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Structure-induced order – disorder transformation in Cd – Na liquid alloys

  • R. N. Singh and I. Ali EMAIL logo
Published/Copyright: January 19, 2022
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 97 Issue 4

Abstract

The origins of the S-shaped entropy of mixing and order – disorder transformation in Cd –Na liquid alloys have been investigated within a first-principle approach of a pseudo-potential perturbation scheme with the Gibbs–Bogoliubov variation technique.We find that the deepening of the structure part of the entropy around the stoichiometric composition (cNa ≈ 0.33) is responsible for the S-shaped entropy and suggests the existence of short-range order in the liquid state. The role of the local-field correction function, G(q), of conduction electrons on the entropy of mixing is examined. The impact of G(q) on partial structure factors is more visible towards low q (q → 0) than at higher q.

Keywords: Alloys; Electronic theory; Entropy; Structure factor; Correlation functions
Professor I. Ali Dept. of Physics, College of Science PO Box 36, Al-Khod 123 Sultan Qaboos University Sultanate of Oman Tel.: +968 2441 5456 Fax: +968 2441 4228

Dedicated to Prof. Dr. Ferdinand Sommer on the occasion of his 65th birthday

References

[1] R. Hultgren, P.D. Desai, D.T. Hawkins, M. Gleiser, K.K. Kelley: Selected Values of the Thermodynamic Properties of Binary Alloys, Metals Park, OH: American Society of Metal, 1973.Search in Google Scholar

[2] H. Hoshino, H. Endo: Phys. Chem. Liq. 11 (1982) 327.10.1080/00319108208080754Search in Google Scholar

[3] S. Harada, S. Takahashi, S. Takeda, S. Tamaki, P. Gray, N.E. Cusak: J. Phys. F Metal Phys. 18 (1988) 2559.10.1088/0305-4608/18/12/007Search in Google Scholar

[4] B. Karaoglu, W.H. Young: J. Phys. Cond. Matter 2 (1990) 9189.10.1088/0953-8984/2/46/018Search in Google Scholar

[5] R.N. Singh, I.S. Jha, S.K. Sinha: J. Phys. Cond. Matter 3 (1991) 2787.10.1088/0953-8984/3/16/017Search in Google Scholar

[6] Z.H. Jin, K.Y. Chen, K. Lu, Z.Q. Hu: J. Phys. Cond. Matter 8 (1996) 8105.10.1088/0953-8984/8/43/008Search in Google Scholar

[7] G.A. Mansoori, N.F. Carnahan, K.E. Starling, T.W. Leland: J. Chem. Phys. 54 (1971) 1523.10.1063/1.1675048Search in Google Scholar

[8] W.H. Young, in: Liquid Metals and Alloys (sp. issue), Can. J. Phys. 65 (1987) 241.Search in Google Scholar

[9] N.W. Ashcroft, D. Stroud: Solid St. Phys. 33 (1978) 1.10.1016/S0081-1947(08)60468-3Search in Google Scholar

[10] N.W. Ashcroft: Phys. Lett. A 23 (1966) 48.10.1016/0031-9163(66)90251-4Search in Google Scholar

[11] W.A. Harrison: Pseudopotential in the Theory of Metals, Benjamin, New York, 1966.Search in Google Scholar

[12] R.N. Singh, in: Y.A. Chang, F. Sommer (Eds.), Thermodynamics of Alloy Formation, TMS, Penn, 1997, p. 229.Search in Google Scholar

[13] J.F. Wax, J.L. Bretonet: J. Non-cryst. Solids 250–252 (1999) 30.10.1016/S0022-3093(99)00209-4Search in Google Scholar

[14] J. Hubbard: Proc. Roy. Soc. A 240 (1957) 539; L.J. Sham: Proc. Roy. Soc. A 283 (1965) 33.Search in Google Scholar

[15] S. Ichimaru, K. Utsumi: Phys. Rev. B 24 (1981) 7385.10.1103/PhysRevB.24.7385Search in Google Scholar

[16] N.W. Ashcroft, D.C. Langreth: Phys. Rev. 156 (1967) 685; 159 (1967) 500.10.1103/PhysRev.156.685Search in Google Scholar

[17] A.B. Bhatia, in: Liquid Metals, Inst. Phys. Conf. ser. 30, IOP, Bristol, 1976, 21.Search in Google Scholar

[18] R.N. Singh, in: Liquid Metals and Alloys (sp. issue): Can. J. Phys. 65 (1987) 309.Search in Google Scholar
Received: 2005-11-12
Accepted: 2005-12-19
Published Online: 2022-01-19

