Second virial coefficients in closed form for a Kihara (2m-m)-potential

Measurements of the (p, ρ,T) properties and virial coefficients of pure water, methane,n-hexane,n-octane, benzene, and of their aqueous mixtures in the supercritical region

“…The M 0 , S 0 and V 0 can be calculated from the size and shape of the core (29,31,33) (see table 8). The functions F 1 , F 2 , and F 3 depend only on the reduced temperature T* = T/(o/k) and are given by, (29,33) In these calculations, the F s series was terminated when the last term became less than 10 −4 (15 terms for T* = 3.5).…”

Second virial coefficient of a generalized Lennard-Jones potential

“…The model is known as the approximated non-conformal (ANC) potential, 30 which allows to set the smoothness of its attractive and/or repulsive contributions. In fact, the integrals occurring for the ANC SVC are the same that appear for the a) Electronic mail: jagc@ier.unam.mx Kihara SVC,31 and can be considered as a generalization of this integral found in the LJ case. However, note that in this work we are dealing with a spherically symmetric potential, which by varying its smoothness and depth yields several known models, i.e., LJ, HS, and sticky hard spheres (SHS).…”

Unified Analytical Formulae of Second Virial Coefficient with Kihara Potential and its Application to Real Gases

“…The results show that the obtained expression is general and valid for arbitrary values of parameters. The calculated results are compared with the corresponding experimental and other theoretical values [20,22,30]. The accuracy of analytical method is satisfactory and can be suggested for evaluation of thermodynamic properties of gases by using second virial coefficient.…”

“…At Boyle temperature, the gases appear to behave ideally. For evaluation of the second virial coefficient, we use the Kihara potential for molecules with spherical cores of the following form [22]:…”

“…Kihara potential is defined of the interaction between two more complex molecules and found wide applications because it is superior to Lennard-Jones (12-6) potential for determination of virial coefficients, thermodynamic and transport properties [18][19][20]. There are also some restricted studies on the analytical evaluation of second virial coefficient with Kihara potential [20][21][22]. In spite of many studies, the applications of the second virial coefficient for various types of the intermolecular interaction are still one of the main actual problems in physics and biophysical chemistry [23][24][25].…”