Abstract
We investigate the applicability of a variational method with a new reference system (square-well model) to the description of the structure and thermodynamics of liquid metals. An expression for the system entropy for a one-component fluid is derived. The three parameters of the model (the hard-sphere diameter and the width and depth of the square well) are determined by the variational method using the local pseudopotential approximation. The approach is used for liquid Na and K, and the calculated results are compared with experiment. It is shown that the approach can provide a realistic description of the properties of liquid metals.
Similar content being viewed by others
References
G. A. Mansoori and F. B. Canfield, J. Chem. Phys., 51, 4958–4967 (1969).
I. H. Umar, A. Meyer, M. Watabe, and W. H. Young, J. Phys. F: Metal Phys., 4, 1691–1706 (1974).
A. M. Bratkovsky, V. S. Vaks, and A. V. Trefilov, J. Phys. F: Met. Phys., 13, 2517–2542 (1983).
N. A. Vatolin, A. A. Yuryev, and N. É. Dubinin, Dokl. Akad. Nauk, 323, No. 5, 880–884 (1992).
B. Grosdidier, M. S. Al-Busaidi, and S. M. Osman, J. Non-Cryst. Solids., 353, 3484–3487 (2007).
N. E. Dubinin, L. D. Son, and N. A. Vatolin, J. Phys.: Condens. Matter., 20, 114111 (2008).
N. E. Dubinin, A. A. Yuryev, and N. A. Vatolin, High Temp. Mater. Process, 14, No. 4, 285–290 (1995).
K. K. Mon, R. Gann, and D. Stroud, Phys. Rev. A, 24, 2145–2150 (1981).
S. K. Lai, Phys. Rev. A, 31, 3886–3892 (1985).
J. L. Bretonnet, G. M. Bhuiyan, and M. Silbert, J. Phys.: Condens. Matter., 4, 5359–5370 (1992).
Z. Badirkhan, O. Akinlade, G. Pastore, and M. P. Tosi, J. Phys.: Condens. Matter., 4, 6173–6188 (1992).
C. Hausleitner and J. Hafner, J. Phys. F: Metal Phys., 18, 1013–1023 (1988).
C. Hausleitner and J. Hafner, J. Phys. F: Metal Phys., 18, 1025–1035 (1988).
N. E. Dubinin, A. A. Yuryev, and N. A. Vatolin, J. Non-Equilib. Thermodyn., 35, 289–300 (2010).
R. V. Gopala Rao and A. K. K. Murthy, Phys. Stat. Sol. B, 66, 703–707 (1974).
G. Kahl and J. Hafner, Phys. Chem. Liq., 12, 109–134 (1982).
F. del Rio and L. Lira, J. Chem. Phys., 87, 7179–7183 (1987).
J. Chang and S. I. Sandler, Mol. Phys., 81, 745–765 (1994).
J. L. Lebowitz and J. K. Percus, Phys. Rev., 144, 251–258 (1966).
Y. Tang and B. C.-Y. Lu, J. Chem. Phys., 100, 3079–3084 (1994).
Y. Tang and B. C.-Y. Lu, J. Chem. Phys., 100, 6665–6671 (1994).
Y. Tang, J. Chem. Phys., 127, 164504 (2007).
J. K. Percus and G. Y. Yevick, Phys. Rev., 110, 1–13 (1958).
S. B. Yuste and A. Santos, J. Chem. Phys., 101, 2355–2364 (1994).
S. B. Yuste, A. Santos, and M. L. de Haro, Mol. Phys., 109, 987–995 (2011).
N. E. Dubinin, V. V. Filippov, and N. A. Vatolin, J. Non-Cryst. Solids., 353, 1798–1801 (2007).
N. É. Dubinin, V. V. Filippov, and N. A. Vatolin, Dokl. Akad. Nauk, 427, No. 5, 620–623 (2009).
N. E. Dubinin, V. V. Filippov, O. G. Malkhanova, and N. A. Vatolin, Central European J. Phys., 7, 584–590 (2009).
I. Klebanov, N. Ginchitskii, and P. Gritsay, Modern Phys. Lett. B, 22, 3153–3157 (2008).
M. S. Wertheim, Phys. Rev. Lett., 10, 321–323 (1963).
J. Woodhead-Galloway, T. Gaskell, and N. H. March, J. Phys. C, 1, 271–285 (1968).
N. H. March and M. P. Tosi, Atomic Dynamics in Liquids, Dover, New York (1991).
E. J. Thiele, J. Chem. Phys., 39, 474–479 (1963).
D. Pines and P. Nozieres, The Theory of Quantum Liquids, Benjamin, New York (1966).
P. Vashishta and K. Singwi, Phys. Rev. B, 6, 875–887 (1972).
A. O. E. Animalu and V. Heine, Phil. Mag., 12, 1249–1270 (1965).
V. G. Vaks and A. V. Trefilov, Fiz. Tverd. Tela, 19, No. 1, 244–258 (1977).
M. J. Huijben, J. P. Van Hasselt, K. Van der Weg, and W. Van der Lugt, Scr. Met., 10, 571–574 (1976).
Y. Waseda, The Structure of Non-Cryst. Materials, McGraw-Hill, New York (1980).
R. R. Hultgren, R. L. Orr, P. D. Anderson, and K. K. Kelley, Selected Values of Thermodynamic Properties of Metals and Alloys, Wiley, New York (1973).
L. Verlet and J.-J. Weis, Phys. Rev. A, 5, 939–952 (1972).
D. Henderson and E. W. Grundke, J. Chem. Phys., 63, 601–607 (1975).
S. B. Yuste, M. L. de Haro, and A. Santos, Phys. Rev. E, 53, 4820–4826 (1996).
Yu. T. Pavlyukhin, J. Struct. Chem., 41, No. 5, 809–824 (2000)
J.-X. Sun, L.-C. Cai, Q. Wu, and F.-Q. Jing, Commun. Theor. Phys., 41, 400–404 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text Copyright © 2012 by N. É. Dubinin, A. A. Yuryev, N. A. Vatolin
__________
Translated from Zhurnal Strukturnoi Khimii, Vol. 53, No. 3, pp. 474–481, May–June, 2012.
Rights and permissions
About this article
Cite this article
Dubinin, N.É., Yuryev, A.A. & Vatolin, N.A. Pseudopotential calculation of the structure and thermodynamics of liquid alkali metals with a square-well model as a reference system. J Struct Chem 53, 468–475 (2012). https://doi.org/10.1134/S0022476612030080
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0022476612030080