Intramolecular Electrostatic Effects on O2, CO2, and Acetate Binding to a Cationic Iron Porphyrin
Abstract
Noncovalent electrostatic interactions are important in many biological and chemical reactions, especially those that involve charged intermediates. There has been a growing interest in using electrostatic ligand designs—placing charges in the second coordination sphere—to improve molecular reactivity, catalysis, and electrocatalysis. For instance, an iron porphyrin bearing four cationic ortho-trimethylanilinium groups, Fe(o-TMA), has been reported to be an exceptional electrocatalyst for both the carbon dioxide reduction reaction (CO2RR) and the oxygen reduction reaction (ORR). These reactions involve many different steps, and it is not evident which steps are affected by the four positive charges, or why. By comparing Fe(o-TMA) with the related iron-tetraphenylporphyrin, this work examines how covalently positioned charged groups affect substrate binding and other key pre-equilibria of both the ORR and CO2RR, specifically acetate, dioxygen, and carbon dioxide binding. This study is among the first to directly measure the effects of electrostatics on ligand-binding. The results show that adding electrostatic groups to a catalyst design often results in a complex interplay of multiple effects, including changes in pre-equilibria prior to substrate binding, combinations of through-space and inductive contributions, and effects of ionic strength and solution dielectric. The inverse half-order dependence of binding constant on ionic strength is proposed asmore »
- Authors:
-
- Yale Univ., New Haven, CT (United States)
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Publication Date:
- Research Org.:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1734635
- Report Number(s):
- PNNL-SA-152562
Journal ID: ISSN 0020-1669
- Grant/Contract Number:
- AC05-76RL01830
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Inorganic Chemistry
- Additional Journal Information:
- Journal Volume: 59; Journal Issue: 23; Journal ID: ISSN 0020-1669
- Publisher:
- American Chemical Society (ACS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Redox reactions; electrostatics; ligands; pyrroles; organic compounds
Citation Formats
Martin, Daniel J., Johnson, Samantha I., Mercado, Brandon Q., Raugei, Simone, and Mayer, James M. Intramolecular Electrostatic Effects on O2, CO2, and Acetate Binding to a Cationic Iron Porphyrin. United States: N. p., 2020.
Web. doi:10.1021/acs.inorgchem.0c02703.
Martin, Daniel J., Johnson, Samantha I., Mercado, Brandon Q., Raugei, Simone, & Mayer, James M. Intramolecular Electrostatic Effects on O2, CO2, and Acetate Binding to a Cationic Iron Porphyrin. United States. https://doi.org/10.1021/acs.inorgchem.0c02703
Martin, Daniel J., Johnson, Samantha I., Mercado, Brandon Q., Raugei, Simone, and Mayer, James M. Tue .
"Intramolecular Electrostatic Effects on O2, CO2, and Acetate Binding to a Cationic Iron Porphyrin". United States. https://doi.org/10.1021/acs.inorgchem.0c02703. https://www.osti.gov/servlets/purl/1734635.
@article{osti_1734635,
title = {Intramolecular Electrostatic Effects on O2, CO2, and Acetate Binding to a Cationic Iron Porphyrin},
author = {Martin, Daniel J. and Johnson, Samantha I. and Mercado, Brandon Q. and Raugei, Simone and Mayer, James M.},
abstractNote = {Noncovalent electrostatic interactions are important in many biological and chemical reactions, especially those that involve charged intermediates. There has been a growing interest in using electrostatic ligand designs—placing charges in the second coordination sphere—to improve molecular reactivity, catalysis, and electrocatalysis. For instance, an iron porphyrin bearing four cationic ortho-trimethylanilinium groups, Fe(o-TMA), has been reported to be an exceptional electrocatalyst for both the carbon dioxide reduction reaction (CO2RR) and the oxygen reduction reaction (ORR). These reactions involve many different steps, and it is not evident which steps are affected by the four positive charges, or why. By comparing Fe(o-TMA) with the related iron-tetraphenylporphyrin, this work examines how covalently positioned charged groups affect substrate binding and other key pre-equilibria of both the ORR and CO2RR, specifically acetate, dioxygen, and carbon dioxide binding. This study is among the first to directly measure the effects of electrostatics on ligand-binding. The results show that adding electrostatic groups to a catalyst design often results in a complex interplay of multiple effects, including changes in pre-equilibria prior to substrate binding, combinations of through-space and inductive contributions, and effects of ionic strength and solution dielectric. The inverse half-order dependence of binding constant on ionic strength is proposed as a clear marker for an electrostatic effect. Overall, the conclusions provide guidance for the increasingly popular electrostatic ligand designs in catalysis and other reactivity.},
doi = {10.1021/acs.inorgchem.0c02703},
journal = {Inorganic Chemistry},
number = 23,
volume = 59,
place = {United States},
year = {Tue Nov 17 00:00:00 EST 2020},
month = {Tue Nov 17 00:00:00 EST 2020}
}
Works referenced in this record:
Oriented electric fields as future smart reagents in chemistry
journal, November 2016
- Shaik, Sason; Mandal, Debasish; Ramanan, Rajeev
- Nature Chemistry, Vol. 8, Issue 12
Reactions triggered electrically
journal, March 2016
- Xiang, Limin; Tao, N. J.
