Thermophysical Study of Sodium–Indium Alloy

N. Panthi$^{1}$, I. B. Bhandari$^{2}$, I. Koirala$^{2}$

$^{1}$Patan Multiple Campus, Tribhuvan University, 44618 Kirtipur, Nepal
$^{2}$Central Department of Physics, Tribhuvan University, 44618 Kirtipur, Nepal

Received: 20.01.2022; final version - 23.09.2022. Download: PDF

This study explores the mixing nature of sodium–indium liquid alloy at temperatures of 713 K, 850 K, 950 K and 1050 K. It uses quasi-lattice approximation for the thermodynamic analysis of concentration dependent mixing behaviours of sodium–indium liquid alloy under the assumption of Na$_3$In complex. It compares the obtained theoretical results with the experimental result and result of Redlich–Kister (R–K) equation for the validity. The researchers concentrate on the viscosity and surface tension of the alloy under the modelling equations as suggested by Kaptay and improved derivation of Butler equation, respectively. This paper focuses on the interaction energy parameters among neighbouring atoms of the alloy. It observes that the alloy is moderately interacting and ordering nature at the lower concentration of sodium. The theoretical results of the thermodynamic properties are nearly in agreement with the corresponding experimental data as well as results obtained by R–K equation at 713 K. It claims that the ordering behaviour, viscosity and surface tension of the alloy decreases with the increase in temperature.

Key words: liquid alloys, thermodynamic properties, R–K equation, energy parameters, ordering.

URL: https://mfint.imp.kiev.ua/en/abstract/v44/i11/1535.html

DOI: https://doi.org/10.15407/mfint.44.11.1535

PACS: 61.82.bg, 66.20.-d, 71.20.Be, 71.20.Gj, 71.55.Ak

Citation: N. Panthi, I. B. Bhandari, and I. Koirala, Thermophysical Study of Sodium–Indium Alloy, Metallofiz. Noveishie Tekhnol., 44, No. 11: 1535—1549 (2022)


REFERENCES
  1. J. A. V. Butler, Proc. Royal Society of London. Series A, 135, Iss. 827: 248 (1932). Crossref
  2. O. Redlich and A. T. Kister, Ind. Eng. Chem., 40, No. 2: 345 (1948). Crossref
  3. A. B. Bhatia and N. H. March, J. Phys. F: Metal Phys., 5: 1100 (1975). Crossref
  4. A. B. Bhatia and R. N. Singh, Phys. Chem. Liquids, 11, Iss. 4: 343 (1982). Crossref
  5. A. B. Bhatia and R. N. Singh, Phys. Chem. Liquids, 13, Iss. 3: 177 (1984). Crossref
  6. R. N. Singh and I. K. Mishra, Phys. Chem. Liquids, 18, Iss. 4: 303 (1988). Crossref
  7. L. C. Prasad and R. N. Singh, Phys. Chem. Liquids, 22, Iss. 1-2: 1 (1990). Crossref
  8. A. G. Morachevskii, Russian J. Applied Chem., 87, No. 7: 837 (2014). Crossref
  9. N. Panthi, I. B. Bhandari, and I. Koirala, J. Phys. Commun., 5: 085005 (2021). Crossref
  10. N. Panthi, I. B. Bhandari, R. K. Rai, and I. Koirala, Adv. Studies Theoretical Phys., 15, No. 4: 153 (2021). Crossref
  11. C. Hoch and A. Simon, Angewandte Chemie, 51, Iss. 13: 3262 (2012). Crossref
  12. L. Wang, Y. Liu, and J. Liu, J. Phase Equilibria Diffusion, 34: 447 (2013). Crossref
  13. S. Larose and A. D. Pelton, J. Phase Equilibria, 12, No. 3: 371 (1991). Crossref
  14. H. E. Bartlett, A. J. Neethling, and P. Crowther, J. Chem. Thermodynamics, 2, Iss. 4: 523 (1970). Crossref
  15. R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, and K. K. Kelley, Selected Values of the Thermodynamic Properties of Binary Alloys (Ohio: Metal Park: 1973).
  16. I. Budai, M. Z., Benko, and G. Kaptay, Materials Science Forum, 537-538: 489 (2007). Crossref
  17. G. Kaptay, Langmuir, 35, No. 33: 10987 (2019). Crossref
  18. R. N. Singh, Canadian J. Phys., 65, No. 3: 309 (1987). Crossref
  19. H. Li, X. Sun, and S. Zhang, Mater. Trans., 55, No. 12: 1816 (2014). Crossref
  20. S. K. Yadav, M. Gautam, and D. Adhikari, AIP Adv., 10, Iss. 12: 125320 (2020). Crossref
  21. A. B. Bhatia and D. E. Thornton, Phys. Rev. B, 2, No. 8: 3004 (1970). Crossref
  22. J. M. Cowley, Phys. Rev., 77, No. 5: 669 (1950). Crossref
  23. B. E. Warren, X-ray Diffraction (Addison-Wesley: 1969).
  24. E. A. Guggenheim, Mixtures (Oxford: Oxford University Press: 1952).
  25. R. Novakovic, E. Ricci, M. L. Muolo, D. Giuranno, and A. Passerone, Intermetallics, 11, No. 11-12: 1301 (2003). Crossref
  26. G. Kaptay, Z. Metallkd, 96, No. 1: 24(2005). Crossref
  27. E. A. Brandes and G. B. Brook, Smithells Metals Reference Book (Elsevier: 2013).
  28. G. Kaptay, Calphad, 29, No. 1: 56 (2005). Crossref
  29. R. K. Gohivar, S. K. Yadav, R. P. Koirala, and D. Adhikari, Phys. Chem. Liquids, 59, Iss. 5: 679 (2021). Crossref
  30. D. A. Porter and K. E. Easterling, Phase Transformations in Metals and Alloys (Boca Raton: CRC press: 2009). Crossref
  31. I. S. Jha, R. Khadka, R. P. Koirala, B. P. Singh, and D. Adhikari, Phil. Mag., 96, No. 16: 1664 (2016). Crossref
  32. G. Kaptay, Adv. Colloid Interface Sci., 283: 102212 (2020). Crossref