of the involved cofactors have been employed, taking into account the effects of nuclear equilibrium position displacements, of vibrational frequency changes, and of mixing of the normal modes. Application to the case of the elementary electron transfer step between bacteriopheophytin and ubiquinone cofactors of bacterial photosynthetic reaction centers yields a temperature dependence of the electron transfer rates in very good agreement with the experimental data.

ChemInform Abstract: Photosynthetic Model Systems

This review highlights recent studies of synthetic, covalently linked multicomponent molecular devices which mimic aspects of photosynthetic electron transfer. After an introduction to the topic, some of the salient features of natural bacterial photosynthetic reaction centers are described. Elementary electron transfer theory is briefly discussed in order to provide a framework for the discussion which follows. Early work with covalently linked photosynthetic models is then mentioned, with references to recent reviews. The bulk of the discussion concerns current progress with various triad (three-part) molecules. Finally, some even more complex multicomponent molecules are examined. The discussion will endeavor to point out aspects of photoinitiated electron transfer which are unique to the multicomponent species, and some of the considerations important to the design, synthesis and photochemical study of such molecules.

Real-time electron transfer in respiratory complex I

Electron transfer in complex I from Escherichia coli was investigated by an ultrafast freeze-quench approach. The reaction of complex I with NADH was stopped in the time domain from 90 mus to 8 ms and analyzed by electron paramagnetic resonance (EPR) spectroscopy at low temperatures. The data show that after binding of the first molecule of NADH, two electrons move via the FMN cofactor to the iron-sulfur (Fe/S) centers N1a and N2 with an apparent time constant of approximately 90 mus, implying that these two centers should have the highest redox potential in the enzyme. The rate of reduction of center N2 (the last center in the electron transfer sequence) is close to that predicted by electron transfer theory, which argues for the absence of coupled proton transfer or conformational changes during electron transfer from FMN to N2. After fast reduction of N1a and N2, we observe a slow, approximately 1-ms component of reduction of other Fe/S clusters. Because all elementary electron transfer rates between clusters are several orders of magnitude higher than this observed rate, we conclude that the millisecond component is limited by a single process corresponding to dissociation of the oxidized NAD(+) molecule from its binding site, where it prevents entry of the next NADH molecule. Despite the presence of approximately one ubiquinone per enzyme molecule, no transient semiquinone formation was observed, which has mechanistic implications, suggesting a high thermodynamic barrier for ubiquinone reduction to the semiquinone radical. Possible consequences of these findings for the proton translocation mechanism are discussed.

Kinetic Monte Carlo model of charge transport in hematite (α-Fe2O3)

The mobility of electrons injected into iron oxide minerals via abiotic and biotic electron transfer processes is one of the key factors that control the reductive dissolution of such minerals. Building upon our previous work on the computational modeling of elementary electron transfer reactions in iron oxide minerals using ab initio electronic structure calculations and parametrized molecular dynamics simulations, we have developed and implemented a kinetic Monte Carlo model of charge transport in hematite that integrates previous findings. The model aims to simulate the interplay between electron transfer processes for extended periods of time in lattices of increasing complexity. The electron transfer reactions considered here involve the II∕III valence interchange between nearest-neighbor iron atoms via a small polaron hopping mechanism. The temperature dependence and anisotropic behavior of the electrical conductivity as predicted by our model are in good agreement with experimental data on hematite single crystals. In addition, we characterize the effect of electron polaron concentration and that of a range of defects on the electron mobility. Interaction potentials between electron polarons and fixed defects (iron substitution by divalent, tetravalent, and isovalent ions and iron and oxygen vacancies) are determined from atomistic simulations, based on the same model used to derive the electron transfer parameters, and show little deviation from the Coulombic interaction energy. Integration of the interaction potentials in the kinetic Monte Carlo simulations allows the electron polaron diffusion coefficient and density and residence time around defect sites to be determined as a function of polaron concentration in the presence of repulsive and attractive defects. The decrease in diffusion coefficient with polaron concentration follows a logarithmic function up to the highest concentration considered, i.e., ∼2% of iron(III) sites, whereas the presence of repulsive defects has a linear effect on the electron polaron diffusion. Attractive defects are found to significantly affect electron polaron diffusion at low polaron to defect ratios due to trapping on nanosecond to microsecond time scales. This work indicates that electrons can diffuse away from the initial site of interfacial electron transfer at a rate that is consistent with measured electrical conductivities, but that the presence of certain kinds of defects will severely limit the mobility of donated electrons.

