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Louzguine-Luzgin DV. Structural Changes in Metallic Glass-Forming Liquids on Cooling and Subsequent Vitrification in Relationship with Their Properties. Materials (Basel) 2022; 15:7285. [PMID: 36295350 PMCID: PMC9610435 DOI: 10.3390/ma15207285] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/12/2022] [Revised: 09/30/2022] [Accepted: 10/06/2022] [Indexed: 06/16/2023]
Abstract
The present review is related to the studies of structural changes observed in metallic glass-forming liquids on cooling and subsequent vitrification in terms of radial distribution function and its analogues. These structural changes are discussed in relationship with liquid's properties, especially the relaxation time and viscosity. These changes are found to be directly responsible for liquid fragility: deviation of the temperature dependence of viscosity of a supercooled liquid from the Arrhenius equation through modification of the activation energy for viscous flow. Further studies of this phenomenon are necessary to provide direct mathematical correlation between the atomic structure and properties.
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Affiliation(s)
- D. V. Louzguine-Luzgin
- Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Aoba-Ku, Sendai 980-8577, Japan;
- MathAM-OIL, National Institute of Advanced Industrial Science and Technology (AIST), Sendai 980-8577, Japan
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2
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Jin X, Zhang Y, Wang JQ, Huo J, Wang LM. Quantifying Concentration Fluctuations in Binary Glass-Forming Systems by Small- and Wide-Angle X-ray Scattering. J Phys Chem Lett 2022; 13:2205-2210. [PMID: 35232020 DOI: 10.1021/acs.jpclett.2c00011] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Functionality of amorphous multicomponent systems largely depends upon the miscibility among components, especially in systems such as amorphous drugs and electrolytes. An in-depth understanding of mixing behaviors of various constituents is necessitated. Here, we applied the small- and wide-angle X-ray scattering (SWAXS) technique to monitor the mixing behaviors in three typical glass-forming binary systems imposed by varied heat of mixing. It is found that the Porod invariant (Q) determined at the glass transition temperature is remarkably enhanced as the concentration fluctuation becomes intensified. Meanwhile, the deviation of Q from the ideal mixing law is markedly weaken at elevated temperatures. The results unambiguously suggest that the degree of concentration fluctuations in mixing systems can be accurately quantified by the structural property, allowing the link to mixing thermodynamics.
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Affiliation(s)
- Xiao Jin
- State Key Laboratory of Metastable Materials Science and Technology and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, People's Republic of China
| | - Yanhui Zhang
- State Key Laboratory of Metastable Materials Science and Technology and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, People's Republic of China
| | - Jun-Qiang Wang
- CAS Key Laboratory of Magnetic Materials and Devices and Zhejiang Province Key Laboratory of Magnetic Materials and Application Technology, Ningbo Institute of Materials Technology and Engineering, Chinese Academy of Sciences, Ningbo, Zhejiang 315201, People's Republic of China
| | - Juntao Huo
- CAS Key Laboratory of Magnetic Materials and Devices and Zhejiang Province Key Laboratory of Magnetic Materials and Application Technology, Ningbo Institute of Materials Technology and Engineering, Chinese Academy of Sciences, Ningbo, Zhejiang 315201, People's Republic of China
| | - Li-Min Wang
- State Key Laboratory of Metastable Materials Science and Technology and College of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, People's Republic of China
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Firlus A, Stoica M, Michalik S, Schäublin RE, Löffler JF. Atomic structure evolution related to the Invar effect in Fe-based bulk metallic glasses. Nat Commun 2022; 13:1082. [PMID: 35228553 PMCID: PMC8885758 DOI: 10.1038/s41467-022-28650-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2021] [Accepted: 01/27/2022] [Indexed: 11/17/2022] Open
Abstract
The Invar effect is universally observed in Fe-based bulk metallic glasses. However, there is limited understanding on how this effect manifests at the atomic scale. Here, we use in-situ synchrotron-based high-energy X-ray diffraction to study the structural transformations of (Fe71.2B24Y4.8)96Nb4 and (Fe73.2B22Y4.8)95Mo5 bulk metallic glasses around the Curie temperature to understand the Invar effect they exhibit. The first two diffraction peaks shift in accordance with the macroscopically measured thermal expansion, which reveals the Invar effect. Additionally, the nearest-neighbor Fe–Fe pair distance correlates well with the macroscopic thermal expansion. In-situ X-ray diffraction is thus able to elucidate the Invar effect in Fe-based metallic glasses at the atomic scale. Here, we find that the Invar effect is not just a macroscopic effect but has a clear atomistic equivalent in the average Fe–Fe pair distance and also shows itself in higher-order atomic shells composed of multiple atom species. There is limited understanding of the Invar effect at atomic scale. Here the authors show that the Invar effect is not only a macroscopic effect, but also has a clear atomistic equivalent in the average distance of Fe–Fe pair as well as higher-order atomic shells composed of multiple atom species.
