Double Layer in Ionic Liquids: Overscreening versus Crowding
Open accessAbstract
We develop a simple Landau-Ginzburg-type continuum theory of solvent-free ionic liquids and use it to predict the structure of the electrical double layer. The model captures overscreening from short-range correlations, dominant at small voltages, and steric constraints of finite ion sizes, which prevail at large voltages. Increasing the voltage gradually suppresses overscreening in favor of the crowding of counterions in a condensed inner layer near the electrode. This prediction, the ion profiles, and the capacitance-voltage dependence are consistent with recent computer simulations and experiments on room-temperature ionic liquids, using a correlation length of order the ion size.
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In a highly concentrated condition, alternative layers of cations and anions can be formed at the interface due to overscreening or crowding effect, when role of anions becomes more significant.
“Moreover, in a highly concentrated condition, alternative layers of cations and anions can be formed at the interface due to the so-called 'overscreening e ect' or 'crowding e ect' [43,44], when the role of anions should become more significant.”
From Effect of Hofmeister Anions on Interfacial Properties of Mica Surface in Concentrated Aqueous Solution (2020) · cites this paper as [43]
The Introduction and Fig. 1 caption describe alternating counterion-rich and coion-rich layers at an ionic-liquid electrode, with overscreening at moderate voltage and counterion crowding at high voltage. They do not say that anions specifically become more significant; which ions are counterions or coions depends on the electrode charge. Page numbers are not available for these passages in our copy. (LLM, conf=0.85)
Experimental — accuracy not yet measuredAccording to the theoretical model for ionic liquids and molten salts, ion correlation and finite ion-size lead to overscreening and crowding in the Stern layer.
“According to the theoretical model for ionic liquids and molten salts [43], ion correlation and finite ion-size lead to 'overscreening' and 'crowding' in the Stern layer.”
From Effect of Hofmeister Anions on Interfacial Properties of Mica Surface in Concentrated Aqueous Solution (2020) · cites this paper as [43]
The Abstract (p. 1) attributes overscreening to short-range ion correlations and crowding to finite ion size in a condensed inner layer near the electrode. The Conclusion describes the model as applying to ionic liquids and molten salts. Our copy does not specifically locate both effects in the Stern layer; it describes them as features of the electrical double layer. (LLM, conf=0.83)
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Cites
Materials for electrochemical capacitors
Simon, P., & Gogotsi, Y. G. (2008) · Nature Materials · doi:10.1038/nmat2297 · Cited by 16,474 · see citing works
Room-Temperature Ionic Liquids. Solvents for Synthesis and Catalysis
Welton, T. (1999) · Chemical Reviews · doi:10.1021/cr980032t · Cited by 11,866 · see citing works
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Cahn, J. W., & Hilliard, J. E. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744102 · Cited by 10,534 · see citing works
Ionic-liquid materials for the electrochemical challenges of the future
Armand, M. B., Endres, F., MacFarlane, D. R., Ohno, H., & Scrosati, B. (2009) · Nature Materials · doi:10.1038/nmat2448 · Cited by 4,616 · see citing works
Double-Layer in Ionic Liquids: Paradigm Change?
Kornyshev, A. A. (2007) · The Journal of Physical Chemistry B · doi:10.1021/jp067857o · Cited by 1,319 · see citing works
Self-citationNon‐Haloaluminate Room‐Temperature Ionic Liquids in Electrochemistry—A Review
Buzzeo, M. C., Evans, R. G., & Compton, R. G. (2004) · ChemPhysChem · doi:10.1002/cphc.200301017 · Cited by 1,188 · see citing works
Electrostatic correlations: from plasma to biology
Levin, Y. (2002) · Reports on Progress in Physics · doi:10.1088/0034-4885/65/11/201 · Cited by 1,061 · see citing works
Room-temperature ionic liquids: a novel versatile lubricant.
