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Rössler EA, Becher M. Glass spectrum, excess wing phenomenon, and master curves in molecular glass formers: A multi-method approach. J Chem Phys 2024; 160:074501. [PMID: 38364007 DOI: 10.1063/5.0181187] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2023] [Accepted: 01/18/2024] [Indexed: 02/18/2024] Open
Abstract
The relaxation spectra of glass formers solely displaying an α-peak and excess wing contribution collected by various methods are reanalyzed to pin down their different spectral evolution. We show that master curve construction encompassing both α-peak and emerging excess wing works for depolarized light scattering (DLS) and nuclear magnetic resonance (NMR) relaxometry. It reveals the self-part of the slow dynamics' spectrum. Master curves are to be understood as a result of a more extensive scaling covering all temperatures instead of strict frequency-temperature superposition. DLS and NMR display identical relaxation spectra; yet, comparing different systems, we do not find a generic structural relaxation at variance with recent claims. Dielectric spectroscopy (DS) spectra show particularities, which render master curve construction obsolete. The DS α-peak is enhanced or suppressed with respect to that of DLS or NMR, yet, not correlated to the polarity of the liquid. Attempting to single out the excess wing from the overall spectrum discloses a stronger exponential temperature dependence of its amplitude compared to that below Tg and a link between its exponent and that of the fast dynamics' spectrum. Yet, such a decomposition of α-peak and excess wing appears to be unphysical. Among many different glasses, the amplitude of the excess wing power-law spectrum is found to be identical at Tg, interpreted as a relaxation analog to the Lindemann criterion.
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Affiliation(s)
- Ernst A Rössler
- Nordbayerisches NMR Zentrum, Universität Bayreuth, 95440 Bayreuth, Germany
| | - Manuel Becher
- Nordbayerisches NMR Zentrum, Universität Bayreuth, 95440 Bayreuth, Germany
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2
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Hoffmann L, Beerwerth J, Moch K, Böhmer R. Phenol, the simplest aromatic monohydroxy alcohol, displays a faint Debye-like process when mixed with a nonassociating liquid. Phys Chem Chem Phys 2023; 25:24042-24059. [PMID: 37654228 DOI: 10.1039/d3cp02774k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/02/2023]
Abstract
Solvated in propylene carbonate, viscous phenol is studied using dielectric spectroscopy and shear rheology. In addition, several oxygen-17 and deuteron nuclear magnetic resonance (NMR) techniques are applied to specifically isotope labeled equimolar mixtures. Quantum chemical calculations are used to check the electrical field gradient at phenol's oxygen site. The chosen combination of NMR methods facilitates the selective examination of potentially hydrogen-bond related contributions as well as those dominated by the structural relaxation. Taken together the present results for phenol in equimolar mixtures with the van der Waals liquid propylene carbonate provide evidence for the existence of a very weak Debye-like process that originates from ringlike supramolecular associates.
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Affiliation(s)
- Lars Hoffmann
- Fakultät Physik, Technische Universität Dortmund, 44221 Dortmund, Germany
| | - Joachim Beerwerth
- Fakultät Physik, Technische Universität Dortmund, 44221 Dortmund, Germany
| | - Kevin Moch
- Fakultät Physik, Technische Universität Dortmund, 44221 Dortmund, Germany
| | - Roland Böhmer
- Fakultät Physik, Technische Universität Dortmund, 44221 Dortmund, Germany
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3
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Santos AF, Figueirinhas JL, Dias CM, Godinho MH, Branco LC, Dionísio M. Study of the Mesomorphic Properties and Conductivity of N-Alkyl-2-Picolinium Ionic Liquid Crystals. J Mol Liq 2023. [DOI: 10.1016/j.molliq.2023.121456] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/13/2023]
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4
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Mallamace F, Mensitieri G, Salzano de Luna M, Lanzafame P, Papanikolaou G, Mallamace D. The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems. Int J Mol Sci 2022; 23:5316. [PMID: 35628124 PMCID: PMC9141735 DOI: 10.3390/ijms23105316] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/08/2022] [Revised: 05/03/2022] [Accepted: 05/04/2022] [Indexed: 12/04/2022] Open
Abstract
In the recent years a considerable effort has been devoted to foster the understanding of the basic mechanisms underlying the dynamical arrest that is involved in glass forming in supercooled liquids and in the sol-gel transition. The elucidation of the nature of such processes represents one of the most challenging unsolved problems in the field of material science. In this context, two important theories have contributed significantly to the interpretation of these phenomena: the Mode-Coupling theory (MCT) and the Percolation theory (PT). These theories are rooted on the two pillars of statistical physics, universality and scale laws, and their original formulations have been subsequently modified to account for the fundamental concepts of Energy Landscape (EL) and of the universality of the fragile to strong dynamical crossover (FSC). In this review, we discuss experimental and theoretical results, including Molecular Dynamics (MD) simulations, reported in the literature for colloidal and polymer systems displaying both glass and sol-gel transitions. Special focus is dedicated to the analysis of the interferences between these transitions and on the possible interplay between MCT and PT. By reviewing recent theoretical developments, we show that such interplay between sol-gel and glass transitions may be interpreted in terms of the extended F13 MCT model that describes these processes based on the presence of a glass-glass transition line terminating in an A3 cusp-like singularity (near which the logarithmic decay of the density correlator is observed). This transition line originates from the presence of two different amorphous structures, one generated by the inter-particle attraction and the other by the pure repulsion characteristic of hard spheres. We show here, combining literature results with some new results, that such a situation can be generated, and therefore experimentally studied, by considering colloidal-like particles interacting via a hard core plus an attractive square well potential. In the final part of this review, scaling laws associated both to MCT and PT are applied to describe, by means of these two theories, the specific viscoelastic properties of some systems.
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Affiliation(s)
- Francesco Mallamace
- Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, 00185 Rome, Italy
| | - Giuseppe Mensitieri
- Department of Chemical, Materials and Production Engineering, University of Naples Federico II, Piazzale Tecchio 80, 80125 Naples, Italy; (G.M.); (M.S.d.L.)
| | - Martina Salzano de Luna
- Department of Chemical, Materials and Production Engineering, University of Naples Federico II, Piazzale Tecchio 80, 80125 Naples, Italy; (G.M.); (M.S.d.L.)
| | - Paola Lanzafame
- Departments of ChiBioFarAm and MIFT—Section of Industrial Chemistry, University of Messina, CASPE-INSTM, V.le F. Stagno d’Alcontres 31, 98166 Messina, Italy; (P.L.); (G.P.)
| | - Georgia Papanikolaou
- Departments of ChiBioFarAm and MIFT—Section of Industrial Chemistry, University of Messina, CASPE-INSTM, V.le F. Stagno d’Alcontres 31, 98166 Messina, Italy; (P.L.); (G.P.)
| | - Domenico Mallamace
- Departments of ChiBioFarAm—Section of Industrial Chemistry, University of Messina, CASPE-INSTM, V.le F. Stagno d’Alcontres 31, 98166 Messina, Italy;
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5
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Lunkenheimer P, Humann F, Loidl A, Samwer K. Universal correlations between the fragility and interparticle repulsion of glass-forming liquids. J Chem Phys 2020; 153:124507. [PMID: 33003757 DOI: 10.1063/5.0014457] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A recently published analytical model describing and predicting elasticity, viscosity, and fragility of metallic melts is applied for the analysis of about 30 nonmetallic glassy systems, ranging from oxide network glasses to alcohols, low-molecular-weight liquids, polymers, plastic crystals, and even ionic glass formers. The model is based on the power-law exponent λ representing the steepness parameter of the repulsive part of the inter-atomic or inter-molecular potential and the thermal-expansion parameter αT determined by the attractive anharmonic part of the effective interaction. It allows fitting the typical super-Arrhenius temperature variation of the viscosity or dielectric relaxation time for various classes of glass-forming matter, over many decades. We discuss the relation of the model parameters found for all these different glass-forming systems to the fragility parameter m and detect a correlation of λ and m for the non-metallic glass formers, in accord with the model predictions. Within the framework of this model, the fragility of glass formers can be traced back to microscopic model parameters characterizing the intermolecular interactions.
