Interpolation of intermolecular potentials using Gaussian processes

Uteva, Elena; Graham, Richard Stuart; Wilkinson, Richard D.; Wheatley, Richard J.

Abstract

A procedure is proposed to produce intermolecular potential energy surfaces from limited data. The procedure involves generation of geometrical configurations using a Latin hypercube design, with a maximin criterion, based on inverse internuclear distances. Gaussian processes are used to interpolate the data, using over-specified inverse molecular distances as covariates, greatly improving the interpolation. Symmetric covariance functions are specified so that the interpolation surface obeys all relevant symmetries, reducing prediction errors. The interpolation scheme can be applied to many important molecular interactions with trivial modifications. Results are presented for three systems involving CO2, a system with a deep energy minimum (HF - HF) and a system with 48 symmetries (CH4 - N2). In each case the procedure accurately predicts an independent test set. Training this method with high-precision ab initio evaluations of the CO2 - CO interaction enables a parameter-free, first-principles prediction of the CO2 - CO cross virial coefficient that agree very well with experiments.

Citation

Uteva, E., Graham, R. S., Wilkinson, R. D., & Wheatley, R. J. (2017). Interpolation of intermolecular potentials using Gaussian processes. Journal of Chemical Physics, 147(16), Article 161706. https://doi.org/10.1063/1.4986489

• Journal Article Type: Article
• Acceptance Date: Jun 5, 2017
• Online Publication Date: Jun 26, 2017
• Publication Date: Oct 28, 2017
• Deposit Date: Jun 8, 2017
• Publicly Available Date: Jun 26, 2017
• Journal: Journal of Chemical Physics
• Print ISSN: 0021-9606
• Electronic ISSN: 1089-7690
• Publisher: American Institute of Physics
• Peer Reviewed: Peer Reviewed
• Volume: 147
• Issue: 16
• Article Number: 161706
• DOI: https://doi.org/10.1063/1.4986489
• Public URL: https://nottingham-repository.worktribe.com/output/868614
• Publisher URL: http://aip.scitation.org/doi/10.1063/1.4986489
• Related Public URLs: http://aip.scitation.org/journal/jcp/
• Additional Information: Interpolation of intermolecular potentials using Gaussian processes, Elena Uteva, Richard S. Graham, Richard D. Wilkinson, and Richard J. Wheatley. Journal of Chemical Physics 147, 161706 (2017); doi:10.1063/1.4986489.