Abstract
New coordinating relationships are obtained for the dimensional dependences of melting temperature T(r) and interfacial tension σ SL (r) of a solid spherical nanoparticle at the boundary with its own melt. The Thomson formula for T(r) and the Tolman formula for σ SL (r) follow from the expressions obtained at large radii of curvature. Numerical calculations are performed for metals. Results from calculations on the dimensional dependences of the melting temperature for Pt, Au, and Al that conform fairly well with experimental data are given as examples.
Similar content being viewed by others
References
Nanonauka i nanotekhnologii. Entsiklopediya sistem zhizneobespecheniya (Nanosciences and Nanotechnologies. Life Support Systems: Encyclopedia), Moscow: UNESCO, EOLSS, izd. dom magistr-press, 2010.
Rusanov, A.I., Fazovye ravnovesiya i poverkhnostnye yavleniya (Phase Equilibriums and Surface Phenomena), Leningrad: Khimiya, 1967.
Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Poverkhn. Rentgen., Sinkhrotronn. Neitronn. Issl., 2009, no. 11, p. 102.
Ono, S. and Kondo, S., Molecular Theory of Surface Tension in Liquids, Berlin: Springer, 1960; Moscow: Inostrannaya literatura, 1963.
Sawamure, H., Trans. Jpn. Inst. Metals, 1972, vol. 13, no. 4, pp. 225–230.
Kirkinskii, V.A., Dokl. Akad. Nauk SSSR, 1970, vol. 192, no. 2.
Morokhov, I.D, Chizhik, S.P., Gladkikh, N.T., et al., Dokl. Akad. Nauk SSSR, 1979, vol. 248, no. 3, pp. 603–605.
Gladkikh, N.T., Dukarov, S.V., Kryshtal’, A.P., et al., Poverkhnostnye yavleniya i fazovye prevrashcheniya v kondensirovannykh plenkakh (Surface Phenomena and Phase Transitions in Condensed Films), Gladkikh, N.T., Ed., Kharkov: KhIU im. V.N. Karazina, 2004.
Skripov, V.P. and Faizulin, M.Z., Fazovye perekhody kristall-zhidkost’-par i termodinamicheskoe podobie (Phase Transition Crystal-Liquid-Vapor and Thermodynamic Similarity), Moscow: Fizmatlit, 2003.
Shebzukhova, M.A., Shebzukhov, Z.A., and Shebzukhov, A.A., Bull. Russ. Acad. Sci. Phys., 2010, vol. 74, no. 5, p. 697.
Sheng, H.W., Lu, K., and Ma, E., Acta Mater., 1998, vol. 46, no. 14, pp. 5195–5205.
Behrndt, K.H., Thin Solid Films, 1969, vol. 3, no. 5, pp. 30–32.
Jdanov, G.S., Bull. Russ. Acad. Sci. Phys., 1972, vol. 41, no. 5, p. 1004.
Chopra Kasturi, L., Thin Film Phenomena, New York: McGraw-Hill, 1969.
Koverda, V.P., Skokov, V.N., and Skripov, V.P., Fiz. Met. Metalloved., 1981, vol. 51, no. 6, pp. 1238–1244.
Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Poverkhn. Rentgen., Sinkhrotron. Neitron. Issl., 2009, no. 12, p. 94.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.A. Shebzukhova, A.A. Shebzukhov, 2012, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2012, Vol. 76, No. 7, pp. 863–867.
About this article
Cite this article
Shebzukhova, M.A., Shebzukhov, A.A. Dimensional dependences of the interfacial tension at a solid—liquid interface and the melting temperature of metal nanoparticles. Bull. Russ. Acad. Sci. Phys. 76, 773–777 (2012). https://doi.org/10.3103/S1062873812070313
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1062873812070313