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Affiliation(s)
- Peter Lunkenheimer
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Felix Humann
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Alois Loidl
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Konrad Samwer
- I. Physikalisches Institut, Universität Göttingen, 37077 Göttingen, Germany
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6
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Jung G, Caraglio M, Schrack L, Franosch T. Dynamical properties of densely packed confined hard-sphere fluids. Phys Rev E 2020; 102:012612. [PMID: 32795038 DOI: 10.1103/physreve.102.012612] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2020] [Accepted: 06/28/2020] [Indexed: 11/07/2022]
Abstract
Numerical solutions of the mode-coupling theory (MCT) equations for a hard-sphere fluid confined between two parallel hard walls are elaborated. The governing equations feature multiple parallel relaxation channels which significantly complicate their numerical integration. We investigate the intermediate scattering functions and the susceptibility spectra close to structural arrest and compare to an asymptotic analysis of the MCT equations. We corroborate that the data converge in the β-scaling regime to two asymptotic power laws, viz. the critical decay and the von Schweidler law. The numerical results reveal a nonmonotonic dependence of the power-law exponents on the slab width and a nontrivial kink in the low-frequency susceptibility spectra. We also find qualitative agreement of these theoretical results to event-driven molecular dynamics simulations of polydisperse hard-sphere systems. In particular, the nontrivial dependence of the dynamical properties on the slab width is well reproduced.
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Affiliation(s)
- Gerhard Jung
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
| | - Michele Caraglio
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
| | - Lukas Schrack
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
| | - Thomas Franosch
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
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7
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Bender JS, Zhi M, Cicerone MT. The polarizability response of a glass-forming liquid reveals intrabasin motion and interbasin transitions on a potential energy landscape. SOFT MATTER 2020; 16:5588-5598. [PMID: 32057068 DOI: 10.1039/c9sm02326g] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Potential energy landscape (PEL) concepts have been useful in conceptualizing the effects of intermolecular interactions on dynamic and thermodynamic properties of liquids and glasses. "Basins", or regions of reduced potential energy associated with locally preferred molecular packing are important PEL features. The molecular configurations at the bottom of these basins are referred to as inherent structures (ISs). Experimental methods for directly characterizing PEL features such as these are rare, largely relegating PEL concepts to theory and simulation studies, and impeding their exploration in real systems. Recently, we showed that quasielastic neutron scattering (QENS) data from propylene carbonate (PC) exhibit signatures of picosecond timescale motion that are consistent with intrabasin motion and interbasin transitions [Cicerone et al., J. Chem. Phys., 2017, 146, 054502]. Here we present optically-heterodyne-detected optical Kerr effect (OHD-OKE) spectroscopy studies on PC. The data exhibit signatures of motion within and transitions between basins that agree quantitatively with and extend the QENS results. We show that the librational component of the OKE response corresponds to intrabasin dynamics, and the enigmatic intermediate OKE response corresponds to interbasin transition events. The OKE data extend the measurement range of these parameters and reveal their utility in characterizing PEL features of real systems.
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Affiliation(s)
- John S Bender
- National Institute of Standards and Technology, Gaithersburg, MD 20899, USA
| | - Miaochan Zhi
- National Institute of Standards and Technology, Gaithersburg, MD 20899, USA
| | - Marcus T Cicerone
- National Institute of Standards and Technology, Gaithersburg, MD 20899, USA and Department of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, GA 30332, USA.
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8
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Ni Y, Song H, Wilcox DA, Medvedev GA, Boudouris BW, Caruthers JM. Rethinking the Analysis of the Linear Viscoelastic Behavior of an Epoxy Polymer near and above the Glass Transition. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b02634] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Yelin Ni
- Davidson School of Chemical Engineering; Forney Hall of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, United States
| | - Hosup Song
- Davidson School of Chemical Engineering; Forney Hall of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, United States
| | - Daniel A. Wilcox
- Davidson School of Chemical Engineering; Forney Hall of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, United States
| | - Grigori A. Medvedev
- Davidson School of Chemical Engineering; Forney Hall of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, United States
| | - Bryan W. Boudouris
- Davidson School of Chemical Engineering; Forney Hall of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, United States
| | - James M. Caruthers
- Davidson School of Chemical Engineering; Forney Hall of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, United States
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9
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Ozawa M, Scalliet C, Ninarello A, Berthier L. Does the Adam-Gibbs relation hold in simulated supercooled liquids? J Chem Phys 2019; 151:084504. [DOI: 10.1063/1.5113477] [Citation(s) in RCA: 31] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Affiliation(s)
- Misaki Ozawa
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
| | - Camille Scalliet
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
| | | | - Ludovic Berthier
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
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10
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Abstract
A broad survey of viscoelastic data demonstrates that van der Waals, hydrogen-bonded, and ionic liquids, as well as polymeric, inorganic, and metallic melts share a structural relaxation pattern virtually insensitive to their morphological details. This mechanical simplicity is connected with that characterizing the fast reorientation dynamics prevailing in liquids devoid of a distinguishable secondary susceptibility peak. By these means one is able to uncover a generic spectral pattern which rationalizes the recently reported "universality" of relaxation strength vs stretching of the dielectric response of viscous liquids, significantly broadening the framework in which their relaxation behavior is assessed.
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Affiliation(s)
- Catalin Gainaru
- Fakultät Physik, Technische Universität Dortmund, 44221 Dortmund, Germany
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11
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Berthier L, Ozawa M, Scalliet C. Configurational entropy of glass-forming liquids. J Chem Phys 2019; 150:160902. [PMID: 31042883 DOI: 10.1063/1.5091961] [Citation(s) in RCA: 49] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
Abstract
The configurational entropy is one of the most important thermodynamic quantities characterizing supercooled liquids approaching the glass transition. Despite decades of experimental, theoretical, and computational investigation, a widely accepted definition of the configurational entropy is missing, its quantitative characterization remains fraught with difficulties, misconceptions, and paradoxes, and its physical relevance is vividly debated. Motivated by recent computational progress, we offer a pedagogical perspective on the configurational entropy in glass-forming liquids. We first explain why the configurational entropy has become a key quantity to describe glassy materials, from early empirical observations to modern theoretical treatments. We explain why practical measurements necessarily require approximations that make its physical interpretation delicate. We then demonstrate that computer simulations have become an invaluable tool to obtain precise, nonambiguous, and experimentally relevant measurements of the configurational entropy. We describe a panel of available computational tools, offering for each method a critical discussion. This perspective should be useful to both experimentalists and theoreticians interested in glassy materials and complex systems.
