Isothermal Compression of V, Nb, and Ta to 100 Kbar: Correlation with Ultrasonic, Shock Wave, and other Static Data

  • L. C. Ming
  • M. H. Manghnani


The transition metals in group VB (V, Nb, and Ta) have bcc structure and easily form bcc alloys with hcp metals in group IVB, and with bcc metals in group VIB. The bcc structure of the VB metals is stable to melting temperatures and is considered to be stable under pressures of the order of several megabars, as no phase transformation has yet been found at these pressures. Their pressurevolume (P-V) relationships have been investigated by three different means: (1) by direct static, isothermal compression measurements up to 30 kbar [1–3] and up to 45 kbar [4,5]; (2) by use of an equation of State utilizing the ultrasonically measured values of bulk modulus (Ko) and its pressure derivative (Ko′) [6–9]; and (3) by reduction of the shock wave Hugoniot data to isothermal P-V relationships based on certain thermodynamic considerations [10,11].


Molar Volume Bulk Modulus Isothermal Compression Reliable Equation Ruby Crystal 
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  1. 1.
    P.W. Bridgman, Proc. Am. Acad. Arts Sei. 77, 189 (1949).CrossRefGoogle Scholar
  2. 2.
    P.W. Bridgman, Proc. Am. Acad, Arts Sei. 62, 207 (1927).CrossRefGoogle Scholar
  3. 3.
    P.W. Bridgman, Proc. Am. Acad. Arts Sei. 70, 285 (1935).CrossRefGoogle Scholar
  4. 4.
    S.N. Vaidya and G.C. Kennedy, J. Phys. Chem. Solids 31, 2329 (1970).CrossRefGoogle Scholar
  5. 5.
    S. N. Vaidya and G. C. Kennedy, J. Phys. Chem. Solids 33., 1377 (1972).Google Scholar
  6. 6.
    L. J. Graham, H. Nadler, and R. Chang, J. Appl. Phys. 39, 3025 (1968).CrossRefGoogle Scholar
  7. 7.
    R. A. Chechille, Office of Naval Research Technical Report No. 10, Contract Nonr-1141 (05), Project NR 017–309, Case Institute of Technology (unpublished) (1967).Google Scholar
  8. 8.
    K. W. Katahara, M. H. Manghnani, and E. S. Fisher, J. Appl. Phys. 47, 434 (1976).CrossRefGoogle Scholar
  9. 9.
    K. W. Katahara, Ph.D. Dissertation, University of Hawaii, Honolulu, Hawaii (1977).Google Scholar
  10. 10.
    R. G. McQueen, S. P. Marsh, J. W. Taylor, J. N. Fritz, and W. J. Carter in High-Velocity Impact Phenomena, R. Kinslow, ed., Academic Press, New York (1970).Google Scholar
  11. 11.
    L. Altshuler, A. Bakanova, and L. Dudoladov, Sov. Phys.-JET 26 (6), 1115 (1968).Google Scholar
  12. 12.
    H. K. Mao, T. Takahashi, and W. A. Bassett, Phys. Earth Planet. Interiors 3, 51 (1970).Google Scholar
  13. 13.
    L. G. Liu, T. Takahashi, and W. A. Bassett, J. Phys. Chem. Solids 31, 1345 (1970).CrossRefGoogle Scholar
  14. 14.
    L. G. Liu and W. A. Bassett, J. Appl. Phys. 44, 1475 (1973).CrossRefGoogle Scholar
  15. 15.
    D. R. Wilburn, M.S. Thesis, University of Rochester, Rochester, New York (1976).Google Scholar
  16. 16.
    D. R. Wilburn and W. A. Bassett, E.O.S. Trans. Am. Geophys. Union 58, 518 (1977).Google Scholar
  17. 17.
    G. J. Piermarini, S. Block, and J. D. Barnett, J. Appl. Phys. 44, 5377 (1973).CrossRefGoogle Scholar
  18. 18.
    G. J. Piermarini, S. Block, J. D. Barnett, and R. A. Forman, J. Appl. Phys. 46, 2774 (1975).CrossRefGoogle Scholar
  19. 19.
    L. C. Ming and M. H. Manghnani, J. Appl. Phys. 49 (1), 208, 1978.CrossRefGoogle Scholar
  20. 20.
    W. A. Bassett, T. Takahashi, and P. W. Stock, Rev. Sei. Instrum. 38, 37 (1967).CrossRefGoogle Scholar
  21. 21.
    J. S. Weaver, T. Takahashi, and W. A. Bassett, in Accurate Characterization of the High Pressure Environment, Spec. Publ. 326, E. C. Lloyd, ed., National Bureau of Standards, Gaithersburg, Maryland (1971).Google Scholar
  22. 22.
    H. W. Mao, T. Takahashi, W. A. Bassett, and J. S. Weaver, J. Geophys. Res. 74, 1061 (1969).CrossRefGoogle Scholar
  23. 23.
    E. S. Fisher, M. H. Manghnani, and K. W. Katahara, Proceedings of 4th Intern. Conference on High Pressure, Kyoto, Japan (1974), p. 393.Google Scholar
  24. 24.
    L. Anderson, in The Nature of the Solid Earth, E. C. Robertson, ed., McGraw-Hill Book Company (1972), p. 575.Google Scholar
  25. 25.
    C. Kittel, Introduction to Solid State Physics, 3rd edition, John Wiley and Sons, New York (1968).Google Scholar

Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • L. C. Ming
    • 1
  • M. H. Manghnani
    • 1
  1. 1.University of HawaiiHonoluluUSA

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