Mathematics (Nov 2021)

Comparison of Molecular Geometry Optimization Methods Based on Molecular Descriptors

  • Donatella Bálint,
  • Lorentz Jäntschi

DOI
https://doi.org/10.3390/math9222855
Journal volume & issue
Vol. 9, no. 22
p. 2855

Abstract

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Various methods (Hartree–Fock methods, semi-empirical methods, Density Functional Theory, Molecular Mechanics) used to optimize a molecule structure feature the same basic approach but differ in the mathematical approximations used. The geometry optimization procedure calculates the energy at an initial geometry of a molecule and then proceeds to search a new geometry with a lower energy. Using the 3D structures collected from the PubChem database, 20 amino acid geometry optimization calculations were performed with several methods. The purpose of the study was to analyze these methods (39) to find the relationship between them and to determine which to use under different circumstances. Cluster analysis and principal component analysis were performed to evaluate the similarities between the different methods. The results after the analysis can classified into three main groups and can be selected accordingly to solve different types of problems.

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