skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Impact of Temperature and Non-Gaussian Statistics on Electron Transfer in Donor–Bridge–Acceptor Molecules

Journal Article · · Journal of Physical Chemistry. B
 [1];  [2]; ORCiD logo [3]
  1. School of Molecular Sciences, Arizona State University, P.O. Box 871604, Tempe, Arizona 85287-1604, United States
  2. Chemistry Department, Brookhaven National Laboratory, Box 5000, Upton, New York 11973-5000, United States
  3. School of Molecular Sciences, Arizona State University, P.O. Box 871604, Tempe, Arizona 85287-1604, United States, Department of Physics, Arizona State University, P.O. Box 871504, Tempe, Arizona 85287-1504, United States

A combination of experimental data and theoretical analysis provides evidence of a bell-shaped kinetics of electron transfer in the Arrhenius coordinates ln k vs 1/T. This kinetic law is a temperature analogue of the familiar Marcus bell-shaped dependence based on ln k vs the reaction free energy. Our results were obtained for reactions of intramolecular charge shift between the donor and acceptor separated by a rigid spacer studied experimentally by Miller and co-workers. The non-Arrhenius kinetic law is a direct consequence of the solvent reorganization energy and reaction driving force changing approximately as hyperbolic functions with temperature. Furthermore, the reorganization energy decreases and the driving force increases when temperature is increased. The point of equality between them marks the maximum of the activationless reaction rate. In reaching the consistency between the kinetic and thermodynamic experimental data requires the non-Gaussian statistics of the donor–acceptor energy gap described by the Q-model of electron transfer. The theoretical formalism combines the vibrational envelope of quantum vibronic transitions with the Q-model describing the classical component of the Franck–Condon factor and a microscopic solvation model of the solvent reorganization energy and the reaction free energy.

Research Organization:
Arizona State Univ., Tempe, AZ (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
Grant/Contract Number:
SC0015641; SC00112704
OSTI ID:
1349132
Alternate ID(s):
OSTI ID: 1345668; OSTI ID: 1349562
Report Number(s):
BNL-113671-2017-JA
Journal Information:
Journal of Physical Chemistry. B, Journal Name: Journal of Physical Chemistry. B Vol. 121 Journal Issue: 12; ISSN 1520-6106
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (70)

