Implicit solvation model for density-functional study of nanocrystal surfaces and reaction pathways
Open accessAbstract
Solid-liquid interfaces are at the heart of many modern-day technologies and provide a challenge to many materials simulation methods. A realistic first-principles computational study of such systems entails the inclusion of solvent effects. In this work, we implement an implicit solvation model that has a firm theoretical foundation into the widely used density-functional code Vienna ab initio Software Package. The implicit solvation model follows the framework of joint density functional theory. We describe the framework, our algorithm and implementation, and benchmarks for small molecular systems. We apply the solvation model to study the surface energies of different facets of semiconducting and metallic nanocrystals and the SN2 reaction pathway. We find that solvation reduces the surface energies of the nanocrystals, especially for the semiconducting ones and increases the energy barrier of the SN2 reaction.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Later studies revealed inaccuracies in calculating reaction energies in the vacuum approach resulting from the omission of electric field and solvation effects during the simulation.
“However, later studies revealed inaccuracies in calculating reaction energies in this approach.[34-37][38] resulting from the omission of electric field and solvation effects during the simulation.”
From Electrochemical CO <sub>2</sub> Reduction into Chemical Feedstocks: From Mechanistic Electrocatalysis Models to System Design (2019) · cites this paper as [37]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Projector augmented-wave method
Blöchl, P. E. (1994) · Physical Review B · doi:10.1103/physrevb.50.17953 · Cited by 92,732 · see citing works
From ultrasoft pseudopotentials to the projector augmented-wave method
Kresse, G., & Joubert, D. (1999) · Physical Review B · doi:10.1103/physrevb.59.1758 · Cited by 85,307 · see citing works
Kresse, G., & Furthmüller, J. (1996) · Computational Materials Science · doi:10.1016/0927-0256(96)00008-0 · Cited by 75,541 · see citing works
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
Giannozzi, P., Stefano Baroni, A., Bonini, N., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Chiarotti, G., Cococcioni, M., Dabo, I., et al. (2009) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/21/39/395502 · Cited by 29,336 · see citing works
Soft self-consistent pseudopotentials in a generalized eigenvalue formalism
Vanderbilt, D. (1990) · Physical Review B · doi:10.1103/physrevb.41.7892 · Cited by 23,185 · see citing works
Quantum Mechanical Continuum Solvation Models
Tomasi, J., Mennucci, B., & Cammi, R. (2005) · Chemical Reviews · doi:10.1021/cr9904009 · Cited by 16,939 · see citing works
First-principles computation of material properties: the ABINIT software project
Gonze, X., Beuken, J.-M., Caracas, R., Detraux, F., Fuchs, M., Rignanese, G., Sindic, L., Verstraete, M. J., Gilles Zérah, A., Jollet, F., et al. (2002) · Computational Materials Science · doi:10.1016/s0927-0256(02)00325-7 · Cited by 3,094 · see citing works
Foresman, J. B., Keith, T. A., Wiberg, K. B., Snoonian, J. R., & Frisch, M. J. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp960488j · Cited by 1,256 · see citing works
A Universal Approach to Solvation Modeling
Cramer, C. J., & Truhlar, D. G. (2008) · Accounts of Chemical Research · doi:10.1021/ar800019z · Cited by 622 · see citing works
Revised self-consistent continuum solvation in electronic-structure calculations
Andreussi, O., Dabo, I., & Marzari, N. (2012) · The Journal of Chemical Physics · doi:10.1063/1.3676407 · Cited by 538 · see citing works