- Nature, Vol. 531, Issue 7592
Cation-controlled catalysis with crown ether-containing transition metal complexes
journal, January 2019
- Yoo, Changho; Dodge, Henry M.; Miller, Alexander J. M.
- Chemical Communications, Vol. 55, Issue 35
Harnessing electrostatic catalysis in single molecule, electrochemical and chemical systems: a rapidly growing experimental tool box
journal, January 2018
- Ciampi, Simone; Darwish, Nadim; Aitken, Heather M.
- Chemical Society Reviews, Vol. 47, Issue 14
Electrostatic catalysis of a Diels–Alder reaction
journal, March 2016
- Aragonès, Albert C.; Haworth, Naomi L.; Darwish, Nadim
- Nature, Vol. 531, Issue 7592
Electrostatic control of regioselectivity via ion pairing in a Au( i )-catalyzed rearrangement
journal, January 2014
- Lau, Vivian M.; Gorin, Craig F.; Kanan, Matthew W.
- Chem. Sci., Vol. 5, Issue 12
Incorporation of redox-inactive cations promotes iron catalyzed aerobic C–H oxidation at mild potentials
journal, January 2018
- Chantarojsiri, Teera; Ziller, Joseph W.; Yang, Jenny Y.
- Chemical Science, Vol. 9, Issue 9
An Electric Field–Induced Change in the Selectivity of a Metal Oxide–Catalyzed Epoxide Rearrangement
journal, December 2011
- Gorin, Craig F.; Beh, Eugene S.; Kanan, Matthew W.
- Journal of the American Chemical Society, Vol. 134, Issue 1
Through-Space Charge Interaction Substituent Effects in Molecular Catalysis Leading to the Design of the Most Efficient Catalyst of CO 2 -to-CO Electrochemical Conversion
journal, December 2016
- Azcarate, Iban; Costentin, Cyrille; Robert, Marc
- Journal of the American Chemical Society, Vol. 138, Issue 51
Combining scaling relationships overcomes rate versus overpotential trade-offs in O 2 molecular electrocatalysis
journal, March 2020
- Martin, Daniel J.; Mercado, Brandon Q.; Mayer, James M.
- Science Advances, Vol. 6, Issue 11
Electric Fields and Enzyme Catalysis
journal, June 2017
- Fried, Stephen D.; Boxer, Steven G.
- Annual Review of Biochemistry, Vol. 86, Issue 1
Electrostatic Basis for Enzyme Catalysis
journal, August 2006
- Warshel, Arieh; Sharma, Pankaz K.; Kato, Mitsunori
- Chemical Reviews, Vol. 106, Issue 8
Controlling ligand binding for tunable and switchable catalysis: cation-modulated hemilability in pincer-crown ether ligands
journal, January 2017
- Miller, Alexander J. M.
- Dalton Transactions, Vol. 46, Issue 36
Origin and Scope of Long-Range Stabilizing Interactions and Associated SOMO–HOMO Conversion in Distonic Radical Anions
journal, October 2013
- Gryn’ova, Ganna; Coote, Michelle L.
