Eur. Phys. J. Plus (2020) 135: 161
https://doi.org/10.1140/epjp/s13360-020-00168-3

Regular Article

A comprehensive study of the second virial coefficient of low-density ⁸⁴krypton vapor in the temperature range 0.01–700 K

¹ Department of Physics, Faculty of Science, Al-Balqa Applied University, Al-Salt, Jordan
² Applied Physics Department, Tafila Technical University, Tafila, Jordan
³ Department of Computer Science, College of Shari’a and Islamic Studies in Al Ahsaa, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
⁴ Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman, Jordan
⁵ Department of Physics, School of Science, The University of Jordan, Amman, Jordan

^* e-mail: sandouqa@bau.edu.jo
^** e-mail: aymansandouqa@yahoo.com

Received: 23 August 2019
Accepted: 5 November 2019
Published online: 28 January 2020

Abstract

The second virial coefficient B for ⁸⁴krypton (⁸⁴Kr) vapor is evaluated over the broad temperature range 0.01–700 K. The classical expression for B, B _cl, as well as the first quantum correction B _qc and the Beth–Uhlenbeck formula for the quantum coefficient B _q, is used. The deviation from B _cl with decreasing temperature is marked out clearly. It turns out that B is a powerful indicator of the demarcation boundary between the classical and quantum regimes. The dependence of B on the input Kr–Kr potential is examined. In the high-T limit, it is found that B is weakly dependent on the type of potential. At lower T, the behavior of B _q reflects a remarkable degree the intimate details of the respective regions of the interatomic potential itself. The compressibility of the system is examined in both classical and quantum regimes.