İkinci Virial Katsayısı ve İkinci Virial Katsayısının Birinci Derece Kuantum Düzeltme İfadelerinin Analitik Olarak İncelenmesi

The virial equation of state is valid over wide range of thermodynamic parameters and practical since it allows using intermolecular interaction potential models via virial coefficients to obtain thermodynamic properties accurately. For this purpose, an analytical formula for the second virial coefficient (SVC) with Morse potential is established and the obtained formula is applied to the SVC calculations of neutral atom gases and plasmas of B,Si,Zn,H_2,N_2,O_2,NO,CO, He,Ne,Ar,Kr, Xe and also for the speed of sound of N_2,Ar and Zn gases and found to provide reliable analytical solutions without any parameter restrictions. The first quantum correction to the SVC is also analytically evaluated with the Morse potential and applied for noble gases of He,Ne,Ar,Kr,Xe and also for CH4, CO_2,N_2 atoms and molecules for low temperatures. To our knowledge, except for some different approximation approaches, this study is the first analytical method for the calculation of the quantum correction to second virial coefficient with Morse potential and valid for all values of parameters. The SVC quantum correction results of Morse potential are compared with the literature especially with Lennard-Jones (12-6) and indicate a good agreement at higher temperatures of the investigated temperature range.