1
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Novikov VN. Temperature dependence of spatial nanoheterogeneities of shear modulus in supercooled glycerol. J Chem Phys 2024; 161:054501. [PMID: 39087539 DOI: 10.1063/5.0215095] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2024] [Accepted: 07/15/2024] [Indexed: 08/02/2024] Open
Abstract
The boson peak in the terahertz vibrational spectrum carries information about nano-heterogeneities in the shear modulus in glass formers. Its evolution upon heating or cooling in a supercooled liquid state may shed light on the temperature dependence of heterogeneities. For this purpose, an analysis of the light scattering spectra of supercooled glycerol in the spectral range of the boson peak and fast relaxation was carried out and the parameters of the boson peak in the temperature range 180-330 K were determined. The temperature dependent frequency of the boson peak was then expressed in terms of the mean-square amplitude of the shear modulus fluctuations. This was done using the heterogeneous elasticity theory in combination with the perturbation theory on small fluctuations and Ioffe-Regel criterion for transverse vibrations in glass formers. The contribution of structural relaxation effects to phonon damping becomes significant with increasing temperature. It is shown here that structural relaxation largely determines the temperature dependence of the mean-square fluctuations of the shear modulus at high temperatures. By solving the inverse problem, the temperature dependence of shear modulus fluctuations was obtained. It shows a rapid decrease above ∼250 K with a linear extrapolation going to zero at the so-called Arrhenius temperature TA = 350 K. Comparison with literature data on the Landau-Placzek ratio shows that they have a similar temperature dependence at T < TA, which is explained by the appearance of nanometer scale spatial heterogeneities below TA. This is confirmed by the temperature dependence of the amplitude of the boson peak.
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Affiliation(s)
- V N Novikov
- Institute of Automation and Electrometry of the Russian Academy of Sciences, 1 Koptyug Ave., Novosibirsk 630090, Russia
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2
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Wu J, Lin Y, Shu M, Liu Y, Ma Y, Lin G, Zhang C, Jiao P, Zhu F, Wu Y, Ewings RA, Walker HC, Deng G, Chi S, Jiang S, Baggioli M, Jin M, Wang H, Xie W, Wei TR, Yang J, Shi X, Ma J. Uncovering the phonon spectra and lattice dynamics of plastically deformable InSe van der Waals crystals. Nat Commun 2024; 15:6248. [PMID: 39048583 PMCID: PMC11269642 DOI: 10.1038/s41467-024-50249-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/29/2023] [Accepted: 07/04/2024] [Indexed: 07/27/2024] Open
Abstract
Stacking two-dimensional (2D) van der Waals (vdW) materials in a layered bulk structure provides an appealing platform for the emergence of exotic physical properties. As a vdW crystal with exceptional plasticity, InSe offers the opportunity to explore various effects arising from the coupling of its peculiar mechanical behaviors and other physical properties. Here, we employ neutron scattering techniques to investigate the correlations of plastic interlayer slip, lattice anharmonicity, and thermal transport in InSe crystals. Not only are the interlayer slip direction and magnitude well captured by shifts in the Bragg reflections, but we also observe a deviation from the expected Debye behaviour in the heat capacity and lattice thermal conductivity. Combining the experimental data with first-principles calculations, we tentatively attribute the observed evidence of strong phonon-phonon interactions to a combination of a large acoustic-optical frequency resonance and a nesting effect. These findings correlate the macroscopic plastic slip and the microscopic lattice dynamics, providing insights into the mechano-thermo coupling and modulation in 2D vdW materials.
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Affiliation(s)
- Jiangtao Wu
- Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Yifei Lin
- Materials Genome Institute, Shanghai University, 99 Shangda Road, 200444, Shanghai, China
| | - Mingfang Shu
- Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Yifei Liu
- State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Yupeng Ma
- State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Gaoting Lin
- Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Cuiping Zhang
- Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Pengfei Jiao
- Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Fengfeng Zhu
- State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, 200050, Shanghai, China
| | - Yan Wu
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
| | - Russell A Ewings
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, OX11 0QX, United Kingdom
| | - Helen C Walker
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, OX11 0QX, United Kingdom
| | - Guochu Deng
- Australian Centre for Neutron Scattering, Australian Nuclear Science and Technology Organisation, Lucas Heights, NSW, Australia
| | - Songxue Chi
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
| | - Shengwei Jiang
- Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Matteo Baggioli
- Wilczek Quantum Center and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
| | - Min Jin
- College of Materials, Shanghai Dianji University, Shanghai, 201306, China
| | - Haozhe Wang
- Department of Chemistry, Michigan State University, East Lansing, MI, 48824, USA
| | - Weiwei Xie
- Department of Chemistry, Michigan State University, East Lansing, MI, 48824, USA
| | - Tian-Ran Wei
- State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China.
| | - Jiong Yang
- Materials Genome Institute, Shanghai University, 99 Shangda Road, 200444, Shanghai, China.
| | - Xun Shi
- State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
- State Key Laboratory of High Performance Ceramics and Superfine Microstructure, Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai, 200050, China
| | - Jie Ma
- Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China.
- Collaborative Innovation Center of Advanced Microstructures, 210093, Nanjing, Jiangsu, China.
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3
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Jiang C, Baggioli M, Douglas JF. Stringlet excitation model of the boson peak. J Chem Phys 2024; 160:214505. [PMID: 38832741 DOI: 10.1063/5.0210057] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2024] [Accepted: 05/20/2024] [Indexed: 06/05/2024] Open
Abstract
The boson peak (BP), a low-energy excess in the vibrational density of states over the Debye contribution, is often identified as a characteristic of amorphous solid materials. Despite decades of efforts, its microscopic origin still remains a mystery. Recently, it has been proposed, and corroborated with simulations, that the BP might stem from intrinsic localized modes involving one-dimensional (1D) string-like excitations ("stringlets"). We build on a theory originally proposed by Lund that describes the localized modes as 1D vibrating strings, but we specify the stringlet size distribution to be exponential, as observed in simulations. We provide an analytical prediction for the BP frequency ωBP in the temperature regime well below the observed glass transition temperature Tg. The prediction involves no free parameters and accords quantitatively with prior simulation observations in 2D and 3D model glasses based on inverse power law potentials. The comparison of the string model to observations is more uncertain when compared to simulations of an Al-Sm metallic glass material at temperatures well above Tg. Nonetheless, our stringlet model of the BP naturally reproduces the softening of the BP frequency upon heating and offers an analytical explanation for the experimentally observed scaling with the shear modulus in the glass state and changes in this scaling in simulations of glass-forming liquids. Finally, the theoretical analysis highlights the existence of a strong damping for the stringlet modes above Tg, which leads to a large low-frequency contribution to the 3D vibrational density of states, observed in both experiments and simulations.
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Affiliation(s)
- Cunyuan Jiang
- School of Physics and Astronomy, Shanghai Jiao Tong University, 200240 Shanghai, China
- Wilczek Quantum Center, Shanghai Jiao Tong University, 200240 Shanghai, China
- Shanghai Research Center for Quantum Sciences, 200240 Shanghai, China
| | - Matteo Baggioli
- School of Physics and Astronomy, Shanghai Jiao Tong University, 200240 Shanghai, China
- Wilczek Quantum Center, Shanghai Jiao Tong University, 200240 Shanghai, China
- Shanghai Research Center for Quantum Sciences, 200240 Shanghai, China
| | - Jack F Douglas
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
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4
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Schirmacher W, Paoluzzi M, Mocanu FC, Khomenko D, Szamel G, Zamponi F, Ruocco G. The nature of non-phononic excitations in disordered systems. Nat Commun 2024; 15:3107. [PMID: 38600083 PMCID: PMC11258284 DOI: 10.1038/s41467-024-46981-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2023] [Accepted: 03/18/2024] [Indexed: 04/12/2024] Open
Abstract
The frequency scaling exponent of low-frequency excitations in microscopically small glasses, which do not allow for the existence of waves (phonons), has been in the focus of the recent literature. The density of states g(ω) of these modes obeys an ωs scaling, where the exponent s, ranging between 2 and 5, depends on the quenching protocol. The orgin of these findings remains controversal. Here we show, using heterogeneous-elasticity theory, that in a marginally-stable glass sample g(ω) follows a Debye-like scaling (s = 2), and the associated excitations (type-I) are of random-matrix type. Further, using a generalisation of the theory, we demonstrate that in more stable samples, other, (type-II) excitations prevail, which are non-irrotational oscillations, associated with local frozen-in stresses. The corresponding frequency scaling exponent s is governed by the statistics of small values of the stresses and, therefore, depends on the details of the interaction potential.
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Affiliation(s)
- Walter Schirmacher
- Institut für Physik, Staudinger Weg 7, Universität Mainz, D-55099, Mainz, Germany.
- Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia, 291 Viale Regina Elena, I-00161, Roma, Italy.
| | - Matteo Paoluzzi
- Istituto per le Applicazioni del Calcolo del Consiglio Nazionale delle Ricerche, Via Pietro Castellino 111, 80131, Napoli, NA, Italy
- Departament de Física de la Matèria Condensada, Universitat de Barcelona, Carrer de Martí i Franquès 1, 08028, Barcelona, Spain
- Dipartimento di Fisica, Universita' di Roma "La Sapienza", P'le Aldo Moro 5, I-00185, Roma, Italy
| | - Felix Cosmin Mocanu
- Dept. of Materials, Univ. of Oxford, Parks Road, Oxford, OX13PH, UK
- Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité, Paris, France
| | - Dmytro Khomenko
- Dipartimento di Fisica, Universita' di Roma "La Sapienza", P'le Aldo Moro 5, I-00185, Roma, Italy
| | - Grzegorz Szamel
- Dept. of Chemistry, Colorado State University, Fort Collins, CO, 80523, USA
| | - Francesco Zamponi
- Dipartimento di Fisica, Universita' di Roma "La Sapienza", P'le Aldo Moro 5, I-00185, Roma, Italy
- Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité, Paris, France
| | - Giancarlo Ruocco
- Center for Life Nano Science @Sapienza, Istituto Italiano di Tecnologia, 291 Viale Regina Elena, I-00161, Roma, Italy.
- Dipartimento di Fisica, Universita' di Roma "La Sapienza", P'le Aldo Moro 5, I-00185, Roma, Italy.
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5
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Lerner E, Bouchbinder E. Boson-peak vibrational modes in glasses feature hybridized phononic and quasilocalized excitations. J Chem Phys 2023; 158:2890775. [PMID: 37191216 DOI: 10.1063/5.0147889] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2023] [Accepted: 04/30/2023] [Indexed: 05/17/2023] Open
Abstract
A hallmark of structural glasses and other disordered solids is the emergence of excess low-frequency vibrations on top of the Debye spectrum DDebye(ω) of phonons (ω denotes the vibrational frequency), which exist in any solid whose Hamiltonian is translationally invariant. These excess vibrations-a signature of which is a THz peak in the reduced density of states D(ω)/DDebye(ω), known as the boson peak-have resisted a complete theoretical understanding for decades. Here, we provide direct numerical evidence that vibrations near the boson peak consist of hybridizations of phonons with many quasilocalized excitations; the latter have recently been shown to generically populate the low-frequency tail of the vibrational spectra of structural glasses quenched from a melt and of disordered crystals. Our results suggest that quasilocalized excitations exist up to and in the vicinity of the boson-peak frequency and, hence, constitute the fundamental building blocks of the excess vibrational modes in glasses.