Letchworth-Weaver, K., & Arias, T. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.075140 · Cited by 351 · see citing works
Self-citationWang, D., Xin, H. L., Yu, Y., Wang, H., Rus, E. D., Muller, D. A., & Abruña, H. D. (2010) · Journal of the American Chemical Society · doi:10.1021/ja107874u · Cited by 312 · see citing works
SnSe Nanocrystals: Synthesis, Structure, Optical Properties, and Surface Chemistry
Baumgardner, W. J., Choi, J. J., Lim, Y., et al. (2010) · Journal of the American Chemical Society · doi:10.1021/ja1013745 · Cited by 307 · see citing works
Accuracy of exchange-correlation functionals and effect of solvation on the surface energy of copper
Fishman, M., Zhuang, H. L., Mathew, K., et al. (2013) · Physical Review B · doi:10.1103/physrevb.87.245402 · Cited by 295 · see citing works
Self-citationPredicting Nanocrystal Shape through Consideration of Surface-Ligand Interactions
Bealing, C. R., Baumgardner, W. J., Choi, J. J., Hanrath, T., & Hennig, R. G. (2012) · ACS Nano · doi:10.1021/nn3000466 · Cited by 265 · see citing works
Self-citationNano Meets Biology: Structure and Function at the Nanoparticle Interface
Moyano, D. F., & Rotello, V. M. (2011) · Langmuir · doi:10.1021/la2004535 · Cited by 246 · see citing works
Choi, J. J., Bealing, C. R., Bian, K., et al. (2011) · Journal of the American Chemical Society · doi:10.1021/ja110454b · Cited by 231 · see citing works
Gunceler, D., Letchworth‐Weaver, K., Sundararaman, R., Schwarz, K., & Arias, T. A. (2013) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/21/7/074005 · Cited by 223 · see citing works
Self-citationSynthesis of Monodisperse PbSe Nanorods: A Case for Oriented Attachment
Koh, W., Bartnik, A., Wise, F. W., et al. (2010) · Journal of the American Chemical Society · doi:10.1021/ja9105682 · Cited by 216 · see citing works
Confined-but-Connected Quantum Solids via Controlled Ligand Displacement
Baumgardner, W. J., Whitham, K., & Hanrath, T. (2013) · Nano Letters · doi:10.1021/nl401298s · Cited by 180 · see citing works
The Fabrication of Stable Gold Nanoparticle-Modified Interfaces for Electrochemistry
Liu, G., Luais, E., & Gooding, J. J. (2011) · Langmuir · doi:10.1021/la104373v · Cited by 173 · see citing works
Lead sulfide nanocrystal: conducting polymer solar cells
Watt, A. A. R., Blake, D., Warner, J. H., Thomsen, E. A., Tavenner, E., Rubinsztein-Dunlop, H. H., & Meredith, P. (2005) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/38/12/023 · Cited by 159 · see citing works
First‐principles molecular dynamics simulations in a continuum solvent
Fattebert, J., & Gygi, F. (2003) · International Journal of Quantum Chemistry · doi:10.1002/qua.10548 · Cited by 148 · see citing works
Ha, D., Islam, M. A., & Robinson, R. D. (2012) · Nano Letters · doi:10.1021/nl3019559 · Cited by 146 · see citing works
Joint Density-Functional Theory: Ab Initio Study of Cr2O3 Surface Chemistry in Solution
Petrosyan, S. A., Rigos, A. A., & Arias, T. A. (2005) · The Journal of Physical Chemistry B · doi:10.1021/jp044822k · Cited by 145 · see citing works
Self-citationSteric Effects and Solvent Effects in Ionic Reactions
Regan, C. K., Craig, S. L., & Brauman, J. I. (2002) · Science · doi:10.1126/science.1068849 · Cited by 121 · see citing works
New algebraic formulation of density functional calculation
Ismail‐Beigi, S., & Arias, T. A. (2000) · Computer Physics Communications · doi:10.1016/s0010-4655(00)00072-2 · Cited by 111 · see citing works
Self-citationSolvation Effects on the SN2 Reaction between CH3Cl and Cl- in Water
Ensing, B., Meijer, E. J., Blöchl, P. E., et al. (2001) · The Journal of Physical Chemistry A · doi:10.1021/jp003468x · Cited by 99 · see citing works