- Journal of the American Chemical Society, Vol. 135, Issue 41
Mechanism of Oxidative Alkoxyamine Cleavage: The Surprising Role of the Solvent and Supporting Electrolyte
journal, April 2019
- Noble, Benjamin B.; Norcott, Philip L.; Hammill, Chelsey L.
- The Journal of Physical Chemistry C, Vol. 123, Issue 16
Experimental demonstration of pH-dependent electrostatic catalysis of radical reactions
journal, January 2015
- Klinska, Marta; Smith, Leesa M.; Gryn'ova, Ganna
- Chemical Science, Vol. 6, Issue 10
Installation of internal electric fields by non-redox active cations in transition metal complexes
journal, January 2019
- Kang, Kevin; Fuller, Jack; Reath, Alexander H.
- Chemical Science, Vol. 10, Issue 43
Redox Potential and Electronic Structure Effects of Proximal Nonredox Active Cations in Cobalt Schiff Base Complexes
journal, February 2017
- Reath, Alexander H.; Ziller, Joseph W.; Tsay, Charlene
- Inorganic Chemistry, Vol. 56, Issue 6
Organometallic Elaboration as a Strategy for Tuning the Supramolecular Characteristics of Aza-Crown Ethers
journal, November 2019
- Smith, Jacob B.; Camp, Andrew M.; Farquhar, Alexandra H.
- Organometallics, Vol. 38, Issue 22
Cationic Charges Leading to an Inverse Free-Energy Relationship for N−N Bond Formation by Mn VI Nitrides
journal, October 2018
- Chantarojsiri, Teera; Reath, Alexander H.; Yang, Jenny Y.
- Angewandte Chemie International Edition, Vol. 57, Issue 43
Synthesis and Characterization of the Cationic Porphyrin meso-Tetrakis(2,3,5,6-tetrafluoro-N,N,N-trimethyl-4-aniliniumyl)porphyrin
journal, July 1994
- La, T.; Richards, R.; Miskelly, G. M.
- Inorganic Chemistry, Vol. 33, Issue 14
Reduction potentials of heterometallic manganese-oxido cubane complexes modulated by redox-inactive metals
journal, June 2013
- Tsui, E. Y.; Agapie, T.
- Proceedings of the National Academy of Sciences, Vol. 110, Issue 25
Redox-inactive metals modulate the reduction potential in heterometallic manganese–oxido clusters
journal, March 2013
- Tsui, Emily Y.; Tran, Rosalie; Yano, Junko
- Nature Chemistry, Vol. 5, Issue 4
Investigations of the Effect of the Non-Manganese Metal in Heterometallic-Oxido Cluster Models of the Oxygen Evolving Complex of Photosystem II: Lanthanides as Substitutes for Calcium
journal, December 2014
- Lin, Po-Heng; Takase, Michael K.; Agapie, Theodor
- Inorganic Chemistry, Vol. 54, Issue 1
Heterometallic Triiron-Oxo/Hydroxo Clusters: Effect of Redox-Inactive Metals
journal, December 2013
- Herbert, David E.; Lionetti, Davide; Rittle, Jonathan
- Journal of the American Chemical Society, Vol. 135, Issue 51
Tuning Nickel with Lewis Acidic Group 13 Metalloligands for Catalytic Olefin Hydrogenation
journal, September 2015
- Cammarota, Ryan C.; Lu, Connie C.
- Journal of the American Chemical Society, Vol. 137, Issue 39
Rare-Earth Supported Nickel Catalysts for Alkyne Semihydrogenation: Chemo- and Regioselectivity Impacted by the Lewis Acidity and Size of the Support
journal, February 2020
- Ramirez, Bianca L.; Lu, Connie C.
- Journal of the American Chemical Society, Vol. 142, Issue 11
Positive Charge on Porphyrin Ligand and Nature of Metal Center Define Basic Physicochemical Properties of Cationic Manganese and Iron Porphyrins in Aqueous Solution
journal, July 2019
- Franke, Alicja; Scheitler, Andreas; Kenkel, Isabell
- Inorganic Chemistry, Vol. 58, Issue 15
Effects of Charged Ligand Substituents on the Properties of the Formally Copper(III)-Hydroxide ([CuOH] 2+ ) Unit
journal, April 2018
- Dhar, Debanjan; Yee, Gereon M.; Tolman, William B.