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Affiliation(s)
- Edan Lerner
- Institute of 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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6
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Cassetta M, Giannetta B, Enrichi F, Zaccone C, Mariotto G, Giarola M, Nodari L, Zanatta M, Daldosso N. Effect of the alkali vs iron ratio on glass transition temperature and vibrational properties of synthetic basalt-like glasses. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2023; 293:122430. [PMID: 36780741 DOI: 10.1016/j.saa.2023.122430] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2022] [Revised: 11/12/2022] [Accepted: 01/30/2023] [Indexed: 06/18/2023]
Abstract
Volcanic eruptions generate huge amounts of material with a wide range of compositions and therefore different physicochemical properties. We present a combined Raman and calorimetric study carried out on four synthetic basaltic glasses with different alkali vs iron ratio which spans the typical compositions of basalts on Earth. Differential scanning calorimetry shows that changes of this ratio modify the glass transition interval whereas Raman spectra allow to gain insight about the structure of the glass in the microscopic and macroscopic range. Indeed, our Raman analysis is extended from the high frequency region, characterized by the molecular peaks, to the very low frequency region where glasses exhibit the boson peak. Spectra show a variation of the non-bridging oxygens number that affects the medium range order of the glass and the network interconnections. In the considered substitution interval, the boson peak shape is conserved while its position shift upwards. This means that increasing the alkali vs iron content, the elastic medium hardens but it does not change nature. This study emphasizes the importance of considering the full-range spectra when analysing multicomponent or natural systems with small chemical variations.
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Affiliation(s)
- Michele Cassetta
- Department of Computer Sciences, University of Verona, I-37134 Verona, Italy.
| | - Beatrice Giannetta
- Department of Biotechnology, University of Verona, I-37134 Verona, Italy
| | - Francesco Enrichi
- Department of Computer Sciences, University of Verona, I-37134 Verona, Italy
| | - Claudio Zaccone
- Department of Biotechnology, University of Verona, I-37134 Verona, Italy; National Institute of Geophysics and Volcanology, I-00143 Roma, Italy
| | - Gino Mariotto
- Department of Computer Sciences, University of Verona, I-37134 Verona, Italy
| | - Marco Giarola
- Centre for Technological Platform (CPT), University of Verona, I-37134 Verona, Italy
| | - Luca Nodari
- Institute of Condensed Matter Chemistry and Technologies for Energy, National Research Council (ICMATE-CNR), I-35127 Padova, Italy
| | - Marco Zanatta
- Department of Physics, University of Trento, I-38123 Trento, Italy
| | - Nicola Daldosso
- Department of Computer Sciences, University of Verona, I-37134 Verona, Italy
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7
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Foglia L, Mincigrucci R, Maznev A, Baldi G, Capotondi F, Caporaletti F, Comin R, De Angelis D, Duncan R, Fainozzi D, Kurdi G, Li J, Martinelli A, Masciovecchio C, Monaco G, Milloch A, Nelson K, Occhialini C, Pancaldi M, Pedersoli E, Pelli-Cresi J, Simoncig A, Travasso F, Wehinger B, Zanatta M, Bencivenga F. Extreme ultraviolet transient gratings: A tool for nanoscale photoacoustics. PHOTOACOUSTICS 2023; 29:100453. [PMID: 36718271 PMCID: PMC9883289 DOI: 10.1016/j.pacs.2023.100453] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/18/2022] [Revised: 01/06/2023] [Accepted: 01/13/2023] [Indexed: 06/18/2023]
Abstract
Collective lattice dynamics determine essential aspects of condensed matter, such as elastic and thermal properties. These exhibit strong dependence on the length-scale, reflecting the marked wavevector dependence of lattice excitations. The extreme ultraviolet transient grating (EUV TG) approach has demonstrated the potential of accessing a wavevector range corresponding to the 10s of nm length-scale, representing a spatial scale of the highest relevance for fundamental physics and forefront technology, previously inaccessible by optical TG and other inelastic scattering methods. In this manuscript we report on the capabilities of this technique in the context of probing thermoelastic properties of matter, both in the bulk and at the surface, as well as discussing future developments and practical considerations.
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Affiliation(s)
- L. Foglia
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - R. Mincigrucci
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - A.A. Maznev
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - G. Baldi
- Department of Physics, University of Trento, Povo, Trento I-38123, Italy
| | - F. Capotondi
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - F. Caporaletti
- Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam, 1098XH Amsterdam, the Netherlands
- Van ’t Hoff Institute for Molecular Sciences, University of Amsterdam, Science Park 904, 1098XH Amsterdam, the Netherlands
| | - R. Comin
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - D. De Angelis
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - R.A. Duncan
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - D. Fainozzi
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - G. Kurdi
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - J. Li
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - A. Martinelli
- Department of Physics and Astronomy, Università di Padova, 35131 Padova, Italy
| | - C. Masciovecchio
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - G. Monaco
- Department of Physics and Astronomy, Università di Padova, 35131 Padova, Italy
| | - A. Milloch
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25133, Italy
| | - K.A. Nelson
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - C.A. Occhialini
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - M. Pancaldi
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
- Department of Molecular Sciences and Nanosystems, Ca’ Foscari University of Venice, 30172 Venezia, Italy
| | - E. Pedersoli
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - J.S. Pelli-Cresi
- Istituto Italiano di Tecnologia, via Morego 30, 16163 Genoa, Italy
| | - A. Simoncig
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
| | - F. Travasso
- Università di Camerino, 62032 Camerino, Italy
- INFN, Sezione di Perugia, 06123 Perugia, Italy
| | - B. Wehinger
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
- Department of Molecular Sciences and Nanosystems, Ca’ Foscari University of Venice, 30172, 400 Venezia Mestre, Italy
| | - M. Zanatta
- Department of Physics, University of Trento, Povo, Trento I-38123, Italy
| | - F. Bencivenga
- Elettra - Sincrotrone Trieste S.C.p.A., Basovizza, 34149 Trieste, Italy
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8
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González-Jiménez M, Barnard T, Russell BA, Tukachev NV, Javornik U, Hayes LA, Farrell AJ, Guinane S, Senn HM, Smith AJ, Wilding M, Mali G, Nakano M, Miyazaki Y, McMillan P, Sosso GC, Wynne K. Understanding the emergence of the boson peak in molecular glasses. Nat Commun 2023; 14:215. [PMID: 36639380 PMCID: PMC9839737 DOI: 10.1038/s41467-023-35878-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/08/2022] [Accepted: 01/05/2023] [Indexed: 01/15/2023] Open
Abstract
A common feature of glasses is the "boson peak", observed as an excess in the heat capacity over the crystal or as an additional peak in the terahertz vibrational spectrum. The microscopic origins of this peak are not well understood; the emergence of locally ordered structures has been put forward as a possible candidate. Here, we show that depolarised Raman scattering in liquids consisting of highly symmetric molecules can be used to isolate the boson peak, allowing its detailed observation from the liquid into the glass. The boson peak in the vibrational spectrum matches the excess heat capacity. As the boson peak intensifies on cooling, wide-angle x-ray scattering shows the simultaneous appearance of a pre-peak due to molecular clusters consisting of circa 20 molecules. Atomistic molecular dynamics simulations indicate that these are caused by over-coordinated molecules. These findings represent an essential step toward our understanding of the physics of vitrification.
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Affiliation(s)
| | - Trent Barnard
- Department of Chemistry, University of Warwick, Warwick, UK
| | - Ben A Russell
- School of Chemistry, University of Glasgow, Glasgow, UK
| | | | - Uroš Javornik
- Slovenian NMR Centre, National Institute of Chemistry, Ljubljana, Slovenia
| | | | | | - Sarah Guinane
- School of Chemistry, University of Glasgow, Glasgow, UK
| | - Hans M Senn
- School of Chemistry, University of Glasgow, Glasgow, UK
| | - Andrew J Smith
- Diamond Light Source, Harwell Science and Innovation Campus, Harwell, UK
| | | | - Gregor Mali
- Department of Inorganic Chemistry and Technology, National Institute of Chemistry, Ljubljana, Slovenia
| | - Motohiro Nakano
- Research Center for Thermal and Entropic Science, Osaka University, Osaka, Japan
| | - Yuji Miyazaki
- Research Center for Thermal and Entropic Science, Osaka University, Osaka, Japan
| | - Paul McMillan
- Department of Chemistry, University College London, London, UK
| | | | - Klaas Wynne
- School of Chemistry, University of Glasgow, Glasgow, UK.
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9
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Novikov VN. Upper bound of fragility from spatial fluctuations of shear modulus and boson peak in glasses. Phys Rev E 2022; 106:024611. [PMID: 36109942 DOI: 10.1103/physreve.106.024611] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2022] [Accepted: 08/01/2022] [Indexed: 06/15/2023]
Abstract
It is shown that the normalized rms fluctuation of the shear modulus on the medium-range order scale in glasses correlates with fragility: the higher fragility, the smaller the fluctuation amplitude. The latter is calculated within the heterogeneous elasticity theory using the data on the boson peak in glasses. On a smaller scale corresponding to cooperative structural relaxation, the normalized rms fluctuation of the infinite-frequency shear modulus was estimated using the data on the decoupling of viscosity and diffusion in supercooled liquids. These fluctuations are much smaller in amplitude, and, in contrast, they increase with increasing fragility. Extrapolation predicts intersection of both rms fluctuations and disappearing of the boson peak at the upper limit to fragility ≈180.
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Affiliation(s)
- V N Novikov
- Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, 1 Koptyug Avenue, Novosibirsk 630090, Russia
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10
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Krivchikov A, Jeżowski A, Szewczyk D, Korolyuk OA, Romantsova OO, Buravtseva LM, Cazorla C, Tamarit JL. Role of Optical Phonons and Anharmonicity in the Appearance of the Heat Capacity Boson Peak-like Anomaly in Fully Ordered Molecular Crystals. J Phys Chem Lett 2022; 13:5061-5067. [PMID: 35652901 PMCID: PMC9189925 DOI: 10.1021/acs.jpclett.2c01224] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2022] [Accepted: 05/18/2022] [Indexed: 06/15/2023]
Abstract
We demonstrate that the heat capacity Boson peak (BP)-like anomaly appearing in fully ordered anharmonic molecular crystals emerges as a result of the strong interactions between propagating (acoustic) and low-energy quasi-localized (optical) phonons. In particular, we experimentally determine the low-temperature (<30 K) specific heat of the molecular crystal benzophenone and those of several of its fully ordered bromine derivatives. Subsequently, by means of theoretical first-principles methods based on density functional theory, we estimate the corresponding phonon dispersions and vibrational density of states. Our results reveal two possible mechanisms for the emergence of the BP-like anomaly: (i) acoustic-optic phonon avoided crossing, which gives rise to a pseudo-van Hove singularity in the acoustic phonon branches, and (ii) piling up of low-frequency optical phonons, which are quasi degenerate with longitudinal acoustic modes and lead to a surge in the vibrational density of states at low energies.
