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Moriel A, Kapteijns G, Rainone C, Zylberg J, Lerner E, Bouchbinder E. Wave attenuation in glasses: Rayleigh and generalized-Rayleigh scattering scaling. J Chem Phys 2019; 151:104503. [DOI: 10.1063/1.5111192] [Citation(s) in RCA: 37] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023] Open
Affiliation(s)
- Avraham Moriel
- Chemical and Biological Physics Department, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Geert Kapteijns
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - Corrado Rainone
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - Jacques Zylberg
- Chemical and Biological Physics Department, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Edan Lerner
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - Eran Bouchbinder
- Chemical and Biological Physics Department, Weizmann Institute of Science, Rehovot 7610001, Israel
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Abstract
With the ongoing proliferation of terahertz time-domain instrumentation from semiconductor physics into applied spectroscopy over the past decade, measurements at terahertz frequencies (1 THz ≡ 10(12) Hz ≡ 33 cm(-1)) have attracted a sustained growing interest, in particular the investigation of hydrogen-bonding interactions in organic materials. More recently, the availability of Raman spectrometers that are readily able to measure in the equivalent spectral region very close to the elastic scattering background has also grown significantly. This development has led to renewed efforts in performing spectroscopy at the interface between dielectric relaxation phenomena and vibrational spectroscopy. In this review, we briefly outline the underlying technology, the physical phenomena governing the light-matter interaction at terahertz frequencies, recent examples of spectroscopic studies, and the current state of the art in assigning spectral features to vibrational modes based on computational techniques.
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Affiliation(s)
- Edward P J Parrott
- Chinese University of Hong Kong, Department of Electronic Engineering, Shatin, New Territories, Hong Kong Sar, China
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Baldi G, Giordano VM, Ruta B, Dal Maschio R, Fontana A, Monaco G. Anharmonic damping of terahertz acoustic waves in a network glass and its effect on the density of vibrational states. Phys Rev Lett 2014; 112:125502. [PMID: 24724658 DOI: 10.1103/physrevlett.112.125502] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/06/2013] [Indexed: 06/03/2023]
Abstract
We report the observation, by means of high-resolution inelastic x-ray scattering, of an unusually large temperature dependence of the sound attenuation of a network glass at terahertz frequency, an unprecedentedly observed phenomenon. The anharmonicity can be ascribed to the interaction between the propagating acoustic wave and the bath of thermal vibrations. At low temperatures the sound attenuation follows a Rayleigh-Gans scattering law. As the temperature is increased the anharmonic process sets in, resulting in an almost quadratic frequency dependence of the damping in the entire frequency range. We show that the temperature variation of the sound damping accounts quantitatively for the temperature dependence of the density of vibrational states.
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Affiliation(s)
- G Baldi
- IMEM-CNR Institute, Parma Science Park, I-43124 Parma, Italy
| | - V M Giordano
- Institut Lumière Matière, UMR 5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne, France and SIMAP, UJF, CNRS, INP Grenoble, F-38402 St. Martin d'Heres, France
| | - B Ruta
- European Synchrotron Radiation Facility, BP220, F-38043 Grenoble, France
| | - R Dal Maschio
- Industrial Engineering Department, Trento University, I-38123 Trento, Italy
| | - A Fontana
- Physics Department, Trento University, I-38123 Povo, Trento, Italy and IPCF-CNR, UOS of Roma, c/o Roma University "La Sapienza," I-00185 Roma, Italy
| | - G Monaco
- Physics Department, Trento University, I-38123 Povo, Trento, Italy
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Marruzzo A, Schirmacher W, Fratalocchi A, Ruocco G. Heterogeneous shear elasticity of glasses: the origin of the boson peak. Sci Rep 2013; 3:1407. [PMID: 23470597 PMCID: PMC3591752 DOI: 10.1038/srep01407] [Citation(s) in RCA: 69] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2012] [Accepted: 02/19/2013] [Indexed: 11/09/2022] Open
Abstract
The local elasticity of glasses is known to be inhomogeneous on a microscopic scale compared to that of crystalline materials. Their vibrational spectrum strongly deviates from that expected from Debye's elasticity theory: The density of states deviates from Debye's law, the sound velocity shows a negative dispersion in the boson-peak frequency regime and there is a strong increase of the sound attenuation near the boson-peak frequency. By comparing a mean-field theory of shear-elastic heterogeneity with a large-scale simulation of a soft-sphere glass we demonstrate that the observed anomalies in glasses are caused by elastic heterogeneity. By observing that the macroscopic bulk modulus is frequency independent we show that the boson-peak-related vibrational anomalies are predominantly due to the spatially fluctuating microscopic shear stresses. It is demonstrated that the boson-peak arises from the steep increase of the sound attenuation at a frequency which marks the transition from wave-like excitations to disorder-dominated ones.
