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

Title: Revisiting Understanding of Electrochemical CO2 Reduction on Cu(111): Competing Proton-Coupled Electron Transfer Reaction Mechanisms Revealed by Embedded Correlated Wavefunction Theory

Abstract

Copper (Cu) electrodes, as the most efficacious of CO2 reduction reaction (CO2RR) electrocatalysts, serve as prototypes for determining and validating reaction mechanisms associated with electrochemical CO2 reduction to hydrocarbons. As in situ electrochemical mechanism determination by experiments is still out of reach, such mechanistic analysis typically is conducted using density functional theory (DFT). The semilocal exchange-correlation (XC) approximations most often used to model such catalysis unfortunately engender a basic error: predicting the wrong adsorption site for CO (a key CO2RR intermediate) on the most ubiquitous facet of Cu, namely, Cu(111). This longstanding inconsistency casts lingering doubt on previous DFT predictions of the attendant CO2RR kinetics. Here, we apply embedded correlated wavefunction (ECW) theory, which corrects XC functional error, to study the CO2RR on Cu(111) via both surface hydride (*H) transfer and proton-coupled electron transfer (PCET). We predict that adsorbed CO (*CO) reduces almost equally to two intermediates, namely, hydroxymethylidyne (*COH) and formyl (*CHO) at –0.9 V vs the RHE. In contrast, semilocal DFT approximations predict a strong preference for *COH. With increasing applied potential, the dominance of *COH (formed via potential-independent surface *H transfer) diminishes, switching to the competitive formation of both *CHO and *COH (both formed via potential-dependent PCET).more » Furthermore, our results also demonstrate the importance of including explicitly modeled solvent molecules in predicting electron-transfer barriers and reveal the pitfalls of overreliance on simple surface *H transfer models of reduction reactions.« less

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Princeton Univ., NJ (United States)
  2. Univ. of California, Los Angeles, CA (United States)
  3. Princeton Univ., NJ (United States); Univ. of California, Los Angeles, CA (United States)
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1808091
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the American Chemical Society
Additional Journal Information:
Journal Volume: 143; Journal Issue: 16; Journal ID: ISSN 0002-7863
Publisher:
American Chemical Society (ACS)
Country of Publication:
United States
Language:
English
Subject:
30 DIRECT ENERGY CONVERSION; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; 54 ENVIRONMENTAL SCIENCES; Transfer reactions; free energy; proton coupled electron transfer; chemical structure; chemical reactions; electrochemistry

Citation Formats

Zhao, Qing, Martirez, John P., and Carter, Emily A. Revisiting Understanding of Electrochemical CO2 Reduction on Cu(111): Competing Proton-Coupled Electron Transfer Reaction Mechanisms Revealed by Embedded Correlated Wavefunction Theory. United States: N. p., 2021. Web. doi:10.1021/jacs.1c00880.
Zhao, Qing, Martirez, John P., & Carter, Emily A. Revisiting Understanding of Electrochemical CO2 Reduction on Cu(111): Competing Proton-Coupled Electron Transfer Reaction Mechanisms Revealed by Embedded Correlated Wavefunction Theory. United States. https://doi.org/10.1021/jacs.1c00880
Zhao, Qing, Martirez, John P., and Carter, Emily A. Wed . "Revisiting Understanding of Electrochemical CO2 Reduction on Cu(111): Competing Proton-Coupled Electron Transfer Reaction Mechanisms Revealed by Embedded Correlated Wavefunction Theory". United States. https://doi.org/10.1021/jacs.1c00880. https://www.osti.gov/servlets/purl/1808091.
@article{osti_1808091,
title = {Revisiting Understanding of Electrochemical CO2 Reduction on Cu(111): Competing Proton-Coupled Electron Transfer Reaction Mechanisms Revealed by Embedded Correlated Wavefunction Theory},
author = {Zhao, Qing and Martirez, John P. and Carter, Emily A.},
abstractNote = {Copper (Cu) electrodes, as the most efficacious of CO2 reduction reaction (CO2RR) electrocatalysts, serve as prototypes for determining and validating reaction mechanisms associated with electrochemical CO2 reduction to hydrocarbons. As in situ electrochemical mechanism determination by experiments is still out of reach, such mechanistic analysis typically is conducted using density functional theory (DFT). The semilocal exchange-correlation (XC) approximations most often used to model such catalysis unfortunately engender a basic error: predicting the wrong adsorption site for CO (a key CO2RR intermediate) on the most ubiquitous facet of Cu, namely, Cu(111). This longstanding inconsistency casts lingering doubt on previous DFT predictions of the attendant CO2RR kinetics. Here, we apply embedded correlated wavefunction (ECW) theory, which corrects XC functional error, to study the CO2RR on Cu(111) via both surface hydride (*H) transfer and proton-coupled electron transfer (PCET). We predict that adsorbed CO (*CO) reduces almost equally to two intermediates, namely, hydroxymethylidyne (*COH) and formyl (*CHO) at –0.9 V vs the RHE. In contrast, semilocal DFT approximations predict a strong preference for *COH. With increasing applied potential, the dominance of *COH (formed via potential-independent surface *H transfer) diminishes, switching to the competitive formation of both *CHO and *COH (both formed via potential-dependent PCET). Furthermore, our results also demonstrate the importance of including explicitly modeled solvent molecules in predicting electron-transfer barriers and reveal the pitfalls of overreliance on simple surface *H transfer models of reduction reactions.},
doi = {10.1021/jacs.1c00880},
journal = {Journal of the American Chemical Society},
number = 16,
volume = 143,
place = {United States},
year = {Wed Apr 14 00:00:00 EDT 2021},
month = {Wed Apr 14 00:00:00 EDT 2021}
}