- Inorganic Chemistry, Vol. 57, Issue 16
Secondary-Sphere Effects in Molecular Electrocatalytic CO2 Reduction
journal, June 2019
- Nichols, Asa W.; Machan, Charles W.
- Frontiers in Chemistry, Vol. 7
A Practical Beginner’s Guide to Cyclic Voltammetry
journal, November 2017
- Elgrishi, Noémie; Rountree, Kelley J.; McCarthy, Brian D.
- Journal of Chemical Education, Vol. 95, Issue 2
Controlling the Oxygen Reduction Selectivity of Asymmetric Cobalt Porphyrins by Using Local Electrostatic Interactions
journal, July 2020
- Zhang, Rui; Warren, Jeffrey J.
- Journal of the American Chemical Society, Vol. 142, Issue 31
Double Hangman Iron Porphyrin and the Effect of Electrostatic Nonbonding Interactions on Carbon Dioxide Reduction
journal, February 2020
- Margarit, Charles G.; Asimow, Naomi G.; Gonzalez, Miguel I.
- The Journal of Physical Chemistry Letters, Vol. 11, Issue 5
Current Issues in Molecular Catalysis Illustrated by Iron Porphyrins as Catalysts of the CO 2 -to-CO Electrochemical Conversion
journal, November 2015
- Costentin, Cyrille; Robert, Marc; Savéant, Jean-Michel
- Accounts of Chemical Research, Vol. 48, Issue 12
Visible-light-driven methane formation from CO2 with a molecular iron catalyst
journal, July 2017
- Rao, Heng; Schmidt, Luciana C.; Bonin, Julien
- Nature, Vol. 548, Issue 7665
Electrocatalytic CO 2 Reduction by Imidazolium-Functionalized Molecular Catalysts
journal, September 2017
- Sung, Siyoung; Kumar, Davinder; Gil-Sepulcre, Marcos
- Journal of the American Chemical Society, Vol. 139, Issue 40
Developing Scaling Relationships for Molecular Electrocatalysis through Studies of Fe-Porphyrin-Catalyzed O 2 Reduction
journal, April 2020
- Martin, Daniel J.; Wise, Catherine F.; Pegis, Michael L.
- Accounts of Chemical Research, Vol. 53, Issue 5
Dioxygen and carbonyl binding to iron(II) porphyrins: a comparison of the "picket fence" and "pocket" porphyrins
journal, May 1983
- Collman, James P.; Brauman, John I.; Iverson, Brent L.
- Journal of the American Chemical Society, Vol. 105, Issue 10
Thermodynamics of oxygen binding in natural and synthetic dioxygen complexes
journal, April 1984
- Niederhoffer, Eric C.; Timmons, James H.; Martell, Arthur E.
- Chemical Reviews, Vol. 84, Issue 2
Oxygen binding to iron porphyrins
journal, November 1975
- Collman, James P.; Brauman, John I.; Suslick, Kenneth S.
- Journal of the American Chemical Society, Vol. 97, Issue 24
On the relationship between internal energy and both the polarizability volume and the diamagnetic susceptibility
journal, January 1999
- de Visser, Sam P.
- Physical Chemistry Chemical Physics, Vol. 1, Issue 5
Mechanism of Catalytic O 2 Reduction by Iron Tetraphenylporphyrin
journal, May 2019
- Pegis, Michael L.; Martin, Daniel J.; Wise, Catherine F.
- Journal of the American Chemical Society
Homogenous Electrocatalytic Oxygen Reduction Rates Correlate with Reaction Overpotential in Acidic Organic Solutions
journal, October 2016
- Pegis, Michael L.; McKeown, Bradley A.; Kumar, Neeraj
- ACS Central Science, Vol. 2, Issue 11
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
Self‐consistent molecular orbital methods. XXIII. A polarization‐type basis set for second‐row elements
journal, October 1982
- Francl, Michelle M.; Pietro, William J.; Hehre, Warren J.
- The Journal of Chemical Physics, Vol. 77, Issue 7, p. 3654-3665
Self—Consistent Molecular Orbital Methods. XII. Further Extensions of Gaussian—Type Basis Sets for Use in Molecular Orbital Studies of Organic Molecules
journal, March 1972
- Hehre, W. J.; Ditchfield, R.; Pople, J. A.
