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Electron transfer

Electron transfer (ET) is the process in which an electron moves from a donor atom, ion, or molecule to an acceptor atom, ion, or molecule, serving as the core mechanism underlying redox reactions without necessarily involving the formation or breaking of covalent bonds.^[1] This nonradiative relocation of charge is a fundamental elementary step in oxidation-reduction chemistry, enabling the conversion of chemical energy into electrical or mechanical forms.^[2] ET reactions occur in diverse environments, from homogeneous solutions to biological interfaces, and are characterized by their kinetics, which depend on factors such as the driving force, reorganization energy, and electronic coupling between donor and acceptor.^[3] The theoretical foundation for understanding ET rates was established by Rudolph A. Marcus in the 1950s and 1960s, culminating in his Nobel Prize in Chemistry in 1992 for developing a framework that predicts reaction rates based on classical and quantum mechanical principles.^[4] Marcus theory posits that the activation energy arises primarily from the reorganization of solvent molecules and intramolecular vibrations to accommodate the changed charge distribution post-transfer, leading to parabolic free energy relationships with distinct normal and inverted regions.^[3] This model has been validated across inner-sphere (bond-mediated) and outer-sphere (through-space) mechanisms, with experimental confirmation through techniques like ultrafast spectroscopy.^[1] ET processes are pivotal in natural and technological systems, powering biological energy transduction in photosynthesis—where electrons flow through protein complexes to generate ATP—and cellular respiration, as well as enabling applications in batteries, solar cells, and corrosion prevention.^[4] In synthetic chemistry, controlled ET facilitates catalysis and organic synthesis,^[5] while in materials science, it underpins molecular electronics and dye-sensitized photovoltaic devices with efficiencies tied to rapid charge separation.^[6] Ongoing research integrates quantum effects and proton-coupled variants to enhance energy conversion efficiencies in sustainable technologies.^[1]

Fundamentals

Definition and Importance

Electron transfer refers to the relocation of an electron from one chemical species, known as the donor, to another, the acceptor, which results in the oxidation of the donor and the reduction of the acceptor without any net displacement of atoms between the species.^[7] This process lies at the heart of redox reactions, where the transfer of electrons drives chemical transformations across diverse systems.^[8] The systematic conceptualization of electron transfer emerged in the 1950s through detailed studies of inorganic redox reactions, particularly in metal complexes.^[9] Pioneering experiments by Henry Taube elucidated mechanisms such as inner-sphere electron transfer, where a bridging ligand facilitates the process, earning him the Nobel Prize in Chemistry in 1983 for these foundational contributions. Electron transfer holds profound importance across multiple disciplines. In electrochemistry, it enables energy storage and conversion in batteries, where electrons shuttle between anode and cathode during charge-discharge cycles to power devices.^[10] In biology, it is essential for cellular energy production, notably in the mitochondrial electron transport chain, where approximately 80% of ATP yield from glucose oxidation in aerobic respiration—around 30 of 36 ATP molecules—arises from electron transfers coupled to proton gradients.^[11] In materials science, electron transfer is critical for photovoltaic devices like solar cells, facilitating charge separation upon light absorption to generate electricity.^[12] The thermodynamics of electron transfer are governed by redox potentials, which quantify the tendency of a species to gain or lose electrons. For instance, the standard reduction potential for the oxygen-water couple (O₂ + 4H⁺ + 4e⁻ → 2H₂O) is +1.23 V versus the standard hydrogen electrode, highlighting oxygen's role as a potent oxidant in many natural and engineered processes.^[13]

