Benchmarking of Density Functional Theories for Combustion Reactions in Alkanes by Evaluating Thermodynamic Properties

28 January 2025, Version 2
This content is a preprint and has not undergone peer review at the time of posting.

Abstract

Computational calculations are playing vital role in this era of artificial intelligence and machine learning which is capable to lessen the burden of experimental expenses. Inevitably, to benchmark different theoretical methods is essential to produce accurate results while keeping in mind the computational cost. In this study, different functionals of Density Functional Theory (DFT) with 2 different basis sets were benchmarked to compute thermodynamic properties, enthalpy, Gibbs free energy, and entropy, of alkane combustion reactions. Results indicate a linear relationship between the number of carbon atoms and reaction parameters, with deviations arising from method-dependent approximations. LSDA and dispersion-corrected methods demonstrated closer agreement with experimental values with correlation-consistent basis set, while higher-rung functionals like PBE and TPSS exhibited significant errors with split-valence basis set, especially for larger chain lengths. Notably, convergence issues were observed for n-hexane with PBE and TPSS, attributed to near-degenerate states and SCF instability. These findings highlight the importance of functional choice along with the basis set to define the orbitals to accurately predict thermodynamic properties.

Keywords

benchmark DFT
alkane combustion
Jacob's Ladder

Supplementary materials

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Title
Benchmarking of Density Functional Theories for Combustion Reactions in Alkanes by Evaluating Thermodynamic Properties
Description
This supplementary data file presents thermochemical analysis of alkane combustion reactions, calculated using various density functional theory (DFT) methods and basis sets. The data includes reaction enthalpies, Gibbs free energy changes, and entropies for alkanes with 1 to 10 carbon atoms. Results are reported for six functionals (LSDA, PBEPBE, TPSSh, B3LYP, B2PLYP, and B2PLYPD3) with the 6-31G(d) and cc-pVDZ basis sets. Differences in computed thermodynamic properties highlight the impact of functional and basis set selection. Additionally, a scale factor for reaction enthalpy is provided to adjust theoretical predictions for experimental comparisons. Figure S1 visualizes these scale factors for each DFT method. The dataset is complemented by Python scripts available on GitHub, offering tools to reproduce and analyze these calculations, accessible at https://github.com/kfatema10/alkane_combustion. This resource is valuable for benchmarking DFT methods and exploring thermodynamic trends in alkane combustion.
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