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Affiliation(s)
- Alessia Marruzzo
- Dipartimento di Fisica, Universitá di Roma La Sapienza, Roma, Italy
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Ruta B, Baldi G, Scarponi F, Fioretto D, Giordano VM, Monaco G. Acoustic excitations in glassy sorbitol and their relation with the fragility and the boson peak. J Chem Phys 2013; 137:214502. [PMID: 23231246 DOI: 10.1063/1.4768955] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We report a detailed analysis of the dynamic structure factor of glassy sorbitol by using inelastic X-ray scattering and previously measured light scattering data [B. Ruta, G. Monaco, F. Scarponi, and D. Fioretto, Philos. Mag. 88, 3939 (2008)]. The thus obtained knowledge on the density-density fluctuations at both the mesoscopic and macroscopic length scale has been used to address two debated topics concerning the vibrational properties of glasses. The relation between the acoustic modes and the universal boson peak (BP) appearing in the vibrational density of states of glasses has been investigated, also in relation with some recent theoretical models. Moreover, the connection between the elastic properties of glasses and the slowing down of the structural relaxation process in supercooled liquids has been scrutinized. For what concerns the first issue, it is here shown that the wave vector dependence of the acoustic excitations can be used, in sorbitol, to quantitatively reproduce the shape of the boson peak, supporting the relation between BP and acoustic modes. For what concerns the second issue, a proper study of elasticity over a wide spatial range is shown to be fundamental in order to investigate the relation between elastic properties and the slowing down of the dynamics in the corresponding supercooled liquid phase.
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Affiliation(s)
- B Ruta
- European Synchrotron Radiation Facility, BP220, F-38043 Grenoble, France.
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Baldi G, Zanatta M, Gilioli E, Milman V, Refson K, Wehinger B, Winkler B, Fontana A, Monaco G. Emergence of crystal-like atomic dynamics in glasses at the nanometer scale. Phys Rev Lett 2013; 110:185503. [PMID: 23683216 DOI: 10.1103/physrevlett.110.185503] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/12/2012] [Indexed: 06/02/2023]
Abstract
The vibrational dynamics of a permanently densified silica glass is compared to the one of an α-quartz polycrystal, the silica polymorph of the same density and local structure. The combined use of inelastic x-ray scattering experiments and ab initio numerical calculations provides compelling evidence of a transition, in the glass, from the isotropic elastic response at long wavelengths to a microscopic regime as the wavelength decreases below a characteristic length ξ of a few nanometers, corresponding to about 20 interatomic distances. In the microscopic regime the glass vibrations closely resemble those of the polycrystal, with excitations related to the acoustic and optic modes of the crystal. A coherent description of the experimental results is obtained assuming that the elastic modulus of the glass presents spatial heterogeneities of an average size a ~ ξ/2 π.
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Affiliation(s)
- G Baldi
- CNR-IMEM Institute, Parma Science Park, I-43124 Parma, Italy.
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Kveder M, Merunka D, Ilakovac A, Rakvin B. A multi-frequency EPR spectroscopy approach in the detection of boson peak excitations. J Magn Reson 2011; 213:26-31. [PMID: 21940185 DOI: 10.1016/j.jmr.2011.08.029] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/21/2011] [Revised: 08/04/2011] [Accepted: 08/23/2011] [Indexed: 05/31/2023]
Abstract
The influence of boson peak (BP) excitations on low-temperature spin-lattice relaxation rate of a paramagnetic center embedded in a glassy matrix is investigated in the context of multi-frequency electron paramagnetic resonance (EPR) detection. In the theoretical analysis, the transition rate of spin one-half in the presence of a phonon field is calculated within the approximation of Fermi's golden rule. Several phonon densities of states are compared, among which one originating from a model of quasi-localized vibrations has been introduced into electron spin relaxation formalism for the first time. The respective frequency dependencies of spin-lattice relaxation rates are predicted which should lead to observable effects of BP modes if a multi-frequency study at very low temperatures is performed.