Comment - "the torsional frequency of biphenyl molecule" journal June 1988
Outer-sphere electron transfer in polar solvents journal July 1980
On the Theory of Oxidation‐Reduction Reactions Involving Electron Transfer. I journal May 1956
Quantum versus classical electron transfer energy as reaction coordinate for the aqueous Ru2+/Ru3+ redox reaction journal December 2005
MD Study of Stokes Shifts in Ionic Liquids: Temperature Dependence journal May 2016
Long-Lived Charge Separation and Applications in Artificial Photosynthesis journal April 2014
Metal—lingad and metal—metal coupling elements journal August 1994
Molecular model for aqueous ferrous–ferric electron transfer journal September 1988
Energetics of charge transfer reactions in solvents of dipolar and higher order multipolar character. II. Results journal May 1996
Pressure Tuning of Electron Attachment to Benzoquinones in Nonpolar Fluids: Continuous Adjustment of Free Energy Changes journal February 2014
Radiative and nonradiative electron transfer in contact radical-ion pairs journal October 1993
Understanding the Optical Band Shape:  Coumarin-153 Steady-State Spectroscopy journal September 2001
Photoinduced Electron Transfer in 2- tert -Butyl-3-(Anthracen-9-yl)-2,3-Diazabicyclo[2.2.2]octane journal May 2006
A computer simulation study of the temperature dependence of the hydrophobic hydration journal November 1993
Stationary points in the temperature dependence of electron transfer rates journal August 1994
Multifunctional molecular carbon materials—from fullerenes to carbon nanotubes journal January 2006
Activation entropy of electron transfer reactions journal May 2006
Solvent polarity effects on intramolecular electron transfer. 1. Energetic aspects journal June 1989
Corrole−Fullerene Dyads: Formation of Long-Lived Charge-Separated States in Nonpolar Solvents journal October 2008
Solvent Reorganization Entropy of Electron Transfer in Polar Solvents journal July 2006
Macroscopic models of aqueous solutions: biological and chemical applications journal February 1993
Dipole Solvation in Nondipolar Solvents:  Experimental Studies of Reorganization Energies and Solvation Dynamics journal January 1996
Fluctuations and Irreversible Processes journal September 1953
An Extremely Small Reorganization Energy of Electron Transfer in Porphyrin−Fullerene Dyad journal March 2001
The Theory of Electron Transfer Reactions:  What May Be Missing? journal June 2003
Molecular-wire behaviour in p -phenylenevinylene oligomers journal November 1998
Torsional Low-Frequency Reorganization Energy of Biphenyl Anion in Electron Transfer Reactions journal May 1995
Molecular basis for the Born model of ion solvation journal May 1990
Unusual activation parameters in the oxidation of hexaaquairon(2+) ion by polypyridine complexes of iron(III). Evidence for multiple paths for outer-sphere electron transfer journal May 1974
Constrained Density Functional Theory journal November 2011
Excess Dynamic Stokes Shift of Molecular Probes in Solution journal June 2013
The fluctuation-dissipation theorem journal January 1966
Correlating temperature dependence to free-energy dependence of intramolecular long-range electron transfers journal November 1989
Contemporary Issues in Electron Transfer Research journal January 1996
Solar Fuels via Artificial Photosynthesis journal December 2009
Kinetics of the oxidation of hexaaquoiron(2+) by polypyridine complexes of ruthenium(III). Negative enthalpies of activation journal May 1973
Modulating Charge Separation and Charge Recombination Dynamics in Porphyrin−Fullerene Linked Dyads and Triads:  Marcus-Normal versus Inverted Region journal March 2001
Long-distance electron transfer through rodlike molecules with cubyl spacers journal December 1993
Analysis of Charge-Transfer Absorption and Emission Spectra on an Absolute Scale:  Evaluation of Free Energies, Matrix Elements, and Reorganization Energies journal September 2005
Optical transitions of symmetrical mixed-valence systems in the Class II–III transition regimeElectronic supplementary information (ESI) is available: derivation of eqn. (39c), table summarizing the relationships between band maxima and band widths predicted by the two-state model and table of spectral properties of mixed-valence ruthenium(II)/(III) bridged by pyrazine and dicyanamide. See http://www.rsc.org/suppdata/cs/b0/b008034i/ journal April 2002
Does Marcus-Hush theory really work? The solvent dependence of intervalence charge-transfer energetics in pentaamineruthenium(II)-4,4'-bipyridine)-pentaamineruthenium(III)]5+ in the limit of infinite dilution journal April 1993
Estimation of the solvent reorganization energy and the absolute energy of solvation of charge-transfer states from their emission spectra journal January 2010
Intramolecular Long-Distance Electron Transfer in Organic Molecules journal April 1988
Temperature Dependence of the Outer-Sphere Reorganization Energy journal September 1999
Dynamics of reactions in polar solvents. Semiclassical trajectory studies of electron-transfer and proton-transfer reactions journal June 1982
On the Theory of Electron‐Transfer Reactions. VI. Unified Treatment for Homogeneous and Electrode Reactions journal July 1965
A Spectroscopic Study of Solvent Reorganization Energy:  Dependence on Temperature, Charge Transfer Distance, and the Type of Solute−Solvent Interactions journal March 2000
A thermodynamic analysis of solvation journal August 1988
Weak Temperature Dependence of Electron Transfer Rates in Fixed-Distance Porphyrin-Quinone Model Systems journal October 1994
Nanometer scale carbon structures for charge-transfer systems and photovoltaic applications journal January 2007
Classical and modern methods in reaction rate theory journal June 1988
Intramolecular long-distance electron transfer in radical anions. The effects of free energy and solvent on the reaction rates journal May 1984
A Failure of Continuum Theory:  Temperature Dependence of the Solvent Reorganization Energy of Electron Transfer in Highly Polar Solvents journal October 1999
Design, Synthesis, and Photophysical Studies of a Porphyrin-Fullerene Dyad with Parachute Topology; Charge Recombination in the Marcus Inverted Region journal June 2004
Marcus Bell-Shaped Electron Transfer Kinetics Observed in an Arrhenius Plot journal July 2016
Solvent reorganization energy of electron-transfer reactions in polar solvents journal April 2004
Molecular Photovoltaics journal May 2000
Comparison of Reorganization Energies for Intra- and Intermolecular Electron Transfer journal July 2002
Free Energy of Ionic Hydration journal January 1996
Electron Transfer-from Isolated Molecules to Biomolecules book January 2007
Modeling the free energy surfaces of electron transfer in condensed phases journal January 2000
Bell-shaped temperature dependence in quenching of excited Ru(bpy)32+ by an organic acceptor journal April 1987
Non-Gaussian Lineshapes and Dynamics of Time-Resolved Linear and Nonlinear (Correlation) Spectra journal April 2014
Rapid grid-based construction of the molecular surface and the use of induced surface charge to calculate reaction field energies: Applications to the molecular systems and geometric objects journal November 2001
Redox entropy of plastocyanin: Developing a microscopic view of mesoscopic polar solvation journal April 2008
A molecular theory of electron transfer reactions in polar liquids journal July 1993
Electron-transfer reactions with unusual activation parameters. Treatment of reactions accompanied by large entropy decreases journal January 1975
Temperature-independent long-range electron transfer reactions in the Marcus inverted region journal June 1990
Conformational Gating of Long Distance Electron Transfer through Wire-like Bridges in Donor−Bridge−Acceptor Molecules journal August 2001
From hydrophobic to hydrophilic behaviour: A simulation study of solvation entropy and free energy of simple solutes journal August 1997