Basic Principles

Electron transfer (ET) is fundamentally a quantum mechanical process in which an electron tunnels from a donor orbital to an acceptor orbital, typically the highest occupied molecular orbital (HOMO) of the donor and the lowest unoccupied molecular orbital (LUMO) of the acceptor.^[14] This tunneling occurs without classical activation over a barrier, allowing ET over distances up to several nanometers in suitable media, with the rate depending exponentially on the donor-acceptor separation.^[15] The electronic coupling that facilitates this transfer requires sufficient spatial overlap between the donor and acceptor orbitals to enable the tunneling probability.^[16] A key aspect of ET is the role of nuclear reorganization governed by the Franck-Condon principle, which posits that the electron transfer is much faster than nuclear motion, leading to a vertical transition on the potential energy surface. Following the electronic jump, the nuclei must relax to the equilibrium geometry of the product state, incurring a reorganization energy λ that includes contributions from intramolecular vibrations and solvent polarization. Solvent effects are critical, as the dielectric screening modulates the electrostatic interactions between charged species, influencing both the driving force and the reorganization barrier.^[17] ET pathways can be classified as adiabatic, where strong electronic coupling allows the system to follow the lower potential energy surface, or non-adiabatic, where weak coupling results in probabilistic tunneling between diabatic states.^[18] The thermodynamics of ET are described by the standard free energy change, given by

\Delta G^\circ = -n F E^\circ

where n is the number of electrons transferred, F is the Faraday constant, and E^\circ is the standard electrode potential difference between donor and acceptor. The kinetics involve an activation barrier arising from the reorganization energy λ, which must be overcome for the nuclear coordinates to reach the transition state. In biological systems, such as photosynthetic reaction centers, these principles enable efficient energy transduction over long distances.^[19] ET reactions are distinguished as homonuclear self-exchange (e.g., between identical redox couples) or heteronuclear cross-reactions (between different couples). Self-exchange reactions, where ΔG° ≈ 0, serve as benchmarks for understanding reorganization without driving force contributions; for instance, the aqueous Fe³⁺/Fe²⁺ self-exchange has a rate constant of approximately 4 M⁻¹ s⁻¹ at 25°C, reflecting modest inner-sphere reorganization due to similar ligand fields.^[9]

Types of Electron Transfer

Inner-Sphere Electron Transfer

Inner-sphere electron transfer is a redox mechanism in which an electron moves between two metal centers connected by a bridging ligand, forming a covalent linkage in the activated complex. This process typically proceeds through three stages: the formation of a precursor complex where the bridge is established, the actual electron transfer across the bridge, and the dissociation of the successor complex. Unlike direct electron tunneling, the bridging ligand facilitates the transfer by providing an orbital pathway, often involving partial bond breaking or making during the reaction.^[9] A key characteristic of inner-sphere electron transfer is the involvement of bond-making and bond-breaking steps, which distinguish it from non-bridged pathways. These reactions are frequently rate-limited by the initial ligand substitution to form the bridged precursor, particularly when one reactant is labile. The bridging ligand can be halide, pseudohalide, or organic groups capable of coordinating both metals. Representative activation parameters, such as low enthalpies of activation (ΔH‡ ≈ 10 kcal mol⁻¹) and negative entropies of activation (ΔS‡ ≈ -25 cal mol⁻¹ K⁻¹), support an associative mechanism with restricted degrees of freedom in the transition state.^[20] The seminal example is the reduction of chloropentaamminecobalt(III) by hexaquachromium(II):

[\ce{(NH3)5CoCl}]^{2+} + \ce{Cr(H2O)6}^{2+} \rightarrow [\ce{(NH3)5Co(H2O)}]^{3+} + \ce{Cr(H2O)5Cl}^{2+}

Here, the chloride ligand bridges the Co(III) and Cr(II) centers, transferring from cobalt to chromium during the reaction. This system proceeds rapidly with a second-order rate constant of 6 × 10⁶ M⁻¹ s⁻¹ at 25 °C, following the rate law rate = k [[Co(III)]][[Cr(II)]].^[9] Experimental evidence for the bridged pathway came from isotopic labeling studies in the 1950s by Henry Taube, who used radioactive chloride (Cl*) and observed that the chloride in the chromium product originated from the cobalt complex rather than the solvent, confirming atom transfer via the bridge. These studies, along with comparisons to non-bridging ligands like ammonia (which yield much slower rates), established the inner-sphere mechanism.^[21] Discrimination between inner-sphere and outer-sphere mechanisms often relies on stereochemical probes; for instance, retention of configuration at the metal center in bridged transfers versus no stereochemical change in direct outer-sphere processes provides diagnostic evidence for ligand involvement.^[22]