Molecular Mechanism of the Redox-dependent Interaction between NADH-dependent Ferredoxin Reductase and Rieske-type [2Fe-2S] Ferredoxin

The electron transfer system of the biphenyl dioxygenase BphA, which is derived from Acidovorax sp. (formally Pseudomonas sp.) strain KKS102, is composed of an FAD-containing NADH-ferredoxin reductase (BphA4) and a Rieske-type [2Fe-2S] ferredoxin (BphA3). Biochemical studies have suggested that the whole electron transfer process from NADH to BphA3 comprises three consecutive elementary electron-transfer reactions, in which BphA3 and BphA4 interact transiently in a redox-dependent manner. Initially, BphA4 receives two electrons from NADH. The reduced BphA4 then delivers one electron each to the [2Fe-2S] cluster of the two BphA3 molecules through redox-dependent transient interactions. The reduced BphA3 transports the electron to BphA1A2, a terminal oxygenase, to support the activation of dioxygen for biphenyl dihydroxylation. In order to elucidate the molecular mechanisms of the sequential reaction and the redox-dependent interaction between BphA3 and BphA4, we determined the crystal structures of the productive BphA3–BphA4 complex, and of free BphA3 and BphA4 in all the redox states occurring in the catalytic cycle. The crystal structures of these reaction intermediates demonstrated that each elementary electron transfer induces a series of redox-dependent conformational changes in BphA3 and BphA4, which regulate the interaction between them. In addition, the conformational changes induced by the preceding electron transfer seem to induce the next electron transfer. The interplay of electron transfer and induced conformational changes seems to be critical to the sequential electron-transfer reaction from NADH to BphA3.

Role of Intramolecular Vibrations in Long-Range Electron Transfer between Pheophytin and Ubiquinone in Bacterial Photosynthetic Reaction Centers

The dynamics of the elementary electron transfer step between pheophytin and primary ubiquinone in bacterial photosynthetic reaction centers is investigated by using a discrete state approach, including only the intramolecular normal modes of vibration of the two redox partners. The whole set of normal coordinates of the acceptor and donor groups have been employed in the computations of the Hamiltonian matrix, to reliably account both for shifts and mixing of the normal coordinates, and for changes in vibrational frequencies upon ET. It is shown that intramolecular modes provide not only a discrete set of states more strongly coupled to the initial state but also a quasicontinuum of weakly coupled states, which account for the spreading of the wave packet after ET. The computed transition probabilities are sufficiently high for asserting that electron transfer from bacteriopheophytin to the primary quinone can occur via tunneling solely promoted by intramolecular modes; the transition times, computed for different values of the electronic energy difference and coupling term, are of the same order of magnitude (10 2 ps) of the observed one.

Photoinduced Electron Transfer Dynamics in Aromatic Vinyl Polymers and Related Systems: Time‐Resolved Detection of Primary Events

AbstractFor Abstract see ChemInform Abstract in Full Text.

Recent advances in prethermal chemistry: real-time probing of elementary electron transfer reactions

In liquids and electrolyte solutions, elementary radical reactions may be investigated on the time scale of molecular motions by femtosecond visible-IR absorption spectroscopy. Some studies devoted to the microscopic understanding of sub-picosecond prehydration electron transfer between an aqueous halide ion (Cl-) and ionic acceptors (Cd++, H+) are presented. Within an electron hydration regime, the one-electron reduction of a metallic ion or a hydrated proton (hydronium or dihydronium ion) is totally achieved in less than 2 × 10-12 s at 294 K. The consequences of an early partition between reactive and nonreactive IR electronic pathways on the electron hydration process are discussed.

On electrodynamics of extended multiphonon transitions and nature of the J-band

The overall current picture of elementary electron transfer in condensed matter, derived from the Landau–Zener type theories, is revised to incorporate, among other things, an unusual resonance between the electron and environmental nuclear reorganization motion. Here, we construct a radically new theory of photoinduced electron transfer (beyond the Landau–Zener ideology), or, more precisely, electrodynamics of extended multiphonon transitions in the light of which the nature of the well-known narrow J-band is due to just this resonance, not to averaging an environmental statistical disorder by the quickly moving Frenkel exciton as is generally believed.

Electron-transfer approach to the nature of the optical lineshape for molecular J-aggregates

We have sketched the broad outlines of a new theory of elementary electron transfer in condensed matter in the light of which the nature of the well-known narrow optical J-band is due to an unusual resonance between the electron and environmental nuclear reorganization motion, not to averaging an environmental statistical disorder by the quickly moving Frenkel exciton as is generally believed.