Study of specific heat capacities and speed of sound for uranium and uranium fluoride gases

Elif Somuncu; Bahtiyar A. Mamedov

doi:10.1140/epjp/s13360-020-00978-5

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2024 Impact factor 2.9

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2021) 136: 21
https://doi.org/10.1140/epjp/s13360-020-00978-5

Regular Article

Study of specific heat capacities and speed of sound for uranium and uranium fluoride gases

Elif Somuncu¹^a and Bahtiyar A. Mamedov²

¹ Department of Physics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey
² Department of Physics, Faculty of Arts and Sciences, Gaziosmanpaşa University, Tokat, Turkey

^a elf_smnc@hotmail.com

Received: 22 September 2020
Accepted: 29 November 2020
Published online: 3 January 2021

Abstract

A new approach is proposed for accurate estimation of thermodynamic properties of nuclear fuels. The method is based on the use of virial coefficients with Lennard-Jones (12-6) potential. The model is applicable to the calculations of thermodynamic quantities of nuclear gases. In this work, we derived new formulae for the calculation of the specific heat capacities and speed of sound of nuclear gases by using the second virial coefficient with Lennard-Jones (12-6) potential. The final results are expressed through the gamma and parabolic cylinder functions that is a better approach to the accurate evaluation of the second virial coefficient. The new approach has been applied to the accurate evaluation of the specific heat capacities and speed of sound for uranium and uranium fluoride gases of $U$ ${\text{U}}$ , $UF$ ${\text{UF}}$ , ${UF}_{2}$ ${\text{UF}}_{2}$ , ${UF}_{3}$ ${\text{UF}}_{3}$ , ${UF}_{4}$ ${\text{UF}}_{4}$ , ${UF}_{5}$ ${\text{UF}}_{5}$ and ${UF}_{6}$ ${\text{UF}}_{6}$ whose importance in nuclear technology is well known. All the results for nuclear gases $U$ ${\text{U}}$ , $UF$ ${\text{UF}}$ , ${UF}_{2}$ ${\text{UF}}_{2}$ , ${UF}_{3}$ ${\text{UF}}_{3}$ , ${UF}_{4}$ ${\text{UF}}_{4}$ , ${UF}_{5}$ ${\text{UF}}_{5}$ and ${UF}_{6}$ ${\text{UF}}_{6}$ are controlled by the calculations in the literature, and their accuracy is confirmed.