Outer-Sphere Electron Transfer

Outer-sphere electron transfer involves the tunneling of an electron between two metal centers while their coordination spheres remain intact and unchanged, resulting in no net chemical transformation beyond the movement of the electron itself./V%3A__Reactivity_in_Organic_Biological_and_Inorganic_Chemistry_3/01%3A_Reduction_and_Oxidation_Reactions/1.09%3A_Outer_Sphere_Electron_Transfer) This process occurs without the formation or breaking of any bonds, distinguishing it as a purely electronic event mediated by overlap of molecular orbitals across the intervening space, often solvent molecules. The reactants approach each other diffusively, and the electron transfer happens at close but non-contact distances, typically on the order of 7–12 Å. The mechanism proceeds through a five-step sequence. First, the oxidant and reductant diffuse together to form an encounter complex, held by electrostatic or weak van der Waals interactions. Second, nuclear reorganization occurs, involving adjustments in bond lengths and angles within each coordination sphere, accompanied by solvent reorganization to accommodate the changing charge distribution. Third, the electron tunnels quantum mechanically from the donor to the acceptor orbital, facilitated by electronic coupling through the solvent barrier. Fourth, the successor complex relaxes as the nuclei and solvent adapt to the new charge states. Finally, the products dissociate and diffuse apart.^[23] These steps ensure that the activation barrier arises primarily from the reorganization energy required for the transition state. Representative examples include the self-exchange reaction between ferricyanide and ferrocyanide ions, [Fe(CN)₆]^3– + [Fe(CN)₆]^4– ⇌ [Fe(CN)₆]^4– + [Fe(CN)₆]^3–, which exhibits a second-order rate constant of approximately 10³ M^–1 s^–1 at 25 °C in aqueous solution. Another classic case is the self-exchange between permanganate and manganate ions, MnO₄^– + MnO₄^2– ⇌ MnO₄^2– + MnO₄^–, proceeding via outer-sphere transfer with a rate constant on the order of 10²–10³ M^–1 s^–1, as determined by NMR line-broadening methods. These reactions highlight the prevalence of outer-sphere mechanisms in symmetric redox couples where ligand substitution is unfavorable. The rate of outer-sphere electron transfer is strongly influenced by several factors. Distance plays a critical role, with the rate decaying exponentially as exp(–βr), where β ≈ 1.4 Å^–1 reflects the tunneling probability through solvent or vacuum-like barriers, limiting efficient transfer to separations below ~14 Å. Orientation effects arise from the need for favorable alignment of donor and acceptor orbitals to maximize electronic coupling, which can vary with molecular geometry and solvent dielectric properties. Experimental determination of these rates often employs stopped-flow spectroscopy to monitor rapid absorbance changes in the encounter complex formation and electron transfer steps, as demonstrated in studies of ruthenium ammine complexes. Rates can be predicted using Marcus theory, which relates the activation free energy to reorganization and driving force parameters.

Heterogeneous Electron Transfer

Heterogeneous electron transfer refers to the process of electron exchange occurring at the interface between two different phases, typically involving a species in solution and a solid surface such as a metal electrode or semiconductor.^[24] This type of transfer is fundamental in electrochemical systems where the electron must tunnel across the phase boundary, often influenced by the electronic structure of the solid and the solvation environment of the solution species.^[25] The mechanism of heterogeneous electron transfer is commonly described by the Butler-Volmer equation, which relates the current density to the electrode potential and accounts for both anodic and cathodic processes at the interface.^[26] In this framework, the overpotential (η), defined as the difference between the applied potential and the equilibrium potential, drives the reaction rate, while charge transfer resistance (R_ct) quantifies the kinetic barrier to electron exchange.^[27] For solution-side aspects, this process can connect to outer-sphere principles where minimal reorganization occurs in the redox species.^[26] Key concepts influencing heterogeneous electron transfer include the structure of the electric double layer at the interface, which modulates the local potential and affects the energy barrier for electron tunneling.^[28] Adsorption of reactants onto the surface often follows the Langmuir isotherm, assuming monolayer coverage without lateral interactions, which is critical for reactions involving surface-bound intermediates. Rate analysis frequently employs Tafel plots, derived from the high-overpotential limit of the Butler-Volmer equation, where the overpotential η is linearly related to the logarithm of the current density i:

