A Variational Technique for Thermodynamics of Liquid K(1-x)Rbx Alloys

DOI: https://doi.org/10.26565/2312-4334-2021-2-09
Keywords: thermodynamical properties, liquid alkali alloy, pseudopotential theory, variational approach, Gibbs-Bogoliubov inequality

Abstract

Liquid K_(1-x) Rb_x binary alloys with various thermodynamical proportions of participating elements are investigated. The properties of thermodynamic interest are included in the study. The internal energy (Fint), Helmholtz free enrgy (FH) and the entropy (S) have been calculated in a concentration range from X=0.0 to X=1.0 increasing in a step of 0.1 in the present work. Apart from the internal energy (Fint), various contributions to this energy are also calculated and separately depicted in the present article. A variational approach has been adopted for the present calculation. A single potential with a set of two parameters is used for the calculation of all properties of the alloys. Static Hartree local field function (H) is used to consider screening effect. Various local field correction functions are used to take into account the exchange and correlation effect. Comparison with experimental data at some concentration shows the good agreement with the presently obtained data. With the help of current results, the applied model potential found very suitable with individual parameters for thermodynamical study. As the present results provide the data even where minimum availability of the experimental findings, it can serve as a data base for the future calculation which deals with thermodynamics of the liquid alloys. Present results allow one to get proportion based tuned properties of the K_(1-x) Rb_x for different requirements.

Downloads

Download data is not yet available.

References

C. Fiolhais, J.P. Perdew, S.Q. Armster, J.M. MacLaren, and M. Brajczewska, Phys. Rev. B, 51, 14001–14011 (1995), https://doi.org/10.1103/PhysRevB.51.14001.

A.M. Vora, J. Eng. Phys. Thermophys. 82, 779–788 (2009), https://doi.org/10.1007/s10891-009-0250-5.

N. Dubinin, N.A. Vatolin, and V.V. Filippov, Russ. Chem. Rev. 83, 987 (2014), https://doi.org/10.1070/RCR4410.

I. Umar, A. Meyer, M. Watabe, and W. Young, J. Phys. F Met. Phys. 4, 1691 (1974), https://doi.org/10.1088/0305-4608/4/10/016.

R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, and K. K. Kelley, Selected Values of the Thermodynamic Properties of Binary Alloys, Am. Soc. Metals, Metal Park, 1973.

R.C. Malan, and A.M. Vora, AIP Conf. Proc. 2009, 020052, (2018), https://doi.org/10.1063/1.5052121.

R.C. Malan, and A.M. Vora, J. Nano-Electronic Phys. 10, 03020 (2018), https://10.21272/jnep.10(1).01002.

A. Isihara, J. Phys. Gen. Phys. 1, 539 (1968), https://doi.org/10.1088/0305-4470/1/5/305.

A.M. Vora, J. Theor. Appl. Phys. 3, 25–32 (2010), https://www.sid.ir/FileServer/JE/134220100405.pdf.

Y. Waseda, The structure of non-crystalline materials: liquids and amorphoussolids, (New York, McGraw-Hill, 1980).

J. Hubbard, Royal Proc. London A, 243, 336–352 (1958), https://doi.org/10.1098/rspa.1958.0003.

L. Sham, Royal Proc. of London A, 283, 33–49 (1965), https://doi.org/10.1098/rspa.1965.0005.

P. Vashishta, and K. Singwi, Phys. Rev. B, 6, 875, (1972), https://doi.org/10.1103/PhysRevB.6.875.

R. Taylor, J. Phys. F Met. Phys. 8, 699 (1978), https://doi.org/10.1088/0305-4608/8/8/011.

A. Sarkar, D. Sen, S. Haldar, and D. Roy, Mod. Phys. Lett. B, 12, 639–648 (1998), https://doi.org/10.1142/S0217984998000755.

S. Ichimaru, and K. Utsumi, Phys. Rev. B, 24, 7385 (1981), https://doi.org/10.1103/PhysRevB.24.7385.

B. Farid, V. Heine, G. Engel, and I. Robertson, Phys. Rev. B, 48, 11602 (1993), https://doi.org/10.1103/PhysRevB.48.11602.

I. Nagy, J. Phys. C Solid State Phys. 19, L481 (1986), https://doi.org/10.1088/0022-3719/19/22/002.

P.B. Thakor, Ph.D. Thesis, Sardar Patel University, V.V. Nagar, Gujarat, India, 2004.

Published
2021-04-29
Cited
How to Cite
Malan, R. C., & Vora, A. M. (2021). A Variational Technique for Thermodynamics of Liquid K(1-x)Rbx Alloys. East European Journal of Physics, (2), 122-126. https://doi.org/10.26565/2312-4334-2021-2-09
Issue
No. 2 (2021): East European Journal of Physics
Section
Original Papers

Authors who publish with this journal agree to the following terms:

    • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
    • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
    • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).