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Affiliation(s)
- Marina Kveder
- Ruđer Bošković Institute, Bijenička 54, 10000 Zagreb, Croatia.
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Ruta B, Monaco G, Giordano VM, Scarponi F, Fioretto D, Ruocco G, Andrikopoulos KS, Yannopoulos SN. Nonergodicity Factor, Fragility, and Elastic Properties of Polymeric Glassy Sulfur. J Phys Chem B 2011; 115:14052-63. [DOI: 10.1021/jp2037075] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- B. Ruta
- European Synchrotron Radiation Facility, BP220, F-38043, Grenoble, France
| | - G. Monaco
- European Synchrotron Radiation Facility, BP220, F-38043, Grenoble, France
| | - V. M. Giordano
- European Synchrotron Radiation Facility, BP220, F-38043, Grenoble, France
- LPMCN, Université Claude Bernard Lyon 1 and CNRS, 69622, Villeurbanne, France
| | - F. Scarponi
- CNR-IPCF, Rome University “La Sapienza”, Piazzale A. Moro 2, I-00185 Roma, Italy
- Department of Physics, Perugia University, Via A. Pascoli, I-06100 Perugia, Italy
| | - D. Fioretto
- CNR-IPCF, Rome University “La Sapienza”, Piazzale A. Moro 2, I-00185 Roma, Italy
- Department of Physics, Perugia University, Via A. Pascoli, I-06100 Perugia, Italy
| | - G. Ruocco
- CNR-IPCF, Rome University “La Sapienza”, Piazzale A. Moro 2, I-00185 Roma, Italy
- Department of Physics, Rome University “La Sapienza”, Piazzale A. Moro 2, I-00185 Roma, Italy
| | - K. S. Andrikopoulos
- Department of Applied Sciences, Technological Educational Institute of Thessaloniki, 57400 Sindos, Greece
- Foundation for Research and Technology Hellas, Institute of Chemical Engineering and High Temperature Chemical Processes (FORTH/ICE-HT), P.O. Box 1414, GR-26504 Patras, Greece
| | - S. N. Yannopoulos
- Foundation for Research and Technology Hellas, Institute of Chemical Engineering and High Temperature Chemical Processes (FORTH/ICE-HT), P.O. Box 1414, GR-26504 Patras, Greece
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Bruna P, Baldi G, Pineda E, Serrano J, Suck JB, Crespo D, Monaco G. Communication: Are metallic glasses different from other glasses? A closer look at their high frequency dynamics. J Chem Phys 2011; 135:101101. [DOI: 10.1063/1.3640002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Chumakov AI, Monaco G, Monaco A, Crichton WA, Bosak A, Rüffer R, Meyer A, Kargl F, Comez L, Fioretto D, Giefers H, Roitsch S, Wortmann G, Manghnani MH, Hushur A, Williams Q, Balogh J, Parliński K, Jochym P, Piekarz P. Equivalence of the boson peak in glasses to the transverse acoustic van Hove singularity in crystals. Phys Rev Lett 2011; 106:225501. [PMID: 21702612 DOI: 10.1103/physrevlett.106.225501] [Citation(s) in RCA: 55] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/16/2011] [Indexed: 05/31/2023]
Abstract
We compare the atomic dynamics of the glass to that of the relevant crystal. In the spectra of inelastic scattering, the boson peak of the glass appears higher than the transverse acoustic (TA) singularity of the crystal. However, the density of states shows that they have the same number of states. Increasing pressure causes the transformation of the boson peak of the glass towards the TA singularity of the crystal. Once corrected for the difference in the elastic medium, the boson peak matches the TA singularity in energy and height. This suggests the identical nature of the two features.
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Affiliation(s)
- A I Chumakov
- European Synchrotron Radiation Facility, Grenoble, France.
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Kveder M, Jokić M, Rakvin B. Fast motion in molecular solids at low temperatures: Evidence from a pulsed electron paramagnetic resonance study of nitroxyl radical relaxation. J Chem Phys 2011; 134:044531. [DOI: 10.1063/1.3533798] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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