\eta = a + b \log i

Here, a is a constant related to the exchange current density, and b (the Tafel slope) reflects the symmetry of the energy barrier, typically around 120 mV/decade for a single electron transfer with a transfer coefficient of 0.5.^[29] Representative examples illustrate these principles. In the hydrogen evolution reaction (HER) on platinum electrodes, heterogeneous electron transfer facilitates the reduction of protons to hydrogen gas, with Pt's low overpotential (near 0 V vs. reversible hydrogen electrode) arising from optimal hydrogen adsorption free energy and fast kinetics.^[30] Similarly, in dye-sensitized solar cells, electron injection from an excited dye molecule to the conduction band of a TiO₂ semiconductor electrode exemplifies photoinduced heterogeneous transfer, enabling efficient charge separation with rates exceeding 10^9 s^{-1} due to favorable band alignment.^[31] Experimental characterization of heterogeneous electron transfer relies on techniques like cyclic voltammetry (CV), which sweeps the electrode potential and measures the resulting current to determine the standard heterogeneous rate constant k⁰.^[32] In CV, the peak separation between anodic and cathodic waves increases with slower kinetics, allowing k⁰ to be extracted via methods such as Nicholson's working curve, providing quantitative insight into the transfer barrier.^[33]

Vectorial Electron Transfer

Vectorial electron transfer describes the unidirectional propagation of electrons across a series of redox-active centers in multi-center molecular systems, such as proteins or synthetic assemblies, propelled by electrochemical potential gradients or asymmetric spatial arrangements that minimize back-transfer.^[34] This process is essential in constrained environments like biological membranes, where it enables efficient energy conversion without diffusive loss.^[35] The mechanism predominantly involves superexchange tunneling, in which the electron virtually couples donor and acceptor sites through intervening bridge units—such as σ-bonds in peptides or π-conjugated systems in aromatic residues—without significant occupation of bridge states.^[36] The transfer rate decays exponentially with donor-acceptor distance r, following k \propto \exp(-\beta r), where the attenuation factor \beta ranges from approximately 0.6 to 1.4 Å⁻¹ depending on the bridge composition and medium polarity.^[35] For instance, β values near 1.1 Å⁻¹ are common in β-sheet protein motifs, reflecting moderate tunneling barriers through hydrogen-bonded networks.^[37] Prominent examples include the sequential electron hopping between [4Fe-4S] clusters in ferredoxins, where low reorganization energies (<0.5 eV) and weak electronic coupling facilitate vectorial flow over ~10 Å distances, as observed in Chromatium vinosum ferredoxin variants.^[38] In DNA, vectorial charge transfer often manifests as hole migration along the base stack, culminating in guanine radical formation at low-potential sites (e.g., GG steps), which supports long-range oxidative damage propagation or repair without significant distance attenuation up to 100 Å.^[39] Protein folding significantly influences pathway efficiency by precisely orienting redox centers and selecting optimal tunneling routes, such as through β-strands or aromatic amino acid chains, thereby tuning electronic coupling and reducing off-pathway leakage.^[35] Experimental characterization relies on time-resolved spectroscopy techniques, including femtosecond transient absorption, which capture initial transfer events on fs-ps timescales in systems like azurin or photosynthetic reaction centers.^[40]

Theoretical Frameworks

Marcus Theory

Marcus theory, developed by Rudolph A. Marcus during the 1950s and 1960s, offers a foundational semiclassical framework for predicting the rates of thermal electron transfer reactions in solution.^[41] Central to the theory is the representation of the potential energy surfaces for the reactant and product states as intersecting parabolas in a multidimensional nuclear coordinate space, capturing the harmonic approximation for vibrational modes and solvent polarization.^[41] This geometric model highlights how electron transfer occurs most efficiently at the crossing point of these surfaces, where the nuclear configurations minimize the energy barrier, and incorporates the Franck-Condon principle to account for the overlap of vibrational wavefunctions.^[42] Marcus received the 1992 Nobel Prize in Chemistry for this work, which has profoundly influenced fields ranging from inorganic chemistry to biochemistry. The rate constant for nonadiabatic electron transfer, k_\text{ET}, is expressed by the following semiclassical formula derived from Fermi's golden rule:

k_\text{ET} = \frac{2\pi}{\hbar} |V|^2 \frac{1}{\sqrt{4\pi \lambda k_B T}} \exp\left[ -\frac{(\lambda + \Delta G^\circ)^2}{4 \lambda k_B T} \right]

