Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Challenges in Modeling Electrochemical Reaction Energetics with Polarizable Continuum Models

Journal Article · · ACS Catalysis
 [1];  [2];  [1];  [3];  [4];  [4];  [1];  [5]
  1. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  4. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
  5. SLAC National Accelerator Lab., Menlo Park, CA (United States)

A major challenge in the modeling of electrochemical phenomena is the accurate description of the interface between an electrolyte and a charged conductor. Polarizable continuum models (PCM) have been gaining popularity because they offer a computationally inexpensive method of modeling the electrolyte. In this Perspective, we discuss challenges from using one such model which treats the ions using a linearized Poisson–Boltzmann (LPB) distribution. From a physical perspective, this model places charge unphysically close to the surface and adsorbates, and it includes excessively steep ramping of the dielectric constant from the surface to the bulk solvent. Both of these issues can be somewhat mitigated by adjusting parameters built into the model, but in doing so, the resultant capacitance deviates from experimental values. Likewise, hybrid explicit-implicit approaches to the solvent may offer a more realistic description of hydrogen bonding and solvation to reaction intermediates, but the corresponding capacitances also deviate from experimental values. These deviations highlight the need for a careful adjustment of parameters in order to reproduce not only solvation energies but also other physical properties of solid–liquid interfaces. Continuum approaches alone also necessarily do not capture local variations in the electric field from cations at the interface, which can affect the energetics of intermediates with substantial dipoles or polarizability. Finally, since the double-layer charge can be varied continuously, LPB/PCM models provide a way to determine electrochemical barriers at constant potential. However, double-layer charging and the atomic motion associated with reaction events occur on significantly different timescales. As a result, we suggest that more detailed approaches, such as the modified Poisson–Boltzmann model and/or the addition of a Stern layer, may be able to mitigate some but not all of the challenges discussed.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1507029
Alternate ID(s):
OSTI ID: 1542366
Journal Information:
ACS Catalysis, Journal Name: ACS Catalysis Journal Issue: 2 Vol. 9; ISSN 2155-5435
Publisher:
American Chemical Society (ACS)Copyright Statement
Country of Publication:
United States
Language:
English

References (119)