Chen, J., Ye, X., Oh, S. J., et al. (2012) · ACS Nano · doi:10.1021/nn3052617 · Cited by 97 · see citing works
Joint density-functional theory for electronic structure of solvated systems
Petrosyan, S., Briere, J.-F., Roundy, D. J., & Arias, T. A. (2007) · Physical Review B · doi:10.1103/physrevb.75.205105 · Cited by 94 · see citing works
Self-citationTruong, T. N., & Stefanovich, E. V. (1995) · The Journal of Physical Chemistry · doi:10.1021/j100040a018 · Cited by 80 · see citing works
Nonlinear Optical Properties of PbS Nanocrystals Grown in Polymer Solutions
Asunskis, D. J., Bolotin, I. L., & Hanley, L. (2008) · The Journal of Physical Chemistry C · doi:10.1021/jp8037076 · Cited by 60 · see citing works
Kumar, R., Pasupathi, S., Pollet, B. G., et al. (2013) · Electrochimica Acta · doi:10.1016/j.electacta.2013.07.140 · Cited by 53 · see citing works
Steric Effects and Solvent Effects on SN2 Reactions
Kim, Y., Cramer, C. J., & Truhlar, D. G. (2009) · The Journal of Physical Chemistry A · doi:10.1021/jp905429p · Cited by 48 · see citing works
Sundararaman, R., & Arias, T. A. (2013) · Computer Physics Communications · doi:10.1016/j.cpc.2013.11.013 · Cited by 46 · see citing works
Self-citationAccuracy of quantum Monte Carlo methods for point defects in solids
Parker, W. D., Wilkins, J. W., & Hennig, R. G. (2010) · physica status solidi (b) · doi:10.1002/pssb.201046149 · Cited by 38 · see citing works
Self-citationPatel, J. D., Mighri, F., Ajji, A., et al. (2012) · Materials Chemistry and Physics · doi:10.1016/j.matchemphys.2011.12.006 · Cited by 19 · see citing works
Nanoparticle structures served up on a tray
Billinge, S. J. L. (2013) · Nature · doi:10.1038/495453a · Cited by 18 · see citing works
Framework for solvation in quantum Monte Carlo
Schwarz, K., Sundararaman, R., Letchworth‐Weaver, K., et al. (2012) · Physical Review B · doi:10.1103/physrevb.85.201102 · Cited by 16 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
Progress and perspectives of electrochemical CO2 reduction on copper in aqueous electrolyte
Nitopi, S., Bertheussen, E., Scott, S. B., Liu, X., Engstfeld, A. K., Horch, S., Seger, B., Stephens, I. E. L., Chan, K., Hahn, C., et al. (2019) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00705 · Cited by 5,223 · see citing works
Kibria, M. G., Edwards, J. P., Gabardo, C. M., Dinh, C., Seifitokaldani, A., Sinton, D., & Sargent, E. H. (2019) · Advanced Materials · doi:10.1002/adma.201807166 · Cited by 1,331 · see citing works
Goodpaster, J. D., Bell, A. T., & Head-Gordon, M. (2016) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.6b00358 · Cited by 702 · see citing works
Electric Field Effects in Electrochemical CO <sub>2</sub> Reduction
Chen, L. D., Urushihara, M., Chan, K., & Nørskov, J. K. (2016) · ACS Catalysis · doi:10.1021/acscatal.6b02299 · Cited by 702 · see citing works
Nam, K. W., Park, S. S., dos Reis, R., Dravid, V. P., Kim, H., Mirkin, C. A., & Stoddart, J. F. (2019) · Nature Communications · doi:10.1038/s41467-019-12857-4 · Cited by 688 · see citing works
Theoretical Insights into Heterogeneous (Photo)electrochemical CO<sub>2</sub>Reduction
Xu, S., & Carter, E. A. (2019) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00481 · Cited by 652 · see citing works
Single-atom Rh/N-doped carbon electrocatalyst for formic acid oxidation
Xiong, Y., Dong, J., Huang, Z.-Q., Xin, P., Chen, W., Wang, Y., Li, Z., Jin, Z., Xing, W., Zhuang, Z., et al. (2020) · Nature Nanotechnology · doi:10.1038/s41565-020-0665-x · Cited by 610 · see citing works
Fang, S., Zhu, X., Liu, X., Gu, J., Liu, W., Wang, D., Zhang, W., Lin, Y., Lu, J., Wei, S., et al. (2020) · Nature Communications · doi:10.1038/s41467-020-14848-2 · Cited by 585 · see citing works