Ye, C., Liu, W., Chen, Y., et al. (2001) · Chemical Communications · doi:10.1039/b106935g · Cited by 1,053 · see citing works
Steric Effects in Electrolytes: A Modified Poisson-Boltzmann Equation
Borukhov, I., Andelman, D., & Orland, H. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.435 · Cited by 952 · see citing works
Bazant, M. Z., Kilic, M. S., Storey, B. D., & Ajdari, A. (2009) · Advances in Colloid and Interface Science · doi:10.1016/j.cis.2009.10.001 · Cited by 919 · see citing works
Self-citationCrystal Optics with Spatial Dispersion, and Excitons
Agranovich, V. M., & Ginzburg, V. L. (1984) · Springer series in solid-state sciences · doi:10.1007/978-3-662-02406-5 · Cited by 909 · see citing works
Steric effects in the dynamics of electrolytes at large applied voltages. I. Double-layer charging
Kilic, M. S., Bazant, M. Z., & Ajdari, A. (2007) · Physical Review E · doi:10.1103/physreve.75.021502 · Cited by 819 · see citing works
Self-citationMolecular Layering of Fluorinated Ionic Liquids at a Charged Sapphire (0001) Surface
Mezger, M., Schröder, H., Reichert, H., Schramm, S., Okasinski, J., Schöder, S., Honkimäki, V., Deutsch, M., Ocko, B. M., Ralston, J., et al. (2008) · Science · doi:10.1126/science.1164502 · Cited by 653 · see citing works
Bai, Y., Cao, Y., Zhang, J., et al. (2008) · Nature Materials · doi:10.1038/nmat2224 · Cited by 645 · see citing works
A Gouy–Chapman–Stern model of the double layer at a (metal)/(ionic liquid) interface
Oldham, K. B. (2007) · Journal of Electroanalytical Chemistry · doi:10.1016/j.jelechem.2007.10.017 · Cited by 620 · see citing works
Lockett, V., Sedev, R. V., Ralston, J., et al. (2008) · The Journal of Physical Chemistry C · doi:10.1021/jp7100732 · Cited by 515 · see citing works
XXXIX. Structure and capacity of electrical double layer
Bikerman, J. J. (1942) · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786444208520813 · Cited by 496 · see citing works
Ionic Liquid Near a Charged Wall: Structure and Capacitance of Electrical Double Layer
Fedorov, M. V., & Kornyshev, A. A. (2008) · The Journal of Physical Chemistry B · doi:10.1021/jp803440q · Cited by 445 · see citing works
Self-citationTowards understanding the structure and capacitance of electrical double layer in ionic liquids
Fedorov, M. V., & Kornyshev, A. A. (2008) · Electrochimica Acta · doi:10.1016/j.electacta.2008.02.065 · Cited by 443 · see citing works
Self-citationElectrochemistry in Room Temperature Ionic Liquids: A Review and Some Possible Applications
Silvester, D. S., & Compton, R. G. (2006) · Zeitschrift für Physikalische Chemie · doi:10.1524/zpch.2006.220.10.1247 · Cited by 334 · see citing works
Double layer in ionic liquids: The nature of the camel shape of capacitance
Fedorov, M. V., Georgi, N., & Kornyshev, A. A. (2009) · Electrochemistry Communications · doi:10.1016/j.elecom.2009.12.019 · Cited by 316 · see citing works
Self-citationBifacial dye-sensitized solar cells based on an ionic liquid electrolyte
Ito, S., Zakeeruddin, S. M., Comte, P., et al. (2008) · Nature Photonics · doi:10.1038/nphoton.2008.224 · Cited by 291 · see citing works
Islam, M. M., Alam, M. T., & Ohsaka, T. (2008) · The Journal of Physical Chemistry C · doi:10.1021/jp8058849 · Cited by 221 · see citing works
Structure and dynamics of molten salts
Revere, M., & Tosi, M. (1986) · Reports on Progress in Physics · doi:10.1088/0034-4885/49/9/002 · Cited by 220 · see citing works
Nonlinear diffusion and phase separation
Nauman, E. B., & He, D. Q. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(01)00005-7 · Cited by 204 · see citing works
Alam, M. T., Islam, M. M., Okajima, T., et al. (2007) · Electrochemistry Communications · doi:10.1016/j.elecom.2007.07.009 · Cited by 157 · see citing works
Bhushan, B., Palacio, M. L. B., & Kinzig, B. J. (2007) · Journal of Colloid and Interface Science · doi:10.1016/j.jcis.2007.09.046 · Cited by 128 · see citing works
Vatamanu, J., Borodin, O. A., & Smith, G. D. (2009) · Physical Chemistry Chemical Physics · doi:10.1039/b917592j · Cited by 126 · see citing works
Measurements of Differential Capacitance at Mercury/Room-Temperature Ionic Liquids Interfaces
Alam, M. T., Islam, M. M., Okajima, T., et al. (2007) · The Journal of Physical Chemistry C · doi:10.1021/jp075808l · Cited by 125 · see citing works
