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Halpern, A. M, “Computational Studies of Chemical Reactions: The HNC–HCN and CH3NC–CH3CN Isomerizations”, J. Chem. Educ., 83, 69-76, January 2006.

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Exploring Potential Energy Surface with Mathematica: An Algorithmic Demonstration of Minimum Energy Path, Stationary Points and Transition State

1Department of Science and Humanities, Mar Baselios College of Engineering and Technology (autonomous), Nalanchira, Trivandrum, Kerala 695015, India

2Department of Chemistry, TKM Arts and Science College, Kollam 691005, India

3Department of Chemistry, Sree Krishna College, Guruvayur, Kerala 680102, India

4Department of Chemistry, Sree Neelakanta Government Sanskrit College, Pattambi, Palakkad, Kerala 679306, India


World Journal of Chemical Education. 2022, Vol. 10 No. 4, 124-130
DOI: 10.12691/wjce-10-4-1
Copyright © 2022 Science and Education Publishing

Cite this paper:
Krishnamohan G. P., Omar H., Sreeja T. D., Roy K. B.. Exploring Potential Energy Surface with Mathematica: An Algorithmic Demonstration of Minimum Energy Path, Stationary Points and Transition State. World Journal of Chemical Education. 2022; 10(4):124-130. doi: 10.12691/wjce-10-4-1.

Correspondence to: Krishnamohan  G. P., Department of Science and Humanities, Mar Baselios College of Engineering and Technology (autonomous), Nalanchira, Trivandrum, Kerala 695015, India. Email: gpkmohan@yahoo.com

Abstract

The reaction profile (energy profile) is a widely used conceptual tool in chemical kinetics to represent the progress of a chemical reaction. Quantitatively, a reaction profile can be viewed as a minimum energy path (MEP) on the potential energy surface (PES), which connects the reactants and products through one or more transition states or intermediates. In this article, we used Mathematica program to demonstrate a generic method for finding reaction profile on a Müller-Brown PES by applying steepest descent algorithm. The properties of the MEP and stationary points were discussed in detail. The general characteristics of the transition state (TS), and imaginary mode were illustrated with a vibrational analysis of hydrogen exchange reaction, H2+H → H+H2.

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