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Deshmukh AA, Bhatt JG, Gade PM, Pal S. Investigation of structural evolution in the Cu-Zr metallic glass at cryogenic temperatures by using molecular dynamics simulations. J Mol Model 2021; 27:286. [PMID: 34524543 DOI: 10.1007/s00894-021-04886-y] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/27/2020] [Accepted: 08/19/2021] [Indexed: 10/20/2022]
Abstract
In the present work, investigation of structural evolution of Cu33Zr67 specimen during the cooling process from 2500 down to the 300 K, 200 K, 150 K, 100 K, 50 K, and 10 K has been performed at cooling rate of 5 K/ps using molecular dynamics simulation. The pair distribution function (PDF) reveals that Zr‒Zr pair causes the splitting of the first peak of the Cu33Zr67 glass at a lower temperature with an increase in height. Splitting of the first and second peaks supports the presence of the inhomogeneous structure with a statistical average of crystal-like and disordered structural regions in the Cu33Zr67 glass. Voronoi cluster analysis indicated that quasi icosahedral clusters such as < 284 > , < 0285 > , and < 0282 > ; mixed-type cluster such as < 0364 > ; and crystal-like clusters such as < 0446 > are responsible for stabilization of glassy phase at 300 K, 200 K, 150 K, 100 K, 50 K, and 10 K. Similarly, the maximum population of the Cu-centered and Zr-centered < 0286 > quasi icosahedral clusters support the stability of the glassy phase over the studied temperature range. Besides, the maximum population of Cu-centered < 0367 > and Zr-centered < 0364 > , < 0367 > , < 0363 > , and < 0365 > mixed-type clusters and Cu-centered < 0448 > and Zr-centered < 0448 > , < 0445 > , < 0446 > , and < 0444 > crystal-like clusters support the possibility of the presence of intermediate phase of CuZr2 at lower temperatures as observed from PDFs. Mean square displacement (MSD) for the Cu33Zr67 glass shows that the diffusion coefficient of Cu and Zr atoms reduces with decreasing temperature from 300 to 10 K. Diversity parameter (d) was found to decrease with decreasing temperature.
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Van Hoesen DC, Gangopadhyay AK, Lohöfer G, Sellers ME, Pueblo CE, Koch S, Galenko PK, Kelton KF. Resistivity Saturation in Metallic Liquids Above a Dynamical Crossover Temperature Observed in Measurements Aboard the International Space Station. Phys Rev Lett 2019; 123:226601. [PMID: 31868400 DOI: 10.1103/physrevlett.123.226601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/06/2019] [Revised: 10/23/2019] [Indexed: 06/10/2023]
Abstract
Although a resistivity saturation (minimum conductivity) is often observed in disordered metallic solids, such phenomena in the corresponding liquids are not known. Here we report a saturation of the electrical resistivity in Zr_{64}Ni_{36} and Cu_{50}Zr_{50} liquids above a dynamical crossover temperature for the viscosity (T_{A}). The measurements were made for the levitated liquids under the microgravity conditions of the International Space Station. Based on recent molecular dynamics simulations, the saturation is likely due to the ineffectiveness of electron-phonon scattering above T_{A} when the phonon lifetime becomes too short compared to the electron relaxation time. This is different from the conventional resistivity saturation mechanisms in solids.