Zhou, W. F., Inoue, S., Iwahashi, T., et al. (2010) · Electrochemistry Communications · doi:10.1016/j.elecom.2010.03.003 · Cited by 119 · see citing works
Computing counterion densities at intermediate coupling
Santangelo, C. D. (2006) · Physical Review E · doi:10.1103/physreve.73.041512 · Cited by 112 · see citing works
I. General and theoretical. The contact between a solid and a liquid electrolyte
Grimley, T. B., & Mott, N. F. (1947) · Discussions of the Faraday Society · doi:10.1039/df9470100003 · Cited by 112 · see citing works
Novel Formulation of Nonlocal Electrostatics
Hildebrandt, A., Blossey, R., Rjasanow, S., Kohlbacher, O., & Lenhof, H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.108104 · Cited by 108 · see citing works
Lauw, Y., Horne, M. D., Rodopoulos, T., et al. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.117801 · Cited by 103 · see citing works
Differential Capacitance of Room Temperature Ionic Liquids: The Role of Dispersion Forces
Trulsson, M., Algotsson, J., Forsman, J., et al. (2010) · The Journal of Physical Chemistry Letters · doi:10.1021/jz900412t · Cited by 101 · see citing works
Model nonlocal electrostatics. I
Kornyshev, A. A., Рубинштейн, А. И., & Vorotyntsev, M. A. (1978) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/11/15/029 · Cited by 92 · see citing works
Self-citationIncorporation of excluded-volume correlations into Poisson-Boltzmann theory
Antypov, D., Barbosa, M. C., & Holm, C. (2005) · Physical Review E · doi:10.1103/physreve.71.061106 · Cited by 83 · see citing works
Electrostatic interactions of charged bodies from the weak- to the strong-coupling regime
Hatlo, M. M., & Lue, L. (2010) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/89/25002 · Cited by 73 · see citing works
VI Crystal Optics with Spatial Dispersion
Agranovich, V. M., & Ginzburg, V. L. (1971) · Progress in optics · doi:10.1016/s0079-6638(08)70047-7 · Cited by 73 · see citing works
Zur Theorie der diffusen Doppelschicht
Freise, V. (1952) · Zeitschrift für Elektrochemie Berichte der Bunsengesellschaft für physikalische Chemie · doi:10.1002/bbpc.19520560826 · Cited by 64 · see citing works
Crystal optics with spatial dispersion
Shekhtman, V. L., & Shirokobrod, O. E. (1986) · OptSp · Cited by 53 · see citing works
Capacitance of the Double Layer Formed at the Metal/Ionic-Conductor Interface: How Large Can It Be?
Skinner, B. J., Loth, M., & Shklovskii, B. I. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.128302 · Cited by 52 · see citing works
Condensed Matter Physics Aspects of Electrochemistry
(1991) · doi:10.1142/1329 · Cited by 36 · see citing works
Interfacial phase transitions in conducting fluids
Freyland, W. (2007) · Physical Chemistry Chemical Physics · doi:10.1039/b713710a · Cited by 23 · see citing works
Flagged first, then by citations
Research works printed but not linked: 38
- [1]1. T. Welton, Chem. Rev. 99, 2071 (1999).
- [2]2. D. Silvester and R. Compton, Z. Phys. Chem. (Frankfort/ Main) 220, 1247 (2006).
- [3]3. W. Freyland, Phys. Chem. Chem. Phys. 10, 923 (2008).
- [4]4. M. Armand, F. Endres, D. R. MacFarlane, H. Ohno, and B. Scrosati, Nature Mater. 8, 621 (2009).
- [5]5. S. Ito, S. M. Zakeeruddin, P. Comte, P. Liska, D. Kuang, and M. Gratzel, Nat. Photon. 2, 693 (2008).
- [6]6. Y. Bai, Y. Cao, J. Zhang, M. Wang, R. Li, P. Wang, S. M. Zakeeruddin, and M. Gratzel, Nature Mater. 7, 626 (2008).
- [7]7. M. Buzzeo, R. Evans, and R. G. Compton, Chem. Phys. Chem. 5, 1106 (2004).
- [8]8. C. Ye, W. Liu, Y. Chen, and L. Yu, Chem. Commun. (Cambridge) 21 (2001) 2244.
- [9]9. B. Bhushan, M. Palacio, and B. Kinzig, J. Colloid Interface Sci. 317, 275 (2008).
- [10]10. P. Simon and Y. Gogotsi, Nature Mater. 7, 845 (2008).
- [11]11. A. A. Kornyshev, J. Phys. Chem. B 111, 5545 (2007).
- [12]12. M. T. Alam, M. M. Islam, T. Okajima, and T. Ohsaka, Phys. Chem. Comm. 111, 18326 (2007).
- [13]13. M. T. Alam, M. M. Islam, T. Okajima, and T. Ohsaka, Electrochem. Comm. 9, 2370 (2007).
- [14]14. M. T. Alam, M. M. Islam, T. Okajima, and T. Ohsaka, J. Phys. Chem. C 112, 16568 (2008).
- [15]15. V. Lockett, R. Sedev, J. Ralston, M. Horne, and T. Rodopoulos, J. Phys. Chem. C 112, 7486 (2008).
