Skip to main content
Log in

Thermodynamic properties and ordering in PdAl

  • Published:
Metallurgical Transactions Aims and scope Submit manuscript

Abstract

The activity of aluminum in the Pd-Al system was determined by an isopiestic method from 30 to 80 at. pct Al between 1090° and 1490°K. It shows a strong negative deviation from ideality, with a decrease in activity of aluminum of four orders of magnitude around the stoichiometric composition of PdAl. The defect structure in the CsCl-structure PdAl compound has been determined by lattice parameter measurements. Equations were derived relating the degree of intrinsic disorder (α) to the shape of the activity curve. Excellent agreement between the calculated curve and the activity data was obtained for anα = 2.5 × 10−4. The results from this investigation and from previous studies indicate that the degree of intrinsic disorder in the equiatomic transition metal-aluminum compounds is controlled by electronic effects.

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.

Similar content being viewed by others

Abbreviations

α :

degree of intrinsic disorder

N s :

total number of lattice sites

N s /Pd,N s /Al :

number of palladium sites, number of aluminum sites

N Pd Pd,N Al Al :

number of palladium atoms on palladium sites, number of aluminum atoms on aluminum sites

N V /Pd,N V /Al :

number of palladium vacancies, number of aluminum vacancies

N A /Pd,N A /Al :

number of palladium atoms on aluminum sites, number of aluminum atoms on palladium sites

δx Al :

mole fraction deviation from the stoichiometric composition

λAl, λPd :

absolute activity of aluminum, absolute activity of palladium

λ *Al :

absolute activity of aluminum at the stoichiometric composition

a Al :

activity of aluminum

Q 0 :

partition function for the perfectly ordered stoichiometric composition

K Pd,K Al :

terms independent of the number of defects which contain the acoustical, magnetic and electronic contribution to the GPF

T(N) :

arbitrary term of the GPF

E A /Pd,E V /Pd :

energy of formation of a palladium antistructure defect, energy of formation of a palladium vacancy

V Pd,V Al :

vacancies of palladium, vacancies of aluminum

PdPd, AlAl :

palladium on palladium sites, aluminum on aluminum sites

AlPd, PdAl :

aluminum on palladium sites palladium on aluminum sites

References

  1. M. Hansen and K. Anderko:Constitution of Binary Alloys, McGraw-Hill Book Co., New York, 1958.

    Google Scholar 

  2. M. Ettenberg, K. L. Komarek, and E. Miller:Proc. Third Bolton Landing Conf., AIME, Claitor’s Pub. Div., Baton Rouge, 1969.

    Google Scholar 

  3. W. Hume-Rothery :Atomic Theory for Students of Metallurgy, Inst. of Metals, London, 1962.

    Google Scholar 

  4. C. Wagner and W. Schottky:Z. Phys. Chem., 1930, vol. 11, p. 163.

    CAS  Google Scholar 

  5. J. Eldridge and K. L. Komarek:Trans. TMS-AIME, 1964, vol. 236, p. 226.

    Google Scholar 

  6. A. Steiner and K. L. Komarek:Trans. TMS-AIME, 1964, vol. 230, p. 786.

    CAS  Google Scholar 

  7. W. Johnson, E. Miller, and K. L. Komarek:Trans. TMS-AIME, 1968, vol. 242, p. 1685.

    CAS  Google Scholar 

  8. M. Ettenberg, K. L. Komarek, and E. Miller:Trans. TMS-AIME, 1968, vol. 242, p. 1801.

    Google Scholar 

  9. L. A. Panteleimonov, A. Yu. Khanna, and I. G. Sokolova:Russ. J. Inorg. Chem., 1964, vol. 9, p. 1480.

    Google Scholar 

  10. F. A. Shunk:Constitution of Binary Alloy, Second Suppl., McGraw-Hill Book Co., New York, 1969.

    Google Scholar 

  11. Y. P. Simanov:Zhur. Fiz. Khim., 1953, vol. 27, p. 1503.

    CAS  Google Scholar 

  12. P. Esslinger and K. Schubert:Z. Metallk., 1957, vol. 48, p. 126.

    CAS  Google Scholar 

  13. R. Ferro, M. Mattace-Raso, and G. Rambaldi:AttiAccad. Nazi. Lincei, Rend. Classe Sci. Fis. Mat. Nat, 1964, vol. 36, p. 498.

