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Kojima S. Poisson's Ratio of Glasses, Ceramics, and Crystals. MATERIALS (BASEL, SWITZERLAND) 2024; 17:300. [PMID: 38255468 PMCID: PMC10817342 DOI: 10.3390/ma17020300] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/16/2023] [Revised: 01/04/2024] [Accepted: 01/04/2024] [Indexed: 01/24/2024]
Abstract
Poisson's ratio is the fundamental metric used to discuss the performance of any material when strained elastically. However, the methods of the determination of Poisson's ratio are not yet discussed well. The first purpose of this paper is to introduce the five kinds of typical experimental methods to measure Poisson's ratio of glasses, ceramics, and crystals. The second purpose is to discuss the experimental results on the variation of Poisson's ratio by composition, temperature, and pressure reviewed for various glasses, ceramics, and crystals, which are not yet reviewed. For example, in oxide glasses, the number of bridging oxygen atoms per glass-forming cation provides a straightforward estimation of network crosslinking using Poisson's ratio. In the structural-phase transition of crystals, Poisson's ratio shows remarkable temperature-dependence in the vicinity of a phase-transition temperature. The mechanism of these variations is discussed from physical and chemical points of view. The first-principles calculation of Poisson's ratio in the newly hypothesized compounds is also described, and its pressure-induced ductile-brittle transition is discussed.
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Affiliation(s)
- Seiji Kojima
- Division of Materials Science, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan
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2
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Liu X, Li X, Wang J, Feng S, Wang LM. Unveiling the strong dependence of the α-relaxation dispersion on mixing thermodynamics in binary glass-forming liquids. Phys Chem Chem Phys 2021; 23:5644-5651. [PMID: 33656027 DOI: 10.1039/d0cp06358d] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Structural α-relaxation dispersion in binary molecular glass forming mixtures with distinct mixing enthalpy ΔHmix was investigated using enthalpic and dielectric relaxation measurements across the entire composition range. This study focused on the dependence of the relaxation dispersion on the mixing thermodynamics by determining the non-exponential exponent β, and its composition dependence. The β values determined by the enthalpic and dielectric relaxations agree well. Remarkably, it is found that the systems with positive enthalpy of mixing (exothermic, ΔHmix >0) have positive deviations in the composition dependence of β from the linear averaging of the two β values of the pure components, while negative deviations are observed for the systems with negative enthalpy of mixing (endothermic, ΔHmix <0). Furthermore, the relation between the non-exponential behaviors and entropy of mixing is discussed, revealing that the positive or negative deviation of β in its composition dependence on mixing is accompanied by the same sign of the excess entropy of mixing relative to the ideal one.
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Affiliation(s)
- Xin Liu
- State Key Lab of Metastable Materials Science and Technology, and School of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China.
| | - Xudong Li
- State Key Lab of Metastable Materials Science and Technology, and School of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China.
| | - Ji Wang
- State Key Lab of Metastable Materials Science and Technology, and School of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China.
| | - Shidong Feng
- State Key Lab of Metastable Materials Science and Technology, and School of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China.
| | - Li-Min Wang
- State Key Lab of Metastable Materials Science and Technology, and School of Materials Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China.
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3
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To T, Sørensen SS, Stepniewska M, Qiao A, Jensen LR, Bauchy M, Yue Y, Smedskjaer MM. Fracture toughness of a metal-organic framework glass. Nat Commun 2020; 11:2593. [PMID: 32444664 PMCID: PMC7244719 DOI: 10.1038/s41467-020-16382-7] [Citation(s) in RCA: 42] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2019] [Accepted: 04/30/2020] [Indexed: 11/20/2022] Open
Abstract
Metal-organic framework glasses feature unique thermal, structural, and chemical properties compared to traditional metallic, organic, and oxide glasses. So far, there is a lack of knowledge of their mechanical properties, especially toughness and strength, owing to the challenge in preparing large bulk glass samples for mechanical testing. However, a recently developed melting method enables fabrication of large bulk glass samples (>25 mm3) from zeolitic imidazolate frameworks. Here, fracture toughness (KIc) of a representative glass, namely ZIF-62 glass (Zn(C3H3N2)1.75(C7H5N2)0.25), is measured using single-edge precracked beam method and simulated using reactive molecular dynamics. KIc is determined to be ~0.1 MPa m0.5, which is even lower than that of brittle oxide glasses due to the preferential breakage of the weak coordinative bonds (Zn-N). The glass is found to exhibit an anomalous brittle-to-ductile transition behavior, considering its low fracture surface energy despite similar Poisson’s ratio to that of many ductile metallic and organic glasses. Metal-organic framework glasses are gaining interest, but large samples are difficult to fabricate and mechanical properties are not well understood. Here, the authors use experiments and simulations to assess fracture toughness and flexural strength of a zeolitic imidazolate framework glass.
