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.
Similar content being viewed by others
References
Y Waseda The structure of Non-crystalline Materials (New York: McGraw Hill) (1980)
Y Waseda Chin. J. Phys. 31 225 (1993)
W Zaiss and S Steeb J. Phys. Chem. Liquids 6 1 (1976)
R V G Rao and A Satpathy Phys. Rev. B 41 995 (1990)
H T J Reijers, W Vander Lugt and M L Saboungi Phys. Rev. B 42 3395 (1990)
W Vander Lugt J. Phys. Condens. Matter 8 6115 (1996)
O Genser and J Hafner Phys. Rev. B 63 144204 (2001)
Y Senda, F Shimojo and K Hoshino J. Phys. Condens. Matter 11 2199 (1999)
Y Senda, F Shimojo and K Hoshino J. Phys. Condens. Matter 12 6101 (2000)
Y Senda, F Shimojo and K Hoshino Comp. Phys. Commun. 142 401 (2001)
A. Satpathy Indian J. Phys. 75A 87 (2001)
H Ruppersberg and H Reiter J. Phys. F 12 1311 (1982)
K Hoshino J. Phys. F 13 1981(1983)
K Hoshino and W H Young J. Phys. F 11 L 7 (1981)
K Hoshino J. Phys. F 12 1891 (1982)
K Hoshino and W H Young J. Phys. F 10 1365 (1980)
P P Nath and R N Joarder Indian J. Phys. 84 125 (2010)
Y Senda, F Shimojo and K Hoshino Prog. Theor. Phys. 138 245 (2000)
C Van der Marel, A B van Oosten, W Geertsma and W Vander Lugt J. Phys. F 12 2349 (1982)
C Van der Marel, P C Stein and W Vander Lugt Phys. Letts. 95A 451 (1983)
M Stolz, R Winter, W S Howells and R L McGreevy J. Phys. Condens. Matter 7 5733 (1995)
G K Johnson and M L Saboungi J. Chem. Phys. 86 6376 (1987)
M L Saboungi, H T Reijers, M Blander and G K Johnson J. Chem. Phys. 89 5869 (1988)
Y Senda, F Shimojo, K Hoshino J. Non cryst. Solids 250 258 (1999
T Arai, L Pusztai and R L Mcgreevy J. Phys. Condens. Matter 19 335202 (2007)
L Pauling The Nature of Chemical Bond (Ithaca, NY: Cornell University Press) Chap 3, Sect 3, p 97 (1960)
D Adhikari, I S Jha and B P Singh Indian J. Phys 86 783 (2012)
R V G Rao and A Satpathy Phys. Stat. Sol. (b) 150 53 (1988)
Alok Satpathy PhD Thesis (Statistical Mechanics of Some Partially Ordered Systems, Jadavpur University, India) (1990)
H Ruppersberg and W Speicher Z. Naturforsch 31a 47 (1976)
R Hultgren et al Selected Values of the Thermodynamic Properties of the Elements (Metal Parks, Ohio: American Society of metals) (1973b)
A I Demidov, A G Morchevskiiand and L N Gerasimenko Sov. Phys. Electrochem. 9 813 (1973)
M L Saboungi, J Marr and M Blander J. Chem. Phys. 68 1375 (1978)
J Hafner, A Pasturei and P Hicter J. Phys. F 12 2279 (1984)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-014-0603-6
Keywords
- First sharp diffraction peak
- Chemical short range ordering
- Compound forming tendency
- Zintl ions
- Partial charge transfer