Metallurgical Transactions

, Volume 5, Issue 6, pp 1341–1343 | Cite as

A simple relationship between the temperature dependence of the density of liquid metals and their boiling temperatures

  • D. J. Steinberg
Physical Chemistry


For elemental metals, other than those in Groups VIII and IIB, there exists a simple rela-tionship between the temperature dependence of the liquid density, Λ [=(δD/δT)p], and the boiling temperature,T B . It is shown that the fractional change in density between 0 K andT B appears to be constant;i .e ., AT B /d00 =-0.23. D00 is a scale factor defined by Doo =D M - ΛTm, whereD m is the density of the liquid at the absolute melting temperature, TM. This relationship has been used to estimate A for eight high melting point elements for which no experimental data exist.


Metallurgical Transaction Volume Liquid Density Boiling Temperature Fractional Change Group VIII 
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  1. 1.
    K. Gschneidner:Physical Properties and Interrelationships of Metallic and Semimetallic Elements, from Solid State Physics, vol. 16, p. 275, F. Seitz and D. Turnbull, eds., Academic Press, New York, 1964.Google Scholar
  2. 2.
    L. -D. Lucas:Mem. Sci. Rev. Met., 1972, vol. 69, p. 395.Google Scholar
  3. 3.
    W. Coy and R. Mateer:Trans. ASM, 1965, vol. 58, p. 99.Google Scholar
  4. 4.
    E. S. Levin, G. D. Ayushina, and P. V. Gel'd:High Temp., 1968, vol. 6, p. 416.Google Scholar
  5. 5.
    R. Wilson:High Temp. Sci., 1969, vol. 1, p. 367.Google Scholar
  6. 6.
    L. -D. Lucas: “Liquid Density Measurements,” fromTechniques of Metals Research IV (2), R. A. Rapp, ed., p. 219, Interscience Publishers, New York, 1970.Google Scholar
  7. 7.
    S. P. Yatsenko, V. I. Kononeko, and A. L. Sukhman:High Temp., 1972, vol. 10, p. 55.Google Scholar
  8. 8.
    P. McGonigal:J. Phys. Chem., 1962, vol. 66, p. 1686.CrossRefGoogle Scholar
  9. 9.
    J. Bohdansky and H. Schins:J. Inorg. Nucl. Chem., 1968, vol. 30, p. 2331.CrossRefGoogle Scholar
  10. 10.
    L. Martin-Garin, P. Bedon, and P. Desré:J. Chem. Phys., 1973, vol. 70, p. 112.Google Scholar
  11. 11.
    H. Greenaway:J. Inst. Metals, 1947, vol. 74, p. 133.Google Scholar
  12. 12.
    S. Saito, Y. Shiraishi, and Y. Sakuma:Trans. Iron and Steel Inst. Japan, 1969, vol. 9, p. 118.Google Scholar
  13. 13.
    E. S. Levin, G. D. Ayushina, and V. K. Zav'yalov:Trans. Polytech. Inst., 1970, vol. 186, p. 92.Google Scholar
  14. 14.
    S. Watanabe:Trans. Jap. Inst. Metals, 1971, vol. 12, p. 17.Google Scholar
  15. 15.
    L. -D. Lucas:Mem. Sä. Rev. Met., 1972, vol. 69, p. 479.Google Scholar
  16. 16.
    E. E. Shpil'rain and K. A. Yakimovich:High Temp., 1967, vol. 5, p. 211.Google Scholar
  17. 17.
    A. V. Grosse:J. Inorg. Nucl. Chem., 1966, vol. 28, p. 1757.CrossRefGoogle Scholar
  18. 18.
    A. S. Basin:Heat Transfer-Soviet Research, 1972, vol. 4, p. 46.Google Scholar
  19. 19.
    W. Hoather:Proc. Phys. Soc, 1936, vol. 48, p. 699.CrossRefGoogle Scholar
  20. 20.