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Affiliation(s)
- Theany To
- Department of Chemistry and Bioscience, Aalborg University, DK-9220, Aalborg, Denmark
| | - Søren S Sørensen
- Department of Chemistry and Bioscience, Aalborg University, DK-9220, Aalborg, Denmark
| | - Malwina Stepniewska
- Department of Chemistry and Bioscience, Aalborg University, DK-9220, Aalborg, Denmark
| | - Ang Qiao
- Department of Chemistry and Bioscience, Aalborg University, DK-9220, Aalborg, Denmark
| | - Lars R Jensen
- Department of Materials and Production, Aalborg University, DK-9220, Aalborg, Denmark
| | - Mathieu Bauchy
- Department of Civil and Environmental Engineering, University of California, Los Angeles, CA, 90095, USA
| | - Yuanzheng Yue
- Department of Chemistry and Bioscience, Aalborg University, DK-9220, Aalborg, Denmark
| | - Morten M Smedskjaer
- Department of Chemistry and Bioscience, Aalborg University, DK-9220, Aalborg, Denmark.
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4
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Caporaletti F, Capaccioli S, Valenti S, Mikolasek M, Chumakov AI, Monaco G. A microscopic look at the Johari-Goldstein relaxation in a hydrogen-bonded glass-former. Sci Rep 2019; 9:14319. [PMID: 31586113 PMCID: PMC6778113 DOI: 10.1038/s41598-019-50824-7] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/30/2019] [Accepted: 09/03/2019] [Indexed: 11/23/2022] Open
Abstract
Understanding the glass transition requires getting the picture of the dynamical processes that intervene in it. Glass-forming liquids show a characteristic decoupling of relaxation processes when they are cooled down towards the glassy state. The faster (βJG) process is still under scrutiny, and its full explanation necessitates information at the microscopic scale. To this aim, nuclear γ-resonance time-domain interferometry (TDI) has been utilized to investigate 5-methyl-2-hexanol, a hydrogen-bonded liquid with a pronounced βJG process as measured by dielectric spectroscopy. TDI probes in fact the center-of-mass, molecular dynamics at scattering-vectors corresponding to both inter- and intra-molecular distances. Our measurements demonstrate that, in the undercooled liquid phase, the βJG relaxation can be visualized as a spatially-restricted rearrangement of molecules within the cage of their closest neighbours accompanied by larger excursions which reach out at least the inter-molecular scale and are related to cage-breaking events. In-cage rattling and cage-breaking processes therefore coexist in the βJG relaxation.
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Affiliation(s)
- F Caporaletti
- Dipartimento di Fisica, Università di Trento, I-38123, Povo, Trento, Italy.
| | - S Capaccioli
- Dipartimento di Fisica, Università di Pisa, Largo Bruno Pontecorvo 3, I-56127, Pisa, Italy
- CNR-IPCF, Largo Bruno Pontecorvo 3, I-56127, Pisa, Italy
| | - S Valenti
- Grup de Caracterització de Materials, Department of Physics, Universitat Politècnica de Catalunya, EEBE, Av. Eduard Maristany 10-14, E-08019, Barcelona, Spain
| | - M Mikolasek
- ESRF-The European Synchrotron, CS40 220, 38043, Grenoble, Cedex 9, France
| | - A I Chumakov
- ESRF-The European Synchrotron, CS40 220, 38043, Grenoble, Cedex 9, France
- National Research Center "Kurchatov Institute", 123182, Moscow, Russia
| | - G Monaco
- Dipartimento di Fisica, Università di Trento, I-38123, Povo, Trento, Italy.
