Polynomial forms of typical interatomic potential functions

DOI10.1007/S10910-004-6903-XzbMath1099.92084OpenAlexW1970211902MaRDI QIDQ2503691

Teik-Cheng Lim

Publication date: 22 September 2006

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-004-6903-x

zbMATH Keywords

Maclaurin seriesinteratomic potentialsbinomial seriespolynomial functionals

Mathematics Subject Classification ID

Chemistry (92E99) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Polynomials, rational functions in real analysis (26C99)

Related Items (4)

Coefficient interrelatedness among polynomial potential functions of diatomic molecules ⋮ On the applicability of mathematical constants and sequences in intermolecular potential energy functions ⋮ Combination of pi and golden ratio in Lennard-Jones-type and Morse-type potential energy functions ⋮ Improved long range relationship between parameters of the Morse and Rydberg potential functions

Cites Work

• Connection among classical interatomic potential functions
• Mathematical connections between bond-stretching potential functions
• Scaling function between the exponential-6 and the generalized Lennard-Jones potential functions
• Exact non-linear relationship between exponential-6 and Lennard-Jones (12-6) potential func\-tions
• A note on mathematical relationships among bond-torsion force fields
• Mathematical relationships between bond-bending force fields
• Relationship between Morse and Murrell-Mottram potentials at long range
• Application of Maclaurin series in relating interatomic potential functions: a review
• A Relationship Between the 2-body Energy of Kaxiras–Pandey and Pearson–Takai–Halicioglu–Tiller Potential Functions

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