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Title: Combination of pi and golden ratio in Lennard-Jones-Type and Morse-type potential energy functions
Authors: Lim, T.-C. 
Keywords: Golden ratio
Mathematical constants
Potential function
Issue Date: Jul-2007
Citation: Lim, T.-C. (2007-07). Combination of pi and golden ratio in Lennard-Jones-Type and Morse-type potential energy functions. Journal of Mathematical Chemistry 42 (1) : 93-101. ScholarBank@NUS Repository.
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.
Source Title: Journal of Mathematical Chemistry
ISSN: 02599791
DOI: 10.1007/s10910-006-9101-1
Appears in Collections:Staff Publications

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