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Affiliation(s)
- D C Van Hoesen
- Department of Physics and the Institute of Materials Science and Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - A K Gangopadhyay
- Department of Physics and the Institute of Materials Science and Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - G Lohöfer
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 51170 Köln, Germany
| | - M E Sellers
- Department of Physics and the Institute of Materials Science and Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - C E Pueblo
- Department of Physics and the Institute of Materials Science and Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - S Koch
- Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany
| | - P K Galenko
- Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany
| | - K F Kelton
- Department of Physics and the Institute of Materials Science and Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
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Louzguine-Luzgin DV, Miyama M, Nishio K, Tsarkov AA, Greer AL. Vitrification and nanocrystallization of pure liquid Ni studied using molecular-dynamics simulation. J Chem Phys 2019; 151:124502. [PMID: 31575179 DOI: 10.1063/1.5119307] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Abstract
Structural variation, vitrification, and crystallization processes in liquid nickel are simulated on continuous cooling and isothermal holding using a classical molecular-dynamics computer simulation procedure with an embedded-atom method potential at constant pressure. Structural changes are monitored with direct structure observation in the simulation cells, as well as by pair distribution and radial distribution functions created using the atomic coordinates. A cluster analysis is also performed. The crystallization kinetics is analyzed under isothermal conditions by monitoring density and energy variation as a function of time. As a result, a time-temperature-transformation diagram can be constructed over a wide temperature range.
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Affiliation(s)
- D V Louzguine-Luzgin
- MathAM-OIL, National Institute of Advanced Industrial Science and Technology (AIST), Sendai 980-8577, Japan
| | - M Miyama
- Department of Applied Information Sciences, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan
| | - K Nishio
- MathAM-OIL, National Institute of Advanced Industrial Science and Technology (AIST), Sendai 980-8577, Japan
| | - A A Tsarkov
- National University of Science and Technology "MISiS", Moscow 119049, Russia
| | - A L Greer
- WPI Advanced Institute for Materials Research, Tohoku University, Aoba-Ku, Sendai 980-8577, Japan
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Zhang W, Wang X, Cao QP, Zhang D, Jiang JZ. Temperature Dependences of Peak Positions in Pair Distribution Function of Metallic Liquids. J Phys Chem B 2019; 123:7055-7060. [PMID: 31365259 DOI: 10.1021/acs.jpcb.9b05258] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The temperature dependences of the peak positions in pair distribution functions G(r) of pure metallic zinc (Zn) and indium (In) liquids have been studied using high-energy X-ray diffraction together with ab initio molecular dynamic simulations. It has been demonstrated that the first peak positions in G(r) of both Zn and In move to small r, whereas the second peak positions exhibit opposite movements with increasing temperature, originating from different thermal responses of polyhedron connections. However, the third, above peaks in G(r) in both liquids shift to large r with the expansion coefficients smaller than the values of bulk liquids.
