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The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics
Series 8
Volume 25, 1972 - Issue 4
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Original Articles

The free energy of the crystal-melt interface from the radial distribution function—further calculations

R. H. Ewing Harvard University, Division of Engineering and Applied Physics, Cambridge, Massachusetts
Pages 779-784 | Received 12 Jul 1971, Published online: 20 Aug 2006

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D. M. Herlach, R. F. Cochrane, I. Egry, H. J. Fecht & A. L. Greer. (1993) Containerless processing in the study of metallic melts and their solidification. International Materials Reviews 38:6, pages 273-347.
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R. Tognato. (1992) On the temperature dependence of solid-liquid interfacial free energies per unit area. Phase Transitions 38:2, pages 71-76.
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Articles from other publishers (39)

Yuchu Sun & Yungui Chen. (2023) Atomistic modeling of Mg-Al-Zn solid–liquid interfacial free energy. Computational Materials Science 229, pages 112398.
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Chenglin Huang, Jiang Wang, Sansan Shuai, Jun Wang, Ruibin Nan, Rui Guo, Shilei Li, Chuanjun Li, Chaoyue Chen & Zhongming Ren. (2023) The Effect of Static Magnetic Field on Solid/Liquid Interfacial Energies of Al–Cu Studied by Dihedral Angle Method. Metallurgical and Materials Transactions A 54:9, pages 3400-3411.
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Chenglin Huang, Sansan Shuai, Jun Wang, Ling Shi, Shilei Li, Ruibin Nan, Chuanjun Li, Jiang Wang & Zhongming Ren. (2023) Magnetic field-induced variation of solid/liquid interfacial energy of solid Al2Cu and Al-Cu eutectic melt. Journal of Alloys and Compounds 941, pages 168977.
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Lin Wang, Zhipeng Long, Long Hou, Song Yan, Baode Sun & Xi Li. (2023) Effects of a high magnetic field on single-phase interface evolution, additional interfacial energy and nucleation undercooling in Al-based alloy. Journal of Materials Science & Technology.
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Osman Kahveci, Harun Erol, Omar Taher Joban Joban & Mehmet Gündüz. (2021) Determination of solid-liquid interfacial energy of solid Mg2Si intermetallic phase in equilibrium with liquid AlSiMg eutectic solution in AlSiMg energy storage alloy. Intermetallics 135, pages 107235.
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Chenglin Huang, Sansan Shuai, Pengchuan Wang, Xin Liu, Jiang Wang & Zhongming Ren. (2020) The effect of static magnetic field on solid–liquid interfacial free energy of Al–Cu alloy system. Scripta Materialia 187, pages 232-236.
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Owen C Ernst, Felix Lange, David Uebel, Thomas Teubner & Torsten Boeck. (2020) Analysis of catalyst surface wetting: the early stage of epitaxial germanium nanowire growth. Beilstein Journal of Nanotechnology 11, pages 1371-1380.
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M. C. Gao & M. Widom. (2018) Information Entropy of Liquid Metals. The Journal of Physical Chemistry B 122:13, pages 3550-3555.
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George Kaptay. (2017) On the solid/liquid interfacial energies of metals and alloys. Journal of Materials Science 53:5, pages 3767-3784.
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Taoreed O. Owolabi, Kabiru O. Akande & Sunday O. Olatunji. (2016) Computational intelligence method of estimating solid-liquid interfacial energy of materials at their melting temperatures. Journal of Intelligent & Fuzzy Systems 31:1, pages 519-527.
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David Wearing, Andrew P. Horsfield, Wenwu Xu & Peter D. Lee. (2016) Which wets TiB2 inoculant particles: Al or Al3Ti?. Journal of Alloys and Compounds 664, pages 460-468.
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Xi Shao, Xianglong Guo, Yuanfei Han, Zhengjie Lin, Jining Qin, Weijie Lu & Di Zhang. (2014) Preparation of TiNi films by diffusion technology and the study of the formation sequence of the intermetallics in Ti–Ni systems. Journal of Materials Research 29:22, pages 2707-2716.
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Eliana M. Agaliotis, Carlos E. Schvezov, Mario R. Rosenberger & Alicia E. Ares. (2012) A numerical model study of the effect of interface shape on particle pushing. Journal of Crystal Growth 354:1, pages 49-56.
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L. Karabulut, S. Aksöz, K. Keşlioğlu, N. Maraşlı & Y. Ocak. (2011) Experimental determination of thermal conductivity and interfacial energies of solid Pb solution in the Pb–Sb eutectic system. Chemical Physics Letters 503:4-6, pages 220-225.
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Keita Kobayashi, Kazu Suenaga, Takeshi Saito & Sumio Iijima. (2010) Prevention of Sn and Pb Crystallization in a Confined Nanospace. Small 6:12, pages 1279-1282.
