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01-07-2022 | Research paper

Micro-/nanoparticle melting in an alloy melt with anisotropic surface energy

Authors: C. M. Yang, M. W. Chen, G. J. Zheng, M. L. Zhang, Z. D. Wang

Published in: Journal of Nanoparticle Research | Issue 7/2022

Abstract

The melting of micro-/nanoparticles in an alloy melt is investigated by using the asymptotic method. The asymptotic solution of the dynamic model for micro-/nanoparticle melting shows that the melting temperature of micro-/nanoparticles depends on the size, isotropic/anisotropic surface energy, and the initial concentration. As the particle radius decreases, isotropic surface energy reduces the melting temperature and promotes the melting of the particle, whereas the initial concentration enhances the melting temperature and depresses the melting of the particle. Along certain crystal orientations, the anisotropic surface energy reduces the melting speed of the micro-/nanoparticles and enhances the melting temperature of the micro-/nanoparticle, whereas it enhances the melting speed of the micro/nanoparticles and depresses the melting temperature of the micro-/nanoparticles along other crystal orientations. The initial concentration reduces the melting speed of micro-/nanoparticles and enhances the melting temperature of micro-/nanoparticles along all crystal orientations. The result of the asymptotic solution is quantitatively consistent with experimental results.

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Alsayed AM, Islam MF, Zhang J, Collings PJ, Yodh AG (2005) Premelting at defects within bulk colloidal crystals. Science 309(5738):1207–1210 CrossRef

Back JM, McCue SW, Hsieh M-N, Moroney TJ (2014) The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem. Appl Math Comput 229:41–52

Calvo F (2012) Molecular dynamics determination of the surface tension of silver-gold liquid alloys and the Tolman length of nanoalloys. J Chem Phy 136:154701 CrossRef

Chen CL, Lee JG, Arakawa K, Mori H (2011) Comparative study on size dependence of melting temperatures of pure metal and alloy nanoparticles. Appl Phys Lett 99(1):013108 CrossRef

Chen T, Ma Y, Fu X, Li M (2020) A comprehensive understanding of the melting temperature of nanocrystals: implications for catalysis. ACS Applied Nano Materials 3(2):1583–1591 CrossRef

Dai C, Saidi P, Song H, Yao Z, Daymond MR, Hoyt JJ (2017) A test of a phenomenological model of size dependent melting in Au nanoparticles. Acta Mater 136:11–20 CrossRef

Dippel M et al (2001) Size-dependent melting of self-assembled indium nanostructures. Phys Rev Lett 87:9 CrossRef

Duggin MJ (1972) The thermal conductivities of liquid lead and indium. J Phys f: Met Phys 2(3):433 CrossRef

Ferrando R, Fortunelli A, Rossi G (2005) Quantum effects on the structure of pure and binary metallic nanoclusters. Phys Rev B 72(8):085449 CrossRef

Font F, Myers TG (2013) Spherically symmetric nanoparticle melting with a variable phase change temperature. J Nanopart Res 15:1–13 CrossRef

Frade JR, Cable M (1994) Diffusion-controlled growth or dissolution of spheres with variable temperature. J Am Ceram Soc 77(4):999–1004 CrossRef

Heyraud JC, Metois JJ (1980) Equilibrium shape of gold crystallites on a graphite cleavage surface: surface energies and interfacial energy. Acta Metall 28(12):1789–1797 CrossRef

Illingworth TC, Golosnoy IO (2005) Numerical solutions of diffusion-controlled moving boundary problems which conserve solute. J Comput Phys 209:207–225 CrossRef

Jiang Q, Zhang Z, Li JC (2000) Melting thermodynamics of nanocrystals embedded in a matrix. Acta Mater 48(20):4791–4795 CrossRef

Jiang Q, Zhao DS, Zhao MJAM (2001) Size-dependent interface energy and related interface stress. Acta Mater 49(16):3143–3147 CrossRef

Jiang Q, Zhang S, Zhao M (2003) Size-dependent melting point of noble metals. Mater Chem Phys 82(1):225–227 CrossRef

Lai SL, Carlsson JRA, Allen LH (1998) Melting point depression of Al clusters generated during the early stages of film growth: nanocalorimetry measurements. Appl Phys Lett 72:1098–1100 CrossRef

Li M, Zhu TS (2016) Modeling the melting temperature of nanoscaled bimetallic alloys. Phys Chem Chem Phys 18(25):16958–16963 CrossRef

Li G, Wang Q, Li D, Lü X, He J (2009) Size and composition effects on the melting of bimetallic Cu–Ni clusters studied via molecular dynamics simulation. Mater Chem Phys 114(2–3):746–750 CrossRef

Lu K, Jin ZH (2001) Melting and superheating of low-dimensional materials. Curr Opin Solid State Mater Sci 5:39–44 CrossRef

