Study of Energy of Formation for FexNi1-x Liquid Binary Alloys

Main Article Content

M. S. S. Chowdhury
Mohammad A. Rashid
M. A. Rahman
A. Z. Ziauddin Ahmed

Abstract

In this present study we have systematically calculated the free energy of formation for FexNi1-x binary alloys at a thermodynamic state T = 1920 K. A microscopic theory bases on first order perturbation theory along with a reference hard sphere liquid has been applied. The interionic interaction is described by Bretonnet-Silbert local pseudopotential that capable of takes into account the s-d hybridization in electro-ion interaction in transition metals. The effective hard sphere diameters have been determined using linearized Weeks-Chandler-Andersen (LWCA) perturbation theory and the partial structure calculated in line with Ashcroft and Langreths original work. The calculated theoretical value and available experimental data for free energy of formation are in agreement quite satisfactorily.

Keywords:
Free energy, energy of formation, liquid binary alloys, Pseudopotential.

Article Details

How to Cite
S. Chowdhury, M. S., A. Rashid, M., Rahman, M. A., & Ziauddin Ahmed, A. Z. (2019). Study of Energy of Formation for FexNi1-x Liquid Binary Alloys. Asian Journal of Research and Reviews in Physics, 2(4), 1-12. Retrieved from http://journalajr2p.com/index.php/AJR2P/article/view/30105
Section
Original Research Article

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[5] Sverjensky DA, Molling PA. A linear free energy relationship for crystalline solids and aqueous ions. Nature.
1992;356(6366):231234.
[6] Bhatia AB, Singh RN. A quasi-lattice theory for compound forming molten alloys. Physics and Chemistry of Liquids.
1984;13(3):177190.
[7] Hoyt JJ, Asta M. Atomistic computation of liquid diffusivity, solid-liquid interfacial free energy, and kinetic coefficient in Au and Ag.
Physical Review B. 2002;65(21):214106.
[8] Umar IH, Meyer A, Watabe M, Young WH. Thermodynamic calculations for liquid alloys with an application to sodium- potassium. Journal of Physics F: Metal Physics.
1974;4(10):16911706.
[9] Sheng J, Yamana H, H Moriyama. Gibbs free energy of formation of liquid lanthanidebismuth alloys. Journal of
Nuclear Materials. 2001;299(3):264266.
[10] Akinlade O, Singh RN. Bulk and surface properties of liquid In Cu alloys. Journal of Alloys and Compounds. 2002;333(1):8490.
[11] Bhuiyan GM, Ziauddin Ahmed AZ. Energy of formation for AgxIn1 x and AgxSn1 x liquid binary alloys. Physica B: Condensed
Matter. 2007;390(1):377385.
[12] Fiolhais C, Perdew JP, Armster SQ, MacLaren JM, Brajczewska M. Dominant density parameters and local pseudopotentials for simple metals. Physical Review B.
1995;51(20):1400114011.
[13] Arai Y, Shirakawa Y, amaki ST, Saito M, Waseda Y. Structural properties of liquid ag- in system. physics and chemistry of liquids.
1998;35(4):253268.
[14] Pecora LM, Ehrlich AC. Evidence for changes in s d hybridization in phase cu-ge alloys from positron annihilation experiments. Physical Review Letters.
1981;46(22):14761479.
[15] Bretonnet JL, Silbert M. Interionic interactions in transition metals. Application to Vanadium. Physics and Chemistry of Liquids. 1992;24(3):169176.
[16] Shimoji M. Liquid metals: Introduction to the physics of metals in a liquid state. Academic Press, Cambridge, Massachusetts, United States, 1st edition; 1977.
[17] Waseda Y. The structure of non crystalline materials: Liquids and amorphous solids.
Springer, Berlin, Heidelberg, Mexico, New York, 1st edition; 1980.
[18] Percus JK, Yevick GJ. Analysis of classical statistical mechanics by means of collective coordinates. Physical Review.
1958;110(1):113.
[19] Meyer A, Silbert M, Young WH. Soft core description of the structure of liquid rare earth metals. Physics and Chemistry of Liquids. 1989;19(2):97105.
[20] Singh RN, Sommer F. Segregation and immiscibility in liquid binary alloys. Reports
on Progress in Physics. 1997;60(1):57150.
[21] Ichimaru S, Utsumi K. Analytic expression for the dielectric screening function of strongly coupled electron liquids at metallic and lower densities. Physical Review B.
1981;24(12):73857388.
[22] Ashcroft NW, Langreth DC. Structure of binary liquid mixtures. I. Physical Review.
1967;156(3):685692.
[23] Pines D. Elementary excitations in solids. The Benjamin/Cummings Publishing Company, Reading, MA, 1st edition; 1963.
[24] Hasegawa M, Watabe M. Theory of thermodynamic properties of liquid metals.
Journal of the Physical Society of Japan.
1974;36(6):15101515.
[25] Hausleitner C, Kahl G, Hafner J. Liquid structure of transition metals: Investigations using molecular dynamics and perturbation- and integral-equation
techniques. Journal of Physics: Condensed Matter. 1991;3(11):15891602.
[26] Harrison WA. Electronic structure and the properties of solids. The Physics of the Chemical Bond. W.H. Freeman Co., San Francisco, 1st edition; 1980.
[27] Bhuiyan GM, Bretonnet JL, Gonzalez LE, M Silbert. Liquid structure of titanium and vanadium; VMHNC calculations.
Journal of Physics: Condensed Matter.
1992;4(38):76517660.
[28] Wills JM, Harrison WA. Interionic interactions in transition metals. Physical Review B. 1983;28(8):43634373.
[29] Moriarty JA. Analytic representation of multi-ion interatomic potentials in transition metals. Physical Review B.
1990;42(3):16091628.
[30] Bhuiyan GM, Bretonnet JL, Silbert M. Liquid structure of the 3d transition metals. Journal of Non-Crystalline Solids. 1993;156-158:145148.
[31] Bretonnet JL, Bhuiyan GM, Silbert M. Gibbs-Bogoliubov variational scheme calculations for the liquid structure of 3d transition metals. Journal of Physics: Condensed Matter. 1992;4(24):53595370.