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Lars P. H. Jeurgens, Zumin Wang & Eric J. Mittemeijer. (2009) Thermodynamics of reactions and phase transformations at interfaces and surfaces. International Journal of Materials Research 100:10, pages 1281-1307.
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F. Sommer, R.N. Singh & E.J. Mittemeijer. (2009) Interface thermodynamics of nano-sized crystalline, amorphous and liquid metallic systems. Journal of Alloys and Compounds 467:1-2, pages 142-153.
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. 2007. Metastable solids from undercooled melts. Metastable solids from undercooled melts 113 141 .
Keiji Nakajima. (2006) Liquid-Solid Interface Free Energies for Metals from Free-volume Method and Interface Structural Model. ISIJ International 46:6, pages 795-800.
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K Keşlıoğlu, M Gündüz, H Kaya & E Çadırlı. (2004) Solid–liquid interfacial energy in the Al–Ti system. Materials Letters 58:24, pages 3067-3073.
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H Jones. (2002) The solid–liquid interfacial energy of metals: calculations versus measurements. Materials Letters 53:4-5, pages 364-366.
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C. Patuelli & R. Tognato. 2001. Processing by Centrifugation. Processing by Centrifugation 361 366 .
L. Jeurgens, W. Sloof, F. Tichelaar & E. Mittemeijer. (2000) Thermodynamic stability of amorphous oxide films on metals: Application to aluminum oxide films on aluminum substrates. Physical Review B 62:7, pages 4707-4719.
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D. Holland-Moritz, J. Schroers, D.M. Herlach, B. Grushko & K. Urban. (1998) Undercooling and solidification behaviour of melts of the quasicrystal-forming alloysAl–Cu–Fe and Al–Cu–Co. Acta Materialia 46:5, pages 1601-1615.
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R. Benedictus, A. Böttger & E. J. Mittemeijer. (1996) Thermodynamic model for solid-state amorphization in binary systems at interfaces and grain boundaries. Physical Review B 54:13, pages 9109-9125.
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N. Maraşli & J.D. Hunt. (1996) Solid-liquid surface energies in the AlCuAl2, AlNiAl3 and AlTi systems. Acta Materialia 44:3, pages 1085-1096.
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C. Patuelli & R. Tognato. 1994. Superconductors, Surfaces and Superlattices. Superconductors, Surfaces and Superlattices 205 208 .
C. Patuelli & R. Tognato. 1994. Advanced Materials '93. Advanced Materials '93 607 610 .
J. A. Juarez-Islas. (1991) Analysis of the microstructure obtained by using unidirectional solidification, tungsten inert gas weld and laser surface melt traversing techniques in Al-Mn alloys. Journal of Materials Science 26:18, pages 5004-5012.
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Yoshitake Nishi, Kaoru Mikagi & Akira Igarashi. (1988) Solid-liquid interfacial energy of non-metallic bonded elements. Journal of Materials Science 23:2, pages 400-404.
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R. Tognato. (1988) Some considerations on the interfacial free energies of liquid clusters embedded in a crystal matrix. Surface Science 199:1-2, pages 282-296.
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J.A. Juarez-Islas & H. Jones. (1987) Conditions for growth of extended Al-rich Al-Mn alloy solid solutions and Al-Al6Mn eutectic during rapid solidification. Acta Metallurgica 35:2, pages 499-507.
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M. Gündüz & J.D. Hunt. (1985) The measurement of solid-liquid surface energies in the Al-Cu, Al-Si and Pb-Sn systems. Acta Metallurgica 33:9, pages 1651-1672.
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Denis Camel, Nicolas Eustathopoulos & Pierre Desré. (1980) Chemical adsorption and temperature dependence of the solid-liquid interfacial tension of metallic binary alloys. Acta Metallurgica 28:3, pages 239-247.
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Y. Waseda & W. A. Miller. (1978) Calculation of the Crystal-Melt Interfacial Free Energy from Experimental Radial Distribution Function Data. Transactions of the Japan Institute of Metals 19:10, pages 546-552.
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A. Passerone, N. Eustathopoulos & P. Desre. (1977) Interfacial tensions in Zn, Zn-Sn and Zn-Sn-Pb systems. Journal of the Less Common Metals 52:1, pages 37-49.
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Osamu HAIDAToshihiko EMI. (1977) Theoretical Calculation of the Solid/ Liquid Interfacial Free Energy for Iron, Cobalt and Nickel. Tetsu-to-Hagane 63:9, pages 1564-1571.
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N. Eustathopoulos, L. Coudurier, J.C. Joud & P. Desré. (1976) Tension interfaciale solide-liquide des systémes Al-Sn, Al-In et Al-Sn-In. Journal of Crystal Growth 33:1, pages 105-115.
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D. R. H. Jones. (1974) The free energies of solid-liquid interfaces. Journal of Materials Science 9:1, pages 1-17.
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