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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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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