Works referenced in this record:

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Atomistic Mechanisms Underlying Selectivities in C 1 and C 2 Products from Electrochemical Reduction of CO on Cu(111)
journal, December 2016

  • Xiao, Hai; Cheng, Tao; Goddard, William A.
  • Journal of the American Chemical Society, Vol. 139, Issue 1
  • DOI: 10.1021/jacs.6b06846

A quantum theory of molecular structure and its applications
journal, July 1991


Advances in Correlated Electronic Structure Methods for Solids, Surfaces, and Nanostructures
journal, May 2008


Multiconfigurational perturbation theory with level shift — the Cr2 potential revisited
journal, October 1995


Projector augmented-wave method
journal, December 1994


Electrochemical CO2 Reduction on Metal Electrodes
book, January 2008


A grid-based Bader analysis algorithm without lattice bias
journal, January 2009


Ab initio effective core potentials for molecular calculations. Potentials for K to Au including the outermost core orbitals
journal, January 1985

  • Hay, P. Jeffrey; Wadt, Willard R.
  • The Journal of Chemical Physics, Vol. 82, Issue 1, p. 299-310
  • DOI: 10.1063/1.448975

The influence of pH on the reduction of CO and CO 2 to hydrocarbons on copper electrodes
journal, March 2014

  • Schouten, Klaas Jan P.; Pérez Gallent, Elena; Koper, Marc T. M.
  • Journal of Electroanalytical Chemistry, Vol. 716
  • DOI: 10.1016/j.jelechem.2013.08.033

Modeling the electrified solid–liquid interface
journal, November 2008


Periodic boundary conditions in ab initio calculations
journal, February 1995


Potential Dependence of Electrochemical Barriers from ab Initio Calculations
journal, April 2016


Reaction mechanisms of CO2 electrochemical reduction on Cu(111) determined with density functional theory
journal, April 2014


PRODUCTION OF CO AND CH 4 IN ELECTROCHEMICAL REDUCTION OF CO 2 AT METAL ELECTRODES IN AQUEOUS HYDROGENCARBONATE SOLUTION
journal, November 1985

  • Hori, Yoshio; Kikuchi, Katsuhei; Suzuki, Shin
  • Chemistry Letters, Vol. 14, Issue 11
  • DOI: 10.1246/cl.1985.1695

Implicit self-consistent electrolyte model in plane-wave density-functional theory
journal, December 2019

  • Mathew, Kiran; Kolluru, V. S. Chaitanya; Mula, Srinidhi
  • The Journal of Chemical Physics, Vol. 151, Issue 23
  • DOI: 10.1063/1.5132354

A modified definition of the zeroth-order Hamiltonian in multiconfigurational perturbation theory (CASPT2)
journal, September 2004


Production of Methane and Ethylene in Electrochemical Reduction of Carbon Dioxide at Copper Electrode in Aqueous Hydrogencarbonate Solution
journal, June 1986

  • Hori, Yoshio; Kikuchi, Katsuhei; Murata, Akira
  • Chemistry Letters, Vol. 15, Issue 6
  • DOI: 10.1246/cl.1986.897