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Affiliation(s)
- Alexander
I. Krivchikov
- Verkin
Institute for Low Temperature Physics and Engineering of the National
Academy of Sciences of Ukraine, 47 Nauky Avenue, Kharkiv 61103, Ukraine
| | - Andrezj Jeżowski
- Institute
of Low Temperature and Structure Research, Polish Academy of Sciences, 2 Okólna Strasse, 50-422 Wrocław, Poland
| | - Daria Szewczyk
- Institute
of Low Temperature and Structure Research, Polish Academy of Sciences, 2 Okólna Strasse, 50-422 Wrocław, Poland
| | - Oxsana A. Korolyuk
- Verkin
Institute for Low Temperature Physics and Engineering of the National
Academy of Sciences of Ukraine, 47 Nauky Avenue, Kharkiv 61103, Ukraine
| | - Olesya O. Romantsova
- Verkin
Institute for Low Temperature Physics and Engineering of the National
Academy of Sciences of Ukraine, 47 Nauky Avenue, Kharkiv 61103, Ukraine
| | - Lubov M. Buravtseva
- Verkin
Institute for Low Temperature Physics and Engineering of the National
Academy of Sciences of Ukraine, 47 Nauky Avenue, Kharkiv 61103, Ukraine
| | - Claudio Cazorla
- Grup
de Caracterizació de Materials, Departament de Fisica, EEBE,
and Barcelona Research Center in Multiscale Science and Engineering, Universitat Politècnica de Catalunya, Av. Eduard Maristany, 10-14, 08019 Barcelona, Catalonia, Spain
| | - Josep Ll. Tamarit
- Grup
de Caracterizació de Materials, Departament de Fisica, EEBE,
and Barcelona Research Center in Multiscale Science and Engineering, Universitat Politècnica de Catalunya, Av. Eduard Maristany, 10-14, 08019 Barcelona, Catalonia, Spain
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11
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Zhong J, Nakagawa S, Kaczmarska K, Terao W, Grabowska B, Fujii Y, Koreeda A, Kohara S, Tanimoto H, Tokoro H, Ohkoshi SI, Ko JH, Duan Y, Mori T. Investigation of the vibrational density of states of sodium carboxymethyl starch glass via terahertz time-domain spectroscopy. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2022; 266:120414. [PMID: 34619511 DOI: 10.1016/j.saa.2021.120414] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/06/2021] [Revised: 09/16/2021] [Accepted: 09/19/2021] [Indexed: 06/13/2023]
Abstract
We investigated the vibrational density of states of sodium carboxymethyl starch (CM-starch) by terahertz (THz) time-domain spectroscopy. The CM-starch showed a broad peak at ∼3 THz. The structure of the peak was similar to those corresponding to glucose-based polymer glasses possessing hydrogen bonds. The boson peak (BP) appeared at 1.16 THz at the lowest temperature and disappeared because of the existence of excess wing at higher temperatures. However, based on our novel BP frequency determination method using the inflection point of the extinction coefficient, the BP frequency showed almost no dependence on temperature. Further, the chain length dependence of the BP frequency of the glucose-based glasses showed that the BP frequency of the polymer glass was slightly lower than that of the monomer glass. The power law behaviour of the absorption coefficient suggested the existence of fractons, and the fractal dimension was estimated to be 2.33.
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Affiliation(s)
- Junlan Zhong
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Shin Nakagawa
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Karolina Kaczmarska
- AGH - University of Science and Technology, Faculty of Foundry Engineering, Reymonta 23, 30 059 Krakow, Poland
| | - Wakana Terao
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Beata Grabowska
- AGH - University of Science and Technology, Faculty of Foundry Engineering, Reymonta 23, 30 059 Krakow, Poland
| | - Yasuhiro Fujii
- Department of Physical Sciences, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga 525-8577, Japan
| | - Akitoshi Koreeda
- Department of Physical Sciences, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga 525-8577, Japan
| | - Shinji Kohara
- Quantum Beam Field, Research Center for Advanced Measurement and Characterization, National Institute for Materials Science, 1-2-1 Sengen, Tsukuba, Ibaraki 305-0047, Japan
| | - Hisanori Tanimoto
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Hiroko Tokoro
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Shin-Ichi Ohkoshi
- Department of Chemistry, School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - Jae-Hyeon Ko
- School of Nano Convergence Technology, Hallym University, 1 Hallymdaehakgil, Chuncheon, Gangwondo 24252, Republic of Korea
| | - Yu Duan
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Tatsuya Mori
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan.
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12
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Shukla P. Average density of states of amorphous Hamiltonians: role of phonon mediated coupling of nano-clusters. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2022; 34:135701. [PMID: 34996057 DOI: 10.1088/1361-648x/ac4938] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/09/2021] [Accepted: 01/07/2022] [Indexed: 06/14/2023]
Abstract
Based on a description of an amorphous solid as a collection of coupled nanosize molecular clusters referred as basic blocks, we analyse the statistical properties of its Hamiltonian. The information is then used to derive the ensemble averaged density of the vibrational states (non-phonon) which turns out to be a Gaussian in the bulk of the spectrum and an Airy function in the low frequency regime. A comparison with experimental data for six glasses confirms validity of our theoretical predictions.
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Affiliation(s)
- Pragya Shukla
- Department of Physics, Indian Institute of Technology, Kharagpur-721302, India
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13
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Affiliation(s)
- Zhehua Jiang
- Hefei National Laboratory for Physical Sciences at the Microscale, CAS Key Laboratory of Microscale Magnetic Resonance, and Department of Physics, University of Science and Technology of China Hefei 230026 P. R. China
| | - Ning xu
- Hefei National Laboratory for Physical Sciences at the Microscale, CAS Key Laboratory of Microscale Magnetic Resonance, and Department of Physics, University of Science and Technology of China Hefei 230026 P. R. China
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14
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Lerner E, Bouchbinder E. Low-energy quasilocalized excitations in structural glasses. J Chem Phys 2021; 155:200901. [PMID: 34852497 DOI: 10.1063/5.0069477] [Citation(s) in RCA: 23] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
Abstract
Glassy solids exhibit a wide variety of generic thermomechanical properties, ranging from universal anomalous specific heat at cryogenic temperatures to nonlinear plastic yielding and failure under external driving forces, which qualitatively differ from their crystalline counterparts. For a long time, it has been believed that many of these properties are intimately related to nonphononic, low-energy quasilocalized excitations (QLEs) in glasses. Indeed, recent computer simulations have conclusively revealed that the self-organization of glasses during vitrification upon cooling from a melt leads to the emergence of such QLEs. In this Perspective, we review developments over the past three decades toward understanding the emergence of QLEs in structural glasses and the degree of universality in their statistical and structural properties. We discuss the challenges and difficulties that hindered progress in achieving these goals and review the frameworks put forward to overcome them. We conclude with an outlook on future research directions and open questions.
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Affiliation(s)
- 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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15
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Mahajan S, Ciamarra MP. Unifying Description of the Vibrational Anomalies of Amorphous Materials. PHYSICAL REVIEW LETTERS 2021; 127:215504. [PMID: 34860101 DOI: 10.1103/physrevlett.127.215504] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2021] [Revised: 08/19/2021] [Accepted: 10/08/2021] [Indexed: 06/13/2023]
Abstract
The vibrational density of states D(ω) of solids controls their thermal and transport properties. In crystals, the low-frequency modes are extended phonons distributed in frequency according to Debye's law, D(ω)∝ω^{2}. In amorphous solids, phonons are damped, and at low frequency D(ω) comprises extended modes in excess over Debye's prediction, leading to the so-called boson peak in D(ω)/ω^{2} at ω_{bp}, and quasilocalized ones. Here we show that boson peak and phonon attenuation in the Rayleigh scattering regime are related, as suggested by correlated fluctuating elasticity theory, and that amorphous materials can be described as homogeneous isotropic elastic media punctuated by quasilocalized modes acting as elastic heterogeneities. Our numerical results resolve the conflict between theoretical approaches attributing amorphous solids' vibrational anomalies to elastic disorder and localized defects.
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Affiliation(s)
- Shivam Mahajan
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371
| | - Massimo Pica Ciamarra
- Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371
- CNRS@CREATE LTD, 1 Create Way, #08-01 CREATE Tower, Singapore 138602
- CNR-SPIN, Dipartimento di Scienze Fisiche, Università di Napoli Federico II, I-80126, Napoli, Italy
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16
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Ren S, Zong HX, Tao XF, Sun YH, Sun BA, Xue DZ, Ding XD, Wang WH. Boson-peak-like anomaly caused by transverse phonon softening in strain glass. Nat Commun 2021; 12:5755. [PMID: 34599172 PMCID: PMC8486772 DOI: 10.1038/s41467-021-26029-w] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2020] [Accepted: 09/14/2021] [Indexed: 11/09/2022] Open
Abstract
Strain glass is a glassy state with frozen ferroelastic/martensitic nanodomains in shape memory alloys, yet its nature remains unclear. Here, we report a glassy feature in strain glass that was thought to be only present in structural glasses. An abnormal hump is observed in strain glass around 10 K upon normalizing the specific heat by cubed temperature, similar to the boson peak in metallic glass. The simulation studies show that this boson-peak-like anomaly is caused by the phonon softening of the non-transforming matrix surrounding martensitic domains, which occurs in a transverse acoustic branch not associated with the martensitic transformation displacements. Therefore, this anomaly neither is a relic of van Hove singularity nor can be explained by other theories relying on structural disorder, while it verifies a recent theoretical model without any assumptions of disorder. This work might provide fresh insights in understanding the nature of glassy states and associated vibrational properties.
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Affiliation(s)
- Shuai Ren
- Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China
| | - Hong-Xiang Zong
- State Key Laboratory for Mechanical Behavior of Materials, Xi'an Jiaotong University, 710049, Xi'an, China
| | - Xue-Fei Tao
- State Key Laboratory for Mechanical Behavior of Materials, Xi'an Jiaotong University, 710049, Xi'an, China
| | - Yong-Hao Sun
- Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China
| | - Bao-An Sun
- Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China
| | - De-Zhen Xue
- State Key Laboratory for Mechanical Behavior of Materials, Xi'an Jiaotong University, 710049, Xi'an, China
| | - Xiang-Dong Ding
- State Key Laboratory for Mechanical Behavior of Materials, Xi'an Jiaotong University, 710049, Xi'an, China.
| | - Wei-Hua Wang
- Institute of Physics, Chinese Academy of Sciences, 100190, Beijing, China.
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17
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Heat capacity anomalies of the molecular crystal 1-fluoro-adamantane at low temperatures. Sci Rep 2021; 11:18640. [PMID: 34545134 PMCID: PMC8452677 DOI: 10.1038/s41598-021-97973-2] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/03/2021] [Accepted: 08/24/2021] [Indexed: 11/08/2022] Open
Abstract
Disorder-disorder phase transitions are rare in nature. Here, we present a comprehensive low-temperature experimental and theoretical study of the heat capacity and vibrational density of states of 1-fluoro-adamantane (C10H15F), an intriguing molecular crystal that presents a continuous disorder-disorder phase transition at T = 180 K and a low-temperature tetragonal phase that exhibits fractional fluorine occupancy. It is shown that fluorine occupancy disorder in the low-T phase of 1-fluoro-adamantane gives rise to the appearance of low-temperature glassy features in the corresponding specific heat (i.e., "boson peak" -BP-) and vibrational density of states. We identify the inflation of low-energy optical modes as the main responsible for the appearance of such glassy heat-capacity features and propose a straightforward correlation between the first localized optical mode and maximum BP temperature for disordered molecular crystals (either occupational or orientational). Thus, the present study provides new physical insights into the possible origins of the BP appearing in disordered materials and expands the set of molecular crystals in which "glassy-like" heat-capacity features have been observed.
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18
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Shukla P. Low temperature heat capacity of nanosize amorphous solids. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:455301. [PMID: 34380126 DOI: 10.1088/1361-648x/ac1cb3] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/21/2021] [Accepted: 08/11/2021] [Indexed: 06/13/2023]
Abstract
Contrary to previous studies based on bulk materials, we analyze the behavior of the vibrational density of states (VDOS) and specific heat of an amorphous solid of nano-scales (∼3 nm) at low temperature. With Hamiltonian formulation based on the intermolecular dispersion forces, our analysis indicates a universal semi-circle form of the average VDOS in the bulk of the spectrum along with a super-exponentially increasing behavior in its edge. The latter in turn leads to a specific heat with a superlinear temperature (T) dependence belowT< 1Keven at nano-scales, and, surprisingly agreeing with the experiments although the latter are carried out at macroscopic scales. The omnipresence of dispersion forces at microscopic scales indicates the application of our results to other disordered materials too.