Here, V represents the electronic coupling matrix element between donor and acceptor orbitals, \lambda is the total reorganization energy encompassing inner-sphere (molecular vibrational) and outer-sphere (solvent) contributions, \Delta G^\circ is the standard free energy change of the reaction, k_B is Boltzmann's constant, T is the temperature, and \hbar is the reduced Planck's constant.^[42]^[43] This equation quantifies how the rate depends on the balance between the driving force -\Delta G^\circ and the energy required to reorganize the system to the transition state.^[43] A hallmark prediction of the theory is the parabolic relationship between the activation free energy and the reaction driving force, resulting in a normal region where rates increase with increasing exergonicity (when |\Delta G^\circ| < \lambda) and an inverted region where rates diminish for highly exergonic processes (when |\Delta G^\circ| > \lambda), due to the growing mismatch in nuclear coordinates between initial and final states.^[42] The theory also derives linear free energy relationships, known as the Marcus cross-relations, linking self-exchange rate constants (where \Delta G^\circ = 0) to those of cross-reactions, allowing estimation of unknown rates from measurable self-exchange data.^[43] Experimental validation of the inverted region came in 1984 through studies of intramolecular electron transfer between biphenyl and its radical anion in rigid organic glasses, where rates decreased markedly for driving forces exceeding 1 eV, confirming the theoretical prediction. In photosynthetic reaction centers, such as those in photosystem I, the inverted region manifests in charge recombination steps, where highly exergonic transfers exhibit slower kinetics, contributing to efficient forward charge separation by suppressing back reactions.^[44] Solvent effects play a crucial role in modulating \lambda, with polar solvents enhancing the outer-sphere component through greater dielectric relaxation costs, as quantified by the theory's continuum electrostatic model.^[41]^[42]

Quantum Mechanical Models

Quantum mechanical models provide a more refined description of electron transfer (ET) processes by accounting for quantum effects in both electronic and nuclear degrees of freedom, extending beyond semiclassical approximations. These models treat ET as a nonadiabatic transition between diabatic states, where the weak electronic coupling between donor and acceptor sites allows perturbation theory to be applied. A foundational approach employs Fermi's golden rule to compute the transition rate from an initial state \psi_i to a final state \psi_f, given by

k = \frac{2\pi}{\hbar} |\langle \psi_f | \hat{H}' | \psi_i \rangle|^2 \rho(E),

where \hat{H}' is the perturbation Hamiltonian representing the electronic coupling, and \rho(E) is the density of final states at energy E. This expression, originally derived for general quantum transitions, was adapted to ET in polar media by Levich and Dogonadze, who incorporated solvent fluctuations as a bath influencing the Franck-Condon factors.^[42]^[45] Vibronic coupling models address the interaction between electronic states and nuclear vibrations, treating the latter as a collection of harmonic oscillators coupled to the electronic subsystem. In the nonadiabatic limit, where electronic coupling is small compared to energy gaps, the spin-boson model maps ET onto a two-level system (donor-acceptor states) interacting with a bosonic bath of vibrational modes, enabling exact solutions via path integrals or numerical methods like the hierarchical equations of motion. This framework captures dissipation and dephasing effects, particularly in condensed-phase ET, where nuclear tunneling and coherence play key roles.^[46]^[47] Extensions of these models incorporate quantum vibrations more explicitly, as in the Marcus-Levich-Jortner (MLJ) theory, which refines the classical reorganization energy by treating high-frequency intramolecular modes quantum mechanically while retaining classical treatment for low-frequency solvent modes. The resulting rate expression includes Franck-Condon overlaps for quantized vibrations, explaining temperature-dependent activation energies observed in biological ET, such as in protein matrices. In photoinduced ET, conical intersections—points of degeneracy between excited and ground electronic states—facilitate ultrafast nonradiative decay and population transfer, often competing with charge separation in molecular systems. These intersections enhance ET efficiency by allowing adiabatic passage without energy loss to vibrations, as evidenced in spectroscopic studies of dye molecules.^[48]^[49]^[50] Modern computational methods leverage density functional theory (DFT) and time-dependent DFT (TD-DFT) to evaluate electronic couplings V in the golden rule, particularly for complex systems like nanomaterials. For instance, periodic DFT implementations compute transfer integrals in extended solids, revealing how lattice distortions modulate ET in organic semiconductors. Recent studies on hybrid nanotube assemblies using TD-DFT have quantified photoinduced ET rates, showing couplings up to 0.1 eV that enable efficient charge migration over nanoscale distances. Similarly, DFT analyses of self-assembled nanostructures in the 2020s highlight how surface ligands tune vibronic overlaps, impacting ET in photocatalytic nanomaterials.^[51]^[52]^[53]