A climbing image nudged elastic band method for finding saddle points and minimum energy paths
journal, December 2000

  • Henkelman, Graeme; Uberuaga, Blas P.; Jónsson, Hannes
  • The Journal of Chemical Physics, Vol. 113, Issue 22, p. 9901-9904
  • DOI: 10.1063/1.1329672

High-precision sampling for Brillouin-zone integration in metals
journal, August 1989


Aluminum Nanocrystals as a Plasmonic Photocatalyst for Hydrogen Dissociation
journal, January 2016


Prediction of Highly Selective Electrocatalytic Nitrogen Reduction at Low Overpotential on a Mo-Doped g-GaN Monolayer
journal, October 2020


Insights into Current Limitations of Density Functional Theory
journal, August 2008


A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu
journal, April 2010

  • Grimme, Stefan; Antony, Jens; Ehrlich, Stephan
  • The Journal of Chemical Physics, Vol. 132, Issue 15
  • DOI: 10.1063/1.3382344

Balancing Competing Reactions in Hydride Transfer Catalysis via Catalyst Surface Doping: The Ionization Energy Descriptor
journal, May 2019

  • Xu, Shenzhen; Carter, Emily A.
  • Journal of the American Chemical Society, Vol. 141, Issue 25
  • DOI: 10.1021/jacs.9b02897

Determination of Site Specific Adsorption Energies of CO on Copper
journal, January 2001

  • Vollmer, Stefan; Witte, Gregor; Wöll, Christof
  • Catalysis Letters, Vol. 77, Issue 1/3, p. 97-101
  • DOI: 10.1023/A:1012755616064

Progress and Perspectives of Electrochemical CO 2 Reduction on Copper in Aqueous Electrolyte
journal, April 2019


Effect of the damping function in dispersion corrected density functional theory
journal, March 2011

  • Grimme, Stefan; Ehrlich, Stephan; Goerigk, Lars
  • Journal of Computational Chemistry, Vol. 32, Issue 7
  • DOI: 10.1002/jcc.21759

First-Principles Insights into Plasmon-Induced Catalysis
journal, April 2021


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

  • Goodpaster, Jason D.; Bell, Alexis T.; Head-Gordon, Martin
  • The Journal of Physical Chemistry Letters, Vol. 7, Issue 8
  • DOI: 10.1021/acs.jpclett.6b00358

Mechanism of CO 2 Reduction at Copper Surfaces: Pathways to C 2 Products
journal, January 2018

  • Garza, Alejandro J.; Bell, Alexis T.; Head-Gordon, Martin
  • ACS Catalysis, Vol. 8, Issue 2
  • DOI: 10.1021/acscatal.7b03477

Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996


Two Pathways for the Formation of Ethylene in CO Reduction on Single-Crystal Copper Electrodes
journal, June 2012

  • Schouten, Klaas Jan P.; Qin, Zisheng; Pérez Gallent, Elena
  • Journal of the American Chemical Society, Vol. 134, Issue 24
  • DOI: 10.1021/ja302668n

Electrochemical Reduction of CO at a Copper Electrode
journal, September 1997

  • Hori, Yoshio; Takahashi, Ryutaro; Yoshinami, Yuzuru
  • The Journal of Physical Chemistry B, Vol. 101, Issue 36
  • DOI: 10.1021/jp970284i

Selectivity of CO 2 Reduction on Copper Electrodes: The Role of the Kinetics of Elementary Steps
journal, January 2013

  • Nie, Xiaowa; Esopi, Monica R.; Janik, Michael J.
  • Angewandte Chemie International Edition, Vol. 52, Issue 9
  • DOI: 10.1002/anie.201208320

Electrochemical reduction of carbon dioxide under high pressure on various electrodes in an aqueous electrolyte
journal, July 1995

  • Hara, Kohjiro; Kudo, Akihiko; Sakata, Tadayoshi
  • Journal of Electroanalytical Chemistry, Vol. 391, Issue 1-2, p. 141-147
  • DOI: 10.1016/0022-0728(95)03935-A

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


A density-functional model of the dispersion interaction
journal, October 2005

  • Becke, Axel D.; Johnson, Erin R.
  • The Journal of Chemical Physics, Vol. 123, Issue 15
  • DOI: 10.1063/1.2065267

A direct optimization method for calculating density functionals and exchange–correlation potentials from electron densities
journal, January 2003