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Affiliation(s)
- Ludovic Berthier
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
| | - Misaki Ozawa
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
| | - Camille Scalliet
- Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
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12
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Jedrzejowska A, Hensel-Bielowka S, Koperwas K, Jurkiewicz K, Chmiel K, Jacquemin J, Kruk D, Paluch M. Peculiar relaxation dynamics of propylene carbonate derivatives. J Chem Phys 2019; 150:044504. [PMID: 30709305 DOI: 10.1063/1.5055204] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023] Open
Abstract
The aim of this work is to analyze in detail the effect of the alkyl chain length on the dynamics of glass-forming propylene carbonate (PC) derivatives. Examined samples are low-molecular weight derivatives of the PC structure, i.e., the 4-alkyl-1,3-dioxolan-2-one series, modified by changing the alkyl substituent from methyl to hexyl. The molecular dynamics (MD) has been analyzed based on experimental data collected from differential scanning calorimetry, broadband dielectric spectroscopy (BDS), X-ray diffraction (XRD), and nuclear magnetic resonance relaxometry measurements as well as MD simulations. The dielectric results show in samples with the propyl- or longer carbon chain the presence of slow Debye-like relaxation with features similar to those found in associative materials. Both XRD and MD reveal differences in the intermolecular structure between PC and 4-butyl-1,3-dioxolan-2-one liquids. Moreover, MD shows that the probability of finding one terminal carbon atom of the side chain of BPC in the vicinity of another carbon atom of the same type is much higher than in the case of PC. It suggests that there is a preference for longer hydrocarbon chains to set themselves close to each other. Consequently, the observed slow-mode peak may be caused by movement of aggregates maintained by van der Waals interactions. Reported herein, findings provide a new insight into the molecular origin of Debye-like relaxation.
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Affiliation(s)
- Agnieszka Jedrzejowska
- Institute of Physics, University of Silesia, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | | | - Kajetan Koperwas
- Institute of Physics, University of Silesia, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - Karolina Jurkiewicz
- Institute of Physics, University of Silesia, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - Krzysztof Chmiel
- Institute of Physics, University of Silesia, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - Johan Jacquemin
- School of Chemistry and Chemical Engineering, Queen's University Belfast, Belfast BT9 5AG, Northern Ireland
| | - Danuta Kruk
- Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Sloneczna 54, PL-10-710 Olsztyn, Poland
| | - Marian Paluch
- Institute of Physics, University of Silesia, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
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13
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Reuter D, Binder C, Lunkenheimer P, Loidl A. Ionic conductivity of deep eutectic solvents: the role of orientational dynamics and glassy freezing. Phys Chem Chem Phys 2019; 21:6801-6809. [DOI: 10.1039/c9cp00742c] [Citation(s) in RCA: 45] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Dielectric spectroscopy reveals that the ionic conductivity of deep eutectic solvents is closely coupled to their reorientational dipolar relaxation dynamics.
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Affiliation(s)
- Daniel Reuter
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg
- 86135 Augsburg
- Germany
| | - Catharina Binder
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg
- 86135 Augsburg
- Germany
| | - Peter Lunkenheimer
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg
- 86135 Augsburg
- Germany
| | - Alois Loidl
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg
- 86135 Augsburg
- Germany
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14
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Lunkenheimer P, Emmert S, Gulich R, Köhler M, Wolf M, Schwab M, Loidl A. Electromagnetic-radiation absorption by water. Phys Rev E 2017; 96:062607. [PMID: 29347319 DOI: 10.1103/physreve.96.062607] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2017] [Indexed: 06/07/2023]
Abstract
Why does a microwave oven work? How does biological tissue absorb electromagnetic radiation? Astonishingly, we do not have a definite answer to these simple questions because the microscopic processes governing the absorption of electromagnetic waves by water are largely unclarified. This absorption can be quantified by dielectric loss spectra, which reveal a huge peak at a frequency of the exciting electric field of about 20 GHz and a gradual tailing off toward higher frequencies. The microscopic interpretation of such spectra is highly controversial and various superpositions of relaxation and resonance processes ascribed to single-molecule or molecule-cluster motions have been proposed for their analysis. By combining dielectric, microwave, THz, and far-infrared spectroscopy, here we provide nearly continuous temperature-dependent broadband spectra of water. Moreover, we find that corresponding spectra for aqueous solutions reveal the same features as pure water. However, in contrast to the latter, crystallization in these solutions can be avoided by supercooling. As different spectral contributions tend to disentangle at low temperatures, this enables us to deconvolute them when approaching the glass transition under cooling. We find that the overall spectral development, including the 20 GHz feature (employed for microwave heating), closely resembles the behavior known for common supercooled liquids. Thus water's absorption of electromagnetic waves at room temperature is not unusual but very similar to that of glass-forming liquids at elevated temperatures, deep in the low-viscosity liquid regime, and should be interpreted along similar lines.
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Affiliation(s)
- P Lunkenheimer
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - S Emmert
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - R Gulich
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - M Köhler
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - M Wolf
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - M Schwab
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - A Loidl
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
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15
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Yamaguchi T, Yoshida K, Yamaguchi T, Nagao M, Faraone A, Seki S. Decoupling between the Temperature-Dependent Structural Relaxation and Shear Viscosity of Concentrated Lithium Electrolyte. J Phys Chem B 2017; 121:8767-8773. [PMID: 28841313 DOI: 10.1021/acs.jpcb.7b04633] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The intermediate scattering functions of concentrated solutions of LiPF6 in propylene carbonate (PC) were measured at various temperatures, two different wavenumbers, and three different concentrations using neutron spin echo (NSE) spectroscopy. The temperature dependence of the relaxation time was larger than that of the steady-state shear viscosity in all cases. The shear relaxation spectra were also determined at different temperatures. The normalized spectra reduced to a master curve when the frequency was multiplied by the steady-state shear viscosity, indicating that the temperature dependence of the steady-state shear viscosity can be explained by that of the relaxation time of the shear stress. It is thus suggested that the dynamics of the shear stress is decoupled from the structural dynamics on the molecular scale.
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Affiliation(s)
- Tsuyoshi Yamaguchi
- Department of Molecular Design and Engineering, Graduate School of Engineering, Nagoya University , Furo-cho, Chikusa, Nagoya, Aichi 464-8603, Japan
| | - Koji Yoshida
- Department of Chemistry, Faculty of Science, Fukuoka University , Nanakuma, Jonan, Fukuoka 814-0180, Japan
| | - Toshio Yamaguchi
- Department of Chemistry, Faculty of Science, Fukuoka University , Nanakuma, Jonan, Fukuoka 814-0180, Japan
| | - Michihiro Nagao
- NIST Center for Neutron Research, National Institute of Standards and Technology , Gaithersburg, Maryland 20899-6102, United States.,Center for Exploration of Energy and Matter, Indiana University , Bloomington, Indiana 47408-1398, United States
| | - Antonio Faraone
- NIST Center for Neutron Research, National Institute of Standards and Technology , Gaithersburg, Maryland 20899-6102, United States
| | - Shiro Seki
- Materials Science Research Laboratory, Central Research Institute of Electric Power Industry (CRIEPI) , 2-11-1, Iwado-kita, Komae, Tokyo 201-8511, Japan
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16
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Jedrzejowska A, Wojnarowska Z, Adrjanowicz K, Ngai KL, Paluch M. Toward a better understanding of dielectric responses of van der Waals liquids: The role of chemical structures. J Chem Phys 2017. [DOI: 10.1063/1.4977736] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Agnieszka Jedrzejowska
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
- Silesian Center for Education and Interdisciplinary Research, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - Zaneta Wojnarowska
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
- Silesian Center for Education and Interdisciplinary Research, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - Karolina Adrjanowicz
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
- Silesian Center for Education and Interdisciplinary Research, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - K. L. Ngai
- CNR-IPCF, Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy
| | - Marian Paluch
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
- Silesian Center for Education and Interdisciplinary Research, 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
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17
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Lyapin AG, Gromnitskaya E, Danilov IV, Brazhkin VV. Elastic properties of the hydrogen-bonded liquid and glassy glycerol under high pressure: comparison with propylene carbonate. RSC Adv 2017. [DOI: 10.1039/c7ra06165j] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Abstract
We compare elastic properties of the liquid and glassy glycerol and propylene carbonate as the archetypal molecular glass formers with and without hydrogen bonding.
