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Topics in Catalysis

, Volume 55, Issue 5–6, pp 402–417 | Cite as

Construction of New Electronic Density Functionals with Error Estimation Through Fitting

  • V. Petzold
  • T. Bligaard
  • K. W. Jacobsen
Original Paper

Abstract

We investigate the possibilities and limitations for the development of new electronic density functionals through large-scale fitting to databases of binding energies obtained experimentally or through high-quality calculations. We show that databases with up to a few hundred entries allow for up to of the order ten parameters to be adjusted in the exchange enhancement factor. The transferability of models between data is analyzed, and it is shown to be difficult to transfer a model trained exclusively on molecular atomization energies to the treatment of chemisorption systems.

Keywords

Density functional theory Exchange-correlation functionals Error estimation Model transferability Sloppy models Chemisorption 

Notes

Acknowledgements

We thank James P. Sethna, Jens K. Nørskov, Karoliina Honkala, Andreas Møgelhøj, Jess Wellendorff, and Keld T. Lundgaard for many inspiring discussions. The authors acknowledge support from the Danish Center for Scientific Computing and the U.S. Department of Energy—Office of Basic Energy Sciences through the funding of SUNCAT. The Center for Atomic-scale Materials Design is sponsored by the Lundbeck Foundation.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Center for Atomistic-scale Materials Design (CAMD), Department of Physics, Building 307, Nano DTUTechnical University of DenmarkLyngbyDenmark
  2. 2.SUNCAT Center for Interface Science and CatalysisSLAC National Accelerator LaboratoryMenlo ParkUSA

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