Applications

Biological Systems

In biological systems, electron transfer plays a central role in energy production, particularly through the electron transport chain (ETC) in mitochondria during cellular respiration. The ETC facilitates the transfer of electrons from NADH (and FADH₂) to molecular oxygen (O₂), generating a proton gradient across the inner mitochondrial membrane that drives ATP synthesis. This process involves four main protein complexes: Complex I (NADH dehydrogenase) accepts electrons from NADH and transfers them to ubiquinone while pumping protons into the intermembrane space; Complex II (succinate dehydrogenase) feeds electrons from FADH₂ to ubiquinone without proton pumping; Complex III (cytochrome bc₁ complex) transfers electrons from ubiquinol to cytochrome c and pumps additional protons; and Complex IV (cytochrome c oxidase) reduces O₂ to water, completing the chain and pumping more protons. The resulting proton motive force powers ATP synthase (Complex V) to produce ATP via oxidative phosphorylation, yielding approximately 30-32 ATP molecules per glucose molecule oxidized.^[54] A parallel process occurs in photosynthesis within chloroplasts, where light-driven electron transfer follows the Z-scheme, enabling the conversion of solar energy into chemical energy. In this pathway, photosystem II (PSII) absorbs light to oxidize water, releasing O₂ and providing electrons that are transferred through the cytochrome b₆f complex to plastocyanin, then to photosystem I (PSI). PSI, upon further light absorption, reduces NADP⁺ to NADPH via ferredoxin. This linear electron flow from H₂O to NADP⁺ establishes a proton gradient across the thylakoid membrane, which ATP synthase uses to generate ATP. The quantum efficiency of this electron transfer process in PSII exceeds 30%, reflecting the highly optimized light-harvesting and charge separation mechanisms evolved in photosynthetic organisms.^[55]^[56] Protein-mediated electron transfer in these systems often relies on quantum mechanical tunneling, allowing electrons to move between redox centers over distances up to 14 Å without direct orbital overlap, as exemplified in cytochrome c, which shuttles electrons between Complexes III and IV in the ETC. Evolutionary adaptations have fine-tuned such transfers; for instance, blue copper proteins like plastocyanin in photosynthesis exhibit a distorted trigonal copper coordination that enables rapid electron transfer rates (up to 10⁶ s⁻¹) over similar distances, optimizing the Z-scheme efficiency while minimizing side reactions. These vectorial transfers are spatially directed along protein chains to ensure unidirectional flow and regulatory control.^[57]^[58] Dysfunctions in biological electron transfer pathways contribute to various diseases, notably through mitochondrial ETC impairments. Defects in Complex I activity, often due to oxidative damage or genetic mutations, reduce ATP production and increase reactive oxygen species (ROS), linking to neurodegenerative disorders such as Parkinson's disease, where substantia nigra neurons show significantly reduced Complex I activity compared to controls.^[59] Recent studies on extremophiles, such as thermophilic bacteria, reveal resilient electron transfer mechanisms in rubredoxins—small iron-sulfur proteins—that maintain efficiency at temperatures above 80°C via temperature-dependent iron fluctuations, offering insights into stabilizing ET under stress conditions relevant to disease models.^[60]