Ueber einige Gesetze der Vertheilung elektrischer Ströme in körperlichen Leitern mit Anwendung auf die thierisch-elektrischen Versuche journal January 1853
Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen journal January 1905
Controlling the Catalytic Activity of Platinum-Monolayer Electrocatalysts for Oxygen Reduction with Different Substrates journal March 2005
Changing the Activity of Electrocatalysts for Oxygen Reduction by Tuning the Surface Electronic Structure journal April 2006
Zur Theorie der Elektrolytischen Doppelschicht journal November 1924
Universality in Oxygen Evolution Electrocatalysis on Oxide Surfaces journal March 2011
Dispersive interactions in water bilayers at metallic surfaces: A comparison of the PBE and RPBE functional including semiempirical dispersion corrections journal January 2012
The Potential of Zero Charge book January 2002
Interfacial Electrochemistry book January 2010
First Principles Analysis of the Electrocatalytic Oxidation of Methanol and Carbon Monoxide journal November 2007
Methanol Oxidation on Pt(111) from First-Principles in Heterogeneous and Electrocatalysis journal March 2017
The pzc of Au(111) and Pt(111) in a perchloric acid solution: an ex situ approach to the immersion technique journal September 1996
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Double layer capacitance of Pt(111) single crystal electrodes journal July 2001
Theoretical modeling of electrode/electrolyte interface from first-principles periodic continuum solvation method journal March 2013
Structure of water layers on hydrogen-covered Pt electrodes journal March 2013
Electrolysis of water on (oxidized) metal surfaces journal December 2005
Modeling the electrified solid–liquid interface journal November 2008
Avoiding pitfalls in the modeling of electrochemical interfaces journal January 2013
The oxygen reduction reaction mechanism on Pt(111) from density functional theory calculations journal November 2010
Reaction mechanisms of CO2 electrochemical reduction on Cu(111) determined with density functional theory journal April 2014
Dynamic response of liquid water to an external static electric field at T=250 K journal June 2004
Structural changes in water exposed to electric fields: A molecular dynamics study journal December 2015
JDFTx: Software for joint density-functional theory journal January 2017
A benchmark database for adsorption bond energies to transition metal surfaces and comparison to selected DFT functionals journal October 2015
CO-CO coupling on Cu facets: Coverage, strain and field effects journal December 2016
Dielectric Constant of Liquids Confined in the Extended Nanospace Measured by a Streaming Potential Method journal January 2015
Capacitance measurements on platinum electrodes for the estimation of organic impurities in water journal June 1968
Using Implicit Solvent in Ab Initio Electrochemical Modeling: Investigating Li + /Li Electrochemistry at a Li/Solvent Interface journal June 2015
Function-Space-Based Solution Scheme for the Size-Modified Poisson–Boltzmann Equation in Full-Potential DFT journal July 2016
Soft-Sphere Continuum Solvation in Electronic-Structure Calculations journal July 2017
Assessing a First-Principles Model of an Electrochemical Interface by Comparison with Experiment journal January 2016
Solvation Effects for Oxygen Evolution Reaction Catalysis on IrO 2 (110) journal May 2017
A Theoretical Investigation into the Role of Surface Defects for Oxygen Evolution on RuO 2 journal August 2017
Theoretical Insights into a CO Dimerization Mechanism in CO 2 Electroreduction journal May 2015
Electrochemical Barriers Made Simple journal June 2015
Free-Energy Barriers and Reaction Mechanisms for the Electrochemical Reduction of CO on the Cu(100) Surface, Including Multiple Layers of Explicit Solvent at pH 0 journal November 2015
Identification of Possible Pathways for C–C Bond Formation during Electrochemical Reduction of CO 2 : New Theoretical Insights from an Improved Electrochemical Model journal April 2016
Potential Dependence of Electrochemical Barriers from ab Initio Calculations journal April 2016
Layering and Ordering in Electrochemical Double Layers journal February 2018
The Importance of the Electrochemical Environment in the Electro-Oxidation of Methanol on Pt(111) journal July 2016
Electric Field Effects in Electrochemical CO 2 Reduction journal September 2016
Mechanism of CO 2 Reduction at Copper Surfaces: Pathways to C 2 Products journal January 2018
Liquid-Phase Modeling in Heterogeneous Catalysis journal January 2018
Theoretical Investigations of the Electrochemical Reduction of CO on Single Metal Atoms Embedded in Graphene journal November 2017
The Electrical Double Layer and the Theory of Electrocapillarity. journal December 1947
Mechanism and Tafel Lines of Electro-Oxidation of Water to Oxygen on RuO 2 (110) journal December 2010
Mechanistic Explanation of the pH Dependence and Onset Potentials for Hydrocarbon Products from Electrochemical Reduction of CO on Cu (111) journal January 2016
The Reaction Mechanism with Free Energy Barriers at Constant Potentials for the Oxygen Evolution Reaction at the IrO 2 (110) Surface journal December 2016
Promoter Effects of Alkali Metal Cations on the Electrochemical Reduction of Carbon Dioxide journal August 2017
Dielectric Constant of Water Confined in a Nanocavity journal June 2001
Origin of the Overpotential for Oxygen Reduction at a Fuel-Cell Cathode journal November 2004
Beyond the Continuum: How Molecular Solvent Structure Affects Electrostatics and Hydrodynamics at Solid–Electrolyte Interfaces journal September 2013
Conceptual Surface Electrochemistry and New Redox Descriptors journal August 2014
Aqueous and Surface Redox Potentials from Self-Consistently Determined Gibbs Energies journal May 2008
Surface Phase Diagram and Oxygen Coupling Kinetics on Flat and Stepped Pt Surfaces under Electrochemical Potentials journal May 2009
Temperature-Dependent Hydrogen Electrochemistry on Platinum Low-Index Single-Crystal Surfaces in Acid Solutions journal July 1997
Simple Marcus-Theory-Type Model for Hydrogen-Atom Transfer/Proton-Coupled Electron Transfer journal May 2011
Theoretical Study of Solvent Effects on the Platinum-Catalyzed Oxygen Reduction Reaction journal February 2010
Unraveling the Combined Effects of Dielectric and Viscosity Profiles on Surface Capacitance, Electro-Osmotic Mobility, and Electric Surface Conductivity journal September 2012
Alloys of platinum and early transition metals as oxygen reduction electrocatalysts journal September 2009
Understanding trends in electrochemical carbon dioxide reduction rates journal May 2017