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Østergaard MB, Hansen SR, Januchta K, To T, Rzoska SJ, Bockowski M, Bauchy M, Smedskjaer MM. Revisiting the Dependence of Poisson's Ratio on Liquid Fragility and Atomic Packing Density in Oxide Glasses. MATERIALS (BASEL, SWITZERLAND) 2019; 12:E2439. [PMID: 31370218 PMCID: PMC6696245 DOI: 10.3390/ma12152439] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/03/2019] [Revised: 07/29/2019] [Accepted: 07/29/2019] [Indexed: 01/04/2023]
Abstract
Poisson's ratio (ν) defines a material's propensity to laterally expand upon compression, or laterally shrink upon tension for non-auxetic materials. This fundamental metric has traditionally, in some fields, been assumed to be a material-independent constant, but it is clear that it varies with composition across glasses, ceramics, metals, and polymers. The intrinsically elastic metric has also been suggested to control a range of properties, even beyond the linear-elastic regime. Notably, metallic glasses show a striking brittle-to-ductile (BTD) transition for ν-values above ~0.32. The BTD transition has also been suggested to be valid for oxide glasses, but, unfortunately, direct prediction of Poisson's ratio from chemical composition remains challenging. With the long-term goal to discover such high-ν oxide glasses, we here revisit whether previously proposed relationships between Poisson's ratio and liquid fragility (m) and atomic packing density (Cg) hold for oxide glasses, since this would enable m and Cg to be used as surrogates for ν. To do so, we have performed an extensive literature review and synthesized new oxide glasses within the zinc borate and aluminoborate families that are found to exhibit high Poisson's ratio values up to ~0.34. We are not able to unequivocally confirm the universality of the Novikov-Sokolov correlation between ν and m and that between ν and Cg for oxide glass-formers, nor for the organic, ionic, chalcogenide, halogenide, or metallic glasses. Despite significant scatter, we do, however, observe an overall increase in ν with increasing m and Cg, but it is clear that additional structural details besides m or Cg are needed to predict and understand the composition dependence of Poisson's ratio. Finally, we also infer from literature data that, in addition to high ν, high Young's modulus is also needed to obtain glasses with high fracture toughness.
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Affiliation(s)
- Martin B Østergaard
- Department of Chemistry and Bioscience, Aalborg University, 9220 Aalborg East, Denmark
| | - Søren R Hansen
- Department of Chemistry and Bioscience, Aalborg University, 9220 Aalborg East, Denmark
| | - Kacper Januchta
- Department of Chemistry and Bioscience, Aalborg University, 9220 Aalborg East, Denmark
| | - Theany To
- Department of Chemistry and Bioscience, Aalborg University, 9220 Aalborg East, Denmark
| | - Sylwester J Rzoska
- Institute of High-Pressure Physics, Polish Academy of Sciences, 01-142 Warsaw, Poland
| | - Michal Bockowski
- Institute of High-Pressure Physics, Polish Academy of Sciences, 01-142 Warsaw, Poland
| | - Mathieu Bauchy
- Department of Civil and Environmental Engineering, University of California, Los Angeles, CA 90095, USA
| | - Morten M Smedskjaer
- Department of Chemistry and Bioscience, Aalborg University, 9220 Aalborg East, Denmark.
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Peng SX, Zhang C, Yang C, Li R, Zhang T, Liu L, Yu HB, Samwer K. Anomalous nonlinear damping in metallic glasses: Signature of elasticity breakdown. J Chem Phys 2019; 150:111104. [PMID: 30902016 DOI: 10.1063/1.5088184] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Abstract
Solid materials, whether crystalline or glasses, are characterized by their elasticity. Generally, elasticity is independent of the probing strain if it is not exceeding the yielding point. Here, by contrast, we experimentally capture a pronounced strain-dependent elasticity in metallic glasses, as manifested by nonlinear mechanical damping in the apparent elastic deformation regime (∼1/100 of the yielding strain). Normal damping behaviors recover at higher temperatures but still below the glass transition. Atomistic simulations reproduce these features and reveal that they could be related to avalanche-like local structural instabilities. Our findings demonstrate that the standard elasticity is not held for metallic glasses at low temperatures and plastic events can be triggered at small perturbations. These results are consistent with previous simulations of model glasses and a scenario of hierarchical free-energy landscape of mean-field theory.