  • Wu, Qin; Yang, Weitao
  • The Journal of Chemical Physics, Vol. 118, Issue 6
  • DOI: 10.1063/1.1535422

Theoretical Considerations on the Electroreduction of CO to C 2 Species on Cu(100) Electrodes
journal, June 2013

  • Calle-Vallejo, Federico; Koper, Marc T. M.
  • Angewandte Chemie, Vol. 125, Issue 28
  • DOI: 10.1002/ange.201301470

Barriers of Electrochemical CO 2 Reduction on Transition Metals
journal, July 2016

  • Shi, Chuan; Chan, Karen; Yoo, Jong Suk
  • Organic Process Research & Development, Vol. 20, Issue 8
  • DOI: 10.1021/acs.oprd.6b00103

New insights into the electrochemical reduction of carbon dioxide on metallic copper surfaces
journal, January 2012

  • Kuhl, Kendra P.; Cave, Etosha R.; Abram, David N.
  • Energy & Environmental Science, Vol. 5, Issue 5
  • DOI: 10.1039/c2ee21234j

Understanding trends in electrochemical carbon dioxide reduction rates
journal, May 2017

  • Liu, Xinyan; Xiao, Jianping; Peng, Hongjie
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15438

Excited-State N 2 Dissociation Pathway on Fe-Functionalized Au
journal, March 2017

  • Martirez, John Mark P.; Carter, Emily A.
  • Journal of the American Chemical Society, Vol. 139, Issue 12
  • DOI: 10.1021/jacs.6b12301

A new mechanism for the selectivity to C1 and C2 species in the electrochemical reduction of carbon dioxide on copper electrodes
journal, January 2011

  • Schouten, K. J. P.; Kwon, Y.; van der Ham, C. J. M.
  • Chemical Science, Vol. 2, Issue 10
  • DOI: 10.1039/c1sc00277e

Optimal functionalization of a molecular electrocatalyst for hydride transfer
journal, October 2019

  • Xu, Shenzhen; Carter, Emily A.
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 46
  • DOI: 10.1073/pnas.1911948116

Implementation of density functional embedding theory within the projector-augmented-wave method and applications to semiconductor defect states
journal, September 2015

  • Yu, Kuang; Libisch, Florian; Carter, Emily A.
  • The Journal of Chemical Physics, Vol. 143, Issue 10
  • DOI: 10.1063/1.4922260

SBH10: A Benchmark Database of Barrier Heights on Transition Metal Surfaces
journal, September 2017

  • Mallikarjun Sharada, Shaama; Bligaard, Thomas; Luntz, Alan C.
  • The Journal of Physical Chemistry C, Vol. 121, Issue 36
  • DOI: 10.1021/acs.jpcc.7b05677

Facet Dependence of CO 2 Reduction Paths on Cu Electrodes
journal, December 2015


Quantum mechanical embedding theory based on a unique embedding potential
journal, April 2011

  • Huang, Chen; Pavone, Michele; Carter, Emily A.
  • The Journal of Chemical Physics, Vol. 134, Issue 15
  • DOI: 10.1063/1.3577516

Where Does the Density Localize in the Solid State? Divergent Behavior for Hybrids and DFT+U
journal, January 2018

  • Zhao, Qing; Kulik, Heather J.
  • Journal of Chemical Theory and Computation, Vol. 14, Issue 2
  • DOI: 10.1021/acs.jctc.7b01061

The complete active space SCF method in a fock-matrix-based super-CI formulation
journal, March 1980

  • Roos, Björn O.
  • International Journal of Quantum Chemistry, Vol. 18, Issue S14
  • DOI: 10.1002/qua.560180822

Molpro: a general-purpose quantum chemistry program package: Molpro
journal, July 2011

  • Werner, Hans-Joachim; Knowles, Peter J.; Knizia, Gerald
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 2
  • DOI: 10.1002/wcms.82

Theoretical Insights into Heterogeneous (Photo)electrochemical CO 2 Reduction
journal, October 2018


Density and Potential Functional Embedding: Theory and Practice
book, January 2017

  • Yu, Kuang; Krauter, Caroline M.; Dieterich, Johannes M.
  • Fragmentation: Toward Accurate Calculations on Complex Molecular Systems
  • DOI: 10.1002/9781119129271.ch2

Electrocatalytic process of CO selectivity in electrochemical reduction of CO2 at metal electrodes in aqueous media
journal, August 1994

