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Srinivasan H, Sharma VK, Mitra S. Breaking the Brownian barrier: models and manifestations of molecular diffusion in complex fluids. Phys Chem Chem Phys 2024. [PMID: 39584788 DOI: 10.1039/d4cp01813c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2024]
Abstract
Over a century ago, Einstein formulated a precise mathematical model for describing Brownian motion. While this model adequately explains the diffusion of micron-sized particles in fluids, its limitations become apparent when applied to molecular self-diffusion in fluids. The foundational principles of Gaussianity and Markovianity, central to the Brownian diffusion paradigm, are insufficient for describing molecular diffusion, particularly in complex fluids characterized by intricate intermolecular interactions and hindered relaxation processes. This perspective delves into the nuanced behavior observed in diverse complex fluids, including molecular self-assembly systems, deep eutectic solvents, and ionic liquids, with a specific focus on modeling self-diffusion within these media. We explore the possibility of extending diffusion models to incorporate non-Gaussian and non-Markovian effects by augmenting the Brownian model using non-local diffusion equations. Furthermore, we validate the applicability of these models by utilizing them to describe results from quasielastic neutron scattering and MD simulations.
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Affiliation(s)
- Harish Srinivasan
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai, 400085, India.
- Homi Bhabha National Institute, Mumbai, 400094, India
| | - Veerendra K Sharma
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai, 400085, India.
- Homi Bhabha National Institute, Mumbai, 400094, India
| | - Subhankur Mitra
- Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai, 400085, India.
- Homi Bhabha National Institute, Mumbai, 400094, India
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2
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Ruiz-Martín MD, Qureshi N, González MA, Ollivier J, Frick B, Farago B. Influence of water on the microscopic dynamics of 1-butyl-3-methylimidazolium tetrafluoroborate studied by means of quasielastic neutron scattering. J Chem Phys 2022; 156:084505. [DOI: 10.1063/5.0082088] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a systematic study on the effect of water on the microscopic dynamics of 1-butyl-3-methylimidazolium tetrafluoroborate by means of quasielastic neutron scattering. By mixing the ionic liquid with either heavy or light water, the different contributions to the quasielastic broadening could be identified and treated separately. This study was performed at room temperature, which is more than 15 °C above the demixing line. Our results show that even small amounts of water accelerate the diffusion mechanisms considerably. While samples with small water percentage reveal a diffusion process confined within ionic liquid nanodomains, an admixture of more than 15 wt. % water relieves the confinement. Furthermore, the presence of two water species was identified: one behaving as free water, whereas the other was interpreted as a component bound to the ionic liquid motion. Based on the fact that water preferentially binds to the BF4 anion, which itself has a negligible contribution to the scattered intensity, our experiments reveal unprecedented information about the microscopic anion dynamics.
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Affiliation(s)
- M. D. Ruiz-Martín
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
| | - N. Qureshi
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
| | - M. A. González
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
| | - J. Ollivier
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
| | - B. Frick
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
| | - B. Farago
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
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3
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Lundin F, Hansen HW, Adrjanowicz K, Frick B, Rauber D, Hempelmann R, Shebanova O, Niss K, Matic A. Pressure and Temperature Dependence of Local Structure and Dynamics in an Ionic Liquid. J Phys Chem B 2021; 125:2719-2728. [PMID: 33656344 PMCID: PMC8034775 DOI: 10.1021/acs.jpcb.1c00147] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
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A detailed understanding
of the local dynamics in ionic liquids
remains an important aspect in the design of new ionic liquids as
advanced functional fluids. Here, we use small-angle X-ray scattering
and quasi-elastic neutron spectroscopy to investigate the local structure
and dynamics in a model ionic liquid as a function of temperature
and pressure, with a particular focus on state points (P,T) where the macroscopic dynamics, i.e., conductivity,
is the same. Our results suggest that the initial step of ion transport
is a confined diffusion process, on the nanosecond timescale, where
the motion is restricted by a cage of nearest neighbors. This process
is invariant considering timescale, geometry, and the participation
ratio, at state points of constant conductivity, i.e., state points
of isoconductivity. The connection to the nearest-neighbor structure
is underlined by the invariance of the peak in the structure factor
corresponding to nearest-neighbor correlations. At shorter timescales,
picoseconds, two localized relaxation processes of the cation can
be observed, which are not directly linked to ion transport. However,
these processes also show invariance at isoconductivity. This points
to that the overall energy landscape in ionic liquids responds in
the same way to density changes and is mainly governed by the nearest-neighbor
interactions.
