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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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Antonatos N, Mazánek V, Lazar P, Sturala J, Sofer Z. Acetonitrile-assisted exfoliation of layered grey and black arsenic: contrasting properties. NANOSCALE ADVANCES 2020; 2:1282-1289. [PMID: 36133055 PMCID: PMC9417731 DOI: 10.1039/c9na00754g] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2019] [Accepted: 02/03/2020] [Indexed: 06/13/2023]
Abstract
In recent years, two-dimensional monoelemental nanostructures beyond graphene have received great attention due to their outstanding properties. Out of these elements, only arsenic is known to form different allotropes with a layered structure in the bulk form. Orthorhombic arsenic, also termed "black arsenic", is a metastable form of arsenic with a structure analogous to that of black phosphorus and rhombohedral arsenic is known as "grey arsenic". Here, we compare the exfoliation of black and grey arsenic in acetonitrile in high yield forming stable colloidal solutions of exfoliated materials. Together with the exfoliation procedure, detailed structural and chemical analyses are provided and potential applications in gas sensing and photothermal absorption are demonstrated for potential future arsenic-based devices.
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Affiliation(s)
- Nikolas Antonatos
- Department of Inorganic Chemistry, University of Chemistry and Technology Prague Technická 5, 166 28 Prague 6 Czech Republic
| | - Vlastimil Mazánek
- Department of Inorganic Chemistry, University of Chemistry and Technology Prague Technická 5, 166 28 Prague 6 Czech Republic
| | - Petr Lazar
- Regional Centre of Advanced Technologies and Materials, Faculty of Science, Palacký University Olomouc tř. 17. listopadu 12 77 146 Olomouc Czech Republic
| | - Jiri Sturala
- Department of Inorganic Chemistry, University of Chemistry and Technology Prague Technická 5, 166 28 Prague 6 Czech Republic
| | - Zdeněk Sofer
- Department of Inorganic Chemistry, University of Chemistry and Technology Prague Technická 5, 166 28 Prague 6 Czech Republic
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Baldi G, Giordano VM, Ruta B, Dal Maschio R, Fontana A, Monaco G. Anharmonic damping of terahertz acoustic waves in a network glass and its effect on the density of vibrational states. PHYSICAL REVIEW LETTERS 2014; 112:125502. [PMID: 24724658 DOI: 10.1103/physrevlett.112.125502] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/06/2013] [Indexed: 06/03/2023]
Abstract
We report the observation, by means of high-resolution inelastic x-ray scattering, of an unusually large temperature dependence of the sound attenuation of a network glass at terahertz frequency, an unprecedentedly observed phenomenon. The anharmonicity can be ascribed to the interaction between the propagating acoustic wave and the bath of thermal vibrations. At low temperatures the sound attenuation follows a Rayleigh-Gans scattering law. As the temperature is increased the anharmonic process sets in, resulting in an almost quadratic frequency dependence of the damping in the entire frequency range. We show that the temperature variation of the sound damping accounts quantitatively for the temperature dependence of the density of vibrational states.
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Affiliation(s)
- G Baldi
- IMEM-CNR Institute, Parma Science Park, I-43124 Parma, Italy
| | - V M Giordano
- Institut Lumière Matière, UMR 5306 Université Lyon 1-CNRS, Université de Lyon, F-69622 Villeurbanne, France and SIMAP, UJF, CNRS, INP Grenoble, F-38402 St. Martin d'Heres, France
| | - B Ruta
- European Synchrotron Radiation Facility, BP220, F-38043 Grenoble, France
| | - R Dal Maschio
- Industrial Engineering Department, Trento University, I-38123 Trento, Italy
| | - A Fontana
- Physics Department, Trento University, I-38123 Povo, Trento, Italy and IPCF-CNR, UOS of Roma, c/o Roma University "La Sapienza," I-00185 Roma, Italy
| | - G Monaco
- Physics Department, Trento University, I-38123 Povo, Trento, Italy
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Feldman JL, Allen PB. Theory and Calculation of the Thermal Conductivity of Amorphous Si. ACTA ACUST UNITED AC 2011. [DOI: 10.1557/proc-141-219] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
AbstractVibrations of amorphous Si are represented by three available 216 atom models and the forces of Stillinger and Weber. It is shown how the Kubo formula for thermal conductivity can be evaluated “exactly” assuming harmonic vibrations, making only finite system-size errors. The results are rather insensitive to the particular model for the coordinates of the atoms and support a “shunt resistor model” for the thermal conductivity which fits data for glasses very well.
