Skip to main content
Log in

An alternative method on the evaluation of entropy of mixing of liquid Li–Pb and Na–Pb alloys

  • Original paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

A formalism is presented for the computation of entropy of mixing of the structurally inhomogeneous liquid alloys having intermediate range ordering in real space, which is prominently manifested by first sharp diffraction peak i.e. prepeak in their structural data at and around the stoichiometric compositions. These are usually classified as liquid alloys having chemical short range ordering. In this paper, the present method of computation of entropies is applied to Li–Pb and Na–Pb alloys based on a partial charge transferred hard-sphere model. The entropies of mixing are computed and compared with the experimental data. The theoretical outcomes are in a very good agreement with experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Y Waseda The structure of Non-crystalline Materials (New York: McGraw Hill) (1980)

  2. Y Waseda Chin. J. Phys. 31 225 (1993)

    ADS  Google Scholar 

  3. W Zaiss and S Steeb J. Phys. Chem. Liquids 6 1 (1976)

    Google Scholar 

  4. R V G Rao and A Satpathy Phys. Rev. B 41 995 (1990)

    Article  ADS  Google Scholar 

  5. H T J Reijers, W Vander Lugt and M L Saboungi Phys. Rev. B 42 3395 (1990)

    Article  Google Scholar 

  6. W Vander Lugt J. Phys. Condens. Matter 8 6115 (1996)

  7. O Genser and J Hafner Phys. Rev. B 63 144204 (2001)

    Article  ADS  Google Scholar 

  8. Y Senda, F Shimojo and K Hoshino J. Phys. Condens. Matter 11 2199 (1999)

    Article  ADS  Google Scholar 

  9. Y Senda, F Shimojo and K Hoshino J. Phys. Condens. Matter 12 6101 (2000)

    Article  ADS  Google Scholar 

  10. Y Senda, F Shimojo and K Hoshino Comp. Phys. Commun. 142 401 (2001)

    Article  ADS  MATH  Google Scholar 

  11. A. Satpathy Indian J. Phys. 75A 87 (2001)

  12. H Ruppersberg and H Reiter J. Phys. F 12 1311 (1982)

    Article  ADS  Google Scholar 

  13. K Hoshino J. Phys. F 13 1981(1983)

  14. K Hoshino and W H Young J. Phys. F 11 L 7 (1981)

  15. K Hoshino J. Phys. F 12 1891 (1982)

  16. K Hoshino and W H Young J. Phys. F 10 1365 (1980)

  17. P P Nath and R N Joarder Indian J. Phys. 84 125 (2010)

  18. Y Senda, F Shimojo and K Hoshino Prog. Theor. Phys. 138 245 (2000)

    Google Scholar 

  19. C Van der Marel, A B van Oosten, W Geertsma and W Vander Lugt J. Phys. F 12 2349 (1982)

    Article  ADS  Google Scholar 

  20. C Van der Marel, P C Stein and W Vander Lugt Phys. Letts. 95A 451 (1983)

  21. M Stolz, R Winter, W S Howells and R L McGreevy J. Phys. Condens. Matter 7 5733 (1995)

    Article  ADS  Google Scholar 

  22. G K Johnson and M L Saboungi J. Chem. Phys. 86 6376 (1987)

    Article  ADS  Google Scholar 

  23. M L Saboungi, H T Reijers, M Blander and G K Johnson J. Chem. Phys. 89 5869 (1988)

    Article  ADS  Google Scholar 

  24. Y Senda, F Shimojo, K Hoshino J. Non cryst. Solids 250 258 (1999

    Article  ADS  Google Scholar 

  25. T Arai, L Pusztai and R L Mcgreevy J. Phys. Condens. Matter 19 335202 (2007)

    Article  MathSciNet  Google Scholar 

  26. L Pauling The Nature of Chemical Bond (Ithaca, NY: Cornell University Press) Chap 3, Sect 3, p 97 (1960)

  27. D Adhikari, I S Jha and B P Singh Indian J. Phys 86 783 (2012)

    Google Scholar 

  28. R V G Rao and A Satpathy Phys. Stat. Sol. (b) 150 53 (1988)

    Article  ADS  Google Scholar 

  29. Alok Satpathy PhD Thesis (Statistical Mechanics of Some Partially Ordered Systems, Jadavpur University, India) (1990)

  30. H Ruppersberg and W Speicher Z. Naturforsch 31a 47 (1976)

  31. R Hultgren et al Selected Values of the Thermodynamic Properties of the Elements (Metal Parks, Ohio: American Society of metals) (1973b)

    Google Scholar 

  32. A I Demidov, A G Morchevskiiand and L N Gerasimenko Sov. Phys. Electrochem. 9 813 (1973)

    Google Scholar 

  33. M L Saboungi, J Marr and M Blander J. Chem. Phys. 68 1375 (1978)

    Article  ADS  Google Scholar 

  34. J Hafner, A Pasturei and P Hicter J. Phys. F 12 2279 (1984)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Satpathy.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Satpathy, A., Sengupta, S. An alternative method on the evaluation of entropy of mixing of liquid Li–Pb and Na–Pb alloys. Indian J Phys 89, 323–329 (2015). https://doi.org/10.1007/s12648-014-0603-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-014-0603-6

Keywords

PACS Nos.

Navigation