© 2006 Carl Hanser Verlag, München

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Evolution of the mixed-mode character of solid-state phase transformations in metals involving solute partitioning
  4. Liquid–liquid interfacial tension in themonotectic alloy (Al34.5Bi65.5)95Si5 (wt.%)
  5. Influence of Sb additions on surface tension and density of Sn–Sb, Sn–Ag–Sb and Sn–Ag–Cu–Sb alloys: Experiment vs. modeling
  6. Liquid–liquid transition in elemental liquids investigated by sound velocity measurements: trends in the periodic table
  7. Bulk and surface properties of liquid Ga–Tl and Zn–Cd alloys
  8. Structure-induced order – disorder transformation in Cd – Na liquid alloys
  9. An indirect approach to measure glass transition temperature in metallic glasses
  10. Fragility, kinetic stability and phase separations in the undercooled state of bulk glass formers – a case study on metallic model systems
  11. Development of long-period ordered structures during crystallisation of amorphous Mg80Cu10Y10 and Mg83Ni9Y8
  12. Isothermal crystallization behavior of undercooled liquid Pd40Cu30Ni10P20 in terms of crystal growth, overall volume crystallization kinetics and their relation to the viscosity temperature dependence
  13. The magnesium-ytterbium system: A contribution to the thermodynamics of solid alloys
  14. Experimental investigation and thermodynamic modelling of the Mg–Al-rich region of the Mg–Al–Sr System
  15. Thermodynamic properties and phase relations of Zn-rich alloys in the system Pt–Zn
  16. Comparison of thermodynamic data of the ternary Cu–Sn–Zn system, measured with the EMF and with the calorimetric method
  17. Analysis of phase formation in Ni-rich alloys of the Ni–Ta–W system by calorimetry, DTA, SEM, and TEM
  18. Site preference, thermodynamic, and magnetic properties of the ternary Laves phase Ti(Fe1 – xAlx)2 with the crystal structure of the MgZn2-type
  19. Activity measurements on the Al-rich region of the Ni–Al system – A high temperature mass spectrometric study
  20. Metastable phases and nanocrystalline-forming ability (NFA) of melt-quenched Ni-rich (Zr, Hf)–Ni alloys
  21. Low temperature deposition with inductively coupled plasma
  22. Instructions for Authors
  23. Personal/Personelles
  24. Press/Presse
  25. Conferences/Konferenzen
  26. Frontmatter
  27. Editorial
  28. Editorial
  29. BBasic
  30. Evolution of the mixed-mode character of solid-state phase transformations in metals involving solute partitioning
  31. Liquid–liquid interfacial tension in themonotectic alloy (Al34.5Bi65.5)95Si5 (wt.%)
  32. Influence of Sb additions on surface tension and density of Sn–Sb, Sn–Ag–Sb and Sn–Ag–Cu–Sb alloys: Experiment vs. modeling
  33. Liquid–liquid transition in elemental liquids investigated by sound velocity measurements: trends in the periodic table
  34. Bulk and surface properties of liquid Ga–Tl and Zn–Cd alloys
  35. Structure-induced order – disorder transformation in Cd – Na liquid alloys
  36. An indirect approach to measure glass transition temperature in metallic glasses
  37. Fragility, kinetic stability and phase separations in the undercooled state of bulk glass formers – a case study on metallic model systems
  38. Development of long-period ordered structures during crystallisation of amorphous Mg80Cu10Y10 and Mg83Ni9Y8
  39. Isothermal crystallization behavior of undercooled liquid Pd40Cu30Ni10P20 in terms of crystal growth, overall volume crystallization kinetics and their relation to the viscosity temperature dependence
  40. The magnesium-ytterbium system: A contribution to the thermodynamics of solid alloys
  41. Experimental investigation and thermodynamic modelling of the Mg–Al-rich region of the Mg–Al–Sr System
  42. Thermodynamic properties and phase relations of Zn-rich alloys in the system Pt–Zn
  43. Comparison of thermodynamic data of the ternary Cu–Sn–Zn system, measured with the EMF and with the calorimetric method
  44. Analysis of phase formation in Ni-rich alloys of the Ni–Ta–W system by calorimetry, DTA, SEM, and TEM
  45. Site preference, thermodynamic, and magnetic properties of the ternary Laves phase Ti(Fe1 – xAlx)2 with the crystal structure of the MgZn2-type
  46. Activity measurements on the Al-rich region of the Ni–Al system – A high temperature mass spectrometric study
  47. Metastable phases and nanocrystalline-forming ability (NFA) of melt-quenched Ni-rich (Zr, Hf)–Ni alloys
  48. AApplied
  49. Low temperature deposition with inductively coupled plasma
  50. Notifications/Mitteilungen
  51. Instructions for Authors
  52. Personal/Personelles
  53. Press/Presse
  54. Conferences/Konferenzen
https://doi.org/10.3139/ijmr-2006-0064
Keywords for this article
Alloys; Electronic theory; Entropy; Structure factor; Correlation functions