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Affiliation(s)
- A. G. Lyapin
- Institute for High Pressure Physics
- Russian Academy of Sciences
- Moscow
- 108840 Russia
- Moscow Institute of Physics and Technology
| | - E. L. Gromnitskaya
- Institute for High Pressure Physics
- Russian Academy of Sciences
- Moscow
- 108840 Russia
| | - I. V. Danilov
- Institute for High Pressure Physics
- Russian Academy of Sciences
- Moscow
- 108840 Russia
- Moscow Institute of Physics and Technology
| | - V. V. Brazhkin
- Institute for High Pressure Physics
- Russian Academy of Sciences
- Moscow
- 108840 Russia
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18
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Glass-Forming Tendency of Molecular Liquids and the Strength of the Intermolecular Attractions. Sci Rep 2016; 6:36934. [PMID: 27883011 PMCID: PMC5121653 DOI: 10.1038/srep36934] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/31/2016] [Accepted: 10/24/2016] [Indexed: 12/24/2022] Open
Abstract
When we cool down a liquid below the melting temperature, it can either crystallize or become supercooled, and then form a disordered solid called glass. Understanding what makes a liquid to crystallize readily in one case and form a stable glass in another is a fundamental problem in science and technology. Here we show that the crystallization/glass-forming tendencies of the molecular liquids might be correlated with the strength of the intermolecular attractions, as determined from the combined experimental and computer simulation studies. We use van der Waals bonded propylene carbonate and its less polar structural analog 3-methyl-cyclopentanone to show that the enhancement of the dipole-dipole forces brings about the better glass-forming ability of the sample when cooling from the melt. Our finding was rationalized by the mismatch between the optimal temperature range for the nucleation and crystal growth, as obtained for a modeled Lennard-Jones system with explicitly enhanced or weakened attractive part of the intermolecular 6–12 potential.
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19
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Jedrzejowska A, Ngai KL, Paluch M. Modifications of Structure and Intermolecular Potential of a Canonical Glassformer: Dynamics Changing with Dipole-Dipole Interaction. J Phys Chem A 2016; 120:8781-8785. [PMID: 27759381 DOI: 10.1021/acs.jpca.6b08128] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
By systematic modifications of the canonical propylene carbonate, a family of van der Waals glass-formers with similar chemical structures is generated for dielectric studies of the dynamics of the structural α-relaxation with the purpose of critically testing the correlation of dynamic properties with the dipole-dipole interaction contribution to the intermolecular potential. With the dielectric strengths at Tg varying over a vast range from 4.2 to 182, the modified propylene carbonates provide strong support of the correlation by themselves and in conjunction with 88 van der Waals glassformers previously considered ( Phys. Rev. Lett. 2016 , 116 , 025702 ).
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Affiliation(s)
- Agnieszka Jedrzejowska
- Institute of Physics, University of Silesia , Uniwersytecka 4, 40-007 Katowice, Poland.,Silesian Center for Education and Interdisciplinary Research , 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
| | - K L Ngai
- CNR-IPCF, Dipartimento di Fisica, Università di Pisa , Largo B. Pontecorvo 3, I-56127, Pisa, Italy
| | - M Paluch
- Institute of Physics, University of Silesia , Uniwersytecka 4, 40-007 Katowice, Poland.,Silesian Center for Education and Interdisciplinary Research , 75 Pulku Piechoty 1, 41-500 Chorzow, Poland
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20
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Gupta S, Fischer JKH, Lunkenheimer P, Loidl A, Novak E, Jalarvo N, Ohl M. Effect of adding nanometre-sized heterogeneities on the structural dynamics and the excess wing of a molecular glass former. Sci Rep 2016; 6:35034. [PMID: 27725747 PMCID: PMC5057163 DOI: 10.1038/srep35034] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/16/2016] [Accepted: 09/21/2016] [Indexed: 11/17/2022] Open
Abstract
We present the relaxation dynamics of glass-forming glycerol mixed with 1.1 nm sized polyhedral oligomeric silsesquioxane (POSS) molecules using dielectric spectroscopy (DS) and two different neutron scattering (NS) techniques. Both, the reorientational dynamics as measured by DS and the density fluctuations detected by NS reveal a broadening of the α relaxation when POSS molecules are added. Moreover, we find a significant slowing down of the α-relaxation time. These effects are in accord with the heterogeneity scenario considered for the dynamics of glasses and supercooled liquids. The addition of POSS also affects the excess wing in glycerol arising from a secondary relaxation process, which seems to exhibit a dramatic increase in relative strength compared to the α relaxation.
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Affiliation(s)
- S Gupta
- Juelich Centre for Neutron science (JCNS) outstation at SNS, POB 2008, 1 Bethel Valley Road, TN 37831, Oak Ridge, USA.,Biology and Soft Matter Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), POB 2008, 1 Bethel Valley Road, TN 37831, Oak Ridge, USA.,Department of Chemistry and Macromolecular Studies Group, Louisiana State University, Baton Rouge, LA 70803, USA
| | - J K H Fischer
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86135 Augsburg, Germany
| | - P Lunkenheimer
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86135 Augsburg, Germany
| | - A Loidl
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86135 Augsburg, Germany
| | - E Novak
- Department of Materials Science and Engineering, University of Tennessee, Knoxville, TN 37996, USA
| | - N Jalarvo
- Juelich Centre for Neutron science (JCNS) outstation at SNS, POB 2008, 1 Bethel Valley Road, TN 37831, Oak Ridge, USA.,Chemical and Engineering Materials Division, Oak Ridge National Laboratory (ORNL), PO BOX 2008 MS6473, TN 37831, Oak Ridge, USA
| | - M Ohl
- Juelich Centre for Neutron science (JCNS) outstation at SNS, POB 2008, 1 Bethel Valley Road, TN 37831, Oak Ridge, USA.,Biology and Soft Matter Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), POB 2008, 1 Bethel Valley Road, TN 37831, Oak Ridge, USA
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21
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Fabini DH, Labram JG, Lehner AJ, Bechtel JS, Evans HA, Van der Ven A, Wudl F, Chabinyc ML, Seshadri R. Main-Group Halide Semiconductors Derived from Perovskite: Distinguishing Chemical, Structural, and Electronic Aspects. Inorg Chem 2016; 56:11-25. [DOI: 10.1021/acs.inorgchem.6b01539] [Citation(s) in RCA: 39] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Affiliation(s)
| | | | - Anna J. Lehner
- Institute for Applied Materials, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
- Fraunhofer-Institut für Werkstoffmechanik, 79108 Freiburg, Germany
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22
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Danilov IV, Gromnitskaya EL, Brazhkin VV. Vivid Manifestation of Nonergodicity in Glassy Propylene Carbonate at High Pressures. J Phys Chem B 2016; 120:7593-7. [PMID: 27399845 DOI: 10.1021/acs.jpcb.6b05188] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
As glasses are nonergodic systems, their properties should depend not only on external macroparameters, such as P and T, but also on the time of observation and thermobaric history. In this work, comparative ultrasonic studies of two groups of molecular propylene carbonate glasses obtained by quenching from a liquid at pressures of 0.1 and 1 GPa have been performed. Although the difference in the densities of the different groups of glasses is small (3-5%), they have significantly different elastic properties: the difference in the respective bulk moduli is 10-20%, and the difference in the respective shear moduli is 35-40% (!). This is due to the "closure of nanopores" in the glass obtained at 1 GPa. The pressure and temperature derivatives of the elastic moduli for these groups of glasses are also noticeably different. The glass-transition temperatures of glasses from different groups differ by 3-4 K. The character of absorption of ultrasound waves near the glass-transition temperature also differs for different groups of glasses. The differences in the behaviors of these groups of glasses disappear gradually above the glass-transition temperature, in the region of a liquid phase. Glasses with a wide diversity of physical properties can be obtained using various paths on the (T,P) diagram.