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Affiliation(s)
- Si-Xu Peng
- Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
| | - Cheng Zhang
- Department of Materials Science, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
| | - Chong Yang
- Department of Materials Science, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
| | - Ran Li
- School of Materials Science and Engineering, Beihang University, Beijing 100191, China
| | - Tao Zhang
- School of Materials Science and Engineering, Beihang University, Beijing 100191, China
| | - Lin Liu
- Department of Materials Science, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
| | - Hai-Bin Yu
- Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
| | - Konrad Samwer
- I. Physikalisches Institut, Universität Göttingen, D-37077 Göttingen, Germany
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Yu HB, Richert R, Samwer K. Structural rearrangements governing Johari-Goldstein relaxations in metallic glasses. SCIENCE ADVANCES 2017; 3:e1701577. [PMID: 29159283 PMCID: PMC5693560 DOI: 10.1126/sciadv.1701577] [Citation(s) in RCA: 55] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2017] [Accepted: 10/20/2017] [Indexed: 05/10/2023]
Abstract
The Johari-Goldstein secondary (β) relaxations are an intrinsic feature of supercooled liquids and glasses. They are crucial to many properties of glassy materials, but the underlying mechanisms are still not established. In a model metallic glass, we study the atomic rearrangements by molecular dynamics simulations at time scales of up to microseconds. We find that the distributions of single-particle displacements exhibit multiple peaks, whose positions quantitatively match the pair distribution function. These are identified as the structural signature of cooperative string-like excitations. Furthermore, the most probable time of the string-like motions coincides with the β-relaxation time as probed by dynamical mechanical simulations over a wide temperature range and is consistent with a theoretical model. Our results provide insights into the long-standing puzzle regarding the structural origin of β relaxations in glassy metallic materials.
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Affiliation(s)
- Hai-Bin Yu
- Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology, Wuhan 430074 Hubei, China
- Corresponding author. (H.-B.Y.); (R.R.); (K.S.)
| | - Ranko Richert
- School of Molecular Sciences, Arizona State University, Tempe, AZ 85287, USA
- Corresponding author. (H.-B.Y.); (R.R.); (K.S.)
| | - Konrad Samwer
- I. Physikalisches Institut, Universität Göttingen, D-37077 Göttingen, Germany
- Corresponding author. (H.-B.Y.); (R.R.); (K.S.)
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8
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The glass formation of a repulsive system with also a short range attractive potential: A re-interpretation of the free volume theory. POLYMER 2017. [DOI: 10.1016/j.polymer.2017.02.066] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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9
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Investigation of Elastic Deformation Mechanism in As-Cast and Annealed Eutectic and Hypoeutectic Zr–Cu–Al Metallic Glasses by Multiscale Strain Analysis. METALS 2016. [DOI: 10.3390/met6010012] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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10
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Sun Q, Hu L, Zhou C, Zheng H, Yue Y. Correlation between supercooled liquid relaxation and glass Poisson’s ratio. J Chem Phys 2015; 143:164504. [DOI: 10.1063/1.4934228] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Qijing Sun
- Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials (Ministry of Education), Shandong University, Jinan 250061, China
| | - Lina Hu
- Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials (Ministry of Education), Shandong University, Jinan 250061, China
| | - Chao Zhou
- Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials (Ministry of Education), Shandong University, Jinan 250061, China
| | - Haijiao Zheng
- Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials (Ministry of Education), Shandong University, Jinan 250061, China
| | - Yuanzheng Yue
- Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials (Ministry of Education), Shandong University, Jinan 250061, China
- Section of Chemistry, Aalborg University, DK-9000 Aalborg, Denmark
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11
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Li YZ, Zhao LZ, Wang C, Lu Z, Bai HY, Wang WH. Communication: Non-monotonic evolution of dynamical heterogeneity in unfreezing process of metallic glasses. J Chem Phys 2015; 143:041104. [PMID: 26233099 DOI: 10.1063/1.4927701] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The relaxation dynamics in unfreezing process of metallic glasses is investigated by the activation-relaxation technique. A non-monotonic dynamical microstructural heterogeneities evolution with temperature is discovered, which confirms and supplies more features to flow units concept of glasses. A flow unit perspective is proposed to microscopically describe this non-monotonic evolution of the dynamical heterogeneities as well as its relationship with the deformation mode development of metallic glasses.