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Affiliation(s)
- Pragya Shukla
- Department of Physics, Indian Institute of Technology, Kharagpur-721302, India
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19
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Tomoshige N, Goto S, Mizuno H, Mori T, Kim K, Matubayasi N. Understanding the scaling of boson peak through insensitivity of elastic heterogeneity to bending rigidity in polymer glasses. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:274002. [PMID: 33930889 DOI: 10.1088/1361-648x/abfd51] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/06/2020] [Accepted: 04/30/2021] [Indexed: 06/12/2023]
Abstract
Amorphous materials exhibit peculiar mechanical and vibrational properties, including non-affine elastic responses and excess vibrational states, i.e., the so-called boson peak (BP). For polymer glasses, these properties are considered to be affected by the bending rigidity of the constituent polymer chains. In our recent work [Tomoshige,et al2019,Sci. Rep.919514], we have revealed simple relationships between the variations of vibrational properties and the global elastic properties: the response of the BP scales only with that of the global shear modulus. This observation suggests that the spatial heterogeneity of the local shear modulus distribution is insensitive to changes in the bending rigidity. Here, we demonstrate the insensitivity of elastic heterogeneity by directly measuring the local shear modulus distribution. We also study transverse sound wave propagation, which is also shown to scale only with the global shear modulus. Through these analyses, we conclude that the bending rigidity does not alter the spatial heterogeneity of the local shear modulus distribution, which yields vibrational and acoustic properties that are controlled solely by the global shear modulus of a polymer glass.
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Affiliation(s)
- Naoya Tomoshige
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
| | - Shota Goto
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
| | - Hideyuki Mizuno
- Graduate School of Arts and Sciences, The University of Tokyo, Tokyo 153-8902, Japan
| | - Tatsuya Mori
- Department of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, 305-8573, Japan
| | - Kang Kim
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
| | - Nobuyuki Matubayasi
- Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
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20
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Massa CA, Puosi F, Tripodo A, Leporini D. Open and Anisotropic Soft Regions in a Model Polymer Glass. Polymers (Basel) 2021; 13:polym13081336. [PMID: 33921750 PMCID: PMC8072583 DOI: 10.3390/polym13081336] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/02/2021] [Revised: 04/14/2021] [Accepted: 04/17/2021] [Indexed: 11/30/2022] Open
Abstract
The vibrational dynamics of a model polymer glass is studied by Molecular Dynamics simulations. The focus is on the “soft” monomers with high participation to the lower-frequency vibrational modes contributing to the thermodynamic anomalies of glasses. To better evidence their role, the threshold to qualify monomers as soft is made severe, allowing for the use of systems with limited size. A marked tendency of soft monomers to form quasi-local clusters involving up to 15 monomers is evidenced. Each chain contributes to a cluster up to about three monomers and a single cluster involves a monomer belonging to about 2–3 chains. Clusters with monomers belonging to a single chain are rare. The open and tenuous character of the clusters is revealed by their fractal dimension df<2. The inertia tensor of the soft clusters evidences their strong anisotropy in shape and remarkable linear correlation of the two largest eigenvalues. Owing to the limited size of the system, finite-size effects, as well as dependence of the results on the adopted polymer length, cannot be ruled out.
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Affiliation(s)
- Carlo Andrea Massa
- Istituto per i Processi Chimico-Fisici-Consiglio Nazionale delle Ricerche (IPCF-CNR), Via G Moruzzi 1, 56124 Pisa, Italy;
| | - Francesco Puosi
- Istituto Nazionale di Fisica Nucleare, Largo B. Pontecorvo 3, 56127 Pisa, Italy;
- Dipartimento di Fisica ‘Enrico Fermi’, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy;
| | - Antonio Tripodo
- Dipartimento di Fisica ‘Enrico Fermi’, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy;
| | - Dino Leporini
- Istituto per i Processi Chimico-Fisici-Consiglio Nazionale delle Ricerche (IPCF-CNR), Via G Moruzzi 1, 56124 Pisa, Italy;
- Dipartimento di Fisica ‘Enrico Fermi’, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy;
- Correspondence: ; Tel.: +39-050-2214937
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21
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Miyazaki Y, Nakano M, Krivchikov AI, Koroyuk OA, Gebbia JF, Cazorla C, Tamarit JL. Low-Temperature Heat Capacity Anomalies in Ordered and Disordered Phases of Normal and Deuterated Thiophene. J Phys Chem Lett 2021; 12:2112-2117. [PMID: 33625859 PMCID: PMC8594864 DOI: 10.1021/acs.jpclett.1c00289] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2021] [Accepted: 02/19/2021] [Indexed: 06/12/2023]
Abstract
We measured the specific heat Cp of normal (C4H4S) and deuterated (C4D4S) thiophene in the temperature interval of 1 ≤ T, K ≤ 25. C4H4S exhibits a metastable phase II2 and a stable phase V, both with frozen orientational disorder (OD), whereas C4D4S exhibits a metastable phase II2, which is analogous to the OD phase II2 of C4H4S and a fully ordered stable phase V. Our measurements demonstrate the existence of a large bump in the heat capacity of both stable and metastable C4D4S and C4H4S phases at temperatures of ∼10 K, which significantly departs from the expected Debye temperature behavior of Cp ≈ T3. This case study demonstrates that the identified low-temperature Cp anomaly, typically referred to as a "Boson-peak" in the context of glassy crystals, is not exclusive of disordered materials.
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Affiliation(s)
- Y. Miyazaki
- Research
Center for Thermal and Entropic Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Osaka, Japan
| | - M. Nakano
- Research
Center for Thermal and Entropic Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Osaka, Japan
| | - A. I. Krivchikov
- B.
Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences Ukraine, 47 Science Avenue, Kharkov 61103, Ukraine
| | - O. A. Koroyuk
- B.
Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences Ukraine, 47 Science Avenue, Kharkov 61103, Ukraine
| | - J. F. Gebbia
- Grup
de Caracterizació de Materials, Departament de Física,
EEBE and Barcelona Research Center in Multiscale Science and Engineering, Universitat Politècnica de Catalunya, Eduard Maristany, 10-14, Barcelona 08019, Catalonia, Spain
| | - C. Cazorla
- Departament
de Física, Universitat Politècnica
de Catalunya, Campus
Nord B4−B5, Barcelona E-08034, Catalonia, Spain
| | - J. Ll. Tamarit
- Grup
de Caracterizació de Materials, Departament de Física,
EEBE and Barcelona Research Center in Multiscale Science and Engineering, Universitat Politècnica de Catalunya, Eduard Maristany, 10-14, Barcelona 08019, Catalonia, Spain
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22
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Tan X, Guo Y, Huang D, Zhang L. A structural approach to vibrational properties ranging from crystals to disordered systems. SOFT MATTER 2021; 17:1330-1336. [PMID: 33315036 DOI: 10.1039/d0sm01989e] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Many scientists generally attribute the vibrational anomalies of disordered solids to the structural disorder, which, however, is still under intense debate. Here we conduct simulations on two-dimensional packings with a finite temperature, whose structure is tuned from a crystalline configuration to an amorphous one, then the amorphous from very dense state to a relatively loose state. By measuring the vibrational density of states and the reduced density of states, we clearly observe the evolution of the boson peak with the change of the disorder and volume fractions. Meanwhile, to understand the structural origin of this anomaly, we identify the soft regimes of all systems with a novel machine-learning method, where the "softness", a local structural quantity, is defined. Interestingly, we find a strong monotonic relationship between the shape of the boson peak and the softness as well as its spatial heterogeneity, suggesting that the softness of a system may be a new structural approach to the anomalous vibrational properties of amorphous solids.
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Affiliation(s)
- Xin Tan
- School of Computer Science and Engineering, Central South University, Changsha 410083, China
| | - Ying Guo
- School of Automation, Central South University, Changsha 410083, China.
| | - Duan Huang
- School of Computer Science and Engineering, Central South University, Changsha 410083, China
| | - Ling Zhang
- School of Automation, Central South University, Changsha 410083, China.
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23
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Soles CL, Burns AB, Ito K, Chan EP, Douglas JF, Wu J, Yee AF, Shih YT, Huang L, Dimeo RM, Tyagi M. Why Enhanced Subnanosecond Relaxations Are Important for Toughness in Polymer Glasses. Macromolecules 2021. [DOI: 10.1021/acs.macromol.0c02574] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Affiliation(s)
- Christopher L. Soles
- NIST Materials Science and Engineering Division, 100 Bureau Drive, Gaithersburg, Maryland 20899, United States
| | - Adam B. Burns
- NIST Materials Science and Engineering Division, 100 Bureau Drive, Gaithersburg, Maryland 20899, United States
| | - Kanae Ito
- NIST Materials Science and Engineering Division, 100 Bureau Drive, Gaithersburg, Maryland 20899, United States
| | - Edwin P. Chan
- NIST Materials Science and Engineering Division, 100 Bureau Drive, Gaithersburg, Maryland 20899, United States
| | - Jack F. Douglas
- NIST Materials Science and Engineering Division, 100 Bureau Drive, Gaithersburg, Maryland 20899, United States
| | - Jinhuang Wu
- Macromolecular Science and Engineering Program, University of Michigan, 2800 Plymouth Road, Ann Arbor, Michigan 48109, United States
| | - Albert F. Yee
- Department of Chemical and Biological Engineering, University of California, Irvine, California 92697, United States
| | - Yueh-Ting Shih
- Department of Materials Science and Engineering, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180, United States
| | - Liping Huang
- Department of Materials Science and Engineering, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180, United States
| | - Robert M. Dimeo
- NIST Center for Neutron Research, 100 Bureau Drive, Gaithersburg, Maryland 20899, United States
| | - Madhusudan Tyagi
- NIST Center for Neutron Research, 100 Bureau Drive, Gaithersburg, Maryland 20899, United States
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24
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Role of Anharmonic Interactions for Vibration Density of States in α-Cristobalite. MATERIALS 2021; 14:ma14030617. [PMID: 33572842 PMCID: PMC7866241 DOI: 10.3390/ma14030617] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/31/2020] [Revised: 01/25/2021] [Accepted: 01/27/2021] [Indexed: 11/29/2022]
Abstract
The vibrational density of states (VDOS) of solids in the low-energy regime controls the thermal and transport properties of materials, such as heat capacity, heat conduction, free energy and entropy. In α-Cristobalite, the low-frequency part of vibration density of states (VDOS) has many common features with the Boson peak in silica glass of matched densities. Recent theoretical work reported that anharmonic phonon–phonon interactions were critical for the low-frequency part of VDOS in α-Cristobalite. Therefore, it is urgent to identify the role of different anharmonic interactions from first principles. In this paper, we focus on the main peak of the low-frequency part of VDOS in α-Cristobalite. Calculated by our own developed codes and first principles, we find that the quartic anharmonic interaction can increase the frequency of the peak, while the cubic anharmonic can reduce the frequency and change the shape of the peak. Meanwhile, the anharmonic interactions are critical for the temperature effect. Therefore, we calculated the temperature-dependent property of the peak. We find that the frequency of the peak is directly proportional to the temperature. The atomic displacement patterns of different temperatures also confirm the above conclusion. All our calculations converged well. Moreover, our basic results agree well with other published results. Finally, we highlight that our codes offer a general and reliable way to calculate the VDOS with temperature.