Computational high-throughput screening of electrocatalytic materials for hydrogen evolution journal October 2006
A first principles comparison of the mechanism and site requirements for the electrocatalytic oxidation of methanol and formic acid over Pt journal January 2009
Impacts of electrode potentials and solvents on the electroreduction of CO 2 : a comparison of theoretical approaches journal January 2015
Solvation free energies for periodic surfaces: comparison of implicit and explicit solvation models journal January 2016
Origin of the overpotentials for HCOO and CO formation in the electroreduction of CO 2 on Cu(211): the reductive desorption processes decide journal January 2018
OH formation and H 2 adsorption at the liquid water–Pt(111) interface journal January 2018
Estimations of electric field effects on the oxygen reduction reaction based on the density functional theory journal January 2007
An abinitio study of electrochemical vs. electromechanical properties: the case of CO adsorbed on a Pt(111) surface journal January 2011
Sur la constitution de la charge électrique à la surface d'un électrolyte journal January 1910
Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points journal December 2000
A climbing image nudged elastic band method for finding saddle points and minimum energy paths journal December 2000
Ab initio simulation of charged slabs at constant chemical potential journal July 2001
Jacob’s ladder of density functional approximations for the exchange-correlation energy conference January 2001
Relaxation of the electrical double layer after an electron transfer approached by Brownian dynamics simulation journal May 2004
On the Theory of Oxidation‐Reduction Reactions Involving Electron Transfer. I journal May 1956
A unified electrostatic and cavitation model for first-principles molecular dynamics in solution journal February 2006
Efficient implementation of three-dimensional reference interaction site model self-consistent-field method: Application to solvatochromic shift calculations journal February 2007
Revised self-consistent continuum solvation in electronic-structure calculations journal February 2012
Dielectric constant of water at high electric fields: Molecular dynamics study journal April 1999
Self-consistent description of a metal–water interface by the Kohn–Sham density functional theory and the three-dimensional reference interaction site model journal May 1999
A dimer method for finding saddle points on high dimensional potential surfaces using only first derivatives journal October 1999
Self-consistent continuum solvation (SCCS): The case of charged systems journal December 2013
Implicit solvation model for density-functional study of nanocrystal surfaces and reaction pathways journal February 2014
The charge-asymmetric nonlocally determined local-electric (CANDLE) solvation model journal February 2015
Density functional theory study of the electrochemical interface between a Pt electrode and an aqueous electrolyte using an implicit solvent method journal June 2015
A generalized Poisson and Poisson-Boltzmann solver for electrostatic environments journal January 2016
Dielectric constant of water in the interface journal July 2016
Evaluating continuum solvation models for the electrode-electrolyte interface: Challenges and strategies for improvement journal February 2017
Grand canonical electronic density-functional theory: Algorithms and applications to electrochemistry journal March 2017
Transferable ionic parameters for first-principles Poisson-Boltzmann solvation calculations: Neutral solutes in aqueous monovalent salt solutions journal April 2017
Full atomistic reaction mechanism with kinetics for CO reduction on Cu(100) from ab initio molecular dynamics free-energy calculations at 298 K journal February 2017
Mechanistic insights into electrochemical reduction of CO 2 over Ag using density functional theory and transport models journal October 2017
LI. A contribution to the theory of electrocapillarity journal April 1913
On the structure of charged interfaces
  • Bockris, J. O'm; Devanathan, M. A. V.; Muller, K.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 274, Issue 1356, p. 55-79 https://doi.org/10.1098/rspa.1963.0114
journal June 1963
Special points for Brillouin-zone integrations journal June 1976
Ab initiomolecular dynamics for liquid metals journal January 1993
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Dipole correction for surface supercell calculations journal May 1999
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Improved adsorption energetics within density-functional theory using revised Perdew-Burke-Ernzerhof functionals journal March 1999
First-principles calculations of charged surfaces and interfaces: A plane-wave nonrepeated slab approach journal March 2006
First principles reaction modeling of the electrochemical interface: Consideration and calculation of a tunable surface potential from atomic and electronic structure journal April 2006
Electronic structure calculations of liquid-solid interfaces: Combination of density functional theory and modified Poisson-Boltzmann theory journal June 2008
Green’s function method for elimination of the spurious multipole interaction in the surface/interface slab model journal October 2009
Joint density functional theory of the electrode-electrolyte interface: Application to fixed electrode potentials, interfacial capacitances, and potentials of zero charge journal August 2012
Improved modeling of electrified interfaces using the effective screening medium method journal October 2013
Quantum-continuum simulation of the electrochemical response of pseudocapacitor electrodes under realistic conditions journal March 2017
Hybrid solvation models for bulk, interface, and membrane: Reference interaction site methods coupled with density functional theory journal September 2017
First-Principles Molecular Dynamics at a Constant Electrode Potential journal December 2012
Water Dielectric Effects in Planar Confinement journal July 2016
Generalized Gradient Approximation Made Simple journal October 1996
Structure and Bonding of Water on Pt(111) journal December 2002
Anomalously low dielectric constant of confined water journal June 2018
On the Theory of Electrochemical and Chemical Electron Transfer Processes journal January 1959
Attosecond Electron Dynamics journal May 2008
Water Structures at Metal Electrodes Studied by Ab Initio Molecular Dynamics Simulations journal January 2014
The absolute electrode potential: an explanatory note (Recommendations 1986) journal January 1986