  • Hori, Yoshio; Wakebe, Hidetoshi; Tsukamoto, Toshio
  • Electrochimica Acta, Vol. 39, Issue 11-12, p. 1833-1839
  • DOI: 10.1016/0013-4686(94)85172-7

Stable Surfaces That Bind Too Tightly: Can Range-Separated Hybrids or DFT+U Improve Paradoxical Descriptions of Surface Chemistry?
journal, August 2019


Origin of the Energy Barrier to Chemical Reactions of O 2 on Al(111): Evidence for Charge Transfer, Not Spin Selection
journal, November 2012


Rationalizing the Hot-Carrier-Mediated Reaction Mechanisms and Kinetics for Ammonia Decomposition on Ruthenium-Doped Copper Nanoparticles
journal, August 2019

  • Bao, Junwei Lucas; Carter, Emily A.
  • Journal of the American Chemical Society, Vol. 141, Issue 34
  • DOI: 10.1021/jacs.9b06804

Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
journal, January 1989

  • Dunning, Thom H.
  • The Journal of Chemical Physics, Vol. 90, Issue 2
  • DOI: 10.1063/1.456153

Improved CO Adsorption Energies, Site Preferences, and Surface Formation Energies from a Meta-Generalized Gradient Approximation Exchange–Correlation Functional, M06-L
journal, September 2012

  • Luo, Sijie; Zhao, Yan; Truhlar, Donald G.
  • The Journal of Physical Chemistry Letters, Vol. 3, Issue 20
  • DOI: 10.1021/jz301182a

A benchmark database for adsorption bond energies to transition metal surfaces and comparison to selected DFT functionals
journal, October 2015


Dissociative Adsorption of O 2 on Al(111): The Role of Orientational Degrees of Freedom
journal, April 2015

  • Cheng, Jin; Libisch, Florian; Carter, Emily A.
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 9
  • DOI: 10.1021/acs.jpclett.5b00597

Embedded Configuration Interaction Description of CO on Cu(111):  Resolution of the Site Preference Conundrum
journal, March 2008

  • Sharifzadeh, Sahar; Huang, Patrick; Carter, Emily
  • The Journal of Physical Chemistry C, Vol. 112, Issue 12
  • DOI: 10.1021/jp710890a

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

  • Cheng, Tao; Xiao, Hai; Goddard, William A.
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 8
  • DOI: 10.1073/pnas.1612106114

Electrochemical reduction of carbon dioxide at various series of copper single crystal electrodes
journal, May 2003


Density functionals for surface science: Exchange-correlation model development with Bayesian error estimation
journal, June 2012


CO adsorption on the Cu(111) surface: A density functional study
journal, March 2006


The complete active space SCF (CASSCF) method in a Newton–Raphson formulation with application to the HNO molecule
journal, February 1981

  • Siegbahn, Per E. M.; Almlöf, Jan; Heiberg, Anders
  • The Journal of Chemical Physics, Vol. 74, Issue 4
  • DOI: 10.1063/1.441359

Electrochemical CO 2 Reduction into Chemical Feedstocks: From Mechanistic Electrocatalysis Models to System Design
journal, December 2018

  • Kibria, Md Golam; Edwards, Jonathan P.; Gabardo, Christine M.
  • Advanced Materials, Vol. 31, Issue 31
  • DOI: 10.1002/adma.201807166

Prediction of a low-temperature N 2 dissociation catalyst exploiting near-IR–to–visible light nanoplasmonics
journal, December 2017


Benchmarking an Embedded Adaptive Sampling Configuration Interaction Method for Surface Reactions: H 2 Desorption from and CH 4 Dissociation on Cu(111)
journal, October 2020

  • Zhao, Qing; Zhang, Xing; Martirez, John Mark P.
  • Journal of Chemical Theory and Computation, Vol. 16, Issue 11
  • DOI: 10.1021/acs.jctc.0c00341

Revisiting Competing Paths in Electrochemical CO 2 Reduction on Copper via Embedded Correlated Wavefunction Theory
journal, August 2020

  • Zhao, Qing; Carter, Emily A.
  • Journal of Chemical Theory and Computation, Vol. 16, Issue 10
  • DOI: 10.1021/acs.jctc.0c00583

Hydride Shuttle Formation and Reaction with CO 2 on GaP(110)
journal, April 2018

  • Lessio, Martina; Senftle, Thomas P.; Carter, Emily A.
  • ChemSusChem, Vol. 11, Issue 9
  • DOI: 10.1002/cssc.201800037