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D’Angelo G, Crupi C, Tripodo G, Salvato G. Relation between Low-Temperature Thermal Conductivity and the Specific Heat of Cesium Borate Glasses. J Phys Chem B 2010; 114:2467-75. [DOI: 10.1021/jp907152y] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- G. D’Angelo
- Dipartimento di Fisica, Universita’ di Messina, Salita Sperone 31, I-98166 Messina, Italy, and Istituto per i Processi Chimico−Fisici del C. N. R., Sezione di Messina, Salita Sperone, I-98166 Messina, Italy
| | - C. Crupi
- Dipartimento di Fisica, Universita’ di Messina, Salita Sperone 31, I-98166 Messina, Italy, and Istituto per i Processi Chimico−Fisici del C. N. R., Sezione di Messina, Salita Sperone, I-98166 Messina, Italy
| | - G. Tripodo
- Dipartimento di Fisica, Universita’ di Messina, Salita Sperone 31, I-98166 Messina, Italy, and Istituto per i Processi Chimico−Fisici del C. N. R., Sezione di Messina, Salita Sperone, I-98166 Messina, Italy
| | - G. Salvato
- Dipartimento di Fisica, Universita’ di Messina, Salita Sperone 31, I-98166 Messina, Italy, and Istituto per i Processi Chimico−Fisici del C. N. R., Sezione di Messina, Salita Sperone, I-98166 Messina, Italy
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Levelut C, Pelous J. Acoustic properties of a porous glass (vycor) at hypersonic frequencies. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2007; 19:416110. [PMID: 28192342 DOI: 10.1088/0953-8984/19/41/416110] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Brillouin scattering experiments have been performed from 5 to 1600 K in vycor, a porous silica glass. The acoustic velocity and attenuation at hypersonic frequencies are compared to those of bulk silica and others porous silica samples. The experimental evidence for the influence of porosity on the scattering by acoustic waves is compared to calculations. The correlation between internal friction and thermal conductivity at low temperature is discussed.
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Affiliation(s)
- C Levelut
- Laboratoire des Colloïdes, Verres et Nanomatériaux, CNRS/UMR5587, Université Montpellier II, cc 69, 34095 Montpellier cedex, France
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Carini G, D'angelo G, Tripodo G, Saunders GA. Specific heat and low-energy excitations of samarium phosphate glasses. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418639508238544] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- G. Carini
- a Dipartamento di Fisica , Universitá di Messina , Contrada Papardo Salita Sperone, 31, 98010 , S. Agata, Messina , Italy
| | - G. D'angelo
- a Dipartamento di Fisica , Universitá di Messina , Contrada Papardo Salita Sperone, 31, 98010 , S. Agata, Messina , Italy
| | - G. Tripodo
- a Dipartamento di Fisica , Universitá di Messina , Contrada Papardo Salita Sperone, 31, 98010 , S. Agata, Messina , Italy
| | - G. A. Saunders
- b School of Physics, University of Bath , Claverton Down, Bath , England
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Brassington MP, Lambson WA, Miller AJ, Saunders GA, Yogurtçu YK. The second- and third-order elastic constants of amorphous arsenic. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418638008225644] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- M. P. Brassington
- a School of Physics, University of Bath , Claverton Down, Bath , BA2 7AY , England
| | - W. A. Lambson
- a School of Physics, University of Bath , Claverton Down, Bath , BA2 7AY , England
| | - A. J. Miller
- a School of Physics, University of Bath , Claverton Down, Bath , BA2 7AY , England
| | - G. A. Saunders
- a School of Physics, University of Bath , Claverton Down, Bath , BA2 7AY , England
| | - Y. K. Yogurtçu
- a School of Physics, University of Bath , Claverton Down, Bath , BA2 7AY , England