Cited By (12)

Double layer charging driven carbon dioxide adsorption limits the rate of electrochemical carbon dioxide reduction on Gold journal January 2020
Practical Considerations for Continuum Models Applied to Surface Electrochemistry journal May 2019
Advances and challenges in modeling solvated reaction mechanisms for renewable fuels and chemicals journal August 2019
DFT Calculations of the Electrochemical Adsorption of Sulfuric Acid Anions on the Pt(110) and Pt(100) Surfaces journal December 2019
Absolute band alignment at semiconductor-water interfaces using explicit and implicit descriptions for liquid water journal October 2019
Advances and challenges in understanding the electrocatalytic conversion of carbon dioxide to fuels journal September 2019
Strategies for computational design and discovery of two-dimensional transition-metal-free materials for electro-catalysis applications journal January 2019
Reaction mechanisms at the homogeneous–heterogeneous frontier: insights from first-principles studies on ligand-decorated metal nanoparticles journal January 2019
Understanding cation effects in electrochemical CO 2 reduction journal January 2019
Atomically dispersed metal catalysts for the oxygen reduction reaction: synthesis, characterization, reaction mechanisms and electrochemical energy applications journal January 2019
Modeling the electrical double layer to understand the reaction environment in a CO 2 electrocatalytic system journal January 2019
Single metal atoms regulated flexibly by a 2D InSe substrate for CO 2 reduction electrocatalysts journal January 2019

Similar Records

Improving accuracy of electrochemical capacitance and solvation energetics in first-principles calculations
Journal Article · Wed Apr 11 00:00:00 EDT 2018 · Journal of Chemical Physics · OSTI ID:1459895

On the theory of electric double layer with explicit account of a polarizable co-solvent
Journal Article · Sat May 14 00:00:00 EDT 2016 · Journal of Chemical Physics · OSTI ID:22657995