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Z. Naturforsch. 68a, 773 – 776
(2013)
doi:10.5560/ZNA.2013-0062
Takahasi Nearest-Neighbour Gas Revisited III; Lennard-Jones Gases
Department of Molecular Sciences, Faculty of Science, Osaka Prefecture University, Gakuencho 1-1, Nakaku, Sakai, Osaka, 599-8531, Japan
Received May 31, 2013 / revised July 25, 2013 / published online October 16, 2013
Reprint requests to: Prof. A. M.; E-mail:
akibohn@nifty.com
Some thermodynamic quantities for the Lennard-Jones (12,6) potential are expressed as analytical formula at an isobaric process. The parameters of Lennard-Jones gases for 18 substances are obtained by the second virial coefficient data. Also some thermodynamic quantities for benzene are calculated numerically and drawn graphically. The inflexion point of the length L which depends on temperature T and pressure P corresponds physically to a boiling point. L indicates the liquid phase from lower temperature to the inflexion point and the gaseous phase from the inflexion point to higher temperature. The boiling temperatures indicate reasonable values comparing with experimental data. The behaviour of L suggests a chance of a first-order phase transition in one dimension.
Key words: Takahasi Nearest-Neighbour Gas; Lennard-Jones Potential; Boiling Temperature; Equation of State; Enthalpy; First-Order Phase Transition.