Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments

Chemical bonding plays a central role in the description and understanding of chemistry. Many methods have been proposed to extract information about bonding from quantum chemical calculations, the majority of them resorting to molecular orbitals as basic descriptors. Here, we present a method calle...

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Main Authors: de Silva, Piotr, Zhu, Tianyu, Van Voorhis, Troy
Other Authors: Massachusetts Institute of Technology. Department of Chemistry
Format: Article
Language:en_US
Published: Journal of Chemical Theory and Computation 2018
Online Access:http://hdl.handle.net/1721.1/119508
https://orcid.org/0000-0002-4985-7350
https://orcid.org/0000-0003-2061-3237
https://orcid.org/0000-0001-7111-0176
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author de Silva, Piotr
Zhu, Tianyu
Van Voorhis, Troy
author2 Massachusetts Institute of Technology. Department of Chemistry
author_facet Massachusetts Institute of Technology. Department of Chemistry
de Silva, Piotr
Zhu, Tianyu
Van Voorhis, Troy
author_sort de Silva, Piotr
collection MIT
description Chemical bonding plays a central role in the description and understanding of chemistry. Many methods have been proposed to extract information about bonding from quantum chemical calculations, the majority of them resorting to molecular orbitals as basic descriptors. Here, we present a method called self-attractive Hartree (SAH) decomposition to unravel pairs of electrons directly from the electron density, which unlike molecular orbitals is a well-defined observable that can be accessed experimentally. The key idea is to partition the density into a sum of one-electron fragments that simultaneously maximize the self-repulsion and maintain regular shapes. This leads to a set of rather unusual equations in which every electron experiences self-attractive Hartree potential in addition to an external potential common for all the electrons. The resulting symmetry breaking and localization are surprisingly consistent with chemical intuition. SAH decomposition is also shown to be effective in visualization of single/multiple bonds, lone pairs, and unusual bonds due to the smooth nature of fragment densities. Furthermore, we demonstrate that it can be used to identify specific chemical bonds in molecular complexes and provides a simple and accurate electrostatic model of hydrogen bonding.
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spelling mit-1721.1/1195082022-09-27T19:46:44Z Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments de Silva, Piotr Zhu, Tianyu Van Voorhis, Troy Massachusetts Institute of Technology. Department of Chemistry Voorhis, Troy Van de Silva, Piotr Zhu, Tianyu Van Voorhis, Troy Chemical bonding plays a central role in the description and understanding of chemistry. Many methods have been proposed to extract information about bonding from quantum chemical calculations, the majority of them resorting to molecular orbitals as basic descriptors. Here, we present a method called self-attractive Hartree (SAH) decomposition to unravel pairs of electrons directly from the electron density, which unlike molecular orbitals is a well-defined observable that can be accessed experimentally. The key idea is to partition the density into a sum of one-electron fragments that simultaneously maximize the self-repulsion and maintain regular shapes. This leads to a set of rather unusual equations in which every electron experiences self-attractive Hartree potential in addition to an external potential common for all the electrons. The resulting symmetry breaking and localization are surprisingly consistent with chemical intuition. SAH decomposition is also shown to be effective in visualization of single/multiple bonds, lone pairs, and unusual bonds due to the smooth nature of fragment densities. Furthermore, we demonstrate that it can be used to identify specific chemical bonds in molecular complexes and provides a simple and accurate electrostatic model of hydrogen bonding. National Science Foundation (U.S.) (Grant CHE-1464804) David & Lucile Packard Foundation 2018-12-11T20:17:04Z 2018-12-11T20:17:04Z 2017-12 2017-09 Article http://purl.org/eprint/type/JournalArticle 1549-9618 1549-9626 http://hdl.handle.net/1721.1/119508 Zhu, Tianyu, Piotr de Silva, and Troy Van Voorhis. “Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments.” Journal of Chemical Theory and Computation 14, no. 1 (December 26, 2017): 92–103. https://orcid.org/0000-0002-4985-7350 https://orcid.org/0000-0003-2061-3237 https://orcid.org/0000-0001-7111-0176 en_US http://dx.doi.org/10.1021/acs.jctc.7b00931 Journal of Chemical Theory and Computation Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Journal of Chemical Theory and Computation Prof. Van Voorhis via Erja Kajosalo
spellingShingle de Silva, Piotr
Zhu, Tianyu
Van Voorhis, Troy
Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments
title Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments
title_full Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments
title_fullStr Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments
title_full_unstemmed Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments
title_short Self-Attractive Hartree Decomposition: Partitioning Electron Density into Smooth Localized Fragments
title_sort self attractive hartree decomposition partitioning electron density into smooth localized fragments
url http://hdl.handle.net/1721.1/119508
https://orcid.org/0000-0002-4985-7350
https://orcid.org/0000-0003-2061-3237
https://orcid.org/0000-0001-7111-0176
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