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Affiliation(s)
- Filippa Lundin
- Department of Physics, Chalmers University of Technology, SE-41296 Göteborg, Sweden
| | - Henriette Wase Hansen
- Department of Physics, Chalmers University of Technology, SE-41296 Göteborg, Sweden.,Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark.,Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
| | - Karolina Adrjanowicz
- Insitute of Physics, University of Silesia, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - Bernhard Frick
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble Cedex 9, France
| | - Daniel Rauber
- Department of Chemistry, Saarland University, 66123 Saarbrücken, Germany
| | - Rolf Hempelmann
- Department of Chemistry, Saarland University, 66123 Saarbrücken, Germany
| | | | - Kristine Niss
- Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark
| | - Aleksandar Matic
- Department of Physics, Chalmers University of Technology, SE-41296 Göteborg, Sweden
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4
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Knudtzon MN, Blank DA. Photodetachment and Electron Dynamics in 1-Butyl-1-methyl-pyrrolidinium Dicyanamide. J Phys Chem B 2020; 124:9144-9153. [PMID: 32955885 DOI: 10.1021/acs.jpcb.0c06508] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The ultrafast transient absorption spectrum of 1-butyl-1-methyl-pyrrolidinium dicyanamide, [Pyr1,4+][DCA-], was measured in the visible and near-infrared (IR) spectral regions. Excitation of the liquid at 4.6 eV created initially delocalized and highly reactive electrons that either geminately recombined (69%) or localized onto a cavity with a time constant of ∼300 fs. Electron localization was reflected in the evolution of the TA spectrum and the time-dependent loss of reactivity with a dichloromethane quencher. The delocalized initial state and spectrum of the free electrons were consistent with computational predictions by Xu and Margulis [ J. Phys. Chem. B, 2015, 119, 532-542] on excess electrons in [Pyr1,4+][DCA-]. The computational study considered two possible localization mechanisms for excess electrons, localization on ions, and localization on cavities. In the case of photogenerated electron-hole pairs, the results presented here demonstrate localization to cavities as the dominant channel. Following localization onto a cavity, the free electrons underwent solvation and loss of reactivity with the quencher with rates that slowed in time. The dynamics were similar to an analogous prior study on the related liquid [Pyr1,x+][NTf2-]. One significant difference was the larger yield of free electrons from photoexcitation of [Pyr1,4+][DCA-]. This was found to primarily reflect more efficient localization onto cavities rather than a slower geminate recombination rate.
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Affiliation(s)
- Meghan N Knudtzon
- Department of Chemistry, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - David A Blank
- Department of Chemistry, University of Minnesota, Minneapolis, Minnesota 55455, United States
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Cosby T, Kapoor U, Shah JK, Sangoro J. Mesoscale Organization and Dynamics in Binary Ionic Liquid Mixtures. J Phys Chem Lett 2019; 10:6274-6280. [PMID: 31560210 DOI: 10.1021/acs.jpclett.9b02478] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
The impact of mesoscale organization on dynamics and ion transport in binary ionic liquid mixtures is investigated by broad-band dielectric spectroscopy, dynamic-mechanical spectroscopy, X-ray scattering, and molecular dynamics simulations. The mixtures are found to form distinct liquids with macroscopic properties that significantly deviate from weighted contributions of the neat components. For instance, it is shown that the mesoscale morphologies in ionic liquids can be tuned by mixing to enhance the static dielectric permittivity of the resulting liquid by as high as 100% relative to the neat ionic liquid components. This enhancement is attributed to the intricate role of interfacial dynamics associated with the changes in the mesoscopic aggregate morphologies in these systems. These results demonstrate the potential to design the physicochemical properties of ionic liquids through control of solvophobic aggregation.