- The Journal of Chemical Physics, Vol. 56, Issue 5, p. 2257-2261
Universal Solvation Model Based on Solute Electron Density and on a Continuum Model of the Solvent Defined by the Bulk Dielectric Constant and Atomic Surface Tensions
journal, May 2009
- Marenich, Aleksandr V.; Cramer, Christopher J.; Truhlar, Donald G.
- The Journal of Physical Chemistry B, Vol. 113, Issue 18, p. 6378-6396
Oxygen Activation and Radical Transformations in Heme Proteins and Metalloporphyrins
journal, December 2017
- Huang, Xiongyi; Groves, John T.
- Chemical Reviews, Vol. 118, Issue 5
CO 2 Reduction on an Iron-Porphyrin Center: A Computational Study
journal, July 2019
- Davethu, Paul A.; de Visser, Sam P.
- The Journal of Physical Chemistry A, Vol. 123, Issue 30
Software update: the ORCA program system, version 4.0: Software update
journal, July 2017
- Neese, Frank
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 1
NBO 6.0 : Natural bond orbital analysis program
journal, March 2013
- Glendening, Eric D.; Landis, Clark R.; Weinhold, Frank
- Journal of Computational Chemistry, Vol. 34, Issue 16
Models of the Cytochromes. Axial Ligand Orientation and Complex Stability in Iron(II) Porphyrinates: The Case of the Noninteracting d π Orbitals
journal, October 1997
- Safo, Martin K.; Nesset, Marlys J. M.; Walker, F. Ann
- Journal of the American Chemical Society, Vol. 119, Issue 40
Method of Continuous Variations: Applications of Job Plots to the Study of Molecular Associations in Organometallic Chemistry
journal, October 2013
- Renny, Joseph S.; Tomasevich, Laura L.; Tallmadge, Evan H.
- Angewandte Chemie International Edition, Vol. 52, Issue 46
On the use of the method of continuous variations
journal, June 1990
- Gil, Victor M. S.; Oliveira, Nuno C.
- Journal of Chemical Education, Vol. 67, Issue 6
Thin-layer spectroelectrochemical evidence of anion binding to (tetraphenylporphinato)iron(II) in nonaqueous media
journal, March 1983
- Kadish, K. M.; Rhodes, R. K.
- Inorganic Chemistry, Vol. 22, Issue 7
The determination of axial ligand binding constants for iron porphyrins by cyclic voltammetry
journal, April 1991
- Geiger, David K.; Paviak, Edmund J.; Kass, Lawrence T.
- Journal of Chemical Education, Vol. 68, Issue 4
Picket fence porphyrins. Synthetic models for oxygen binding hemoproteins
journal, March 1975
- Collman, James P.; Gagne, Robert R.; Reed, Christopher
- Journal of the American Chemical Society, Vol. 97, Issue 6
(F 8 TPP)Fe II /O 2 Reactivity Studies {F 8 TPP = Tetrakis(2,6-difluorophenyl)porphyrinate(2−)}: Spectroscopic (UV−Visible and NMR) and Kinetic Study of Solvent-Dependent (Fe/O 2 = 1:1 or 2:1) Reversible O 2 -Reduction and Ferryl Formation
journal, November 2001
- Ghiladi, Reza A.; Kretzer, Ryan M.; Guzei, Ilia
- Inorganic Chemistry, Vol. 40, Issue 23
Effects of media and electrode materials on the electrochemical reduction of dioxygen
journal, September 1982
- Sawyer, Donald T.; Chiericato, Glaico.; Angelis, Charles T.
- Analytical Chemistry, Vol. 54, Issue 11
Heme-Fe III Superoxide, Peroxide and Hydroperoxide Thermodynamic Relationships: Fe III -O 2 •– Complex H-Atom Abstraction Reactivity
journal, January 2020
- Kim, Hyun; Rogler, Patrick J.; Sharma, Savita K.
