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Density functional theory is straying from the path toward the exact functional
by
Bushmarinov, Ivan S.
, Sun, Jianwei
, Lyssenko, Konstantin A.
, Medvedev, Michael G.
, Perdew, John P.
in
Accuracy
/ Density
/ Density distribution
/ Density functional theory
/ Electron density
/ Energy
/ Fittings
/ Functionals
/ Mathematical analysis
/ Theorems
2017
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Density functional theory is straying from the path toward the exact functional
by
Bushmarinov, Ivan S.
, Sun, Jianwei
, Lyssenko, Konstantin A.
, Medvedev, Michael G.
, Perdew, John P.
in
Accuracy
/ Density
/ Density distribution
/ Density functional theory
/ Electron density
/ Energy
/ Fittings
/ Functionals
/ Mathematical analysis
/ Theorems
2017
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Do you wish to request the book?
Density functional theory is straying from the path toward the exact functional
by
Bushmarinov, Ivan S.
, Sun, Jianwei
, Lyssenko, Konstantin A.
, Medvedev, Michael G.
, Perdew, John P.
in
Accuracy
/ Density
/ Density distribution
/ Density functional theory
/ Electron density
/ Energy
/ Fittings
/ Functionals
/ Mathematical analysis
/ Theorems
2017
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Density functional theory is straying from the path toward the exact functional
Journal Article
Density functional theory is straying from the path toward the exact functional
2017
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Overview
The theorems at the core of density functional theory (DFT) state that the energy of a many-electron system in its ground state is fully defined by its electron density distribution. This connection is made via the exact functional for the energy, which minimizes at the exact density. For years, DFT development focused on energies, implicitly assuming that functionals producing better energies become better approximations of the exact functional. We examined the other side of the coin: the energy-minimizing electron densities for atomic species, as produced by 128 historical and modern DFT functionals. We found that these densities became closer to the exact ones, reflecting theoretical advances, until the early 2000s, when this trend was reversed by unconstrained functionals sacrificing physical rigor for the flexibility of empirical fitting.
Publisher
American Association for the Advancement of Science,The American Association for the Advancement of Science
Subject
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