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Affiliation(s)
- Igor V Danilov
- Institute for High Pressure Physics, Russian Academy of Sciences , Troitsk, Moscow 142190, Russia.,Moscow Institute of Physics and Technology , Dolgoprudny, Moscow Region 141700, Russia
| | - Elena L Gromnitskaya
- Institute for High Pressure Physics, Russian Academy of Sciences , Troitsk, Moscow 142190, Russia
| | - Vadim V Brazhkin
- Institute for High Pressure Physics, Russian Academy of Sciences , Troitsk, Moscow 142190, Russia
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23
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Gupta S, Mamontov E, Jalarvo N, Stingaciu L, Ohl M. Characteristic length scales of the secondary relaxations in glass-forming glycerol. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2016; 39:40. [PMID: 27021657 DOI: 10.1140/epje/i2016-16040-7] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2015] [Accepted: 02/26/2016] [Indexed: 06/05/2023]
Abstract
We investigate the secondary relaxations and their link to the main structural relaxation in glass-forming liquids using glycerol as a model system. We analyze the incoherent neutron scattering signal dependence on the scattering momentum transfer, Q , in order to obtain the characteristic length scale for different secondary relaxations. Such a capability of neutron scattering makes it somewhat unique and highly complementary to the traditional techniques of glass physics, such as light scattering and broadband dielectric spectroscopy, which provide information on the time scale, but not the length scales, of relaxation processes. The choice of suitable neutron scattering techniques depends on the time scale of the relaxation of interest. We use neutron backscattering to identify the characteristic length scale of 0.7 Å for the faster secondary relaxation described in the framework of the mode-coupling theory (MCT). Neutron spin-echo is employed to probe the slower secondary relaxation of the excess wing type at a low temperature ( ∼ 1.13T g . The characteristic length scale for this excess wing dynamics is approximately 4.7 Å. Besides the Q -dependence, the direct coupling of neutron scattering signal to density fluctuation makes this technique indispensable for measuring the length scale of the microscopic relaxation dynamics.
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Affiliation(s)
- S Gupta
- JCNS-SNS, Biology and Soft-matter Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), Bethel Valley Road, PO BOX 2008 MS6473, 37831, Oak Ridge, TN, USA.
| | - E Mamontov
- Chemical and Engineering Materials Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), PO BOX 2008 MS6473, 37831-6473, Oak Ridge, TN, USA
| | - N Jalarvo
- JCNS-SNS, Biology and Soft-matter Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), Bethel Valley Road, PO BOX 2008 MS6473, 37831, Oak Ridge, TN, USA
- Chemical and Engineering Materials Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), PO BOX 2008 MS6473, 37831-6473, Oak Ridge, TN, USA
| | - L Stingaciu
- JCNS-SNS, Biology and Soft-matter Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), Bethel Valley Road, PO BOX 2008 MS6473, 37831, Oak Ridge, TN, USA
| | - M Ohl
- JCNS-SNS, Biology and Soft-matter Division, Neutron Sciences Directorate, Oak Ridge National Laboratory (ORNL), Bethel Valley Road, PO BOX 2008 MS6473, 37831, Oak Ridge, TN, USA
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24
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Abstract
The crossover from back-and-forth jumps between structural minima to the no-return jumps of the viscous flow is modeled in terms of an ensemble of double-well potentials with a finite decay probability. The ensemble is characterized by the Kohlrausch-exponent β of the time dependence t(β) of the response at short times. The model is applied to shear and dielectric data from the literature.
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Affiliation(s)
- U Buchenau
- Jülich Center for Neutron Science, Forschungszentrum Jülich, Postfach 1913, D-52425 Jülich, Federal Republic of Germany
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25
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Fabini DH, Hogan T, Evans HA, Stoumpos CC, Kanatzidis MG, Seshadri R. Dielectric and Thermodynamic Signatures of Low-Temperature Glassy Dynamics in the Hybrid Perovskites CH3NH3PbI3 and HC(NH2)2PbI3. J Phys Chem Lett 2016; 7:376-81. [PMID: 26763606 DOI: 10.1021/acs.jpclett.5b02821] [Citation(s) in RCA: 50] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
Hybrid main group halide perovskites hold great technological promise in optoelectronic applications and present rich and complex evolution of structure and dynamics. Here we present low-temperature dielectric measurements and calorimetry of APbI3 [A = CH3NH3(+), HC(NH2)2(+)] that suggest glassy behavior on cooling. In both compounds, the dielectric loss displays frequency-dependent peaks below 100 K characteristic of a glassy slowing of relaxation dynamics, with HC(NH2)2PbI3 exhibiting greater glass fragility. Consistent with quenched disorder, the low-temperature heat capacity of both perovskites deviates substantially from the ∼T(3) acoustic phonon contribution predicted by the Debye model. We suggest that static disorder of the A-site molecular cation, potentially coupled to local distortions of the Pb-I sublattice, is responsible for these phenomena. The distinct low-temperature dynamics observed in these two perovskites suggest qualitative differences in the interaction between the molecular cation and the surrounding inorganic framework, with potential implications for defect screening and device performance at ambient temperatures.
