articlePhysical Chemistry Chemical PhysicsDec 18, 2013GREEN OA

ωB97X-V: A 10-parameter, range-separated hybrid, generalized gradient approximation density functional with nonlocal correlation, designed by a survival-of-the-fittest strategy

Lawrence Berkeley National Laboratory · University of California, Berkeley

PubMed
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Abstract

A 10-parameter, range-separated hybrid (RSH), generalized gradient approximation (GGA) density functional with nonlocal correlation (VV10) is presented. Instead of truncating the B97-type power series inhomogeneity correction factors (ICF) for the exchange, same-spin correlation, and opposite-spin correlation functionals uniformly, all 16,383 combinations of the linear parameters up to fourth order (m = 4) are considered. These functionals are individually fit to a training set and the resulting parameters are validated on a primary test set in order to identify the 3 optimal ICF expansions. Through this procedure, it is discovered that the functional that performs best on the training and primary test sets…

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Topics & keywords

Keywords
  • Hybrid functional
  • Range (aeronautics)
  • Nonlinear system
  • Mathematics
  • Statistical physics
  • Test set
  • Set (abstract data type)
  • Correlation
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