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Study of some simple approximations to the non‐interacting kinetic energy functional
Author(s) -
Salazar Edison X.,
Guarderas Pedro F.,
Ludeña Eduardo V.,
Cornejo Mauricio H.,
Karasiev Valentin V.
Publication year - 2016
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.25179
Subject(s) - kinetic energy , simple (philosophy) , series (stratigraphy) , density functional theory , ion , shell (structure) , physics , orbital free density functional theory , energy (signal processing) , atomic physics , hybrid functional , statistical physics , chemistry , quantum mechanics , computational chemistry , materials science , paleontology , philosophy , epistemology , composite material , biology
Within the framework of density functional theory, a study of approximations to the enhancement factor of the non‐interacting kinetic energy functional T s [ ρ ] has been presented. For this purpose, the model of Liu and Parr (Liu and Parr, Phys Rev A 1997, 55, 1792) based on a series expansion of T s [ ρ ] involving powers of the density was employed. Application to 34 atoms, at the Hartree–Fock level has shown that the enhancement factors present peaks that are in excellent agreement with those of the exact ones and give an accurate description of the shell structure of these atoms. The application of Z‐dependent expansions to represent some of the terms of these approximations for neutral atoms and for positive and negative ions, which allows T s [ ρ ] to be cast in a very simple form, is also explored. Indications are given as to how these functionals may be applied to molecules and clusters. © 2016 Wiley Periodicals, Inc.