2ND VIRIAL-COEFFICIENTS IN CLOSED FORM FOR A KIHARA (2M-M)-POTENTIAL

In the literature second virial coefficients are calculated by series expansions or by direct numerical integration. For thermodynamic quantities such as thermodynamic functions, analytical expressions are wanted. This paper gives closed formulas for the second virial coefficient for a convex-body Kihara potential of the type U(ρ)= U0[(ρ0/ρ)2 m-2(ρ0/ρ)m], where m can be a rational number n>3. Furthermore, a number of related problems such as dielectric virial coefficients and Buckingham-Pople integrals are reduced to the same Laplace-transformation-type technique. © 1990 Plenum Publishing Corporation.