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Title: Free energy functionals for polarization fluctuations: Pekar factor revisited

Abstract

The separation of slow nuclear and fast electronic polarization in problems related to electron mobility in polarizable media was considered by Pekar 70 years ago. Within dielectric continuum models, this separation leads to the Pekar factor in the free energy of solvation by the nuclear degrees of freedom. The main qualitative prediction of Pekar’s perspective is a significant, by about a factor of two, drop of the nuclear solvation free energy compared to the total (electronic plus nuclear) free energy of solvation. The Pekar factor enters the solvent reorganization energy of electron transfer reactions and is a significant mechanistic parameter accounting for the solvent effect on electron transfer. Here, we study the separation of the fast and slow polarization modes in polar molecular liquids (polarizable dipolar liquids and polarizable water force fields) without relying on the continuum approximation. We derive the nonlocal free energy functional and use atomistic numerical simulations to obtain nonlocal, reciprocal space electronic and nuclear susceptibilities. A consistent transition to the continuum limit is introduced by extrapolating the results of finite-size numerical simulation to zero wavevector. The continuum nuclear susceptibility extracted from simulations is numerically close to the Pekar factor. However, we derive a new functionality involvingmore » the static and high-frequency dielectric constants. The main distinction of our approach from the traditional theories is found for the solvation free energy due to the nuclear polarization: the anticipated significant drop of its magnitude with increasing liquid polarizability does not occur. The reorganization energy of electron transfer is either nearly constant with increasing the solvent polarizability and the corresponding high-frequency dielectric constant (polarizable dipolar liquids) or actually noticeably increases (polarizable force fields of water).« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3]
+ Show Author Affiliations
  1. Arizona State Univ., Tempe, AZ (United States). School of Molecular Sciences
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). Chemistry Dept.
  3. Arizona State Univ., Tempe, AZ (United States). Dept. of Physics and School of Molecular Sciences
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Arizona State Univ., Tempe, AZ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1349561
Alternate Identifier(s):
OSTI ID: 1340505; OSTI ID: 1361771
Report Number(s):
BNL-113669-2017-JA
Journal ID: ISSN 0021-9606; R&D Project: CO004; KC0304030; TRN: US1700861
Grant/Contract Number:  
SC00112704; SC0015641
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 146; Journal Issue: 6; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 14 SOLAR ENERGY

Citation Formats

Dinpajooh, Mohammadhasan, Newton, Marshall D., and Matyushov, Dmitry V. Free energy functionals for polarization fluctuations: Pekar factor revisited. United States: N. p., 2017. Web. doi:10.1063/1.4975625.
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Dinpajooh, Mohammadhasan, Newton, Marshall D., & Matyushov, Dmitry V. Free energy functionals for polarization fluctuations: Pekar factor revisited. United States. https://doi.org/10.1063/1.4975625
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Dinpajooh, Mohammadhasan, Newton, Marshall D., and Matyushov, Dmitry V. Mon . "Free energy functionals for polarization fluctuations: Pekar factor revisited". United States. https://doi.org/10.1063/1.4975625. https://www.osti.gov/servlets/purl/1349561.
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@article{osti_1349561,
title = {Free energy functionals for polarization fluctuations: Pekar factor revisited},
author = {Dinpajooh, Mohammadhasan and Newton, Marshall D. and Matyushov, Dmitry V.},
abstractNote = {The separation of slow nuclear and fast electronic polarization in problems related to electron mobility in polarizable media was considered by Pekar 70 years ago. Within dielectric continuum models, this separation leads to the Pekar factor in the free energy of solvation by the nuclear degrees of freedom. The main qualitative prediction of Pekar’s perspective is a significant, by about a factor of two, drop of the nuclear solvation free energy compared to the total (electronic plus nuclear) free energy of solvation. The Pekar factor enters the solvent reorganization energy of electron transfer reactions and is a significant mechanistic parameter accounting for the solvent effect on electron transfer. Here, we study the separation of the fast and slow polarization modes in polar molecular liquids (polarizable dipolar liquids and polarizable water force fields) without relying on the continuum approximation. We derive the nonlocal free energy functional and use atomistic numerical simulations to obtain nonlocal, reciprocal space electronic and nuclear susceptibilities. A consistent transition to the continuum limit is introduced by extrapolating the results of finite-size numerical simulation to zero wavevector. The continuum nuclear susceptibility extracted from simulations is numerically close to the Pekar factor. However, we derive a new functionality involving the static and high-frequency dielectric constants. The main distinction of our approach from the traditional theories is found for the solvation free energy due to the nuclear polarization: the anticipated significant drop of its magnitude with increasing liquid polarizability does not occur. The reorganization energy of electron transfer is either nearly constant with increasing the solvent polarizability and the corresponding high-frequency dielectric constant (polarizable dipolar liquids) or actually noticeably increases (polarizable force fields of water).},
doi = {10.1063/1.4975625},
journal = {Journal of Chemical Physics},
number = 6,
volume = 146,
place = {United States},
year = {Mon Feb 13 00:00:00 EST 2017},
month = {Mon Feb 13 00:00:00 EST 2017}
}
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https://doi.org/10.1063/1.4975625
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