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Jin B, Liu S, Du Y, Kaptay G, Fu T. Nano-crystal melting calculation for Al, Cu and Ag considering macro-crystal surface melting. Phys Chem Chem Phys 2022; 24:22278-22288. [PMID: 36098238 DOI: 10.1039/d2cp01931k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The surface melting of macro-crystals and melting of nano-crystals for Al, Cu and Ag pure components are modeled in comparison with literature data. The relevant temperatures of surface premelting and melting are calculated. The corresponding temperature-dependent equilibrium thickness of the liquid melted layer is obtained as well, which tends to infinity when the temperature is at the bulk melting point. Furthermore, the size-dependent melting behaviors for Al, Cu and Ag are investigated and the corresponding critical size is determined using a home-made code. The melting point depression with particle size is also demonstrated in the present work. As illustrated in the size-dependent phase diagram, the temperatures of both the solidus and liquidus decrease and they merge with the decrease in the radius.
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Affiliation(s)
- Bo Jin
- National Key Laboratory of Science and Technology for National Defence on High-strength Structural Materials, Central South University, Changsha, Hunan, 410083, China
| | - Shuhong Liu
- National Key Laboratory of Science and Technology for National Defence on High-strength Structural Materials, Central South University, Changsha, Hunan, 410083, China
| | - Yong Du
- National Key Laboratory of Science and Technology for National Defence on High-strength Structural Materials, Central South University, Changsha, Hunan, 410083, China
| | - George Kaptay
- Department Nanotechnology, University of Miskolc, Egyetemvaros, Miskolc 3515, Hungary
| | - Taibai Fu
- National Key Laboratory of Science and Technology for National Defence on High-strength Structural Materials, Central South University, Changsha, Hunan, 410083, China
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Mahmud G, Zhang H, Douglas JF. Localization model description of the interfacial dynamics of crystalline Cu and
Cu
64
Zr
36
metallic glass nanoparticles. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2021; 44:33. [PMID: 33728521 DOI: 10.1140/epje/s10189-021-00022-z] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/11/2020] [Accepted: 01/20/2021] [Indexed: 06/12/2023]
Abstract
Many of the special properties of nanoparticles (NPs) and nanomaterials broadly derive from the significant fraction of particles (atoms, molecules or segments of polymeric molecules) in the NP interfacial region in which the interparticle interactions are characteristically highly anharmonic in comparison to the bulk material. This leads to relatively large mean square particle displacements relative to the material interior, often resulting in a strong increase interfacial mobility and reactivity in both crystalline and glass NPs. The 'Debye-Waller factor', or the mean square particle displacement< u 2 > on a ps 'caging' timescale relative to the square of the average interparticle distanceσ 2 , provides an often experimentally accessible measure of the strength of this anharmonic interaction. The Localization Model (LM) of the dynamics of condensed materials relates this thermodynamic property to the structural relaxation timeτ α , determined from the intermediate scattering function, without any free parameters. Moreover, the LM allows for the prediction of the diffusion coefficient D when combined with the 'decoupling' or Fractional Stokes-Einstein relation linkingτ α to D. In the current study, we employed classical molecular dynamics simulation to investigate the structural relaxation and diffusion of modelCu 64 Zr 36 metallic glass and Cu crystalline NPs with different sizes. As with previous studies validating the LM on model bulk and crystalline materials, and for the interfacial dynamics of thin crystalline and metallic glass films, we find the LM model also describes the interfacial dynamics of model crystalline metal (Cu) and metallic glass (Cu 64 Zr 36 ) NPs to a good approximation, further confirming the generality of the model.
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Affiliation(s)
- Gazi Mahmud
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, T6G 1H9, Canada
| | - Hao Zhang
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, T6G 1H9, Canada.
| | - Jack F Douglas
- Material Measurement Laboratory, Materials Science and Engineering Division, National Institute of Standards and Technology, Maryland, 20899, USA.
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Mahmud G, Zhang H, Douglas JF. Localization model description of the interfacial dynamics of crystalline Cu and Cu 64Zr 36 metallic glass films. J Chem Phys 2020; 153:124508. [PMID: 33003746 DOI: 10.1063/5.0022937] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
Recent studies of structural relaxation in Cu-Zr metallic glass materials having a range of compositions and over a wide range of temperatures and in crystalline UO2 under superionic conditions have indicated that the localization model (LM) can predict the structural relaxation time τα of these materials from the intermediate scattering function without any free parameters from the particle mean square displacement ⟨r2⟩ at a caging time on the order of ps, i.e., the "Debye-Waller factor" (DWF). In the present work, we test whether this remarkable relation between the "fast" picosecond dynamics and the rate of structural relaxation τα in these model amorphous and crystalline materials can be extended to the prediction of the local interfacial dynamics of model amorphous and crystalline films. Specifically, we simulate the free-standing amorphous Cu64Zr36 and crystalline Cu films and find that the LM provides an excellent parameter-free prediction for τα of the interfacial region. We also show that the Tammann temperature, defining the initial formation of a mobile interfacial layer, can be estimated precisely for both crystalline and glass-forming solid materials from the condition that the DWFs of the interfacial region and the material interior coincide.
