Equation of State for Bismuth at High Energy Densities

Author:

Khishchenko Konstantin1234ORCID

Affiliation:

1. Joint Institute for High Temperatures of the Russian Academy of Sciences, Izhorskaya 13 Bldg 2, 125412 Moscow, Russia

2. Landau Phystech School of Physics and Research, Moscow Institute of Physics and Technology, Institutskiy Pereulok 9, 141701 Dolgoprudny, Moscow Region, Russia

3. Department of Computational Mechanics, South Ural State University, Prospekt Lenina 76, 454080 Chelyabinsk, Russia

4. Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry of the Russian Academy of Sciences, Prospekt Akademika Semenova 1, 142432 Chernogolovka, Moscow Region, Russia

Abstract

The purpose of this work is to describe the thermodynamic properties of bismuth in a broad scope of mechanical and thermal effects. A model of the equation of state in a closed form of the functional relationship between pressure, specific volume, and specific internal energy is developed. A new expression is proposed for the internal energy of a zero-temperature isotherm in a wide range of compression ratios, which has asymptotics to the Thomas–Fermi model with corrections. Based on the new model, an equation of state for bismuth in the region of body-centered cubic solid and liquid phases is constructed. The results of calculating the thermodynamic characteristics of these condensed phases with the new EOS are compared with the available experimental data for this metal in waves of shock compression and isentropic expansion. The parameters of shock waves in air obtained earlier by unloading shock-compressed bismuth samples are reconsidered. The newly developed equation of state can be used in modeling various processes in this material at high energy densities.

Funder

Ministry of Science and Higher Education of the Russian Federation

Publisher

MDPI AG

Subject

Energy (miscellaneous),Energy Engineering and Power Technology,Renewable Energy, Sustainability and the Environment,Electrical and Electronic Engineering,Control and Optimization,Engineering (miscellaneous),Building and Construction

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