Lupulescu A, Glicksman ME, Koss MB (2005) Conduction-limited crystallite melting. J Cryst Growth 276(3–4):549–565 CrossRef

McCue SW, Wu B, Hill JM (2009) Micro/nanoparticle melting with spherical symmetry and surface tension. IMA J Appl Math 74:439–457 CrossRef

Mottet C, Rossi G, Baletto F, Ferrando R (2005) Single impurity effect on the melting of nanoclusters. Physical Rev Lett 95(3):035501 CrossRef

Nanda KK (2009) Size-dependent melting of nanoparticles: hundred years of thermodynamic model. Pramana 72(4):617–628 CrossRef

Pavan L, Baletto F, Novakovic R (2015) Multiscale approach for studying melting transitions in Cu/Pt nanoparticles. Phys Chem Chem Phys 17(42):28364–28371 CrossRef

Samsonov VM, Kharechkin SS, Gafner SL, Gafner YY (2009) Molecular dynamics study of the melting and crystallization of nanoparticles. Crystallogr Rep 54(3):526–531 CrossRef

Sankaranarayanan SK, Bhethanabotla VR, Joseph B (2005) Molecular dynamics simulation study of the melting of Pd-Pt nanoclusters. Phys Rev B 71(19):195415 CrossRef

Sasaki K, Saka H (1991) In situ high-resolution electron microscopy observation of the melting process of In particles embedded in an Al matrix. Philos Mag A 63:1207–1220 CrossRef

Settem M, Ferrando R, Giacomello A (2022) Tempering of Au nanoclusters: capturing the temperature-dependent competition among structural motifs. Nanoscale 14(3):939–952 CrossRef

Sheng HW, Lu K, Ma E (1998) Melting and freezing behavior of embedded nanoparticles in ball-milled Al–10 wt% M (M= In, Sn, Bi, Cd, Pb) mixtures. Acta Mater 46:5195–5205 CrossRef

Sheng HW, Xu J, Yu LG, Sun XK, Hu ZQ, Lu K (1996) Melting process of nanometer-sized In particles embedded in an Al matrix synthesized by ball milling. J Mater Res 11(11):2841–2851 CrossRef

Sun J, Simon SL (2007) The melting behavior of aluminum nanoparticles. Thermochim Acta 463(1–2):32–40 CrossRef

Swaminathan P, Sivaramakrishnan S, Palmer JS, Weaver JH (2009) Size dependence of nanoparticle dissolution in a matrix: gold in bismuth. Phys Rev B 79(14):144113 CrossRef

Tang F, Liu X, Wang H, Hou C, Lu H, Nie Z, Song X (2019) Solute segregation and thermal stability of nanocrystalline solid solution systems. Nanoscale 11(4):1813–1826 CrossRef

Tseng CC, Viskanta R (2003) Effect of subcooling on convective melting of a particle. Int Commun Heat Mass Transfer 30(1):13–25 CrossRef

Unruh KM, Patterson BM, Shah SI (1992) Melting behavior of Snx (SiO2) 100–x granular metal films. J Mater Res 7(1):214–218 CrossRef

Vazquez-Nava E, Lawrence CJ (2009) Thermal dissolution of a spherical particle with a moving boundary. Heat Transfer Eng 30:416–426 CrossRef

Vermolen FJ, Vuik C, Van der Zwaag S (2003) Particle dissolution and cross-diffusion in multi-component alloys. Mater Sci Eng, A 347:265–279 CrossRef

Yang CM, Chen MW, Zheng GJ, Wang ZD (2021) Melting of micro/nanoparticles considering anisotropy of surface energy. Sci Rep 11(1):1–11

Zhang DL, Cantor B (1990) Heterogeneous nucleation of In particles embedded in an AI matrix. Philos Mag A 62:557–572 CrossRef

Zhang M, Efremov MY, Schiettekatte F, Olson EA, Kwan AT, Lai SL, ... Allen LH (2000) Size-dependent melting point depression of nanostructures: Nanocalorimetric measurements. Phys Rev B 62(15):10548

Zhang M, Wen JG, Efremov MY, Olson EA, Zhang ZS, Hu L, ... Allen LH (2012) Metastable phase formation in the Au-Si system via ultrafast nanocalorimetry. J Appl Phys 111(9):093516

Zhong J, Zhang LH, Jin ZH, Sui ML, Lu K (2001) Superheating of Ag nanoparticles embedded in Ni matrix. Acta Mater 49(15):2897–2904 CrossRef

Title: Micro-/nanoparticle melting in an alloy melt with anisotropic surface energy
Authors: C. M. Yang
M. W. Chen
G. J. Zheng
M. L. Zhang
Z. D. Wang
Publication date: 01-07-2022
Publisher: Springer Netherlands
Published in: Journal of Nanoparticle Research / Issue 7/2022
Print ISSN: 1388-0764
Electronic ISSN: 1572-896X
DOI: https://doi.org/10.1007/s11051-022-05464-w

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