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Affiliation(s)
- Douglas H Fabini
- Materials Research Laboratory, University of California , Santa Barbara, California 93106, United States
- Materials Department, University of California , Santa Barbara, California 93106, United States
| | - Tom Hogan
- Materials Department, University of California , Santa Barbara, California 93106, United States
- Department of Physics, Boston College , Chestnut Hill, Massachusetts 02467, United States
| | - Hayden A Evans
- Materials Research Laboratory, University of California , Santa Barbara, California 93106, United States
- Department of Chemistry and Biochemistry, University of California , Santa Barbara, California 93106, United States
| | - Constantinos C Stoumpos
- Department of Chemistry and Argonne-Northwestern Solar Energy Research (ANSER) Center, Northwestern University , Evanston, Illinois 60208, United States
| | - Mercouri G Kanatzidis
- Department of Chemistry and Argonne-Northwestern Solar Energy Research (ANSER) Center, Northwestern University , Evanston, Illinois 60208, United States
| | - Ram Seshadri
- Materials Research Laboratory, University of California , Santa Barbara, California 93106, United States
- Materials Department, University of California , Santa Barbara, California 93106, United States
- Department of Chemistry and Biochemistry, University of California , Santa Barbara, California 93106, United States
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26
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Gao Y, Chen Z, Tu W, Li X, Tian Y, Liu R, Wang LM. Anomaly in dielectric relaxation dispersion of glass-forming alkoxy alcohols. J Chem Phys 2015; 142:214505. [DOI: 10.1063/1.4921941] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Affiliation(s)
- Yanqin Gao
- State Key Lab of Metastable Materials Science and Technology, and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
- Department of Physics, School of Science, North University of China, Taiyuan, Shanxi 030051, China
| | - Zeming Chen
- State Key Lab of Metastable Materials Science and Technology, and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
| | - Wenkang Tu
- State Key Lab of Metastable Materials Science and Technology, and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
| | - Xiangqian Li
- State Key Lab of Metastable Materials Science and Technology, and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
| | - Yongjun Tian
- State Key Lab of Metastable Materials Science and Technology, and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
| | - Riping Liu
- State Key Lab of Metastable Materials Science and Technology, and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
| | - Li-Min Wang
- State Key Lab of Metastable Materials Science and Technology, and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China
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27
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Fragiadakis D, Roland CM. Rotational dynamics of simple asymmetric molecules. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:022310. [PMID: 25768508 DOI: 10.1103/physreve.91.022310] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/11/2014] [Indexed: 06/04/2023]
Abstract
Molecular dynamic simulations were carried out on rigid diatomic molecules, which exhibit both α (structural) and β (secondary) dynamics. The relaxation scenarios range from onset behavior, in which a distinct α process emerges on cooling, to merging behavior, associated with two relaxation peaks that converge at higher temperature. These properties, as well as the manifestation of the β peak as an excess wing, depend not only on thermodynamic conditions, but also on both the symmetry of the molecule and the correlation function (odd or even) used to analyze its dynamics. These observations help to reconcile divergent results obtained from different experiments. For example, the β process is more intense and the α-relaxation peak is narrower in dielectric relaxation spectra than in dynamic light scattering or NMR measurements. In the simulations herein, this follows from the weaker contribution of the secondary relaxation to even-order correlation functions, related to the magnitude of the relevant angular jumps.
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Affiliation(s)
- D Fragiadakis
- Naval Research Laboratory, Chemistry Division, Code 6120, Washington DC 20375-5342, USA
| | - C M Roland
- Naval Research Laboratory, Chemistry Division, Code 6120, Washington DC 20375-5342, USA
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28
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Gupta S, Arend N, Lunkenheimer P, Loidl A, Stingaciu L, Jalarvo N, Mamontov E, Ohl M. Excess wing in glass-forming glycerol and LiCl-glycerol mixtures detected by neutron scattering. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2015; 38:1. [PMID: 25612850 DOI: 10.1140/epje/i2015-15001-0] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/31/2014] [Revised: 10/22/2014] [Accepted: 12/02/2014] [Indexed: 06/04/2023]
Abstract
The relaxational dynamics in glass-forming glycerol and glycerol mixed with LiCl is investigated using different neutron scattering techniques. The performed neutron spin echo experiments, which extend up to relatively long relaxation time scales of the order of 10 ns, should allow for the detection of contributions from the so-called excess wing. This phenomenon, whose microscopic origin is controversially discussed, arises in a variety of glass formers and, until now, was almost exclusively investigated by dielectric spectroscopy and light scattering. Here we show that the relaxational process causing the excess wing can also be detected by neutron scattering, which directly couples to density fluctuations.
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Affiliation(s)
- S Gupta
- Jülich Centre for Neutron Science JCNS, Forschungszentrum Jülich GmbH, Outstation at SNS-Oak Ridge National Laboratory (ORNL), 1 Bethel Valley Road, 37831, Oak Ridge, TN, USA,
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29
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Richert R. Supercooled Liquids and Glasses by Dielectric Relaxation Spectroscopy. ADVANCES IN CHEMICAL PHYSICS 2014. [DOI: 10.1002/9781118949702.ch4] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/03/2022]
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30
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Ngai KL, Habasaki J. An alternative explanation of the change in T-dependence of the effective Debye-Waller factor at Tc or TB. J Chem Phys 2014; 141:114502. [DOI: 10.1063/1.4895554] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Affiliation(s)
- K. L. Ngai
- Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy
- CNR-IPCF, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
| | - J. Habasaki
- Tokyo Institute of Technology, Yokohama 226-8502, Japan
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31
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Liu G, Zuo Y, Lin J, Zhao D. Study on enthalpy relaxation of glassy polystyrene using a structure-dependent Kohlrausch stretch exponent combined with coupling model. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2014; 37:20. [PMID: 25052065 DOI: 10.1140/epje/i2014-14063-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/23/2013] [Revised: 03/24/2014] [Accepted: 06/17/2014] [Indexed: 06/03/2023]
Abstract
In this paper the enthalpy relaxation of polystyrene (PS) was restudied using a structure-dependent Kohlrausch stretch exponent β with incorporation of a coupling model (CM). The structure dependence of β is described in 3 semi-phenomenological equations. The temperature and structure dependence of the relaxation time of the Johari-Goldstein (JG) relaxation (τ JG) is presented using the traditional Tools-Narayanaswamy-Moynihan (TNM) and Adam-Gibbs-Vogel (AGV) equations. The fitting results of heat capacity data are much better than the conventional TNM and Adam-Gibbs (AG) models when the structure dependence of β is described using an exponential equation and τ JG is calculated using the AGV equation, although there are one fewer fitting parameters in the new model. The results indicate that both the structure dependence of β and the CM model may play considerable roles in the investigation on the structure relaxation process in polymers around the glass transition.
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Affiliation(s)
- Guodong Liu
- Institute of Polymer Science and Engineering, Hebei University of Technology, 300130, Tianjin, China,
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32
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Gunasekera K, Bhosle S, Boolchand P, Micoulaut M. Superstrong nature of covalently bonded glass-forming liquids at select compositions. J Chem Phys 2013; 139:164511. [DOI: 10.1063/1.4826463] [Citation(s) in RCA: 46] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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33
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34
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Khamzin AA, Popov II, Nigmatullin RR. The influence of the secondary relaxation processes on the structural relaxation in glass-forming materials. J Chem Phys 2013; 138:244502. [DOI: 10.1063/1.4811663] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Lunkenheimer P, Schneider U, Brand R, Loidl A. Festkörperphysik: Relaxationsdynamik in Gläsern: Der Übergang von der niederviskosen Flüssigkeit zum starren Glas ist eines der großen ungelösten Probleme der Physik. ACTA ACUST UNITED AC 2013. [DOI: 10.1002/phbl.20000560609] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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36
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Syutkin VM, Vyazovkin VL, Korolev VV, Grebenkin SY. Length and time scales of structural heterogeneities in deeply supercooled propylene carbonate. PHYSICAL REVIEW LETTERS 2012; 109:137801. [PMID: 23030120 DOI: 10.1103/physrevlett.109.137801] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2012] [Indexed: 06/01/2023]
Abstract
Deactivation of excited phenanthrene by molecular oxygen is utilized to probe the structural heterogeneity of supercooled propylene carbonate. The diffusion rate of oxygen molecules in different regions varies over two orders of magnitude. The size of the regions of different oxygen mobility was determined to be 1.5 nm. Values from 0.2 to 30 s have been obtained for the lifetime of these regions over a temperature range from T(g)-1 to T(g)+4 K (T(g)=158 K). The heterogeneity lifetime is in close agreement with the α-relaxation time determined by dielectric spectroscopy. The obtained results argue in favor of the statement that the heterogeneous cooperative dynamics of host molecules (so-called dynamical heterogeneity) is of structural origin.
