Improving approximate determination of the noninteracting electronic kinetic energy density from electron density

This work describes a new approach for approximate obtaining the positively defined electronic kinetic energy density (KED) from electron density. KED is presented as a sum of the Weizsäcker KED, which is calculated in terms of electron density exactly, and unknown Pauli KED. The latter is presented...

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Published inInternational journal of quantum chemistry Vol. 116; no. 3; pp. 237 - 246
Main Authors Astakhov, Andrey A., Stash, Adam I., Tsirelson, Vladimir G.
Format Journal Article
LanguageEnglish
Published Hoboken Blackwell Publishing Ltd 05.02.2016
Wiley Subscription Services, Inc
Subjects
Chemistry
density functional theory
electron density
electron localization function
electronic kinetic energy density
Physical chemistry
precise X-ray experiment
Quantum physics
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Abstract This work describes a new approach for approximate obtaining the positively defined electronic kinetic energy density (KED) from electron density. KED is presented as a sum of the Weizsäcker KED, which is calculated in terms of electron density exactly, and unknown Pauli KED. The latter is presented via local Pauli potential and Gritsenko–van Leeuwen–Baerends kinetic response potential, to which the second‐order gradient expansion is applied. The resulting expression for KED contains only one empirical parameter. The approach allowed to correctly reproduce all the features of KED, and electron localization descriptors as electron localization function and phase‐space defined Fisher information density for main types of bonds in molecules and molecular crystals. It is also demonstrated that the method is immediately applicable to derivation of mentioned bonding descriptors from experimental electron density. Herewith the method is significantly free from the drawback of Kirzhnits approximation, which is now commonly accepted for evaluation of the electronic kinetic energy characteristics from precise X‐ray diffraction experiment. © 2015 Wiley Periodicals, Inc. The kinetic energy density (KED) can be extracted from the electron density using local Pauli potential and second‐order gradient expansion scheme. This approach is able to correctly reproduce all the features of KED and electron localization descriptors as electron localization function and the phase‐space defined Fisher information density for many types of bonds in molecules and crystals. This method can be applied for the derivation of bonding descriptors from experimental electron density.
AbstractList This work describes a new approach for approximate obtaining the positively defined electronic kinetic energy density (KED) from electron density. KED is presented as a sum of the Weizsäcker KED, which is calculated in terms of electron density exactly, and unknown Pauli KED. The latter is presented via local Pauli potential and Gritsenko–van Leeuwen–Baerends kinetic response potential, to which the second‐order gradient expansion is applied. The resulting expression for KED contains only one empirical parameter. The approach allowed to correctly reproduce all the features of KED, and electron localization descriptors as electron localization function and phase‐space defined Fisher information density for main types of bonds in molecules and molecular crystals. It is also demonstrated that the method is immediately applicable to derivation of mentioned bonding descriptors from experimental electron density. Herewith the method is significantly free from the drawback of Kirzhnits approximation, which is now commonly accepted for evaluation of the electronic kinetic energy characteristics from precise X‐ray diffraction experiment. © 2015 Wiley Periodicals, Inc. The kinetic energy density (KED) can be extracted from the electron density using local Pauli potential and second‐order gradient expansion scheme. This approach is able to correctly reproduce all the features of KED and electron localization descriptors as electron localization function and the phase‐space defined Fisher information density for many types of bonds in molecules and crystals. This method can be applied for the derivation of bonding descriptors from experimental electron density.
This work describes a new approach for approximate obtaining the positively defined electronic kinetic energy density (KED) from electron density. KED is presented as a sum of the Weizsäcker KED, which is calculated in terms of electron density exactly, and unknown Pauli KED. The latter is presented via local Pauli potential and Gritsenko–van Leeuwen–Baerends kinetic response potential, to which the second‐order gradient expansion is applied. The resulting expression for KED contains only one empirical parameter. The approach allowed to correctly reproduce all the features of KED, and electron localization descriptors as electron localization function and phase‐space defined Fisher information density for main types of bonds in molecules and molecular crystals. It is also demonstrated that the method is immediately applicable to derivation of mentioned bonding descriptors from experimental electron density. Herewith the method is significantly free from the drawback of Kirzhnits approximation, which is now commonly accepted for evaluation of the electronic kinetic energy characteristics from precise X‐ray diffraction experiment. © 2015 Wiley Periodicals, Inc.
Author Astakhov, Andrey A.
Stash, Adam I.
Tsirelson, Vladimir G.
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  givenname: Adam I.
  surname: Stash
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  givenname: Vladimir G.
  surname: Tsirelson
  fullname: Tsirelson, Vladimir G.
  email: vtsirelson@yandex.ru
  organization: Department of Quantum Chemistry, D.I. Mendeleev University of Chemical Technology, Miusskaya Square, 9, 125047, Moscow, Russia Federation
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Snippet This work describes a new approach for approximate obtaining the positively defined electronic kinetic energy density (KED) from electron density. KED is...
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SubjectTerms Chemistry
density functional theory
electron density
electron localization function
electronic kinetic energy density
Physical chemistry
precise X-ray experiment
Quantum physics
Title Improving approximate determination of the noninteracting electronic kinetic energy density from electron density
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