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25
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Casella L, Baggioli M, Mori T, Zaccone A. Physics of phonon-polaritons in amorphous materials. J Chem Phys 2021; 154:014501. [PMID: 33412881 DOI: 10.1063/5.0033371] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The nature of bosonic excitations in disordered materials has remained elusive due to the difficulties in defining key concepts such as quasi-particles in the presence of disorder. We report on an experimental observation of phonon-polaritons in glasses, including a prominent boson peak (BP), i.e., excess of THz modes over the Debye law. A theoretical framework based on the concept of diffusons is developed to describe the broadening linewidth of the polariton due to disorder-induced scattering. It is shown here for the first time that the BP frequency and the Ioffe-Regel (IR) crossover frequency of the polariton collapse onto the same power-law decay with the diffusivity of the bosonic excitation. This analysis dismisses the hypothesis of the BP being caused by a relic of the van Hove singularity. The presented framework establishes a new methodology to analyze bosonic excitations in amorphous media, well beyond the traditional case of acoustic phonons, and establishes the IR crossover as the fundamental physical mechanism behind the BP.
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Affiliation(s)
- Luigi Casella
- Department of Physics "A. Pontremoli", University of Milan, via Celoria 16, 20133 Milan, Italy
| | - Matteo Baggioli
- Instituto de Fisica Teorica UAM/CSIC, c/Nicolas Cabrera 13-15, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain
| | - Tatsuya Mori
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Alessio Zaccone
- Department of Physics "A. Pontremoli", University of Milan, via Celoria 16, 20133 Milan, Italy
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Zorn R, Szymoniak P, Kolmangadi MA, Wolf M, Alentiev DA, Bermeshev M, Böhning M, Schönhals A. Low frequency vibrational density of state of highly permeable super glassy polynorbornenes - the Boson peak. Phys Chem Chem Phys 2020; 22:18381-18387. [PMID: 32794532 DOI: 10.1039/d0cp03360j] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Inelastic incoherent neutron time-of-flight scattering was employed to measure the low frequency density of states for a series of addition polynorbornenes with bulky side groups. The rigid main chain in combination with the bulky side groups give rise to a microporosity of these polymers in the solid state. The microporosity characterized by the BET surfaces area varies systematically in the considered series. Such materials have some possible application as active separation layer in gas separation membranes. All investigated materials show excess contributions to the Debye type density of states characteristic for glasses known as Boson peak. The maximum position of the Boson peak shifts to lower frequency values with increasing microporosity. Data for PIM-1 and Matrimid included for comparison are in good agreement to this dependency. This result supports the sound wave interpretation of the Boson peak.
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Affiliation(s)
- Reiner Zorn
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1) and Institute for Biological Information Processing (IBI-8), 52425 Jülich, Germany
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27
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Richard D, González-López K, Kapteijns G, Pater R, Vaknin T, Bouchbinder E, Lerner E. Universality of the Nonphononic Vibrational Spectrum across Different Classes of Computer Glasses. PHYSICAL REVIEW LETTERS 2020; 125:085502. [PMID: 32909789 DOI: 10.1103/physrevlett.125.085502] [Citation(s) in RCA: 38] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2020] [Revised: 07/09/2020] [Accepted: 07/21/2020] [Indexed: 06/11/2023]
Abstract
It has been recently established that the low-frequency spectrum of simple computer glass models is populated by soft, quasilocalized nonphononic vibrational modes whose frequencies ω follow a gapless, universal distribution D(ω)∼ω^{4}. While this universal nonphononic spectrum has been shown to be robust to varying the glass history and spatial dimension, it has so far only been observed in simple computer glasses featuring radially symmetric, pairwise interaction potentials. Consequently, the relevance of the universality of nonphononic spectra seen in simple computer glasses to realistic laboratory glasses remains unclear. Here, we demonstrate the emergence of the universal ω^{4} nonphononic spectrum in a broad variety of realistic computer glass models, ranging from tetrahedral network glasses with three-body interactions, through molecular glasses and glassy polymers, to bulk metallic glasses. Taken together with previous observations, our results indicate that the low-frequency nonphononic vibrational spectrum of any glassy solid quenched from a melt features the universal ω^{4} law, independently of the nature of its microscopic interactions.
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Affiliation(s)
- David Richard
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - Karina González-López
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - Geert Kapteijns
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - Robert Pater
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
| | - Talya Vaknin
- Chemical and Biological Physics Department, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Eran Bouchbinder
- 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
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28
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Mori T, Jiang Y, Fujii Y, Kitani S, Mizuno H, Koreeda A, Motoji L, Tokoro H, Shiraki K, Yamamoto Y, Kojima S. Detection of boson peak and fractal dynamics of disordered systems using terahertz spectroscopy. Phys Rev E 2020; 102:022502. [PMID: 32942491 DOI: 10.1103/physreve.102.022502] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/10/2020] [Accepted: 08/10/2020] [Indexed: 06/11/2023]
Abstract
The boson peak is a largely unexplained excitation found universally in the terahertz vibrational spectra of disordered systems; the so-called fracton is a vibrational excitation associated with the self-similar structure of monomers in polymeric glasses. We demonstrate that such excitations can be detected using terahertz spectroscopy. In the case of fractal structures, we determine the infrared light-vibration coupling coefficient for the fracton region and show that information concerning the fractal and fracton dimensions appears in the exponent of the absorption coefficient. Finally, using terahertz time-domain spectroscopy and low-frequency Raman scattering, we experimentally observe these universal excitations in a protein (lysozyme) system that has an intrinsically disordered and fractal structure and argue that the system should be considered a single supramolecule. These findings are applicable to amorphous and fractal objects in general and will be valuable for understanding universal dynamics of disordered systems via terahertz light.
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Affiliation(s)
- Tatsuya Mori
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Yue Jiang
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Yasuhiro Fujii
- Department of Physical Sciences, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga 525-8577, Japan
| | - Suguru Kitani
- Laboratory for Materials and Structures, Tokyo Institute of Technology, 4259 Nagatsuta-cho, Midori-ku, Yokohama 226-8503, Japan
| | - Hideyuki Mizuno
- Graduate School of Arts and Sciences, The University of Tokyo, Tokyo 153-8902, Japan
| | - Akitoshi Koreeda
- Department of Physical Sciences, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga 525-8577, Japan
| | - Leona Motoji
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Hiroko Tokoro
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Kentaro Shiraki
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Yohei Yamamoto
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
| | - Seiji Kojima
- Division of Materials Science, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan
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29
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Khomich AA, Khmelnitsky RA, Khomich AV. Probing the Nanostructure of Neutron-Irradiated Diamond Using Raman Spectroscopy. NANOMATERIALS 2020; 10:nano10061166. [PMID: 32549323 PMCID: PMC7353327 DOI: 10.3390/nano10061166] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/03/2020] [Revised: 06/09/2020] [Accepted: 06/10/2020] [Indexed: 11/16/2022]
Abstract
Disordering of crystal lattice induced by irradiation with fast neutrons and other high-energy particles is used for the deep modification of electrical and optical properties of diamonds via significant nanoscale restructuring and defects engineering. Raman spectroscopy was employed to investigate the nature of radiation damage below the critical graphitization level created when chemical vapor deposition and natural diamonds are irradiated by fast neutrons with fluencies from 1 × 1018 to 3 × 1020 cm−2 and annealed at the 100–1700 °C range. The significant changes in the diamond Raman spectra versus the neutron-irradiated conditions are associated with the formation of intrinsic irradiation-induced defects that do not completely destroy the crystalline feature but decrease the phonon coherence length as the neutron dose increases. It was shown that the Raman spectrum of radiation-damaged diamonds is determined by the phonon confinement effect and that the boson peak is present in the Raman spectra up to annealing at 800–1000 °C. Three groups of defect-induced bands (first group = 260, 495, and 730 cm−1; second group = 230, 500, 530, 685, and 760 cm–1; and third group = 335, 1390, 1415, and 1740 cm−1) were observed in Raman spectra of fast-neutron-irradiated diamonds.
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Affiliation(s)
- Andrey A. Khomich
- Kotelnikov Institute of Radio-Engineering and Electronics of the Russian Academy of Sciences, pl. Vvedenskogo 1, 141190 Fryazino, Russia; (R.A.K.); (A.V.K.)
- Correspondence:
| | - Roman A. Khmelnitsky
- Kotelnikov Institute of Radio-Engineering and Electronics of the Russian Academy of Sciences, pl. Vvedenskogo 1, 141190 Fryazino, Russia; (R.A.K.); (A.V.K.)
- Lebedev Institute of Physics of the Russian Academy of Sciences, Leninsky pr. 53, 117924 Moscow, Russia
| | - Alexander V. Khomich
- Kotelnikov Institute of Radio-Engineering and Electronics of the Russian Academy of Sciences, pl. Vvedenskogo 1, 141190 Fryazino, Russia; (R.A.K.); (A.V.K.)
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30
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Li XY, Zhang HP, Lan S, Abernathy DL, Otomo T, Wang FW, Ren Y, Li MZ, Wang XL. Observation of High-Frequency Transverse Phonons in Metallic Glasses. PHYSICAL REVIEW LETTERS 2020; 124:225902. [PMID: 32567931 DOI: 10.1103/physrevlett.124.225902] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/19/2019] [Accepted: 04/23/2020] [Indexed: 06/11/2023]
Abstract
Using inelastic neutron scattering and molecular dynamics simulations on a model Zr-Cu-Al metallic glass, we show that transverse phonons persist well into the high-frequency regime, and can be detected at large momentum transfer. Furthermore, the apparent peak width of the transverse phonons was found to follow the static structure factor. The one-to-one correspondence, which was demonstrated for both Zr-Cu-Al metallic glass and a three-dimensional Lennard-Jones model glass, suggests a universal correlation between the phonon dynamics and the underlying disordered structure. This remarkable correlation, not found for longitudinal phonons, underscores the key role that transverse phonons hold for understanding the structure-dynamics relationship in disordered materials.
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Affiliation(s)
- X Y Li
- Department of Physics, City University of Hong Kong, 83 Tat Chee Avenue, Hong Kong, China
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China
| | - H P Zhang
- Department of Physics, Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China
| | - S Lan
- Department of Physics, City University of Hong Kong, 83 Tat Chee Avenue, Hong Kong, China
- Herbert Gleiter Institute of Nanoscience, School of Materials Science and Engineering, Nanjing University of Science and Technology, 200 Xiaolingwei Avenue, Nanjing 210094, China
| | - D L Abernathy
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - T Otomo
- Institute of Materials Structure Science, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
| | - F W Wang
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China
- Songshan Lake Materials Laboratory, Dongguan 523808, China
| | - Y Ren
- X-ray Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - M Z Li
- Department of Physics, Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China
| | - X-L Wang
- Department of Physics, City University of Hong Kong, 83 Tat Chee Avenue, Hong Kong, China
- Center for Neutron Scattering, City University of Hong Kong Shenzhen Research Institute, 8 Yuexing 1st Road, Shenzhen Hi-Tech Industrial Park, Shenzhen 518057, China
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31
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Zhong J, Mori T, Fujii Y, Kashiwagi T, Terao W, Yamashiro M, Minami H, Tsujimoto M, Tanaka T, Kawashima H, Ito J, Kijima M, Iji M, Watanabe MM, Kadowaki K. Molecular vibration and Boson peak analysis of glucose polymers and ester via terahertz spectroscopy. Carbohydr Polym 2020; 232:115789. [PMID: 31952597 DOI: 10.1016/j.carbpol.2019.115789] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2019] [Revised: 12/22/2019] [Accepted: 12/26/2019] [Indexed: 10/25/2022]
Abstract
Complex permittivity spectra were obtained herein by performing broadband terahertz (THz) spectroscopy on cellulose, paramylon, and paramylon ester. Absorption peaks observed for cellulose and paramylon at approximately 3 THz are attributed to hydrogen bonds. In addition, a broad absorption peak around 2 THz was observed for all the polymers, demonstrating a general feature of polymer glasses derived from weak interatomic van der Waals forces. The boson peak was observed for cellulose and paramylon ester. The boson peak frequency for cellulose nearly equaled that for glassy glucose-a unit structure of the cellulose polymer. Additionally, the insensitivity of cellulose to the polymerization degree was consistent with recent results obtained via molecular dynamics simulations. In contrast, the boson peak frequency of paramylon ester was markedly smaller than that of cellulose. These results demonstrate the importance of hydrogen bonds as determinants of the boson peak frequency.