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Affiliation(s)
- Y Z Li
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
| | - L Z Zhao
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
| | - C Wang
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
| | - Z Lu
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
| | - H Y Bai
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
| | - W H Wang
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
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12
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Zhu ZG, Li YZ, Wang Z, Gao XQ, Wen P, Bai HY, Ngai KL, Wang WH. Compositional origin of unusual β-relaxation properties in La-Ni-Al metallic glasses. J Chem Phys 2015; 141:084506. [PMID: 25173020 DOI: 10.1063/1.4893954] [Citation(s) in RCA: 62] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
Abstract
The β-relaxation of metallic glasses (MGs) bears nontrivial connections to their microscopic and macroscopic properties. In an effort to elucidate the mechanism of the β-relaxation, we studied by dynamical mechanical measurements the change of its properties on varying the composition of La60Ni15Al25 in various ways. The properties of the β-relaxation turn out to be very sensitive to the composition. It is found that the isochronal loss peak temperature of β-relaxation, Tβ,peak, is effectively determined by the total (La + Ni) content. When Cu is added into the alloy to replace either La, Ni, or Al, the Tβ,peak increases with decrease of the (La + Ni) content. The trend is in accordance with data of binary and ternary MGs formed from La, Ni, Al, and Cu. Binary La-Ni MGs have pronounced β-relaxation loss peaks, well separated from the α-relaxation. In contrast, the β-relaxation is not resolved in La-Al and La-Cu MGs, showing up as an excess wing. For the ternary La-Ni-Al MGs, increase of La or Ni content is crucial to lower the Tβ,peak. Keeping the Al content fixed, increase of La content lowers the Tβ,peak further, indicating the more important role La plays in lowering Tβ,peak than Ni. The observed effects on changing the composition of La60Ni15Al25 lead to the conclusion that the properties of the β-relaxation are mainly determined by the interaction between the largest solvent element, La, and the smallest element, Ni. From our data, it is further deduced that La and Ni have high mobility in the MGs, and this explains why the β-relaxation in this La-based MGs is prominent and well resolved from the α-relaxation as opposed to Pd- and Zr-based MGs where the solvent and largest atoms, Pd and Zr, are the least mobile.
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Affiliation(s)
- Z G Zhu
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Y Z Li
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Z Wang
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - X Q Gao
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - P Wen
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - H Y Bai
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - K L Ngai
- Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy
| | - W H Wang
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
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14
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Lu Z, Jiao W, Wang WH, Bai HY. Flow unit perspective on room temperature homogeneous plastic deformation in metallic glasses. PHYSICAL REVIEW LETTERS 2014; 113:045501. [PMID: 25105632 DOI: 10.1103/physrevlett.113.045501] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2013] [Indexed: 06/03/2023]
Abstract
A mandrel winding method, which can realize remarkable homogeneous plastic deformation at room temperature for various metallic glasses, is applied to characterize plastic flow units and study their relationship with macroscopic deformations and relaxations. The method can provide information on the activation energy, activation time, size, intrinsic relaxation time, distribution, and density of flow units. We find the plasticity of a metallic glass can be controlled through modulating the features of flow units. The results have benefits for better understanding the structural origins of deformations and relaxations, and for designing metallic glasses with improved performances.
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Affiliation(s)
- Z Lu
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - W Jiao
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - W H Wang
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - H Y Bai
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
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15
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Ngai KL, Wang LM, Liu R, Wang WH. Erratum: “Microscopic dynamics perspective on the relationship between Poisson's ratio and ductility of metallic glasses” [J. Chem. Phys. 140, 044511 (2014)]. J Chem Phys 2014. [DOI: 10.1063/1.4884646] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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