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Evolution of the mixed-mode character of solid-state phase transformations in metals involving solute partitioning
  4. Liquid–liquid interfacial tension in themonotectic alloy (Al34.5Bi65.5)95Si5 (wt.%)
  5. Influence of Sb additions on surface tension and density of Sn–Sb, Sn–Ag–Sb and Sn–Ag–Cu–Sb alloys: Experiment vs. modeling
  6. Liquid–liquid transition in elemental liquids investigated by sound velocity measurements: trends in the periodic table
  7. Bulk and surface properties of liquid Ga–Tl and Zn–Cd alloys
  8. Structure-induced order – disorder transformation in Cd – Na liquid alloys
  9. An indirect approach to measure glass transition temperature in metallic glasses
  10. Fragility, kinetic stability and phase separations in the undercooled state of bulk glass formers – a case study on metallic model systems
  11. Development of long-period ordered structures during crystallisation of amorphous Mg80Cu10Y10 and Mg83Ni9Y8
  12. Isothermal crystallization behavior of undercooled liquid Pd40Cu30Ni10P20 in terms of crystal growth, overall volume crystallization kinetics and their relation to the viscosity temperature dependence
  13. The magnesium-ytterbium system: A contribution to the thermodynamics of solid alloys
  14. Experimental investigation and thermodynamic modelling of the Mg–Al-rich region of the Mg–Al–Sr System
  15. Thermodynamic properties and phase relations of Zn-rich alloys in the system Pt–Zn
  16. Comparison of thermodynamic data of the ternary Cu–Sn–Zn system, measured with the EMF and with the calorimetric method
  17. Analysis of phase formation in Ni-rich alloys of the Ni–Ta–W system by calorimetry, DTA, SEM, and TEM
  18. Site preference, thermodynamic, and magnetic properties of the ternary Laves phase Ti(Fe1 – xAlx)2 with the crystal structure of the MgZn2-type
  19. Activity measurements on the Al-rich region of the Ni–Al system – A high temperature mass spectrometric study
  20. Metastable phases and nanocrystalline-forming ability (NFA) of melt-quenched Ni-rich (Zr, Hf)–Ni alloys
  21. Low temperature deposition with inductively coupled plasma
  22. Instructions for Authors
  23. Personal/Personelles
  24. Press/Presse
  25. Conferences/Konferenzen
  26. Frontmatter
  27. Editorial
  28. Editorial
  29. BBasic
  30. Evolution of the mixed-mode character of solid-state phase transformations in metals involving solute partitioning
  31. Liquid–liquid interfacial tension in themonotectic alloy (Al34.5Bi65.5)95Si5 (wt.%)
  32. Influence of Sb additions on surface tension and density of Sn–Sb, Sn–Ag–Sb and Sn–Ag–Cu–Sb alloys: Experiment vs. modeling
  33. Liquid–liquid transition in elemental liquids investigated by sound velocity measurements: trends in the periodic table
  34. Bulk and surface properties of liquid Ga–Tl and Zn–Cd alloys
  35. Structure-induced order – disorder transformation in Cd – Na liquid alloys
  36. An indirect approach to measure glass transition temperature in metallic glasses
  37. Fragility, kinetic stability and phase separations in the undercooled state of bulk glass formers – a case study on metallic model systems
  38. Development of long-period ordered structures during crystallisation of amorphous Mg80Cu10Y10 and Mg83Ni9Y8
  39. Isothermal crystallization behavior of undercooled liquid Pd40Cu30Ni10P20 in terms of crystal growth, overall volume crystallization kinetics and their relation to the viscosity temperature dependence
  40. The magnesium-ytterbium system: A contribution to the thermodynamics of solid alloys
  41. Experimental investigation and thermodynamic modelling of the Mg–Al-rich region of the Mg–Al–Sr System
  42. Thermodynamic properties and phase relations of Zn-rich alloys in the system Pt–Zn
  43. Comparison of thermodynamic data of the ternary Cu–Sn–Zn system, measured with the EMF and with the calorimetric method
  44. Analysis of phase formation in Ni-rich alloys of the Ni–Ta–W system by calorimetry, DTA, SEM, and TEM
  45. Site preference, thermodynamic, and magnetic properties of the ternary Laves phase Ti(Fe1 – xAlx)2 with the crystal structure of the MgZn2-type
  46. Activity measurements on the Al-rich region of the Ni–Al system – A high temperature mass spectrometric study
  47. Metastable phases and nanocrystalline-forming ability (NFA) of melt-quenched Ni-rich (Zr, Hf)–Ni alloys
  48. AApplied
  49. Low temperature deposition with inductively coupled plasma
  50. Notifications/Mitteilungen
  51. Instructions for Authors
  52. Personal/Personelles
  53. Press/Presse
  54. Conferences/Konferenzen
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