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Affiliation(s)
- Junlan Zhong
- Graduate School of Life and Environment Sciences, University of Tsukuba, Japan.
| | - Tatsuya Mori
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan
| | - Yasuhiro Fujii
- Department of Physical Sciences, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu 525-8577, Japan
| | - Takanari Kashiwagi
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan
| | - Wakana Terao
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan
| | - Midori Yamashiro
- System Platform Research Laboratories NEC Corporation, 34 Miyukigaoka, Tsukuba, Ibaraki 305-8501, Japan
| | - Hidotoshi Minami
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan
| | - Manabu Tsujimoto
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan
| | - Teruhiko Tanaka
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan; Algae Biomass and Energy System (ABES) Research and Development Center, University of Tsukuba, Japan
| | - Hidehisa Kawashima
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan
| | - Junko Ito
- Algae Biomass and Energy System (ABES) Research and Development Center, University of Tsukuba, Japan
| | - Masashi Kijima
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan; Algae Biomass and Energy System (ABES) Research and Development Center, University of Tsukuba, Japan
| | - Masatoshi Iji
- Algae Biomass and Energy System (ABES) Research and Development Center, University of Tsukuba, Japan
| | - Makoto M Watanabe
- Algae Biomass and Energy System (ABES) Research and Development Center, University of Tsukuba, Japan
| | - Kazuo Kadowaki
- Division of Materials Science, Faculty of Pure and Applied Sciences, University of Tsukuba, Japan; Algae Biomass and Energy System (ABES) Research and Development Center, University of Tsukuba, Japan
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32
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Lerner E. Finite-size effects in the nonphononic density of states in computer glasses. Phys Rev E 2020; 101:032120. [PMID: 32289945 DOI: 10.1103/physreve.101.032120] [Citation(s) in RCA: 21] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/28/2019] [Accepted: 02/27/2020] [Indexed: 06/11/2023]
Abstract
The universal form of the density of nonphononic, quasilocalized vibrational modes of frequency ω in structural glasses, D(ω), was predicted theoretically decades ago, but only recently revealed in numerical simulations. In particular, it has been recently established that, in generic computer glasses, D(ω) increases from zero frequency as ω^{4}, independent of spatial dimension and of microscopic details. However, it has been shown [Lerner and Bouchbinder, Phys. Rev. E 96, 020104(R) (2017)2470-004510.1103/PhysRevE.96.020104] that the preparation protocol employed to create glassy samples may affect the form of their resulting D(ω): glassy samples rapidly quenched from high-temperature liquid states were shown to feature D(ω)∼ω^{β} with β<4, presumably limiting the degree of universality of the ω^{4} law. Here we show that exponents β<4 are seen only in small glassy samples quenched from high-temperature liquid states-whose sizes are comparable to or smaller than the size of the disordered core of soft quasilocalized vibrations-while larger glassy samples made with the same protocol feature the universal ω^{4} law. Our results demonstrate that observations of β<4 in the nonphononic density of states stem from finite-size effects, and we thus conclude that the ω^{4} law should be featured by any sufficiently large glass quenched from a melt.
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Affiliation(s)
- Edan Lerner
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Amsterdam, the Netherlands
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33
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Hansen HW, Lundin F, Adrjanowicz K, Frick B, Matic A, Niss K. Density scaling of structure and dynamics of an ionic liquid. Phys Chem Chem Phys 2020; 22:14169-14176. [DOI: 10.1039/d0cp01258k] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Abstract
The lines in the pressure–temperature phase diagram with constant conductivity are found to be lines where other dynamic variables as well as the molecular structure factor peak are constant, while charge ordering changes.
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Affiliation(s)
- Henriette Wase Hansen
- Glass and Time
- IMFUFA
- Department of Science and Environment
- Roskilde University
- DK-4000 Roskilde
| | - Filippa Lundin
- Materials Physics
- Department of Physics
- Chalmers University of Technology
- Gothenburg
- Sweden
| | | | | | - Aleksandar Matic
- Materials Physics
- Department of Physics
- Chalmers University of Technology
- Gothenburg
- Sweden
| | - Kristine Niss
- Glass and Time
- IMFUFA
- Department of Science and Environment
- Roskilde University
- DK-4000 Roskilde
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34
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Boson peak, elasticity, and glass transition temperature in polymer glasses: Effects of the rigidity of chain bending. Sci Rep 2019; 9:19514. [PMID: 31862997 PMCID: PMC6925306 DOI: 10.1038/s41598-019-55564-2] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2019] [Accepted: 11/29/2019] [Indexed: 11/24/2022] Open
Abstract
The excess low-frequency vibrational spectrum, called boson peak, and non-affine elastic response are the most important particularities of glasses. Herein, the vibrational and mechanical properties of polymeric glasses are examined by using coarse-grained molecular dynamics simulations, with particular attention to the effects of the bending rigidity of the polymer chains. As the rigidity increases, the system undergoes a glass transition at a higher temperature (under a constant pressure), which decreases the density of the glass phase. The elastic moduli, which are controlled by the decrease of the density and the increase of the rigidity, show a non-monotonic dependence on the rigidity of the polymer chain that arises from the non-affine component. Moreover, a clear boson peak is observed in the vibrational density of states, which depends on the macroscopic shear modulus G. In particular, the boson peak frequency ωBP is proportional to \documentclass[12pt]{minimal}
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\begin{document}$$\sqrt{G}$$\end{document}G. These results provide a positive correlation between the boson peak, shear elasticity, and the glass transition temperature.
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35
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Kawachi S, Atsumi M, Saito N, Ohashi N, Murakami Y, Yamaura JI. Structural and Thermal Properties in Formamidinium and Cs-Mixed Lead Halides. J Phys Chem Lett 2019; 10:6967-6972. [PMID: 31645099 DOI: 10.1021/acs.jpclett.9b02750] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Formamidinium [FA, HC(NH2)2+] lead iodide and its cation mixture have attracted interest as potentials in applications for efficient solar cells superior to well-known methylammonium lead iodide. We investigated the crystal structure and thermodynamic properties of high-quality single crystals of FA1-xCsxPbI3 for x = 0 and 0.1 through X-ray diffraction and heat capacity measurements. Both α-FA0.9Cs0.1PbI3 as well as α-FAPbI3 crystallize in a cubic Pm3̅m structure with orientationally disordered FA molecules confined in the nondistorted Pb-I framework. In FAPbI3, we observed a second-order transition at 280 K and two first-order transitions at 141.2 and 130.2 K in between β- and γ-phases instead of the previously known single β-γ transition. After doping with 10% Cs, the multiple first-order transitions disappeared, leading to phase transitions emerging at 300 and 149 K with second-order character. We moreover observed low-energy localized modes for both compounds, which is presumably tied to anomalous thermal motion, rattling, of the FA molecule.
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Affiliation(s)
- Shiro Kawachi
- Materials Research Center for Element Strategy , Tokyo Institute of Technology , Yokohama , Kanagawa 226-8503 , Japan
| | - Mika Atsumi
- National Institute for Materials Science (NIMS) , Tsukuba , Ibaraki 305-0044 , Japan
| | - Noriko Saito
- National Institute for Materials Science (NIMS) , Tsukuba , Ibaraki 305-0044 , Japan
| | - Naoki Ohashi
- Materials Research Center for Element Strategy , Tokyo Institute of Technology , Yokohama , Kanagawa 226-8503 , Japan
- National Institute for Materials Science (NIMS) , Tsukuba , Ibaraki 305-0044 , Japan
| | - Youichi Murakami
- Materials Research Center for Element Strategy , Tokyo Institute of Technology , Yokohama , Kanagawa 226-8503 , Japan
- Condensed Matter Research Center, Institute of Materials Structure Science , High Energy Accelerator Research Organization (KEK) , Tsukuba , Ibaraki 305-0801 , Japan
| | - Jun-Ichi Yamaura
- Materials Research Center for Element Strategy , Tokyo Institute of Technology , Yokohama , Kanagawa 226-8503 , Japan
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36
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Ghosh K, Krishnamurthy CV. Frenkel line crossover of confined supercritical fluids. Sci Rep 2019; 9:14872. [PMID: 31619694 PMCID: PMC6795815 DOI: 10.1038/s41598-019-49574-3] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2019] [Accepted: 08/28/2019] [Indexed: 11/09/2022] Open
Abstract
We investigate the temperature evolution of dynamics and structure of partially confined Lennard Jones (LJ) fluids in supercritical phase along an isobaric line in the P-T phase diagram using molecular dynamics simulations. We compare the Frenkel line (FL) crossover features of partially confined LJ fluids to that of the bulk LJ fluids in supercritical phase. Five different spacings have been chosen in this study and the FL crossover characteristics have been monitored for each of these spacings for temperatures ranging from 240 K to 1500 K keeping the pressure fixed at 5000 bar. We characterize the FL crossover using density of states (DoS) function and find that partially confined supercritical fluids (SCF) exhibit a progressive shift of FL crossover point to higher temperatures for smaller spacings. While the DoS perpendicular to the walls shows persistent oscillatory modes, the parallel component exhibits a smooth crossover from an oscillatory to non-oscillatory characteristics representative of FL crossover. We find that the vanishing of peaks in DoS parallel to the walls indicates that the SCF no longer supports shear mode excitations and could serve as an identifier of the FL crossover for confined systems just as is done for the bulk. Layer heights of density profiles, self-diffusivity and the peak heights of radial distribution function parallel to the walls also feature the FL crossover consistent with the DoS criteria. Surprisingly, self-diffusivity undergoes an Arrhenius to super-Arrhenius crossover at low temperatures for smaller spacings as a result of enhanced structural order evidenced via pair-excess entropy. This feature, typical of glass-forming liquids and binary supercooled liquids, is found to develop from the glass-like characteristic slowdown and strong caging in confined supercritical fluid, evidenced via mean squared displacement and velocity autocorrelation function respectively, over intermediate timescales.
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Affiliation(s)
- Kanka Ghosh
- Department of Physics, Indian Institute of Technology Madras, Chennai, 600036, India.
| | - C V Krishnamurthy
- Department of Physics, Indian Institute of Technology Madras, Chennai, 600036, India
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37
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Zheng Q, Zhang Y, Montazerian M, Gulbiten O, Mauro JC, Zanotto ED, Yue Y. Understanding Glass through Differential Scanning Calorimetry. Chem Rev 2019; 119:7848-7939. [DOI: 10.1021/acs.chemrev.8b00510] [Citation(s) in RCA: 154] [Impact Index Per Article: 30.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Qiuju Zheng
- School of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
| | - Yanfei Zhang
- School of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
| | - Maziar Montazerian
- Vitreous Materials Laboratory (LaMaV), Department of Materials Engineering (DEMa), Federal University of São Carlos (UFSCar), 13.565-905 São Carlos, SP, Brazil
| | - Ozgur Gulbiten
- Science and Technology Division, Corning Incorporated, Corning, New York 14831, United States
| | - John C. Mauro
- School of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Edgar D. Zanotto
- Vitreous Materials Laboratory (LaMaV), Department of Materials Engineering (DEMa), Federal University of São Carlos (UFSCar), 13.565-905 São Carlos, SP, Brazil
| | - Yuanzheng Yue
- School of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
- State Key Laboratory of Silicate Materials for Architectures, Wuhan University of Technology, Wuhan 430070, China
- Department of Chemistry and Bioscience, Aalborg University, DK-9220 Aalborg, Denmark
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38
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Pogna EAA, Chumakov AI, Ferrante C, Ramos MA, Scopigno T. Tracking the Connection between Disorder and Energy Landscape in Glasses Using Geologically Hyperaged Amber. J Phys Chem Lett 2019; 10:427-432. [PMID: 30615469 DOI: 10.1021/acs.jpclett.9b00003] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Fossil amber offers the unique opportunity to investigate an amorphous material that has been exploring its energy landscape for more than 110 million years of natural aging. By applying different X-ray scattering methods to amber before and after annealing the sample to erase its thermal history, we identify a link between the potential energy landscape and the structural and vibrational properties of glasses. We find that hyperaging induces a depletion of the vibrational density of states in the terahertz region, also ruling the sound dispersion and attenuation properties of the corresponding acoustic waves. Critically, this is accompanied by a densification with structural implications different in nature from that caused by hydrostatic compression. Our results, rationalized within the framework of fluctuating elasticity theory, reveal how upon approaching the bottom of the potential energy landscape (9% decrease in the fictive temperature) the elastic matrix becomes increasingly less disordered (6%) and longer-range correlated (22%).
