Abstract
The isothermal bulk modulus \(K_{{T_{m}}}\) and surface tension γm of liquid metals at the melting point increase with decreasing atomic size a, and these dependences are similar to one another. It is shown that transition metals with a hexagonal closed-packed and body-centered cubic structure are concentrated above the γm−\(K_{{T_{m}}}\) regression line, and face-centered cubic metals are below this line. In alkali, alkaline earth, rare earth metals, the surface tension γm with a change in the isothermal bulk modulus \(K_{{T_{m}}}\) increases several times more intensively than in transition metals. The reduced quantities of isothermal bulk modulus and surface tension have been introduced. The reduced surface tension demonstrates high coincidence with atomic size parameter a−2, and the reduced isothermal bulk modulus with atomic size parameter a−3. The ratio of the surface tension to the product of the atomic size and the isothermal bulk modulus γm×(a \(K_{{T_{m}}}\))−1 compares the energy of atoms on the surface and in the bulk.
Similar content being viewed by others
References
L.D. Landau and E.M. Lifshitz: Theory of Elasticity, Pergamon Press, Oxford, 1975, pp. 8–9.
R. Shuttleworth: Proc. Phys. Soc. A, 1950, vol. 63, pp. 444–57.
N.H. March and M.P. Tosi: Atomic Dynamics in Liquids, London Macmillan Press, London, 1976, pp. 256–78.
T. Iida and R.I.L. Guthrie: The Thermophysical Properties of Metallic Liquids, University Press, Oxford, 2015, pp. 497–543.
G. Kaptay: Metall. Mater. Trans. B, 2008, vol. 39B, pp. 387–89.
T. Iida and R. Guthrie: Metall. Mater. Trans. B, 2010, vol. 41B, pp. 437–47.
F. Aqra and A. Ayyad: Metall. Mater. Trans. B, 2011, vol. 42, pp. 5–8.
B.J. Keene: Int. Mater. Rev., 1993, vol. 38, pp. 157–92.
E.T. Turkdogan: Can. Metall. Q., 2002, vol. 41, pp. 151–62.
Y. Marcus: Phys. Chem. Liquids, 2016, vol. 55, pp. 522–31.
Y.N. Starodubtsev, V.S. Tsepelev, K.M. Wu, Y.A. Kochetkova, and N.P. Tsepeleva: Key. Eng. Mater., 2020, vol. 861, pp. 46–51.
S. Blairs: Int. Mater. Rev., 2007, vol. 52, pp. 321–44.
S. Wacke, T. Górecki, C. Górecki, and K. Książek: J. Phys., 2011, vol. 289, 012020.
N.N. Greenwood and A. Earnshow: Chemistry of the Elements, Butterworth-Heinemann, Oxford, 1998.
Yu.N. Starodubtsev and V.S. Tsepelev: Metall. Mater. Trans. B, 2021, vol. 52B, pp. 1886–90.
Y. Marcus: J. Chem. Thermodyn., 2016, vol. 109, pp. 11–15.
D.M. Herlach, P. Galenko, and D. Holland-Moritz: Metastable Solids from Undercooled Melts, Elsevier, Amsterdam, 2007, pp. 67–95.
R.D. Present: J. Chem. Phys., 1974, vol. 61, pp. 4267–69.
P.A. Egelstaff and B. Widom: J. Chem. Phys., 1970, vol. 53, pp. 2667–69.
Y. Marcus: J. Chem. Phys., 2013, vol. 139, 124509.
F. Agra: Physica B, 2014, vol. 446, pp. 28–31.
G. Weir: Proc. R. Soc. A, 2008, vol. 464, pp. 2281–92.
Acknowledgments
The article was made within the framework of state work No. FEUZ-0836-0020.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Starodubtsev, Y.N., Tsepelev, V.S. Effect of Atomic Size on the Isothermal Bulk Modulus and Surface Tension of Liquid Metals. Metall Mater Trans B 53, 2547–2552 (2022). https://doi.org/10.1007/s11663-022-02550-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11663-022-02550-1