    Google Scholar 

  14. R. Ferro and R. Capelli:AttiAccad. Nazi. Lincei, Rend. Classe Sci Fis. Mat. Nat, 1963, vol. 34, p. 659.

    CAS  Google Scholar 

  15. W. F. Roeser and S. T. Lonberger:Nat. Bur. Std. (U. S.), Cire. no. 590, 1956.

  16. A. I. Vogel:A Textbook of Quantitative Inorganic Analysis, 3rd ed., John Wiley & Sons, New York, 1961.

    Google Scholar 

  17. O. Kubaschewski and E. L. Evans:Metallurgical Thermochemistry, 3rd ed., Pergamon Press, London, 1958.

    Google Scholar 

  18. J. F. Elliot and M. Gleiser:Thermochemistry For Steelmaking, vol. 1, Addison Wesley, New York, 1960.

    Google Scholar 

  19. R. J. Wasilewski:J. Phys. Chem. Solids, 1968, vol. 29, p. 39.

    Article  CAS  Google Scholar 

  20. Y. Yamaguchi, D. A. Kiewit, T. Aoki, and J. O. Brittain:J. Appl. Phys., 1968, vol. 39, p. 231.

    Article  CAS  Google Scholar 

  21. G. W. West:Phil. Mag., 1964, vol. 102, p. 979.

    Article  Google Scholar 

  22. K. Miyatani and S. Iida:J. Phys. Soc. Japan, 1968, vol. 25, p. 1008.

    Article  CAS  Google Scholar 

  23. A. Ball:Phil. Mag., 1969, vol. 20, p. 113.

    Article  CAS  Google Scholar 

  24. O. Kubaschewski and G. Heymer:Trans. Farad. Soc, 1960, vol. 56, p. 473.

    Article  CAS  Google Scholar 

  25. A. U.Seybolt:J. Electrochem. Soc, 1964, vol. Ill,p. 697.

    Article  Google Scholar 

  26. H. Jacobi: Max-Planck-Institut, Stuttgart, Germany, to be published,Z. Metallkunde.

  27. J. Terpilowski and W. Trzebiatowski:Archiwum Hutnictwa, 1958, vol. 3, p. 97.

    Google Scholar 

  28. O. Kubaschewski:Thermodynamic Properties of Magnesium Alloys, DCS Report 2, National Physical Laboratory, Teddington, England, Nov. 1968.

    Google Scholar 

  29. J. P. Pemsler: Kennecott Copper Corporation, Lexington, Mass., private communication.

  30. R. W. Carpenter, R. L. Orr, and R. Hultgren:Trans. TMS-AIME, 1967, vol. 239, p. 107.

    CAS  Google Scholar 

  31. P. M. Robinson and M. Bever:Intermetallic Compound, J. H. Westbrook, ed., p. 50, J. Wiley & Sons, New York, 1967.

    Google Scholar 

  32. H. Jones:Proc. Roy. Soc, 1937, vol. 49, p. 250.

    Article  CAS  Google Scholar 

  33. M. J. Cooper:Phil. Mag., 1963, vol. 89, p. 805.

    Article  Google Scholar 

  34. K. Schubert, H. L. Lukas, H.-G. Meissner, and S. Bhan:Z. Metallkde, 1959, vol. 50, p. 534.

    CAS  Google Scholar 

  35. W. Mahler: Dipl. Eng. Thesis, Techn. Univ. Stuttgart; quoted by K. Schubertet al. in Ref. 34, 1950.

  36. R. J. Wasilewski, S. R. Butler, and J. E. Hanlon:J. Appl. Phys., 1968, vol. 39, p. 4234.

    Article  CAS  Google Scholar 

  37. A. U. Seybolt and J. H. Westbrook:Acta Met, 1964, vol. 12, p. 449.

    Article  CAS  Google Scholar 

  38. I.R. Harris, M. Norman, and A. W. Bryant:J. Less-Common Metals, 1968, vol. 16, p. 427.

    Article  CAS  Google Scholar 

  39. A. J. Bradley and A. H. Jay.J. Iron Steellnst, 1932, vol. 125, p. 339.

    Google Scholar 

  40. H. Lipson and A. Taylor:Proc. Roy. Soc, 1939, vol. A173, p. 232.

    CAS  Google Scholar 

  41. H. Jacobi and R. Stahl:Naturwiss., 1968, vol. 55, p. 272.

    Article  CAS  Google Scholar 

  42. H. Jacobi and R. Stahl:Z. Metallkde, 1969, vol. 60, p. 106.

    CAS  Google Scholar 

  43. H. Jacobi, B. Vassos, and H.-J. Engell:J. Phys. Chem. Solids, 1969, vol. 30, p. 1261.

    Article  CAS  Google Scholar 

  44. W. Hume-Rothery:The Structures of Alloys of Iron, Pergamon Press, London, 1966.

    Google Scholar 

  45. S. R. Butler, J. E. Hanlon, and R. J. Wasilewski:J. Phys. Chem. Solids, 1969, vol. 30, p. 1929.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Formely Department of Metallurgy and Materials Sciences, New York University, New York, N. Y.

Formerly Department of Metallurgy and Materials Sciences, New York University

Formerly Department of Metallurgy and Materials Sciences, New York University

This paper is based on a Thesis submitted by M. ETTENBERG to the Graduate Division, School of Engineering and Science, New York University, in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Materials Science.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ettenberg, M., Komarek, K.L. & Miller, E. Thermodynamic properties and ordering in PdAl. Metall Trans 2, 1173–1181 (1971). https://doi.org/10.1007/BF02664249

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02664249

Keywords

Navigation