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Affiliation(s)
- E A A Pogna
- Laboratorio NEST , CNR-INFM and Scuola Normale Superiore , Piazza San Silvestro 12 , I-56127 Pisa , Italy
- Dipartimento di Fisica , Politecnico di Milano , Piazza Leonardo da Vinci 32 , I-20133 Milano , Italy
| | - A I Chumakov
- ESRF-The European Synchrotron Radiation Facility CS40220 , F-38043 Grenoble Cedex, 9, France
- National Research Centre "Kurchatov Institute" , 123182 Moscow , Russia
| | - C Ferrante
- Dipartimento di Fisica , Universitá di Roma , La Sapienza , I-00185 Rome , Italy
- Center for Life Nano Science@Sapienza , Istituto Italiano di Tecnologia , Viale Regina, Elena 291 , 00161 Rome , Italy
| | - M A Ramos
- Laboratorio de Bajas Temperaturas, Departamento de Física de la Materia Condensada, Condensed Matter Physics Center (IFIMAC) and Instituto Nicolás Cabrera , Universidad Autónoma de Madrid , E-28049 Madrid , Spain
| | - T Scopigno
- Dipartimento di Fisica , Universitá di Roma , La Sapienza , I-00185 Rome , Italy
- Center for Life Nano Science@Sapienza , Istituto Italiano di Tecnologia , Viale Regina, Elena 291 , 00161 Rome , Italy
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39
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Yang J, Wang YJ, Ma E, Zaccone A, Dai LH, Jiang MQ. Structural Parameter of Orientational Order to Predict the Boson Vibrational Anomaly in Glasses. PHYSICAL REVIEW LETTERS 2019; 122:015501. [PMID: 31012708 DOI: 10.1103/physrevlett.122.015501] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/01/2018] [Indexed: 06/09/2023]
Abstract
It has so far remained a major challenge to quantitatively predict the boson peak, a THz vibrational anomaly universal for glasses, from features in the amorphous structure. Using molecular dynamics simulations of a model Cu_{50}Zr_{50} glass, we decompose the boson peak to contributions from atoms residing in different types of Voronoi polyhedra. We then introduce a microscopic structural parameter to depict the "orientational order," using the vector pointing from the center atom to the farthest vertex of its Voronoi coordination polyhedron. This order parameter represents the most probable direction of transverse vibration at low frequencies. Its magnitude scales linearly with the boson peak intensity, and its spatial distribution accounts for the quasilocalized modes. This correlation is shown to be universal for different types of glasses.
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Affiliation(s)
- J Yang
- State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- School of Engineering Science, University of Chinese Academy of Sciences, Beijing 101408, People's Republic of China
| | - Yun-Jiang Wang
- State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- School of Engineering Science, University of Chinese Academy of Sciences, Beijing 101408, People's Republic of China
| | - E Ma
- Department of Materials Science and Engineering, John Hopkins University, Baltimore, Maryland 21218, USA
| | - A Zaccone
- Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge CB2 3RA, United Kingdom
- Cavendish Laboratory, University of Cambridge, Cambridge CB3 9HE, United Kingdom
- Department of Physics, University of Milan, via Celoria 16, Milano 20133, Italy
| | - L H Dai
- State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- School of Engineering Science, University of Chinese Academy of Sciences, Beijing 101408, People's Republic of China
| | - M Q Jiang
- State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
- School of Engineering Science, University of Chinese Academy of Sciences, Beijing 101408, People's Republic of China
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40
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Giuntoli A, Leporini D. Boson Peak Decouples from Elasticity in Glasses with Low Connectivity. PHYSICAL REVIEW LETTERS 2018; 121:185502. [PMID: 30444381 DOI: 10.1103/physrevlett.121.185502] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/05/2018] [Revised: 09/07/2018] [Indexed: 06/09/2023]
Abstract
We perform molecular-dynamics simulations of the vibrational and elastoplastic properties of polymeric glasses and crystals and the corresponding atomic systems. We evidence that the elastic scaling of the density of states in the low-frequency boson peak (BP) region is different in crystals and glasses. Also, we see that the BP of the polymeric glass is nearly coincident with the one of the atomic glasses, thus revealing that the former-unlike the elasticity-is controlled by nonbonding interactions only. Our results suggest that the interpretation of the BP in terms of the macroscopic elasticity, discussed in highly connected systems, does not hold for systems with low connectivity.
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Affiliation(s)
- A Giuntoli
- Dipartimento di Fisica "Enrico Fermi," Università di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
| | - D Leporini
- Dipartimento di Fisica "Enrico Fermi," Università di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy and Istituto per i Processi Chimico-Fisici-Consiglio Nazionale delle Ricerche (IPCF-CNR), via Giuseppe Moruzzi 1, I-56124 Pisa, Italy
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41
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Dauphas N, Hu MY, Baker EM, Hu J, Tissot FLH, Alp EE, Roskosz M, Zhao J, Bi W, Liu J, Lin JF, Nie NX, Heard A. SciPhon: a data analysis software for nuclear resonant inelastic X-ray scattering with applications to Fe, Kr, Sn, Eu and Dy. JOURNAL OF SYNCHROTRON RADIATION 2018; 25:1581-1599. [PMID: 30179200 PMCID: PMC6140397 DOI: 10.1107/s1600577518009487] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2018] [Accepted: 07/02/2018] [Indexed: 06/01/2023]
Abstract
The synchrotron radiation technique of nuclear resonant inelastic X-ray scattering (NRIXS), also known as nuclear resonance vibrational spectroscopy or nuclear inelastic scattering, provides a wealth of information on the vibrational properties of solids. It has found applications in studies of lattice dynamics and elasticity, superconductivity, heme biochemistry, seismology, isotope geochemistry and many other fields. It involves probing the vibrational modes of solids by using the nuclear resonance of Mössbauer isotopes such as 57Fe, 83Kr, 119Sn, 151Eu and 161Dy. After data reduction, it provides the partial phonon density of states of the Mössbauer isotope that is investigated, as well as many other derived quantities such as the mean force constant of the chemical bonds and the Debye velocity. The data reduction is, however, not straightforward and involves removal of the elastic peak, normalization and Fourier-Log transformation. Furthermore, some of the quantities derived are highly sensitive to details in the baseline correction. A software package and several novel procedures to streamline and hopefully improve the reduction of the NRIXS data generated at sector 3ID of the Advanced Photon Source have been developed. The graphical user interface software is named SciPhon and runs as a Mathematica package. It is easily portable to other platforms and can be easily adapted for reducing data generated at other beamlines. Several tests and comparisons are presented that demonstrate the usefulness of this software, whose results have already been used in several publications. Here, the SciPhon software is used to reduce Kr, Sn, Eu and Dy NRIXS data, and potential implications for interpreting natural isotopic variations in those systems are discussed.
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Affiliation(s)
- Nicolas Dauphas
- Department of the Geophysical Sciences and Enrico Fermi Institute, The University of Chicago, 5734 South Ellis Avenue, Chicago, IL 60615, USA
| | - Michael Y. Hu
- Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439, USA
| | - Erik M. Baker
- Department of the Geophysical Sciences and Enrico Fermi Institute, The University of Chicago, 5734 South Ellis Avenue, Chicago, IL 60615, USA
- Department of Earth and Planetary Sciences, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA
| | - Justin Hu
- Department of the Geophysical Sciences and Enrico Fermi Institute, The University of Chicago, 5734 South Ellis Avenue, Chicago, IL 60615, USA
| | - Francois L. H. Tissot
- Department of the Geophysical Sciences and Enrico Fermi Institute, The University of Chicago, 5734 South Ellis Avenue, Chicago, IL 60615, USA
| | - E. Ercan Alp
- Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439, USA
| | - Mathieu Roskosz
- IMPMC-UMR CNRS 7590, Sorbonne Universités, UPMC, IRD, MNHN, Muséum National d’Histoire Naturelle, 61 Rue Buffon, 75005 Paris, France
| | - Jiyong Zhao
- Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439, USA
| | - Wenli Bi
- Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439, USA
| | - Jin Liu
- Department of Geological Sciences, Stanford University, Stanford, CA, USA
| | - Jung-Fu Lin
- Department of Geological Sciences, Jackson School of Geosciences, University of Texas at Austin, Austin, TX 78712, USA
| | - Nicole X. Nie
- Department of the Geophysical Sciences and Enrico Fermi Institute, The University of Chicago, 5734 South Ellis Avenue, Chicago, IL 60615, USA
| | - Andrew Heard
- Department of the Geophysical Sciences and Enrico Fermi Institute, The University of Chicago, 5734 South Ellis Avenue, Chicago, IL 60615, USA
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42
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Kapteijns G, Bouchbinder E, Lerner E. Universal Nonphononic Density of States in 2D, 3D, and 4D Glasses. PHYSICAL REVIEW LETTERS 2018; 121:055501. [PMID: 30118293 DOI: 10.1103/physrevlett.121.055501] [Citation(s) in RCA: 51] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2018] [Indexed: 06/08/2023]
Abstract
It is now well established that structural glasses possess disorder- and frustration-induced soft quasilocalized excitations, which play key roles in various glassy phenomena. Recent work has established that in model glass formers in three dimensions, these nonphononic soft excitations may assume the form of quasilocalized, harmonic vibrational modes whose frequency follows a universal density of states D(ω)∼ω^{4}, independently of microscopic details, and for a broad range of glass preparation protocols. Here, we further establish the universality of the nonphononic density of vibrational modes by direct measurements in model structural glasses in two dimensions and four dimensions. We also investigate their degree of localization, which is generally weaker in lower spatial dimensions, giving rise to a pronounced system-size dependence of the nonphononic density of states in two dimensions, but not in higher dimensions. Finally, we identify a fundamental glassy frequency scale ω_{c} above which the universal ω^{4} law breaks down.
