Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10910-006-9084-y
Title: On the applicability of mathematical constants and sequences in intermolecular potential energy functions
Authors: Lim, T.-C. 
Keywords: Euler constant
Fibonacci sequence
Golden ratio
Intermolecular energy
Lucas sequence
Pi
Potential functions
Issue Date: May-2007
Citation: Lim, T.-C. (2007-05). On the applicability of mathematical constants and sequences in intermolecular potential energy functions. Journal of Mathematical Chemistry 41 (4) : 381-391. ScholarBank@NUS Repository. https://doi.org/10.1007/s10910-006-9084-y
Abstract: Six intermolecular potential energy functions incorporating mathematical functions such as the Golden ratio, Euler number and Pi, and three consecutive numbers in the Half Square, Lucas and Fibonacci sequences are proposed herein. It is shown that the Lucas potential function exhibits reasonable agreement with the Lennard-Jones(12-10) function, whilst the Golden ratio potential function describes the argon gas potential energy and the Lennard-Jones(14-7) function excellently. Both the Euler and Pi potential functions agree well with the Lennard-Jones(12-6) function, whilst the Fibonacci potential function exhibits very good correlation with the Lennard-Jones(9-6) function. The relatedness of the mathematical constants and sequences examined in this paper with application to intermolecular potential functions suggests their additional significance in the field of chemistry. © Springer Science+Business Media, LLC 2007.
Source Title: Journal of Mathematical Chemistry
URI: http://scholarbank.nus.edu.sg/handle/10635/112624
ISSN: 02599791
DOI: 10.1007/s10910-006-9084-y
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