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Thermodynamic Properties and Equation of State for Solid and Liquid Silver

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Abstract

High-temperature equations of state (EoS) for solid and liquid silver were constructed using experimental data on the thermodynamic properties, thermal expansion, compressibility, bulk compression modulus and sound velocity, supplemented with the phase diagram data (melting curve). The totality of experimental data was optimized using the temperature-dependent Tait equation over a pressure range of up to ~ 1000 kbar and over a temperature range from 20 K to the melting point for solid silver and to 4400 K for liquid silver. The temperature dependence of thermodynamic and thermophysical parameters for solid silver was described by an extended Einstein model. For liquid silver, the heat capacity was assumed constant over the specified temperature range, and the temperature dependence of density was described by a quadratic relationship. The isothermal bulk modulus and its pressure derivative were estimated by the Tait equation to be 1083.9 kbar, 5.8704 (for solid silver) and 809.84 kbar, 7.7044 (for liquid silver). The obtained values suggest a considerably greater compressibility of the liquid phase. The derived Tait EoS for the solid and liquid phases gives a good fit to the whole set of available experimental data within the measurement error of individual parameters.

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Acknowledgements

This study was performed under the auspices of the Ministry of Science and Higher Education of the Russian Federation (Contract No. FUFE-2021-0005 (0308-2021-0005)).

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  1. Laboratory for Physicochemical Fundamentals of Energetic Condensed Systems, Institute for Problems of Chemical and Energetic Technologies, Siberian Branch of the Russian Academy of Sciences (IPCET SB RAS), Biysk, 659322, Altai Krai, Russia

    Nikolay V. Kozyrev

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Kozyrev, N.V. Thermodynamic Properties and Equation of State for Solid and Liquid Silver. Int J Thermophys 44, 143 (2023). https://doi.org/10.1007/s10765-023-03251-w

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