Technological and Photoinduced Processes

Electron transfer processes are fundamental to electrochemical technologies, including fuel cells and rechargeable batteries, where they enable efficient energy storage and conversion at electrode interfaces. In proton exchange membrane fuel cells, proton-coupled electron transfer at the anode and cathode facilitates the oxidation of hydrogen and reduction of oxygen, respectively, achieving overall efficiencies up to 60% under optimal conditions. Similarly, in lithium-ion batteries, heterogeneous electron transfer between lithium ions and electrode materials, such as graphite anodes and layered oxide cathodes, supports rapid charge-discharge cycles with round-trip efficiencies exceeding 90%, minimizing energy losses during intercalation and deintercalation. These processes highlight the role of optimized electrode surfaces in enhancing charge transport kinetics and device performance. Heterogeneous electron transfer also plays a key role in corrosion prevention strategies, where protective coatings on metals modulate electron flow to inhibit anodic dissolution. For instance, thermal-sprayed anti-corrosion coatings, such as those based on zinc or aluminum, alter the heterogeneous electron transfer rates at the metal-electrolyte interface, reducing corrosion currents by orders of magnitude and extending material lifespan in harsh environments. Photoinduced electron transfer is central to light-harvesting devices like dye-sensitized solar cells, first demonstrated by O'Regan and Grätzel in 1991 using ruthenium-based dyes adsorbed on nanocrystalline TiO₂ films. In these Grätzel cells, photoexcitation of the dye leads to ultrafast electron injection into the TiO₂ conduction band, followed by regeneration via a redox electrolyte, enabling power conversion efficiencies approaching 15% in laboratory settings as of 2025. The mechanism relies on the energetic alignment between the dye's excited state and the semiconductor's band edge, achieving injection yields near 100% within picoseconds to minimize recombination losses. Emerging photoinduced systems leverage electron transfer in quantum dot solar cells, where size-tunable quantum dots serve as sensitizers, promoting efficient charge separation at quantum dot-metal oxide interfaces through hot-electron injection or multiple exciton generation. Organic photovoltaics, meanwhile, exploit charge-transfer states at donor-acceptor heterojunctions, such as polymer-fullerene blends, to dissociate excitons and generate free carriers, with device efficiencies surpassing 18% in recent non-fullerene acceptor designs. In molecular electronics, superexchange-mediated electron transfer through conjugated molecular wires, like oligophenylenevinylene chains bridged between electrodes, enables coherent tunneling over distances up to several nanometers, supporting applications in single-molecule switches and sensors. Recent advances in 2025 have pushed perovskite solar cells to certified efficiencies over 27% by engineering electron transport layers and passivation strategies that accelerate interfacial charge extraction while suppressing recombination. Computational design approaches have similarly accelerated the development of electron transfer catalysts for CO₂ reduction, identifying metal-organic frameworks and single-atom catalysts that enhance selectivity toward C₂ products like ethylene, with faradaic efficiencies exceeding 70% at low overpotentials.

