Abstract
Within the framework of the thermodynamics of a two-phase system with a curved surface, an equation is obtained for the size dependence of the surface tension of a spherical particle at the boundary with vapor, taking the effect of phase equilibrium on the temperature into account. Numerical calculations have been carried out for liquid nanodroplets of a number of metals. A nonmonotonic change in the surface tension with a decrease in the radius of the tension surface has been established: an increase in the region of large sizes and a decrease in the region of small ones.
REFERENCES
Rusanov, A.I., Fazovye ravnovesiya i poverkhnostnye yavleniya (Phase Equilibria and Surface Phenomena), Leningrad: Khimiya, 1967.
Tolman, R.C., J. Chem. Phys., 1949, vol. 17, no. 3, p. 333.
Bykov, T.V. and Shchekin, A.K., Neorg. Mater., 1999, vol. 35, no. 6, p. 759.
Bykov, T.V. and Shchekin, A.K., Colloid J., 1999, vol. 61, no. 2, p. 144.
L’vov, P.E. and Svetukhin, V.V., Phys. Solid State, 2014, vol. 56, no. 9, p. 1889.
Alchagirov, B.B., Dadashev, R.Kh., Dyshekova, F.F., and Elimkhanov, D.Z., High Temp., 2014, vol. 52, no. 6, p. 920.
Shebzukhov, A.A., Osiko, T.P., Kozhokova, F.M., and Mozgovoi, A.G., in Obzory po teplofizicheskim svoistvam veshchestv (Reviews on the Thermophysical Properties of Substances), Moscow, 1981, no. 5(31).
Shcherbakov, L.M., in Issledovaniya v oblasti poverkhnostnykh sil (Surface Force Research), Moscow: Akad. Nauk SSSR, 1961, p. 28.
Sdobnyakov, N.Yu. and Samsonov, V.M., Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Tekhnol., 2003, vol. 46, no. 5, p. 90.
Samsonov, V.M., Chernysheva, A.A., and Sdobnyakov, N.Yu., Bull. Russ. Acad. Sci.: Phys., 2016, vol. 80, p. 494.
Rekhviashvili, S.Sh. and Kishtikova, E.V., Tech. Phys., 2011, vol. 81, no. 1, p. 143.
Rekhviashvili, S.Sh. and Kishtikova, E.V., J. Exp. Theor. Phys., 2014, vol. 145, no. 6, p. 985.
Rusanov, A.I., Phasengleichgewichte und Grenzflache-nerscheinungen, Berlin: Academie, 1978.
Rusanov, A.I., Surf. Sci. Rep., 1996, vol. 23, p. 173.
Rusanov, A.I., Surf. Sci. Rep., 2005, vol. 58, p. 111.
Rusanov, A.I., Termodinamicheskie osnovy mekhano-khimii (Thermodynamic Foundations of Mechanochemistry) St. Petersburg: Nauka, 2006.
Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Poverkhn.: Rentgenovskie, Sinkhrotronnye Neitr. Issled., 2009, no. 11, p. 102.
Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Poverkhn.: Rentgenovskie, Sinkhrotronnye Neitr. Issled., 2009, no. 12, p. 94.
Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Izv. Kabardino-Balkar. Gos. Univ., 2010, no. 1, p. 17.
Baidov, V.V. and Kunin, L.L., in Poverkhnostnye yavleniya v rasplavakh i voznikayushchikh iz nikh tverdykh fazakh (Surface Phenomena in Melts and Solid Phases Arising from Them) Nal’chik, 1965, p. 89.
Vogelsberger, W.J. and Marx, G., Z. Phys. Chem., 1976, vol. 257, no. 3, p. 580.
Vogelsberger, W.J., Sonnefeld, J., and Rudakoff, G., Z. Phys. Chem., 1985, vol. 226, no. 2, p. 225.
Shebzuhova, M.A. and Shebzuhov, A.A., Tr. Mezhdun. mezhdisc. simp. “Fizika poverhnostnyh yavlenij, mezhfaznyh granic i fazovye perekhody” (Proc. Int. Interdisciplinary Symp. “Physics of Surface Phenomena, Interfaces, and Phase Transitions”), Rostov-on-Don: Yuzhn. Fed. Univ., 2013, no. 3, p. 231.
Shebzuhova, M.A., Shebzuhov, Z.A., and Shebzuhov, A.A., Bull. Russ. Acad. Sci.: Phys., 2010, vol. 74, no. 5, p. 697.
Rusanov, A.I., Lektsii po termodinamike poverkhnostei (Lectures on Thermodynamics of Surfaces), St. Petersburg: Lan’, 2013.
Zadumkin, S.N., Dokl. Akad. Nauk SSSR, 1957, vol. 112, no. 3, p. 453.
Zadumkin, S.N., in Poverkhnostnye yavleniya v rasplavakh i voznikayushchikh iz nikh tverdykh fazakh (Surface Phenomena in Melts and Solid Phases Arising from Them), Nal’chik, 1965, p. 12.
Gladkih, N.T., Dukarov, S.V., Kryshtal A.P., Larin, V.I., and Sukov, V.N., Kapillyarnye svoistva ostrovkovyh plenok i malykh chastits (Capillary Properties of Island Films and Small Particles), Kharkiv: Kharkiv Nats. Univ., 2015.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Kuzamishev, A.G., Shebzukhova, M.A., Bzhikhatlov, K.C. et al. The Dimensional Dependences of the Thermophysical Properties of Nanoparticles: Surface Tension. High Temp 60, 304–310 (2022). https://doi.org/10.1134/S0018151X22030105
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018151X22030105