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Affiliation(s)
- Gazi Mahmud
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta T6G 1H9, Canada
| | - Hao Zhang
- Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta T6G 1H9, Canada
| | - Jack F Douglas
- Material Measurement Laboratory, Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
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Ridings KM, Aldershof TS, Hendy SC. Surface melting and breakup of metal nanowires: Theory and molecular dynamics simulation. J Chem Phys 2019; 150:094705. [PMID: 30849918 DOI: 10.1063/1.5086435] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We consider the surface melting of metal nanowires by solving a phenomenological two-parabola Landau model and by conducting molecular dynamics simulations of nickel and aluminum nanowires. The model suggests that surface melting will precede bulk melting when the melt completely wets the surface and the wire is sufficiently thick, as is the case for planar surfaces and sufficiently large nanoparticles. Surface melting does not occur if the melt partially wets or does not wet the surface. We test this model, which assumes that the surface energies of the wire are isotropic, using molecular dynamics simulations. For nickel, we observe the onset of anisotropic surface melting associated with each of the two surface facets present, but this gives way to uniform surface melting and the solid melts radially until the solid core eventually breaks up. For aluminum, while we observe complete surface melting of one facet, the lowest energy surface remains partially dry even up to the point where the melt completely penetrates the solid core.
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Affiliation(s)
- Kannan M Ridings
- Department of Physics, MacDiarmid Institute for Advanced Materials and Nanotechnology, University of Auckland, Auckland 1142, New Zealand
| | - Thomas S Aldershof
- School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia
| | - Shaun C Hendy
- Department of Physics, MacDiarmid Institute for Advanced Materials and Nanotechnology, University of Auckland, Auckland 1142, New Zealand
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Cao B, Starace AK, Judd OH, Bhattacharyya I, Jarrold MF. Metal clusters with hidden ground states: Melting and structural transitions in Al115(+), Al116(+), and Al117(+). J Chem Phys 2009; 131:124305. [PMID: 19791879 DOI: 10.1063/1.3224124] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Heat capacities measured as a function of temperature for Al(115)(+), Al(116)(+), and Al(117)(+) show two well-resolved peaks, at around 450 and 600 K. After being annealed to 523 K (a temperature between the two peaks) or to 773 K (well above both peaks), the high temperature peak remains unchanged but the low temperature peak disappears. After considering the possible explanations, the low temperature peak is attributed to a structural transition and the high temperature peak to the melting of the higher enthalpy structure generated by the structural transition. The annealing results show that the liquid clusters freeze exclusively into the higher enthalpy structure and that the lower enthalpy structure is not accessible from the higher enthalpy one on the timescale of the experiments. We suggest that the low enthalpy structure observed before annealing results from epitaxy, where the smaller clusters act as a nucleus and follow a growth pattern that provides access to the low enthalpy structure. The solid-to-solid transition that leads to the low temperature peak in the heat capacity does not occur under equilibrium but requires a superheated solid.
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Affiliation(s)
- Baopeng Cao
- Department of Chemistry, Indiana University, 800 East Kirkwood Ave., Bloomington, Indiana 47405, USA
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Schebarchov D, Hendy SC. Superheating and solid-liquid phase coexistence in nanoparticles with nonmelting surfaces. PHYSICAL REVIEW LETTERS 2006; 96:256101. [PMID: 16907324 DOI: 10.1103/physrevlett.96.256101] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2006] [Indexed: 05/11/2023]
Abstract
We present a phenomenological model of melting in nanoparticles with facets that are only partially wet by their liquid phase. We show that in this model, as the solid nanoparticle seeks to avoid coexistence with the liquid, the microcanonical melting temperature can exceed the bulk melting point and that the onset of coexistence is a first-order transition. We show that these results are consistent with molecular dynamics simulations of aluminum nanoparticles which remain solid above the bulk melting temperature.
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Affiliation(s)
- D Schebarchov
- School of Chemical and Physical Sciences, Victoria University of Wellington, Wellington 6001, New Zealand
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Gravil PA, Holloway S. Roughening and melting of stepped aluminum surfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:11128-11145. [PMID: 9982686 DOI: 10.1103/physrevb.53.11128] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Georgiev N, Pavlovska A, Bauer E. Surface disordering without surface roughening. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:2878-2888. [PMID: 9981359 DOI: 10.1103/physrevb.52.2878] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ercolessi F, Tosatti E. Maximum overheating and partial wetting of nonmelting solid surfaces. PHYSICAL REVIEW LETTERS 1995; 74:3201-3204. [PMID: 10058137 DOI: 10.1103/physrevlett.74.3201] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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