DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electron transfer in nonpolar media

Journal Article · · Physical Chemistry Chemical Physics. PCCP
DOI: https://doi.org/10.1039/C9CP06166E · OSTI ID:1593352
ORCiD logo [1]
  1. Arizona State Univ., Tempe, AZ (United States). Dept. of Physics and School of Molecular Sciences; Arizona Sate University

The Marcus theory of electron transfer views fluctuating orientations of permanent dipoles as the nuclear mode bringing the donor and acceptor into the tunneling resonance. Electronic polarization of the solvent is excluded as the fast mode adiabatically following the electronic density. This view, valid for solids, does not apply to molecular liquids where molecular translations (density fluctuations) modulate the induction interaction of the donor-acceptor complex with the solvent. This mechanism of promoting radiation-less electronic transitions is considered here in the framework of the perturbation liquid-state theory. The reorganization energy of electron transfer in nonpolar solvents is nonzero and reaches the values of 0.1–0.3 eV for typical molecular sizes and solvents used in applications. The reorganization energy scales quadratically with the molecular polarizability of the solvent and decays as the inverse fifth power with the size of the donor and acceptor. The combination of the entropic character of the density fluctuations, driven by re-packing of molecular cores, with the short range of induction solute–solvent interactions leads to the violation of the fluctuation–dissipation theorem for the variance of the donor-acceptor energy gap. An explicit, approximately hyperbolic, dependence of the reorganization energy on temperature is predicted. It leads to a non-Arrhenius kinetic law for the rate constant of electron transfer in nonpolar liquid solvents.

Research Organization:
Arizona State Univ., Tempe, AZ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
SC0015641
OSTI ID:
1593352
Journal Information:
Physical Chemistry Chemical Physics. PCCP, Journal Name: Physical Chemistry Chemical Physics. PCCP Journal Issue: 19 Vol. 22; ISSN 1463-9076; ISSN PPCPFQ
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (68)