- Journal of the American Chemical Society, Vol. 142, Issue 6
CASSCF calculation on dioxygen heme complex with extended basis set
journal, April 1993
- Yamamoto, Shigeyoshi; Kashiwagi, Hiroshi
- Chemical Physics Letters, Vol. 205, Issue 2-3
CASSCF study on the FeO2 bond in a dioxygen heme complex
journal, September 1989
- Yamamoto, Shigeyoshi; Kashiwagi, Hiroshi
- Chemical Physics Letters, Vol. 161, Issue 1
Semiempirical calculations of model oxyheme: variation of calculated electromagnetic properties with electronic configuration and oxygen geometry
journal, June 1977
- Kirchner, Robert F.; Loew, Gilda H.
- Journal of the American Chemical Society, Vol. 99, Issue 14
Syntheses, NMR and EPR Spectroscopy, Electrochemical Properties, and Structural Studies of [5,10,15,20-Tetrakis(perfluoroalkyl)porphinato]iron(II) and -iron(III) Complexes
journal, June 1999
- Moore, Kevin T.; Fletcher, James T.; Therien, Michael J.
- Journal of the American Chemical Society, Vol. 121, Issue 22
Characterization and Subsequent Reactivity of an Fe-Peroxo Porphyrin Generated by Electrochemical Reductive Activation of O 2
journal, November 2016
- Oliveira, Raquel; Zouari, Wiem; Herrero, Christian
- Inorganic Chemistry, Vol. 55, Issue 23
Chemical Redox Agents for Organometallic Chemistry
journal, January 1996
- Connelly, Neil G.; Geiger, William E.
- Chemical Reviews, Vol. 96, Issue 2
Oxygen carrier and redox properties of some neutral cobalt chelates. Axial and in-plane ligand effects
journal, January 1974
- Carter, Mark J.; Rillema, D. Paul; Basolo, Fred
- Journal of the American Chemical Society, Vol. 96, Issue 2, p. 392-400
Electronic effects in transition metal porphyrins. 2. The sensitivity of redox and ligand addition reactions in para-substituted tetraphenylporphyrin complexes of cobalt(II)
journal, June 1976
- Walker, F. Ann; Beroiz, D.; Kadish, K. M.
- Journal of the American Chemical Society, Vol. 98, Issue 12
Dioxygen and carbon monoxide binding to apolar cyclophane hemes: durene-capped hemes
journal, January 1994
- David, Shantha; James, Brian R.; Dolphin, David
- Journal of the American Chemical Society, Vol. 116, Issue 1
Ligand, oxygen, and carbon monoxide affinities of iron(II) modified "capped" porphyrins
journal, April 1982
- Hashimoto, Toshiaki; Baldwin, Jack E.; Basolo, Fred
- Journal of the American Chemical Society, Vol. 104, Issue 8
Carbon monoxide binding kinetics in "capped" porphyrin compounds.
journal, September 1982
- Rose, E. J.; Venkatasubramanian, P. N.; Swartz, J. C.
- Proceedings of the National Academy of Sciences, Vol. 79, Issue 18
A study of solvent and substituent effects on the redox potentials and electron-transfer rate constants of substituted iron meso-tetraphenylporphyrins
journal, December 1976
- Kadish, K. M.; Morrison, M. M.; Constant, L. A.
- Journal of the American Chemical Society, Vol. 98, Issue 26
A survey of Hammett substituent constants and resonance and field parameters
journal, March 1991
- Hansch, Corwin.; Leo, A.; Taft, R. W.
- Chemical Reviews, Vol. 91, Issue 2
The Electrostatic Screening Length in Concentrated Electrolytes Increases with Concentration
journal, May 2016
- Smith, Alexander M.; Lee, Alpha A.; Perkin, Susan
- The Journal of Physical Chemistry Letters, Vol. 7, Issue 12
Effect of Electrolyte Concentration on the Stern Layer Thickness at a Charged Interface
journal, February 2016
- Brown, Matthew A.; Goel, Alok; Abbas, Zareen
- Angewandte Chemie International Edition, Vol. 55, Issue 11
A Convenient Method to Estimate Ion Size for Electrolyte Materials Design
journal, January 2002
- Ue, Makoto; Murakami, Akinori; Nakamura, Shinichiro
- Journal of The Electrochemical Society, Vol. 149, Issue 10