Combination of pi and golden ratio in Lennard-Jones-Type and Morse-type potential energy functions

Abstract

This paper tests the validity of a Lennard-Jones-type and Morse-type potential functions, consisting a combination of pi and golden ratio constants, for describing intermolecular and interatomic interaction energy. The adjustable parameter, n, can be obtained based on experimental data near the minimum well-depth or by parametric conversion from other established potential functions. The remarkably good correlation of the proposed potential functions with experimental data and other potential functions reveal an intriguing property of the relationship between pi and golden ratio within the context of chemistry. © Springer Science+Business Media, LLC 2007.