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Title: Equations of State and the Phase Diagram of Dielectric and Metallic Helium-4

Abstract

A new form of the semiempirical equation of state for the liquid phase of helium-4 is proposed that is based on the assumption that the structure of this phase consists of a mixture of dielectric and metallic components. It is postulated that solid dielectric helium with density higher than 5.3 g/cm{sup 3} becomes a metal. The values of the parameters of the equations of state for both solid phases and the liquid phase of helium are calculated. The unknown values of the initial data for helium are taken by analogy with the parameters for deuterium. The phase diagram, shock adiabat, isentropes, isotherms, and electrical conductivity in these processes are calculated with the use of the equations of state of solid and liquid phases of helium-4. The results of calculation are compared with experimental data in the range of pressures of up to 35 GPa for an isotherm, up to 150 GPa for a shock adiabat, up to 42 GPa for the melting curve, and up to 2000 GPa for isentropes, and showed quite satisfactory agreement. Numerical extrapolation of the melting curve is performed to a range of ultrahigh pressures of up to 8000 GPa.

Authors:
 [1]
  1. All-Russian Scientific Research Institute of Experimental Physics, Russian Federal Nuclear Center (Russian Federation)
Publication Date:
OSTI Identifier:
22749786
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 127; Journal Issue: 1; Other Information: Copyright (c) 2018 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIELECTRIC MATERIALS; ELECTRIC CONDUCTIVITY; EQUATIONS OF STATE; HELIUM 4; LIQUIDS; PHASE DIAGRAMS; PRESSURE RANGE GIGA PA

Citation Formats

Urlin, V. D., E-mail: urlin@vniief.ru. Equations of State and the Phase Diagram of Dielectric and Metallic Helium-4. United States: N. p., 2018. Web. doi:10.1134/S1063776118070130.
Urlin, V. D., E-mail: urlin@vniief.ru. Equations of State and the Phase Diagram of Dielectric and Metallic Helium-4. United States. doi:10.1134/S1063776118070130.
Urlin, V. D., E-mail: urlin@vniief.ru. Sun . "Equations of State and the Phase Diagram of Dielectric and Metallic Helium-4". United States. doi:10.1134/S1063776118070130.
@article{osti_22749786,
title = {Equations of State and the Phase Diagram of Dielectric and Metallic Helium-4},
author = {Urlin, V. D., E-mail: urlin@vniief.ru},
abstractNote = {A new form of the semiempirical equation of state for the liquid phase of helium-4 is proposed that is based on the assumption that the structure of this phase consists of a mixture of dielectric and metallic components. It is postulated that solid dielectric helium with density higher than 5.3 g/cm{sup 3} becomes a metal. The values of the parameters of the equations of state for both solid phases and the liquid phase of helium are calculated. The unknown values of the initial data for helium are taken by analogy with the parameters for deuterium. The phase diagram, shock adiabat, isentropes, isotherms, and electrical conductivity in these processes are calculated with the use of the equations of state of solid and liquid phases of helium-4. The results of calculation are compared with experimental data in the range of pressures of up to 35 GPa for an isotherm, up to 150 GPa for a shock adiabat, up to 42 GPa for the melting curve, and up to 2000 GPa for isentropes, and showed quite satisfactory agreement. Numerical extrapolation of the melting curve is performed to a range of ultrahigh pressures of up to 8000 GPa.},
doi = {10.1134/S1063776118070130},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 1,
volume = 127,
place = {United States},
year = {2018},
month = {7}
}