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Affiliation(s)
- V M Syutkin
- Institute of Chemical Kinetics and Combustion, Novosibirsk 630090, Russian Federation.
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37
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Kondrin MV, Gromnitskaya EL, Pronin AA, Lyapin AG, Brazhkin VV, Volkov AA. Dielectric spectroscopy and ultrasonic study of propylene carbonate under ultra-high pressures. J Chem Phys 2012; 137:084502. [DOI: 10.1063/1.4746022] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023] Open
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38
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Huang W, Richert R. Response to “Comment on ‘Dynamics of glass-forming liquids. XIII. Microwave heating in slow motion'” [J. Chem. Phys. 137, 027101 (2012)]. J Chem Phys 2012. [DOI: 10.1063/1.4732084] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Johari GP. Comment on “Dynamics of glass-forming liquids. XIII. Microwave heating in slow motion” [J. Chem. Phys. 130, 194509 (2009)]. J Chem Phys 2012; 137:027101; author reply 027102. [DOI: 10.1063/1.4732080] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Bartoš J, Iskrová-Miklošovičová M, Cangialosi D, Alegría A, Šauša O, Švajdlenková H, Arbe A, Krištiak J, Colmenero J. Positron annihilation and relaxation dynamics from dielectric spectroscopy: poly(vinylmethylether). JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:155104. [PMID: 22436554 DOI: 10.1088/0953-8984/24/15/155104] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We report on the temperature dependence of the lifetime of the ortho-positronium (o-Ps), τ(3), annihilation in amorphous polymer poly(vinylmethylether) (PVME) from positron annihilation lifetime spectroscopy (PALS). We show that the behavior of τ(3)(T) can be divided into five regions, each of them having a linear temperature dependence, and that the crossover PALS temperatures situated at T(b1)(G), 0.76T(g)(PALS), T(b1)(L) = 1.14T(g)(PALS) and T(b2)(L) = 1.37T(G)(PALS), and marking the discontinuity in the free volume microstructure are related to various dynamic features from neutron scattering (NS) and broadband dielectric spectroscopy (BDS). First, a slight change in the PALS response in the glassy PVME at T(b1)(G) is related to the onset of the excess wing in an apparent correspondence with the fast secondary β motion from NS. A further slight bend in the liquid state at T(b1)(L) is related to a high-frequency tail of the primary α process as well as to the slow secondary β relaxation from BDS. In addition, it lies also in the vicinity of the crossover temperature, T(B)(βKWW), in the spectral dispersion of the primary α process, indicating a connection of the change in the o-Ps lifetime with the variation in the width of the primary α relaxation times distribution. Finally, the τ(3) value at T(b2)(L) is close to the mean relaxation time of the primary α process, τ(α), in coincidence with the crossover in the secondary effective β process between two regimes in the liquid PVME. All these relationships point to very close connections between the PALS response and the dynamic behavior of PVME, which can be explained in terms of the temperature dependence of the probability function of the liquid-like and the solid-like domains, as obtained from the two-order parameter (TOP) model description of the liquid to glass transition in glass-formers.
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Affiliation(s)
- J Bartoš
- Polymer Institute of SAS, Dúbravská cesta 9, SK-845 41 Bratislava, Slovak Republic.
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Brodin A, Jacobsson P. Dipolar interaction and molecular ordering in liquid propylene carbonate: Anomalous dielectric susceptibility and Raman non-coincidence effect. J Mol Liq 2011. [DOI: 10.1016/j.molliq.2011.08.001] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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42
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Capaccioli S, Ngai KL. Resolving the controversy on the glass transition temperature of water? J Chem Phys 2011; 135:104504. [DOI: 10.1063/1.3633242] [Citation(s) in RCA: 82] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Bartoš J, Iskrová M, Köhler M, Wehn R, Sauša O, Lunkenheimer P, Krištiak J, Loidl A. Positron annihilation response and broadband dielectric spectroscopy: salol. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2011; 34:104. [PMID: 21947898 DOI: 10.1140/epje/i2011-11104-x] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/21/2011] [Revised: 06/14/2011] [Accepted: 07/21/2011] [Indexed: 05/31/2023]
Abstract
A phenomenological analysis of the ortho-positronium (o-Ps) annihilation from positron annihilation lifetime spectroscopy (PALS) and the dynamics from broadband dielectric spectroscopy (BDS) are reported on a small molecular glass former of intermediate H-bonding and fragility: salol. The dielectric spectra extend over a very broad frequency range of about 2 × 10(-2)-3.5 × 10(11) Hz, providing information on the α-relaxation, the secondary relaxation giving rise to the excess wing, and the shallow high-frequency minimum in the micro- to milli-meter wave range. A number of empirical correlations between the o-Ps lifetime, τ(3)(T), and the various spectral and relaxation features have been observed. Thus, the phenomenological evaluation of the τ(3)(T) dependence of the PALS response of the amorphous sample reveals three characteristic PALS temperatures: T(g)(PALS), T(b1)(L) = 1.15T(g)(PALS) and T(b2)(L) = 1.25T(g)(PALS), which are discussed in relation to similar findings for some typical small molecular vdW- and H-bonded glass formers. A slighter change of the slope at T(b1)(L) appears to be related to the transition from excess wing to the primary α-process-dominated behavior, with the secondary process dominating in the deeply supercooled liquid state below T(b1)(L). The high-temperature plateau effect in the τ (3)(T) plot occurs at T(b2)(L) and agrees with the characteristic Stickel temperature, T(B)(ST), marking a qualitative change of the primary α process, but it does not follow the relation T(b2)(L) < T(α) [τ(3)(T(b2)) < τ(α)]. Both effects at T(b1)(L) and T(b2)(L) correlate with two crossovers in the spectral shape and related non-exponentiality parameter of the structural relaxation, β (KWW). Finally, the application of the two-order parameter (TOP) model to the structural relaxation as represented by the primary α relaxation times from BDS leads to the characteristic TOP temperature, T(m)(c), close to T(b1) from PALS. Within this model the phenomenological interpretation is offered based on changes in the probability of occurrence of solid-like and liquid-like domains to explain the dynamic as well as PALS responses. In summary, all the empirical correlations support further very close connections between the PALS response and the dielectric relaxation behavior in small molecule glass formers.
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Affiliation(s)
- J Bartoš
- Polymer Institute of SAS, Dúbravská cesta 9, SK - 845 41 Bratislava, Slovak Republic.
