Interpolation of intermolecular potentials using Gaussian processes.

The Journal of chemical physics

PubMedID: 29096507

Uteva E, Graham RS, Wilkinson RD, Wheatley RJ. Interpolation of intermolecular potentials using Gaussian processes. J Chem Phys. 2017;147(16):161706.
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 agrees very well with experiments.