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Fasol G, Yoffe AD, Davis EA. Time-resolved luminescence study of recombination and defects in amorphous phosphorus. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/15/28/017] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Long AR, Hanna AC, MacLeod AM. The scattering of phonons in thin films of amorphous silica. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/19/4/009] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Scholten AJ, Akimov AV, Dijkhuis JI. Transport of 29 cm-1 phonons in hydrogenated amorphous silicon. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:12151-12161. [PMID: 9985074 DOI: 10.1103/physrevb.54.12151] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Malyshkin V, McGurn AR. Computer-simulation study of the thermal conductivity of amorphous insulating solids. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:2980-2983. [PMID: 9986179 DOI: 10.1103/physrevb.54.2980] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Liu X, Löhneysen H. Low-temperature thermal properties of amorphous AsxSe1-x. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:13486-13494. [PMID: 10007744 DOI: 10.1103/physrevb.48.13486] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Analysis of the low-temperature specific heat of amorphous As x Se1−x within the soft-potential model. ACTA ACUST UNITED AC 1993. [DOI: 10.1007/bf01308807] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Buchenau U, Galperin YM, Gurevich VL, Parshin DA, Ramos MA, Schober HR. Interaction of soft modes and sound waves in glasses. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:2798-2808. [PMID: 10003968 DOI: 10.1103/physrevb.46.2798] [Citation(s) in RCA: 137] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Grace JM, Anderson AC. Low-temperature specific heat and thermal conductivity of a glassy polymer under applied pressure. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:1901-1917. [PMID: 9992052 DOI: 10.1103/physrevb.40.1901] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Allen PB, Feldman JL. Thermal conductivity of glasses: Theory and application to amorphous Si. PHYSICAL REVIEW LETTERS 1989; 62:645-648. [PMID: 10040292 DOI: 10.1103/physrevlett.62.645] [Citation(s) in RCA: 61] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Raychaudhuri AK. Origin of the plateau in the low-temperature thermal conductivity of silica. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:1927-1931. [PMID: 9948412 DOI: 10.1103/physrevb.39.1927] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cahill DG, Pohl RO. Thermal properties of a tetrahedrally bonded amorphous solid: CdGeAs2. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:8773-8780. [PMID: 9944242 DOI: 10.1103/physrevb.37.8773] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Graebner JE, Golding B, Allen LC. Phonon localization in glasses. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:5696-5701. [PMID: 9940407 DOI: 10.1103/physrevb.34.5696] [Citation(s) in RCA: 146] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Graebner JE, Golding B. Phonon localization in aggregates. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:5788-5790. [PMID: 9940419 DOI: 10.1103/physrevb.34.5788] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Grace JM, Anderson AC. Low-temperature thermal properties of a sol-gel glass. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 33:7186-7191. [PMID: 9938049 DOI: 10.1103/physrevb.33.7186] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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v. Löhneysen H, Rüsing H, Sander W. Structural relaxation effects on the low-temperature properties of vitreous silica. ACTA ACUST UNITED AC 1985. [DOI: 10.1007/bf01304451] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Grondey S, v. Löhneysen H, Schink HJ, Samwer K. Effect of structural relaxation on low energy excitations in amorphous Zr x Cu1−x. ACTA ACUST UNITED AC 1983. [DOI: 10.1007/bf01319210] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Loponen M, Dynes R, Narayanamurti V, Garno J. The time dependent specific heat of dielectric glasses. ACTA ACUST UNITED AC 1982. [DOI: 10.1016/0378-4363(82)90211-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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