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Optimization algorithm for the generation of ONCV pseudopotentials

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Schlipf, Martin, Gygi, François·2015·Computer Physics Communications

Abstract

We present an optimization algorithm to construct pseudopotentials and use it to generate a set of Optimized Norm-Conserving Vanderbilt (ONCV) pseudopotentials for elements up to Z=83 (Bi) (excluding Lanthanides). We introduce a quality function that assesses the agreement of a pseudopotential calculation with all-electron FLAPW results, and the necessary plane-wave energy cutoff. This quality function allows us to use a Nelder–Mead optimization algorithm on a training set of materials to optimize the input parameters of the pseudopotential construction for most of the periodic table. We control the accuracy of the resulting pseudopotentials on a test set of materials independent of the training set. We find that the automatically constructed pseudopotentials (http://www.quantum-simulation.org) provide a good agreement with the all-electron results obtained using the FLEUR code with a plane-wave energy cutoff of approximately 60 Ry.

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Crossref · 10.1016/j.cpc.2015.05.011

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  • All tested PSP libraries are based on the PBE GGA exchange-correlation functional and include norm-conserving, ultrasoft, and projector-augmented wave pseudization approaches.

    “All the tested PSP libraries are based on the generalized gradient approximation (GGA) for the exchangecorrelation functional of Perdew, Burke and Ernzerhof (PBE) [8] and they include the three main pseudization approaches [12]: norm-conserving (NC) [13], ultrasoft (US) [14] and projector-augmented wave (PAW) [15].”

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  1. 26 J. A. Nelder and R. Mead, The Computer Journal 7 , 308 (1965).

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Authors
Schlipf, M., & Gygi, F.
Affiliations
University of California, Davis (US)
Corresponding author
Schlipf, Martin
Venue
Computer Physics Communications
Publisher
Elsevier BV
Published
2015-11
Volume
196
Pages
36-44
ISSN
0010-4655 (ISSN-L)
OpenAlex
W1695703141
Cited by
1,300
References
27
Citations by year
2026: 145 · 2025: 193 · 2024: 158 · 2023: 147 · 2022: 155 · 2021: 141 · 2020: 120 · 2019: 109 · 2018: 80 · 2017: 39 · 2016: 11 · 2015: 2
FWCI
22.33
Type
journal article
Language
en
Open access
Locations
  • Computer Physics Communications (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • Office of Science (DE-AC02-06CH11357)
  • Argonne National Laboratory
  • U.S. Department of Energy (DOE-BES DE-SC0008938)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
  • Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
  • Physical Sciences › Engineering › Mechanical Engineering › Thermodynamic and Structural Properties of Metals and Alloys
Keywords
norm-conserving pseudopotentials, Nelder-Mead algorithm, quality function, FLAPW, FLEUR, periodic table

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