Implicit solvation model for density-functional study of nanocrystal surfaces and reaction pathways
journal, February 2014

  • Mathew, Kiran; Sundararaman, Ravishankar; Letchworth-Weaver, Kendra
  • The Journal of Chemical Physics, Vol. 140, Issue 8
  • DOI: 10.1063/1.4865107

Embedded Correlated Wavefunction Schemes: Theory and Applications
journal, May 2014

  • Libisch, Florian; Huang, Chen; Carter, Emily A.
  • Accounts of Chemical Research, Vol. 47, Issue 9
  • DOI: 10.1021/ar500086h

Multireference perturbation theory for large restricted and selected active space reference wave functions
journal, April 2000

  • Celani, Paolo; Werner, Hans-Joachim
  • The Journal of Chemical Physics, Vol. 112, Issue 13
  • DOI: 10.1063/1.481132

Energy-consistent pseudopotentials for group 11 and 12 atoms: adjustment to multi-configuration Dirac–Hartree–Fock data
journal, April 2005


Special points for Brillouin-zone integrations
journal, June 1976

  • Monkhorst, Hendrik J.; Pack, James D.
  • Physical Review B, Vol. 13, Issue 12, p. 5188-5192
  • DOI: 10.1103/PhysRevB.13.5188

Hot Electrons Do the Impossible: Plasmon-Induced Dissociation of H 2 on Au
journal, December 2012

  • Mukherjee, Shaunak; Libisch, Florian; Large, Nicolas
  • Nano Letters, Vol. 13, Issue 1
  • DOI: 10.1021/nl303940z

Improved adsorption energetics within density-functional theory using revised Perdew-Burke-Ernzerhof functionals
journal, March 1999


Corrigendum to: Plasmon-Driven Dissociation of H 2 on Gold Nanoclusters
journal, December 2015

  • Libisch, Florian; Krauter, Caroline M.; Carter, Emily A.
  • Zeitschrift für Physikalische Chemie, Vol. 230, Issue 1
  • DOI: 10.1515/zpch-2015-5001

Understanding the apparent fractional charge of protons in the aqueous electrochemical double layer
journal, August 2018


Electrochemical Barriers Made Simple
journal, June 2015


Reaction Mechanisms for the Electrochemical Reduction of CO 2 to CO and Formate on the Cu(100) Surface at 298 K from Quantum Mechanics Free Energy Calculations with Explicit Water
journal, October 2016

  • Cheng, Tao; Xiao, Hai; Goddard, William A.
  • Journal of the American Chemical Society, Vol. 138, Issue 42
  • DOI: 10.1021/jacs.6b08534

Second-order perturbation theory with a CASSCF reference function
journal, July 1990

  • Andersson, Kerstin.; Malmqvist, Per Aake.; Roos, Bjoern O.
  • The Journal of Physical Chemistry, Vol. 94, Issue 14
  • DOI: 10.1021/j100377a012

Origin of the Overpotential for Oxygen Reduction at a Fuel-Cell Cathode
journal, November 2004

  • Nørskov, J. K.; Rossmeisl, J.; Logadottir, A.
  • The Journal of Physical Chemistry B, Vol. 108, Issue 46
  • DOI: 10.1021/jp047349j

Electrochemical reduction of carbon dioxide on flat metallic cathodes
journal, January 1997

  • Jitaru, M.; Lowy, D. A.; Toma, M.
  • Journal of Applied Electrochemistry, Vol. 27, Issue 8, p. 875-889
  • DOI: 10.1023/A:1018441316386

Mechanistic Explanation of the pH Dependence and Onset Potentials for Hydrocarbon Products from Electrochemical Reduction of CO on Cu (111)
journal, January 2016

  • Xiao, Hai; Cheng, Tao; Goddard, William A.
  • Journal of the American Chemical Society, Vol. 138, Issue 2
  • DOI: 10.1021/jacs.5b11390

pH effects on the electrochemical reduction of CO(2) towards C2 products on stepped copper
journal, January 2019


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

  • Cheng, Tao; Xiao, Hai; Goddard, William A.
  • The Journal of Physical Chemistry Letters, Vol. 6, Issue 23
  • DOI: 10.1021/acs.jpclett.5b02247

FT-rairs, eels and leed studies of the adsorption of carbon monoxide on Cu(111)
journal, September 1988