Combination of pi and Golden Ratio in Lennard–Jones-Type and Morse-Type Potential Energy Functions |
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Authors: | Teik-Cheng Lim |
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Institution: | (1) Faculty of Engineering, Nanoscience and Nanotechnology Initiative, National University of Singapore, 9 Engineering Drive 1, S 117576 Singapore, Republic of Singapore |
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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. |
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Keywords: | Golden ratio Lennard– Jones Morse pi potential function mathematical constants |
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