Interpolation of intermolecular potentials using Gaussian processes

Uteva, Elena and Graham, Richard Stuart and Wilkinson, Richard D. and Wheatley, Richard J. (2017) Interpolation of intermolecular potentials using Gaussian processes. Journal of Chemical Physics, 147 . 161706/1-161706/7. ISSN 1089-7690

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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.

Item Type: Article
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.
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Chemistry
University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1063/1.4986489
Related URLs:
Depositing User: Eprints, Support
Date Deposited: 08 Jun 2017 10:36
Last Modified: 05 Jul 2017 10:39
URI: http://eprints.nottingham.ac.uk/id/eprint/43469

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