2012
DOI: 10.1063/1.4757149
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Modified Shepard interpolation of gas-surface potential energy surfaces with strict plane group symmetry and translational periodicity

Abstract: A new formulation of modified Shepard interpolation of potential energy surface data for gas-surface reactions has been developed. The approach has been formulated for monoatomic or polyatomic adsorbates interacting with crystalline solid surfaces of any plane group symmetry. The interpolation obeys the two dimensional translational periodicity and plane group symmetry of the solid surface by construction. The interpolation remains continuous and smooth everywhere. The interpolation developed here is suitable … Show more

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Cited by 39 publications
(36 citation statements)
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“…Future work to improve the fit to the DFT data is foreseen and underway. Future improvement will involve inclusion of AIMD trajectory based DFT data in the fit and may implement alternative fitting methods, for example, neural networks [55][56][57] and modified Shepard interpolation [58]. Ultimately, comparisons to experimental scattering data may help refine the PES.…”
Section: Discussionmentioning
confidence: 99%
“…Future work to improve the fit to the DFT data is foreseen and underway. Future improvement will involve inclusion of AIMD trajectory based DFT data in the fit and may implement alternative fitting methods, for example, neural networks [55][56][57] and modified Shepard interpolation [58]. Ultimately, comparisons to experimental scattering data may help refine the PES.…”
Section: Discussionmentioning
confidence: 99%
“…128,188,189 A comparison of detailed scattering results obtained for H 2 + Cu (111) to results obtained using the ''gold standard'' method (the CRP method) shows that the MS method is accurate enough to allow a good description of the results that are very sensitive to the PES used, for instance, rotational excitation and diffraction probabilities. This problem should now be solved thanks to a recent work by Frankcombe et al, 256 which shows how plane group symmetry can be imposed. This problem should now be solved thanks to a recent work by Frankcombe et al, 256 which shows how plane group symmetry can be imposed.…”
Section: Potential Surface Fittingmentioning
confidence: 99%
“…55 Each potential energy surface has p3m1 symmetry. 56 As a consequence, a distinction can be made between second and third layer hollow sites, called HCP and FCC, respectively (see Figure 3). PESs have been calculated for 4 different exchange-correlation functionals: Perdew, Burke, and Ernzerhof (PBE), 57 RPBE, 58 PBE-vdW-DF (denoted hereafter by PBE-vdW), 57,59 and PBEα-vdW-DF.…”
Section: B Electronic Structure Methodsmentioning
confidence: 99%