Energetics and Escape of Interchain‐Delocalized Ion Pairs in Nonpolar Media journal January 2019
Charge Transport in Organic Semiconductors journal July 2007
Energetics of Electron-Transfer Reactions in Soft Condensed Media journal July 2007
Volumen und Hydratationswärme der Ionen journal February 1920
Quantum versus classical electron transfer energy as reaction coordinate for the aqueous Ru2+/Ru3+ redox reaction journal December 2005
Identification of new biologically active synthetic molecules: comparative experimental and theoretical studies on the structure-antioxidant activity relationship of cyclic 1,3-ketoamides journal March 2021
Outer-sphere electron transfer in polar solvents journal July 1980
Reorganization energy of electron transfer in polar liquids. Dependence on reactant size, temperature and pressure journal August 1993
Activation entropy of electron transfer reactions journal May 2006
Rate versus Free Energy Change for Attaching Highly Mobile Electrons to Molecules in Nonpolar Liquids journal October 2019
Half Reactions with Multiple Redox States Do Not Follow the Standard Theory: A Computational Study of Electrochemistry of C 60 journal March 2018
Energetics of Electron-Transfer Reactions in Soft Condensed Media journal April 2007
Charge Transport in Organic Semiconductors journal April 2007
Discrete Fulleride Anions and Fullerenium Cations journal March 2000
Entropy of Attractive Forces and Molecular Nonsphericity in Real Liquids: A Measure of Structural Ordering journal February 1995
Dynamics of reactions in polar solvents. Semiclassical trajectory studies of electron-transfer and proton-transfer reactions journal June 1982
Estimation of effective diameters for molecular fluids journal February 1990
Some Thermodynamic Properties of the Hydrated Electron journal March 1966
Effect of Electronic Polarization on Charge-Transport Parameters in Molecular Organic Semiconductors
  • Valeev, Edward F.; Coropceanu, Veaceslav; da Silva Filho, Demetrio A.
  • Journal of the American Chemical Society, Vol. 128, Issue 30 https://doi.org/10.1021/ja061827h
journal August 2006
Conformationally Constrained Macrocyclic Diporphyrin−Fullerene Artificial Photosynthetic Reaction Center journal March 2011
Marcus Bell-Shaped Electron Transfer Kinetics Observed in an Arrhenius Plot journal July 2016
Electron Transfer in Aromatic Solvents:  The Importance of Quadrupolar Interactions journal October 2000
Electron Transfer by Excited Benzoquinone Anions: Slow Rates for Two-Electron Transitions journal August 2013
Calculation from First Principles of Intramolecular Golden-Rule Rate Constants for Photo-Induced Electron Transfer in Molecular Donor–Acceptor Systems journal October 2013
Pressure Tuning of Electron Attachment to Benzoquinones in Nonpolar Fluids: Continuous Adjustment of Free Energy Changes journal February 2014
Dipole Solvation in Nondipolar Solvents:  Experimental Studies of Reorganization Energies and Solvation Dynamics journal January 1996
Inhomogeneous Fluid Approach to Solvation Thermodynamics. 1. Theory journal April 1998
Solvent Reorganization Energy and Entropy in Hydrophobic Hydration journal May 2000
In and out of equilibrium journal January 2005
Intrinsic non-radiative voltage losses in fullerene-based organic solar cells journal April 2017
Exciton polarizability in semiconductor nanocrystals journal October 2006
Organic semiconductor crystals journal January 2018
Moment analysis of hydrated electron cluster spectra: Surface or internal states? journal September 2001
Calculations of nonlinear spectra of liquid Xe. I. Third-order Raman response journal March 2002
Solvent reorganization energy of electron-transfer reactions in polar solvents journal April 2004
Exact Solution of the Mean Spherical Model for Fluids of Hard Spheres with Permanent Electric Dipole Moments journal November 1971
Statistical mechanics of polar systems: Dielectric constant for dipolar fluids journal July 1974
The Franck‐Condon Principle and Its Application to Crystals journal November 1952
Electrostatic Free Energy and Other Properties of States Having Nonequilibrium Polarization. I journal May 1956
Equilibrium solvation in quadrupolar solvents journal July 2005
The reorganization energy of electron transfer in nonpolar solvents: Molecular level treatment of the solvent journal December 2005
Quadrupolar solvatochromism: 4-amino-phthalimide in toluene journal May 2006
Solution reaction path Hamiltonian for reactions in polar solvents. I. Formulation journal June 1988
Molecular model for aqueous ferrous–ferric electron transfer journal September 1988
Structure of liquid benzene and naphthalene studied by pulsed neutron total scattering journal September 1990
Optical and radiationless intramolecular electron transitions in nonpolar fluids: Relative effects of induction and dispersion interactions journal August 1995
Energetics of charge transfer reactions in solvents of dipolar and higher order multipolar character. I. Theory journal May 1996
Energetics of charge transfer reactions in solvents of dipolar and higher order multipolar character. II. Results journal May 1996
Calculation of Lennard‐Jones energies of molecular fluids journal June 1996
Dispersion solute-solvent coupling in electron transfer reactions. I. Effective potential journal April 1998
A perturbation theory for solvation thermodynamics: Dipolar–quadrupolar liquids journal August 1999
Vibrational energy relaxation of polyatomic solutes in simple liquids and supercritical fluids journal January 2000
Communication: Temperature derivative of the dielectric constant gives access to multipoint correlations in polar liquids journal January 2016
Free energy functionals for polarization fluctuations: Pekar factor revisited journal February 2017
Electrons in lattice fields journal July 1954
A molecular theory of electron transfer reactions in polar liquids journal July 1993
Charge separation/recombination reactions in non-polar fluids: a molecular description journal February 1995
The long wavelength limit of the liquid structure factor-a theory for the compressibility of liquid rare gases and metals journal June 1978
The fluctuation-dissipation theorem journal January 1966
Thinking outside the box: fluctuations and finite size effects journal March 2014
Violation of the fluctuation–dissipation theorem in glassy systems: basic notions and the numerical evidence journal May 2003
Chemical Dynamics in Condensed Phases book April 2006
Theory of Molecular Fluids I: Fundamentals book December 1984
Slow Electrons in a Polar Crystal journal February 1955
High Intrachain Hole Mobility on Molecular Wires of Ladder-Type Poly( p -Phenylenes) journal April 2006
Computer Simulations of Electron-Transfer Reactions in Solution and in Photosynthetic Reaction Centers journal October 1991
Thinking outside the box: fluctuations and finite size effects text January 2014
Equilibrium solvation in quadrupolar solvents text January 2005

Similar Records

Free energy functionals for polarization fluctuations: Pekar factor revisited
Journal Article · 2017 · Journal of Chemical Physics · OSTI ID:1340505

Effect of solvent polarization on the reorganization energy of electron transfer from molecular dynamics simulations
Journal Article · 2008 · Journal of Chemical Physics · OSTI ID:21254905

Rate versus Free Energy Change for Attaching Highly Mobile Electrons to Molecules in Nonpolar Liquids
Journal Article · 2019 · Journal of Physical Chemistry. B, Condensed Matter, Materials, Surfaces, Interfaces and Biophysical Chemistry · OSTI ID:1572366