Isothermal Compression of V, Nb, and Ta to 100 Kbar: Correlation with Ultrasonic, Shock Wave, and other Static Data
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].
KeywordsMolar Volume Bulk Modulus Isothermal Compression Reliable Equation Ruby Crystal
Unable to display preview. Download preview PDF.
- 5.S. N. Vaidya and G. C. Kennedy, J. Phys. Chem. Solids 33., 1377 (1972).Google Scholar
- 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of Naval Research Technical Report No. 10, Contract Nonr-1141 (05), Project NR 017–309, Case Institute of Technology (unpublished) (1967).Google Scholar
- 9.K. W. Katahara, Ph.D. Dissertation, University of Hawaii, Honolulu, Hawaii (1977).Google Scholar
- 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.L. Altshuler, A. Bakanova, and L. Dudoladov, Sov. Phys.-JET 26 (6), 1115 (1968).Google Scholar
- 12.H. K. Mao, T. Takahashi, and W. A. Bassett, Phys. Earth Planet. Interiors 3, 51 (1970).Google Scholar
- 15.D. R. Wilburn, M.S. Thesis, University of Rochester, Rochester, New York (1976).Google Scholar
- 16.D. R. Wilburn and W. A. Bassett, E.O.S. Trans. Am. Geophys. Union 58, 518 (1977).Google Scholar
- 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
- 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.L. Anderson, in The Nature of the Solid Earth, E. C. Robertson, ed., McGraw-Hill Book Company (1972), p. 575.Google Scholar
- 25.C. Kittel, Introduction to Solid State Physics, 3rd edition, John Wiley and Sons, New York (1968).Google Scholar