- [16]16. W. Zhou, S. Inoue, and T. Iwahashi, Electrochem. Comm. 12, 672 (2010).
- [18]18. Y. Lauw, M. D. Horne, T. Rodopoulos, and F. A. M. Leermakers, Phys. Rev. Lett. 103, 117801 (2009).
- [19]19. M. V. Fedorov and A. A. Kornyshev, Electrochim. Acta 53, 6835 (2008).
- [20]20. M. V. Fedorov and A. A. Kornyshev, J. Phys. Chem. B 112, 11868 (2008).
- [21]21. M. V. Fedorov, N. Georgi, and A. A. Kornyshev, Electrochem. Comm. 12, 296 (2010).
- [22]22. M. Trulsson, J. Algotsson, and J. Forsman, J. Phys. Chem. Lett. 1, 1191 (2010).
- [23]23. J. Vatamanu, O. Borodin, and G. D. Smith, Phys. Chem. Chem. Phys. 12, 170 (2010).
- [24]24. M. Z. Bazant, M. S. Kilic, B. D. Storey, and A. Ajdari, Adv. Colloid Interface Sci. 152, 48 (2009).
- [25]25. M. S. Kilic, M. Z. Bazant, and A. Ajdari, Phys. Rev. E 75, 021502 (2007).
- [26]26. V. Freise, Z. Elektrochem. 56, 822 (1952).
- [27]27. Y. Levin, Rep. Prog. Phys. 65, 1577 (2002).
- [28]28. M. Mezger et al., Science 322, 424 (2008).
- [29]29. B. Skinner, M. S. Loth, and B. I. Shklovskii, Phys. Rev. Lett. 104, 128302 (2010).
- [30]30. M. Rovere and M. P. Tosi, Rep. Prog. Phys. 49, 1001 (1986).
- [31]31. See EPAPS Document No. http://link.aps.org/ supplemental/10.1103/PhysRevLett.106.046102 for details.
- [32]32. T. B. Grimley and N. F. Mott, Discuss. Faraday Soc. 1, 3 (1947).
- [33]33. I. Borukhov, D. Andelman, and H. Orland, Phys. Rev. Lett. 79, 435 (1997).
- [34]34. J. W. Cahn and J. W. Hilliard, J. Chem. Phys. 28, 258 (1958).
- [35]35. E. B. Nauman and D. Q. Heb, Chem. Eng. Sci. 56, 1999 (2001).
- [36]36. Similar equations have been derived for the equilibrium profile of pointlike counterions near a charged wall; C. Santangelo [Phys. Rev. E 73, 041512 (2006)] showed that (2) is exact for both weak and strong coupling and a good approximation at intermediate coupling with ' c ¼ ' B ; M. M. Hatlo and L. Lue Europhys. Lett. 89, 25002 (2010)] developed a systematic approximation for ' c .
- [37]37. A. Hildebrandt, R. Blossey, S. Rjasanow, O. Kohlbacher, and H.-P. Lenhof, Phys. Rev. Lett. 93, 108104 (2004), derived a similar gradient approximation for nonlocal sol- vent dielectric response; A. Kornyshev, A. I. Rubinstein, and M. A. Vorotyntsev, J. Phys. C 11, 3307 (1978).
- [41]41. J. J. Bikerman, Philos. Mag. 33, 384 (1942).
- [42]42. D. Antypov, M. C. Barbosa, and C. Holm, Phys. Rev. E 71, 061106 (2005).
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“Moreover, in a highly concentrated condition, alternative layers of cations and anions can be formed at the interface due to the so-called ‘overscreening effect’ or ‘crowding effect’ [43,44], when the role of anions should become more significant.”
Background
- Authors
- Bazant, M. Z., Storey, B. D., & Kornyshev, A. A.
- Affiliations
- Massachusetts Institute of Technology (US)
- Franklin W. Olin College of Engineering (US)
- Imperial College London (GB)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-01-24
- Volume
- 106
- Issue
- 4
- Pages
- 046102-046102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2053340393
- Cited by
- 1,098
- References
- 44
- Citations by year
- 2026: 79 · 2025: 72 · 2024: 80 · 2023: 75 · 2022: 96 · 2021: 95 · 2020: 92 · 2019: 68 · 2018: 74 · 2017: 74 · 2016: 51 · 2015: 63 · 2014: 60 · 2013: 56 · 2012: 41
- FWCI
- 37.77
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc)
- arXiv (Cornell University)
- APS
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Electrostatics and Colloid Interactions
- Physical Sciences › Chemical Engineering › Catalysis › Ionic liquids properties and applications
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electrohydrodynamics and Fluid Dynamics
- Keywords
- ionic liquids, electric double layer, overscreening, ion size effects, ion profiles, short-range correlations, room temperature ionic liquids
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