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Affiliation(s)
- Geert Kapteijns
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
| | - Eran Bouchbinder
- 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, Netherlands
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43
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Beltukov YM, Parshin DA, Giordano VM, Tanguy A. Propagative and diffusive regimes of acoustic damping in bulk amorphous material. Phys Rev E 2018; 98:023005. [PMID: 30253567 DOI: 10.1103/physreve.98.023005] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/22/2018] [Indexed: 06/08/2023]
Abstract
In amorphous solids, a non-negligible part of thermal conductivity results from phonon scattering on the structural disorder. The conversion of acoustic energy into thermal energy is often measured by the dynamical dtructure factor (DSF) thanks to inelastic neutron or x-ray scattering. The DSF is used to quantify the dispersion relation of phonons, together with their damping. However, the connection of the dynamical structure factor with dynamical attenuation of wave packets in glasses is still a matter of debate. We focus here on the analysis of wave-packet propagation in numerical models of amorphous silicon. We show that the damped harmonic oscillator model fits of the dynamical structure factors give a good estimate of the wave packets mean free path, only below the Ioffe-Regel frequency. Above the Ioffe-Regel frequency and below the mobility edge, a pure diffusive regime without a definite mean free path is observed. The high-frequency mobility edge is characteristic of a transition to localized vibrations. Below the Ioffe-Regel frequency, a mixed regime is evidenced at intermediate frequencies, with a coexistence of propagative and diffusive wave fronts. The transition between these different regimes is analyzed in detail and reveals a complex dynamics for energy transport, thus raising the question of the correct modeling of thermal transport in amorphous materials.
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Affiliation(s)
- Y M Beltukov
- Ioffe Institute, 194021 St. Petersburg, Russian Federation and Université Montpellier II, CNRS, Montpellier 34095, France
| | - D A Parshin
- Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russian Federation
| | - V M Giordano
- Université de Lyon, LaMCoS, INSA-Lyon, CNRS UMR5259, F-69621, France and Institut Lumière Matière, UMR 5306 Université Lyon 1-CNRS, F-69622 Villeurbanne Cedex, France
| | - A Tanguy
- LaMCos, INSA-Lyon, CNRS UMR5259, Université de Lyon, F-69621 Villeurbanne Cedex, France
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44
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Benetti FPC, Parisi G, Pietracaprina F, Sicuro G. Mean-field model for the density of states of jammed soft spheres. Phys Rev E 2018; 97:062157. [PMID: 30011609 DOI: 10.1103/physreve.97.062157] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/10/2018] [Indexed: 06/08/2023]
Abstract
We propose a class of mean-field models for the isostatic transition of systems of soft spheres, in which the contact network is modeled as a random graph and each contact is associated to d degrees of freedom. We study such models in the hypostatic, isostatic, and hyperstatic regimes. The density of states is evaluated by both the cavity method and exact diagonalization of the dynamical matrix. We show that the model correctly reproduces the main features of the density of states of real packings and, moreover, it predicts the presence of localized modes near the lower band edge. Finally, the behavior of the density of states D(ω)∼ω^{α} for ω→0 in the hyperstatic regime is studied. We find that the model predicts a nontrivial dependence of α on the details of the coordination distribution.
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Affiliation(s)
- Fernanda P C Benetti
- Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 2, I-00185 Rome, Italy
| | - Giorgio Parisi
- Dipartimento di Fisica, Sapienza Università di Roma, INFN-Sezione di Roma1, and CNR-NANOTEC UOS Roma, Piazzale Aldo Moro 2, I-00185 Rome, Italy
| | - Francesca Pietracaprina
- Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 2, I-00185 Rome, Italy
- Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, France
| | - Gabriele Sicuro
- Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 2, I-00185 Rome, Italy
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45
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Ando MF, Benzine O, Pan Z, Garden JL, Wondraczek K, Grimm S, Schuster K, Wondraczek L. Boson peak, heterogeneity and intermediate-range order in binary SiO 2-Al 2O 3 glasses. Sci Rep 2018; 8:5394. [PMID: 29599479 PMCID: PMC5876364 DOI: 10.1038/s41598-018-23574-1] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/11/2017] [Accepted: 03/15/2018] [Indexed: 11/09/2022] Open
Abstract
In binary aluminosilicate liquids and glasses, heterogeneity on intermediate length scale is a crucial factor for optical fiber performance, determining the lower limit of optical attenuation and Rayleigh scattering, but also clustering and precipitation of optically active dopants, for example, in the fabrication of high-power laser gain media. Here, we consider the low-frequency vibrational modes of such materials for assessing structural heterogeneity on molecular scale. We determine the vibrational density of states VDoS g(ω) using low-temperature heat capacity data. From correlation with low-frequency Raman spectroscopy, we obtain the Raman coupling coefficient. Both experiments allow for the extraction of the average dynamic correlation length as a function of alumina content. We find that this value decreases from about 3.9 nm to 3.3 nm when mildly increasing the alumina content from zero (vitreous silica) to 7 mol%. At the same time, the average inter-particle distance increases slightly due to the presence of oxygen tricluster species. In accordance with Loewensteinian dynamics, this proves that mild alumina doping increases structural homogeneity on molecular scale.
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Affiliation(s)
- Mariana F Ando
- Otto Schott Institute of Materials Research, University of Jena, 07743, Jena, Germany
| | - Omar Benzine
- Otto Schott Institute of Materials Research, University of Jena, 07743, Jena, Germany
| | - Zhiwen Pan
- Otto Schott Institute of Materials Research, University of Jena, 07743, Jena, Germany
| | - Jean-Luc Garden
- Institut NÉEL, CNRS, 38042, Grenoble, France.,University Grenoble Alpes, Institut NÉEL, 38042, Grenoble, France
| | | | - Stephan Grimm
- Leibniz Institute of Photonic Technology, 07745, Jena, Germany
| | - Kay Schuster
- Leibniz Institute of Photonic Technology, 07745, Jena, Germany
| | - Lothar Wondraczek
- Otto Schott Institute of Materials Research, University of Jena, 07743, Jena, Germany. .,Abbe Center of Photonics, University of Jena, 07745, Jena, Germany.
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46
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Terao W, Mori T, Fujii Y, Koreeda A, Kabeya M, Kojima S. Boson peak dynamics of natural polymer starch investigated by terahertz time-domain spectroscopy and low-frequency Raman scattering. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2018; 192:446-450. [PMID: 29216599 DOI: 10.1016/j.saa.2017.11.051] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/27/2017] [Revised: 11/08/2017] [Accepted: 11/23/2017] [Indexed: 06/07/2023]
Abstract
Terahertz time-domain spectroscopy and low-frequency Raman scattering were performed on the natural polymer starch to investigate the boson peak (BP) dynamics. In the infrared spectrum, the BP was observed at 0.99THz at the lowest temperature. Compared to the result from a previous study for vitreous glucose, both the frequency of the BP and absorption coefficient show lower values than those of the vitreous glucose. These behaviors originate from the longer correlation length of the medium-range order and lower concentration of hydroxyl groups in the starch. In the Raman spectrum, the BP was observed at 1.1THz at room temperature, although the BP was not observed around room temperature due to the excess wing of the fast relaxation modes in the infrared spectrum. The temperature dependence of ε″(ν) during the heating process and cooling process shows a hysteresis below 230K. During the heating process, kinks were observed at 140K and 230K. These kinks are attributed to the β-relaxation and the βwet-relaxation, respectively.
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Affiliation(s)
- Wakana Terao
- Division of Materials Science, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan
| | - Tatsuya Mori
- Division of Materials Science, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan.
| | - Yasuhiro Fujii
- Department of Physical Sciences, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan
| | - Akitoshi Koreeda
- Department of Physical Sciences, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan
| | - Mikitoshi Kabeya
- Division of Materials Science, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan
| | - Seiji Kojima
- Division of Materials Science, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan
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47
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48
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Lerner E, Bouchbinder E. Frustration-induced internal stresses are responsible for quasilocalized modes in structural glasses. Phys Rev E 2018; 97:032140. [PMID: 29776173 DOI: 10.1103/physreve.97.032140] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2018] [Indexed: 06/08/2023]
Abstract
It has been recently shown [E. Lerner, G. Düring, and E. Bouchbinder, Phys. Rev. Lett. 117, 035501 (2016)PRLTAO0031-900710.1103/PhysRevLett.117.035501] that the nonphononic vibrational modes of structural glasses at low frequencies ω are quasilocalized and follow a universal density of states D(ω)∼ω^{4}. Here we show that the gapless nature of the observed density of states depends on the existence of internal stresses that generically emerge in glasses due to frustration, thus elucidating a basic element underlying this universal behavior. Similarly to jammed particulate packings, low-frequency modes in structural glasses emerge from a balance between a local elasticity term and an internal stress term in the dynamical matrix, where the difference between them is orders of magnitude smaller than their typical magnitude. By artificially reducing the magnitude of internal stresses in a computer glass former in three dimensions, we show that a gap is formed in the density of states below which no vibrational modes exist, thus demonstrating the crucial importance of internal stresses. Finally, we show that while better annealing the glass upon cooling from the liquid state significantly reduces its internal stresses, the self-organizational processes during cooling render the gapless D(ω)∼ω^{4} density of state unaffected.
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Affiliation(s)
- 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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49
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Hansen HW, Sanz A, Adrjanowicz K, Frick B, Niss K. Evidence of a one-dimensional thermodynamic phase diagram for simple glass-formers. Nat Commun 2018; 9:518. [PMID: 29410398 PMCID: PMC5802781 DOI: 10.1038/s41467-017-02324-3] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2017] [Accepted: 11/20/2017] [Indexed: 11/09/2022] Open
Abstract
Glass formers show motional processes over an extremely broad range of timescales, covering more than ten orders of magnitude, meaning that a full understanding of the glass transition needs to comprise this tremendous range in timescales. Here we report simultaneous dielectric and neutron spectroscopy investigations of three glass-forming liquids, probing in a single experiment the full range of dynamics. For two van der Waals liquids, we locate in the pressure-temperature phase diagram lines of identical dynamics of the molecules on both second and picosecond timescales. This confirms predictions of the isomorph theory and effectively reduces the phase diagram from two to one dimension. The implication is that dynamics on widely different timescales are governed by the same underlying mechanisms.
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Affiliation(s)
- H W Hansen
- Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, Postbox 260, DK-4000, Roskilde, Denmark
| | - A Sanz
- Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, Postbox 260, DK-4000, Roskilde, Denmark
| | - K Adrjanowicz
- Institute of Physics, University of Silesia, ul. Uniwersytecka 4, 40-007, Katowice, Poland
| | - B Frick
- Institut Laue-Langevin, 71 avenue des Martyrs, CS 20156, 38042, Grenoble Cedex 9, France
| | - K Niss
- Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, Postbox 260, DK-4000, Roskilde, Denmark.
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50
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Zorn R, Yin H, Lohstroh W, Harrison W, Budd PM, Pauw BR, Böhning M, Schönhals A. Anomalies in the low frequency vibrational density of states for a polymer with intrinsic microporosity – the Boson peak of PIM-1. Phys Chem Chem Phys 2018; 20:1355-1363. [DOI: 10.1039/c7cp07141h] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Abstract
For the first time the low frequency vibrational density of states is reported for a polymer with intrinsic microporosity.
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Affiliation(s)
- Reiner Zorn
- Jülich Centre for Neutron Science JCNS and Institute for Complex Systems ICS
- Forschungszentrum Jülich
- 52425 Jülich
- Germany
| | - Huajie Yin
- Bundesanstalt für Materialforschung und-prüfung (BAM)
- 12205 Berlin
- Germany
| | - Wiebke Lohstroh
- Heinz Maier-Leibnitz Zentrum (MLZ)
- Technische Universität München
- 85748 Garching
- Germany
| | - Wayne Harrison
- The University of Manchester
- School of Chemistry
- Manchester M13 9PL
- UK
| | - Peter M. Budd
- The University of Manchester
- School of Chemistry
- Manchester M13 9PL
- UK
| | - Brian R. Pauw
- Bundesanstalt für Materialforschung und-prüfung (BAM)
- 12205 Berlin
- Germany
| | - Martin Böhning
- Bundesanstalt für Materialforschung und-prüfung (BAM)
- 12205 Berlin
- Germany
| | - Andreas Schönhals
- Bundesanstalt für Materialforschung und-prüfung (BAM)
- 12205 Berlin
- Germany
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