    V. I. Nizhenko, L. I. Sklyarenko, and V. N. Eremenko:Ukr. Khim. Zh., 1965, vol. 31, p. 559.Google Scholar
  21. 21.
    A. S. Basin and A. N. Solov'ev:J Appl. Mech. Tech. Phys., 1967, vol. 8, p. 57.CrossRefGoogle Scholar
  22. 22.
    H. Koster, F. Hensel, and E. Franck:Ber. Buns. Ges. Phys. Chem., 1970, vol. 74, p. 43.Google Scholar
  23. 23.
    W. Klemm,et al.: Monatshefte Chemie, 1952, vol. 83, p. 42.Google Scholar
  24. 24.
    B. Predel and A. Emam:J. Less Common Metals, 1969, vol. 18, p. 385.CrossRefGoogle Scholar
  25. 25.
    P. -E. Berthou and R. Tougas:Met. Trans., 1970, vol. 1, p. 2978.Google Scholar
  26. 26.
    I. Dillon, P. Nelson, and B. Swanson:J. Chem. Phys., 1966, vol. 44, p. 4229.CrossRefGoogle Scholar
  27. 27.
    E. I. Gol'tsova:High Temp., 1966, vol. 3, p. 438.Google Scholar
  28. 28.
    J.P. Stone,et al:J. Chem. and Eng. Data, 1966, vol. 11,p. 321.Google Scholar
  29. 29.
    E. S. Levin, V. K. Zav'yalov, and G. D. Ayushina:Trans. Polytech. Inst, 1970, vol. 186, p. 98.Google Scholar
  30. 30.
    W. Z. Wade and T. Wolf:Coefficients of Expansion of Molten Pu and Pu-1 w/o Ga Alloy, from LLL Quarterly work statement for period, April-June 1971 (June 30, 1971), unclassified.Google Scholar
  31. 31.
    W. Klemm, H. Spitzer, and H. Nierman:Angew. Chem., 1960, vol. 72, p. 985.Google Scholar
  32. 32.
    A. Kirshenbaum and J. Cahill:Trans., ASM, 1962, vol. 55, p. 849.Google Scholar
  33. 33.
    A. Crawley and D. Kiff:Met. Trans., 1972, vol. 3, p. 157.Google Scholar
  34. 34.
    A. Keskar and S. Hruska:Met. Trans., 1970, vol. 1, p. 2357.Google Scholar
  35. 35.
    A. Crawley:Trans. TMS-AIME, 1968, vol. 242, p. 2309.Google Scholar
  36. 36.
    J. Martinez and H. Wall:Met. Trans., 1973, vol. 4, p. 1419.Google Scholar
  37. 37.
    Amer. Instit. of Phys. Handbook, D. Gray, ed., 3rd ed., McGraw-Hill Book Co., New York, 1972.Google Scholar
  38. 38.
    A. Krishenbaum and J. Cahill:Trans. ASM, 1962, vol. 55, p. 844.Google Scholar
  39. 39.
    A. V. Grosse and A. Kirshenbaum:J. Inorg. Nucl. Chem., 1963, vol. 25, p. 331.CrossRefGoogle Scholar
  40. 40.
    R. Honig and D. Kramer:RCA Rev., 1969, vol. 30, p. 285.Google Scholar
  41. 41.
    W. Rohr and L. Wittenberg:J. Phys. Chem.. 1970, vol. 74, p. 1151.CrossRefGoogle Scholar
  42. 42.
    M. Guinan and D. Steinberg: “Pressure and Temperature Derivatives of the Isotropie Polycrystalline Shear Modules for 65 Elements”, Lawrence Liver- more Laboratory, Report UCRL-75079, September 14,1973, (Accepted for Publication byJ. Phys. Chem. Solids). Google Scholar
  43. 43.
    A. Crawley:Trans. TMS-AIME, 1968, vol. 242, p. 2237.Google Scholar
  44. 44.
    A. Schneider and G. Heymer:Z. Anorg. Allgem. Chem., 1956, vol. 286, p. 118.CrossRefGoogle Scholar

Copyright information

© American Society for Metals, The Melallurgical Society of AIME 1974

Authors and Affiliations

  • D. J. Steinberg
    • 1
  1. 1.Lawrence Livermore LaboratoryLivermoreCalif.

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