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Filippov VV, Yagodin DA, Shunyaev KY, Leont’ev LI. Electrical Resistivity of Cu–Zr Melts. Dokl Phys Chem 2019. [DOI: 10.1134/s0012501618120035] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Gangopadhyay AK, Kelton KF. A re-evaluation of thermal expansion measurements of metallic liquids and glasses from x-ray scattering experiments. J Chem Phys 2018; 148:204509. [PMID: 29865799 DOI: 10.1063/1.5032319] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Previous studies reported a number of anomalies when estimates of linear thermal expansion coefficients of metallic liquids and glasses from x-ray scattering experiments were compared with direct measurements of volume/length changes with temperature. In most cases, the first peak of the pair correlation function showed a contraction, while the structure factor showed an expansion, but both at rates much different from those expected from the direct volume measurements. In addition, the relationship between atomic volume and the characteristic lengths obtained from the structure factor from scattering experiments was found to have a fractional exponent instead of one equal to three, as expected from the Ehrenfest relation. This has led to the speculation that the atomic packing in liquids and glasses follow a fractal behavior. These issues are revisited in this study using more in-depth analysis of recent higher resolution data and some new ideas suggested in the literature. The main conclusion is that for metallic alloys, at least to a large extent, most of these anomalies arise from complicated interplays of the temperature dependences of the various partial structure factors, which contribute to the total intensities of the scattering peaks.
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Affiliation(s)
- A K Gangopadhyay
- Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - K F Kelton
- Department of Physics, Washington University in St. Louis, St. Louis, Missouri 63130, USA
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Gangopadhyay AK, Pueblo CE, Dai R, Johnson ML, Ashcraft R, Van Hoesen D, Sellers M, Kelton KF. Correlation of the fragility of metallic liquids with the high temperature structure, volume, and cohesive energy. J Chem Phys 2017; 146:154506. [DOI: 10.1063/1.4981011] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
Affiliation(s)
- A. K. Gangopadhyay
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - C. E. Pueblo
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - R. Dai
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - M. L. Johnson
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - R. Ashcraft
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - D. Van Hoesen
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - M. Sellers
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
| | - K. F. Kelton
- Department of Physics and Institute of Materials Science & Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA
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Kelton KF. Kinetic and structural fragility-a correlation between structures and dynamics in metallic liquids and glasses. J Phys Condens Matter 2017; 29:023002. [PMID: 27841996 DOI: 10.1088/0953-8984/29/2/023002] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/08/2023]
Abstract
The liquid phase remains poorly understood. In many cases, the densities of liquids and their crystallized solid phases are similar, but since they are amorphous they lack the spatial order of the solid. Their dynamical properties change remarkably over a very small temperature range. At high temperatures, near their melting temperature, liquids flow easily under shear. However, only a few hundred degrees lower flow effectively ceases, as the liquid transforms into a solid-like glass. This temperature-dependent dynamical behavior is frequently characterized by the concept of kinetic fragility (or, generally, simply fragility). Fragility is believed to be an important quantity in glass formation, making it of significant practical interest. The microscopic origin of fragility remains unclear, however, making it also of fundamental interest. It is widely (although not uniformly) believed that the dynamical behavior is linked to the atomic structure of the liquid, yet experimental studies show that although the viscosity changes by orders of magnitude with temperature, the structural change is barely perceptible. In this article the concept of fragility is discussed, building to a discussion of recent results in metallic glass-forming liquids that demonstrate the presumed connection between structural and dynamical changes. In particular, it becomes possible to define a structural fragility parameter that can be linked with the kinetic fragility.
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Affiliation(s)
- K F Kelton
- Department of Physics and the Institute of Materials Science and Engineering, Washington University, St. Louis, MO 63130, USA
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Affiliation(s)
- Sergey V. Sukhomlinov
- Department of Materials Science and Engineering, Saarland University, 66111 Saarbrücken, Germany
| | - Martin H. Müser
- Department of Materials Science and Engineering, Saarland University, 66111 Saarbrücken, Germany
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Miskowiec A, Kirkegaard MC, Huq A, Mamontov E, Herwig KW, Trowbridge L, Rondinone A, Anderson B. Structural Phase Transitions and Water Dynamics in Uranyl Fluoride Hydrates. J Phys Chem A 2015; 119:11900-10. [DOI: 10.1021/acs.jpca.5b09296] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Andrew Miskowiec
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - Marie C. Kirkegaard
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
- University of Tennessee - Knoxville, Knoxville, Tennessee 37996, United States
| | | | | | | | - Lee Trowbridge
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | | | - Brian Anderson
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
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