Three‐Body Quantum Correction to the Free Energy of a Simple Liquid and the Role of Pair and Triplet Potentials in Isotopic Distillation

Autor: R. D. Present, Chimin T. Chen
Rok vydání: 1971
Předmět:
Zdroj: The Journal of Chemical Physics. 55:2391-2394
ISSN: 1089-7690
0021-9606
DOI: 10.1063/1.1676421
Popis: The lowest‐order quantum correction to the partition function and free energy of a simple dense fluid is generalized to take account of many‐body forces. The three‐body quantum correction is calculated using the triple‐dipole potential for the nonadditive interaction, assuming the superposition approximation for the triplet correlation function, and taking the pair correlation functions from x ray and neutron diffraction experiments. In the case of liquid Ar near the triple point, the three‐body correction is small enough to be neglected in connection with isotopic distillation experiments. These experiments provide values for 〈 ∇2U 〉, where U is the total interaction energy of the molecules in the liquid, and the results can be used in conjunction with experimental radial distribution functions to test empirical pair potentials u(r) for the Ar—Ar interaction. Several forms of u(r) are investigated and the Barker—Pompe, Kingston, and (exp‐6) potentials are found to give the best results for 〈 ∇2U〉. The va...
Databáze: OpenAIRE