Wan, C., Zhang, Z., Dong, J., Xu, M., Pu, H., Baumann, D., Lin, Z., Wang, S., Huang, J., Shah, A. H., et al. (2023) · Nature Materials · doi:10.1038/s41563-023-01584-3 · Cited by 404 · see citing works
Theoretical Advances in Understanding and Designing the Active Sites for Hydrogen Evolution Reaction
Sun, F., Tang, Q., & Jiang, D.-E. (2022) · ACS Catalysis · doi:10.1021/acscatal.2c02081 · Cited by 285 · see citing works
Investigating the Role of Copper Oxide in Electrochemical CO <sub>2</sub> Reduction in Real Time
Mandal, L., Yang, K. R., Motapothula, M. R., Ren, D., Lobaccaro, P., Patra, A., Sherburne, M., Batista, V. S., Yeo, B. S., Ager, J. W., et al. (2018) · ACS Applied Materials & Interfaces · doi:10.1021/acsami.7b15418 · Cited by 269 · see citing works
Computational chemistry for water-splitting electrocatalysis
Miao, L., Jia, W., Cao, X., & Jiao, L. (2024) · Chemical Society Reviews · doi:10.1039/d2cs01068b · Cited by 241 · see citing works
Is Subsurface Oxygen Necessary for the Electrochemical Reduction of CO <sub>2</sub> on Copper?
Garza, A. J., Bell, A. T., & Head-Gordon, M. (2018) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.7b03180 · Cited by 148 · see citing works
Dissolution enables dolomite crystal growth near ambient conditions
Kim, J., Kimura, Y., Puchala, B., Yamazaki, T., Becker, U., & Sun, W. (2023) · Science · doi:10.1126/science.adi3690 · Cited by 138 · see citing works
Cao, L., Raciti, D., Li, C., Livi, K. J. T., Rottmann, P. F., Hemker, K. J., Mueller, T., & Wang, C. (2017) · ACS Catalysis · doi:10.1021/acscatal.7b03107 · Cited by 122 · see citing works
Assessing a First-Principles Model of an Electrochemical Interface by Comparison with Experiment
Steinmann, S. N., & Sautet, P. (2016) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.6b01938 · Cited by 120 · see citing works
High-efficiency electrochemical ammonia synthesis at co-catalytic Fe–Mo dual-atom sites
Li, R., Ma, R., Zhang, L.-L., Ma, W., Shao, G., Zhang, X., Tian, Y., Jiao, M., & Zhou, Z. (2025) · ACS Nano · doi:10.1021/acsnano.5c01741 · Cited by 46 · see citing works
Lee, D., Kim, Y., Han, H., Kim, W. B., Chang, H., Chung, T.-M., Han, J. H., Kim, H. W., & Kim, H. J. (2020) · Journal of Materials Chemistry A · doi:10.1039/d0ta02509g · Cited by 30 · see citing works
Meng, H., Liu, X., Chen, X., Han, Y., Zhou, C., Jiang, Q., Tan, T., & Zhang, R. (2022) · Journal of Energy Chemistry · doi:10.1016/j.jechem.2022.04.031 · Cited by 27 · see citing works
- Authors
- Mathew, K., Sundararaman, R., Letchworth-Weaver, K., Arias, T. A., & Hennig, R. G.
- Affiliations
- Cornell University (US)
- Cornell University 2 Department of Physics, , Ithaca, New York 14853, USA
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2014-02-26
- Volume
- 140
- Issue
- 8
- Pages
- 084106-084106
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2115234257
- Cited by
- 3,196
- References
- 39
- Citations by year
- 2026: 511 · 2025: 587 · 2024: 469 · 2023: 408 · 2022: 356 · 2021: 280 · 2020: 220 · 2019: 136 · 2018: 110 · 2017: 53 · 2016: 43 · 2015: 18 · 2014: 5
- FWCI
- 19.72
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- The Journal of Chemical Physics (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- DOE (DE-SC0001086)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Spectroscopy and Quantum Chemical Studies
- Keywords
- implicit solvation models, solid-liquid interface, nanocrystal surfaces, surface energy, semiconducting nanocrystals, metal nanocrystals, reaction barriers, solvent effects
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review