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Affiliation(s)
- Tyler Cosby
- Department of Chemical and Biomolecular Engineering , University of Tennessee , Knoxville , Tennessee 37996 , United States
| | - Utkarsh Kapoor
- School of Chemical Engineering , Oklahoma State University , Stillwater , Oklahoma 74078 , United States
| | - Jindal K Shah
- School of Chemical Engineering , Oklahoma State University , Stillwater , Oklahoma 74078 , United States
| | - Joshua Sangoro
- Department of Chemical and Biomolecular Engineering , University of Tennessee , Knoxville , Tennessee 37996 , United States
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Burankova T, Roedern E, Maniadaki AE, Hagemann H, Rentsch D, Łodziana Z, Battaglia C, Remhof A, Embs JP. Dynamics of the Coordination Complexes in a Solid-State Mg Electrolyte. J Phys Chem Lett 2018; 9:6450-6455. [PMID: 30354146 DOI: 10.1021/acs.jpclett.8b02965] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Coordination complexes of magnesium borohydride show promising properties as solid electrolytes for magnesium ion batteries and warrant a thorough microscopic description of factors governing their mobility properties. Here, the dynamics of Mg(BH4)2-diglyme0.5 on the atomic level are investigated by means of quasielastic neutron scattering supported by density functional theory calculations and IR and NMR spectroscopy. Employing deuterium labeling, we can unambiguously separate all the hydrogen-containing electrolyte components, which facilitate Mg2+ transport, and provide a detailed analytical description of their motions on the picosecond time scale. The planar diglyme chain coordinating the central Mg atom appears to be flexible, while two dynamically different groups of [BH4]- anions undergo reorientations. The latter has important implications for the thermal stability and conductivity of Mg(BH4)2-diglyme0.5 and demonstrates that the presence of excess Mg(BH4)2 units in partially chelated Mg complexes may improve the overall performance of related solid-state electrolytes.
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Affiliation(s)
- Tatsiana Burankova
- Laboratory for Neutron Scattering and Imaging , Paul Scherrer Institute , 5232 Villigen PSI , Switzerland
| | - Elsa Roedern
- Empa, Swiss Federal Laboratories for Materials Science and Technology , 8600 Dübendorf , Switzerland
| | | | - Hans Hagemann
- Département de Chimie-Physique , Université de Genève , 1211 Geneva , Switzerland
| | - Daniel Rentsch
- Empa, Swiss Federal Laboratories for Materials Science and Technology , 8600 Dübendorf , Switzerland
| | | | - Corsin Battaglia
- Empa, Swiss Federal Laboratories for Materials Science and Technology , 8600 Dübendorf , Switzerland
| | - Arndt Remhof
- Empa, Swiss Federal Laboratories for Materials Science and Technology , 8600 Dübendorf , Switzerland
| | - Jan P Embs
- Laboratory for Neutron Scattering and Imaging , Paul Scherrer Institute , 5232 Villigen PSI , Switzerland
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Linking Structure to Dynamics in Protic Ionic Liquids: A Neutron Scattering Study of Correlated and Single-Particle Motions. Sci Rep 2018; 8:16400. [PMID: 30401950 PMCID: PMC6219547 DOI: 10.1038/s41598-018-34481-w] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2018] [Accepted: 10/18/2018] [Indexed: 11/22/2022] Open
Abstract
Coupling between dynamical heterogeneity of ionic liquids and their structural periodicity on different length-scales can be directly probed by quasielastic neutron scattering with polarization analysis. The technique provides the tools to investigate single-particle and cooperative ion motions separately and, thus, dynamics of ion associations affecting the net charge transport can be experimentally explored. The focus of this study is the structure-dynamic relationship in the protic ionic liquid, triethylammonium triflate, characterized by strong hydrogen bonds between cations and anions. The site-selective deuterium/hydrogen-isotope substitution was applied to modulate the relative contributions of different atom groups to the total coherent and incoherent scattering signal. This approach in combination with molecular dynamics simulations allowed us to obtain a sophisticated description of cation self-diffusion and confined ion pair dynamics from the incoherent spectral component by using the acidic proton as a tagged particle. The coherent contribution of the neutron spectra demonstrated substantial ion association leading to collective ion migration that preserves charge alteration on picosecond time scale, as well as correlation of the localized dynamics occurring between adjacent ions.
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Daly RP, Araque JC, Margulis CJ. Communication: Stiff and soft nano-environments and the “Octopus Effect” are the crux of ionic liquid structural and dynamical heterogeneity. J Chem Phys 2017; 147:061102. [DOI: 10.1063/1.4990666] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Ryan P. Daly
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242, USA
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