Electrical Conductivity and Metallization of Fluid Hydrogen in the Pressure Range 90-180GPa(0.9-1.8Mbar).

  • Nellis W. J.
    Lawrence Livermore National Laboratory University of California Livermore
  • Weir S. T.
    Lawrence Livermore National Laboratory University of California Livermore
  • Mitchell A. C.
    Lawrence Livermore National Laboratory University of California Livermore

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  • Electrical Conductivity and Metallizati

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Abstract

Conductivity measurements indicate that hydrogen becomes a metallic fluid at 140 GPa, ninefold initial liquid density, and ∼3000 K. Metallization occurs when the electronic energy gap Eg is reduced by pressure to kBT . High pressures and temperatures were obtained by a shock wave reverberating in hydrogen between stiff Al2O3 anvils. Resistivity decreases four orders of magnitude from 93 to 140 GPa and is constant from 140 to 180 GPa. About ∼5% of the H2 molecules are dissociated at metallization . The free-electron Fermi energy is ∼12 ev. The measured conductivities of hydrogen are essentially the same as those of fluid Cs and Rb at 2000 K undergoing the same transition. The transition to the metal occurs at a Mott-scaled density of Dm1/3a*=0. 30, where Dm is the metallization density and a* is the Bohr radius of the molecule. The measured metallic conductivity is in good agreement with (1) the calculated minimum conductivity of a metal, (2) the conductivity of hydrogen calculated with the strong-scattering free-electron model, (3) a preliminary calculation by Louis and Ashcroft using the weak-scattering Ziman model for a molecular liquid metal, and (4) tight-binding molecular dynamics calculations by Lenosky et al.

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