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Domschke M, Marsilius M, Blochowicz T, Voigtmann T. Glassy relaxation and excess wing in mode-coupling theory: the dynamic susceptibility of propylene carbonate above and below T(c). PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:031506. [PMID: 22060378 DOI: 10.1103/physreve.84.031506] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/08/2011] [Indexed: 05/31/2023]
Abstract
We explore the possibility of describing experimental susceptibility spectra of the glass former propylene carbonate with a two-component schematic model of mode-coupling theory (MCT) from above the melting point down to temperatures far below the critical temperature of MCT. By introducing a phenomenological time-dependent hopping rate, the spectra are reproduced in the full frequency and temperature range available. Literature data of dielectric susceptibilities and depolarized Brillouin light-scattering spectra are combined with our measurements of photon correlation spectroscopy to cover up to 18 decades in frequency of spectra for two different dynamical variables. A consistent description of all data sets is obtained by adjusting only a few physically motivated parameters. In particular the excess wing or slow β-relaxation commonly observed in the susceptibility spectra can consistently be modeled as originating from a coupling of the individual experimental probe correlator to the collective density fluctuations.
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Affiliation(s)
- Markus Domschke
- Institut für Festkörperphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
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45
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Pawlus S, Mierzwa M, Paluch M, Rzoska SJ, Roland CM. Dielectric and mechanical relaxation in isooctylcyanobiphenyl (8*OCB). JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2010; 22:235101. [PMID: 21393760 DOI: 10.1088/0953-8984/22/23/235101] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The dynamics of isooctylcyanobiphenyl (8*OCB) was characterized using dielectric and mechanical spectroscopies. This isomer of the liquid crystalline octylcyanobiphenyl (8OCB) vitrifies during cooling or on application of pressure, exhibiting the typical features of glass-forming liquids: non-Debye relaxation function, non-Arrhenius temperature dependence of the relaxation times, τ(α), a dynamic crossover at T ∼ 1.6T(g). This crossover is evidenced by changes in the behavior of both the peak shape and the temperature dependence of τ(α). The primary relaxation time at the crossover, 2 ns at ambient pressure, is the smallest value reported to date for any molecular liquid or polymer. Interestingly, at all temperatures below this crossover, τ(α) and the dc conductivity remain coupled (i.e., conform to the Debye-Stokes-Einstein relation). Two secondary relaxations are observed in the glassy state, one of which is identified as the Johari-Goldstein process. Unlike the case for 8OCB, no liquid crystalline phase could be attained for 8*OCB, demonstrating that relatively small differences in chemical structure can effect substantial changes in the intermolecular potential.
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Affiliation(s)
- S Pawlus
- Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
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Mierzwa M, Pawlus S, Paluch M, Zioło J, Szulc A. Note: New feedthrough insulation method for the dielectric spectroscopy under ultrahigh pressure conditions. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2010; 81:066101. [PMID: 20590272 DOI: 10.1063/1.3436465] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
We present a new technique to prepare insulated channels for the high pressure cell used in broadband dielectric spectroscopy. The cell resists corrosion or other chemical reactions from the reactive sample liquids. The cell maintains electrical insulation between electrode contacts better than 100 GOmega as well as good mechanical properties in broad temperature range of -80 to +100 degrees C and under extremely high pressures up to 1.8 GPa.
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Affiliation(s)
- Michal Mierzwa
- Institute of Physics, University of Silesia, Uniwersytecka 4, Katowice 40-007, Poland.
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47
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Lunkenheimer P, Kastner S, Köhler M, Loidl A. Temperature development of glassy α-relaxation dynamics determined by broadband dielectric spectroscopy. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:051504. [PMID: 20866232 DOI: 10.1103/physreve.81.051504] [Citation(s) in RCA: 58] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/27/2010] [Indexed: 05/29/2023]
Abstract
We present the temperature dependence of α -relaxation times of 13 glass formers determined from broadband dielectric spectroscopy, also including data from aging measurements. The data sets partly cover relaxation-time ranges of up to 16 decades enabling a critical test of the validity of model predictions. For this purpose, the data are provided for electronic download. Here we employ these results to test the applicability of the Vogel-Fulcher-Tammann equation and a recently proposed new approach that was demonstrated to provide superior fits of a vast collection of viscosity data.
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Affiliation(s)
- P Lunkenheimer
- Experimental Physics V, Center for Electronic Correlations and Magnetism, University of Augsburg, 86135 Augsburg, Germany.
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Lunkenheimer P, Brand R, Schneider U, Loidl A. Excess wing and high frequency dynamics in plastic crystals. ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642819908223081] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- P. Lunkenheimer
- a Experimentalphysik V , Universität Augsburg , D-86135, Augsburg , Germany
| | - R. Brand
- a Experimentalphysik V , Universität Augsburg , D-86135, Augsburg , Germany
| | - U. Schneider
- a Experimentalphysik V , Universität Augsburg , D-86135, Augsburg , Germany
| | - A. Loidl
- a Experimentalphysik V , Universität Augsburg , D-86135, Augsburg , Germany
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Prevosto D, Bartolini P, Torre R, Capaccioli S, Ricci M, Taschin A, Pisignano D, Lucchesi M. Structural relaxation process in glass-forming liquids: A comparison between the optical Kerr effect and dielectric spectroscopy. ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642810208223144] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- D. Prevosto
- a Dipartimento di Fisica and Istituto Nazionale per la Fisica della Materia (Unità di Pisa) , Università di Pisa , Via F. Buonarroti, 56127 , Pisa , Italy
| | - P. Bartolini
- b European Laboratory for Nonlinear Spectroscopy , Università di Firenze, Largo E. Fermi 2 , 1-50125 , Firenze , Italy
- c Istituto Nazionale per la Fisica della Materia (Unità di Firenze), Largo E. Fermi 2 , 1-50125 , Firenze , Italy
| | - R. Torre
- b European Laboratory for Nonlinear Spectroscopy , Università di Firenze, Largo E. Fermi 2 , 1-50125 , Firenze , Italy
- c Istituto Nazionale per la Fisica della Materia (Unità di Firenze), Largo E. Fermi 2 , 1-50125 , Firenze , Italy
| | - S. Capaccioli
- a Dipartimento di Fisica and Istituto Nazionale per la Fisica della Materia (Unità di Pisa) , Università di Pisa , Via F. Buonarroti, 56127 , Pisa , Italy
| | - M. Ricci
- a Dipartimento di Fisica and Istituto Nazionale per la Fisica della Materia (Unità di Pisa) , Università di Pisa , Via F. Buonarroti, 56127 , Pisa , Italy
- d Dipartimento di Chimica Fisica , Università della Basilicata and Istituto Nazionale per la Fisica della Materia (Unità di Napoli) , Italy
| | - A. Taschin
- b European Laboratory for Nonlinear Spectroscopy , Università di Firenze, Largo E. Fermi 2 , 1-50125 , Firenze , Italy
- c Istituto Nazionale per la Fisica della Materia (Unità di Firenze), Largo E. Fermi 2 , 1-50125 , Firenze , Italy
- e Dipartimento di Fisica , Università di Firenze , Largo E. Fermi 2, 1-50125 , Firenze , Italy
| | - D. Pisignano
- a Dipartimento di Fisica and Istituto Nazionale per la Fisica della Materia (Unità di Pisa) , Università di Pisa , Via F. Buonarroti, 56127 , Pisa , Italy
| | - M. Lucchesi
- a Dipartimento di Fisica and Istituto Nazionale per la Fisica della Materia (Unità di Pisa) , Università di Pisa , Via F. Buonarroti, 56127 , Pisa , Italy
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Cangialosi D, Alegría A, Colmenero J. On the temperature dependence of the nonexponentiality in glass-forming liquids. J Chem Phys 2009; 130:124902. [DOI: 10.1063/1.3098904] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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