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Mar 6, 2014 · This review discusses photoinduced electron transfer using superexchange, the role of molecular bridges, and differences between thermal and ...
[34]
Long-range electron transfer - PNAS
Solid line indicates theoretical distance dependence for a single-step, ergoneutral (ΔGRP = 0) tunneling process (β = 1.1 Å-1).
[35]
Superexchange Coupling and Electron Transfer in Homogeneous ...
The superexchange coupling (VS) between two distant redox centers in large three-dimensional disordered media is studied by considering an electron-transfer ...
[36]
Distance dependence of electron-transfer reactions in organized ...
Distance dependence of electron-transfer reactions in organized systems: the role of superexchange and non-Condon effects in photosynthetic reaction centers.
[37]
Intramolecular electron transfer in [4Fe-4S] proteins - PubMed
This set of parameters, determined for the first time in an iron-sulfur protein, may help to explain how efficient vectorial electron transfer occurs with a ...
[38]
Biochemistry and Theory of Proton-Coupled Electron Transfer
Apr 1, 2014 · Studies of Trp oxidation in proteins may have particular relevance for guanine oxidation in DNA, where long-distance radical hopping along ...
[39]
Electron-Transfer Acceleration Investigated by Time Resolved ...
ET can be accelerated by enhancing the electronic interaction and by vibrational excitation of the reacting system and its medium.
[40]
On the Theory of Oxidation‐Reduction Reactions Involving Electron ...
A quantitative theory of the rates of oxidation‐reduction reactions involving electron transfer in solution is presented.
[41]
[PDF] Rudolph A. Marcus - Nobel Lecture
Electron transfer theory. Treatment. In the initial paper (1956) I formulated the above picture of the mechanism of electron transfer and, to make the ...
[42]
On the Theory of Electron‐Transfer Reactions. VI. Unified Treatment ...
A unified theory of homogeneous and electrochemical electron‐transfer rates is developed using statistical mechanics.
[43]
Inverted-region electron transfer as a mechanism for enhancing ...
Aug 16, 2017 · Inverted-region electron transfer is widely suggested to be an important mechanism contributing to photosynthetic efficiency.Missing: original | Show results with:original
[44]
Golden rule kinetics of transfer reactions in condensed phase
Dec 16, 2013 · A. Golden rule. The formulation of the Fermi golden rule that we invoke below for the rate computation is expressed in terms of distributions ...
[45]
Path‐integral treatment of multi‐mode vibronic coupling. II ...
A path‐integral approach to real‐time quantum dynamics is presented which is suitable to treat the dynamics of vibronic coupling or spin boson models.
[46]
[PDF] Electron Transfer in Solution - DSpace@MIT
We examine the dynamics of spin-boson models to fourth-order in time-dependent perturba- tion theory in the diabatic coupling. In order to prevent divergences, ...
[47]
Temperature dependent activation energy for electron transfer ...
Jun 15, 1976 · This paper considers electron transfer between biological molecules in terms of a nonadiabatic multiphonon nonradiative decay process in a dense medium.Missing: vibrations | Show results with:vibrations
[48]
Role of Conical Intersections in Molecular Spectroscopy and ...
May 5, 2012 · This review describes how conical intersections affect measured molecular spectra and simple photofragmentation processes.
[49]
Signatures of a Conical Intersection in Two-Dimensional Spectra of ...
Aug 26, 2025 · A deeper understanding of nonradiative decay channels is essential, as rapid deactivation pathways can compete with electron injection into the ...
[50]
Electron transfer in extended systems: characterization by periodic ...
We describe a new computer implementation of electron transfer (ET) theory in extended systems treated by periodic density functional theory (DFT), ...Missing: TD- nanomaterials
[51]
Photoinduced dynamics during electronic transfer from narrow to ...
May 30, 2024 · Here, we show the occurrence of an electron transfer process in one-dimensional layer-stacking of carbon nanotubes (CNTs) and boron nitride nanotubes (BNNTs).
[52]
A combined experimental and computational study of electron ...
Jun 1, 2025 · DFT/TD-DFT and experiment defined structure-property relationships governing self-assembly and electron transfer. Abstract. A novel ...<|control11|><|separator|>
[53]
Mitochondrial electron transport chain: Oxidative phosphorylation ...
In this review, we will provide an overview of the function of the ETC, focusing on oxidative phosphorylation and its relationship to ROS production. Further, ...
[54]
Solar energy conversion by photosystem II: principles and structures
Feb 24, 2023 · 1), the linear electron transfer chain of photosynthesis, known as Z-scheme (reviewed in Govindjee et al. 2017), bridges a large energy gap and ...
[55]
Molecular dynamics of photosynthetic electron flow in a ...
Dec 15, 2024 · This system absorbs sunlight with a quantum efficiency of over 30% and splits water into oxygen, protons, and electrons. These protons and ...
[56]
selection and variance in electron tunnelling proteins including ...
The effect of selection on distance is clear and dominant. The distance ranging from van der Waals contact to 14 Å, which accommodates 95% of distances ...
[57]
Plastocyanin: Structure and function | Photosynthesis Research
Plastocyanin is a 10 kD blue copper protein which is located in the lumen of the thylakoid where it functions as a mobileelectron carrier shuttling electrons ...
[58]
Mitochondrial dysfunction in Parkinson's disease
Nov 11, 2023 · Mitochondrial dysfunction is strongly implicated in the etiology of idiopathic and genetic Parkinson's disease (PD).
[59]
Temperature-dependent iron motion in extremophile rubredoxins
May 28, 2024 · Rubredoxins are electron transfer proteins, and they play important roles in photosystem II assembly, as redox partners of alkane hydroxylases ...