1
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Stein F, Hutter J. Massively parallel implementation of gradients within the random phase approximation: Application to the polymorphs of benzene. J Chem Phys 2024; 160:024120. [PMID: 38214385 DOI: 10.1063/5.0180704] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2023] [Accepted: 12/15/2023] [Indexed: 01/13/2024] Open
Abstract
The Random-Phase approximation (RPA) provides an appealing framework for semi-local density functional theory. In its Resolution-of-the-Identity (RI) approach, it is a very accurate and more cost-effective method than most other wavefunction-based correlation methods. For widespread applications, efficient implementations of nuclear gradients for structure optimizations and data sampling of machine learning approaches are required. We report a well scaling implementation of RI-RPA nuclear gradients on massively parallel computers. The approach is applied to two polymorphs of the benzene crystal obtaining very good cohesive and relative energies. Different correction and extrapolation schemes are investigated for further improvement of the results and estimations of error bars.
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Affiliation(s)
- Frederick Stein
- Center for Advanced Systems Understanding (CASUS), Helmholtz-Zentrum Dresden, Rossendorf (HZDR), Untermarkt 20, 02826 Görlitz, Germany
| | - Jürg Hutter
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
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2
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Quesada JV, Chmela J, Greisch JF, Klopper W, Harding ME. A litmus test for the balanced description of dispersion interactions and coordination chemistry of lanthanoids. Phys Chem Chem Phys 2022; 24:25106-25117. [PMID: 35920212 DOI: 10.1039/d2cp01414a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The influence of long-range interactions on the structure of complexes of Eu(III) with four 9-hydroxy-phenalen-1-one ligands (HPLN) and one alkaline earth metal dication [Eu(PLN)4AE]+ (AE: Mg, Ca, Sr, and Ba) is analyzed. Through the [Eu(PLN)4Ca]+ complex, which is a charged complex with two metals-one of them a lanthanoid-and with four relatively fluxional π-ligands, the difficulties of describing such systems are identified. The inclusion of the D3(BJ) or D4 corrections to different density functionals introduces significant changes in the structure, which are shown to stem from the interaction between pairs of PLN ligands. This interaction is studied further with a variety of density functionals, wave-function based methods, and by means of the random phase approximation. By comparing the computed results with those from experimental evidence of gas-phase photoluminescence and ion mobility measurements it is concluded that the inclusion of dispersion corrections does not always yield structures that are in agreement with the experimental findings.
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Affiliation(s)
- Juana Vázquez Quesada
- Institut für Physikalische Chemie, Karlsruher Institut für Technologie (KIT), Campus Süd, Postfach 6980, D-76049 Karlsruhe, Germany.
| | - Jiří Chmela
- Institut für Physikalische Chemie, Karlsruher Institut für Technologie (KIT), Campus Süd, Postfach 6980, D-76049 Karlsruhe, Germany.
| | - Jean-François Greisch
- Institut für Nanotechnologie, Karlsruher Institut für Technologie (KIT), Campus Nord, Postfach 3640, D-76021 Karlsruhe, Germany.
| | - Wim Klopper
- Institut für Physikalische Chemie, Karlsruher Institut für Technologie (KIT), Campus Süd, Postfach 6980, D-76049 Karlsruhe, Germany. .,Institut für Nanotechnologie, Karlsruher Institut für Technologie (KIT), Campus Nord, Postfach 3640, D-76021 Karlsruhe, Germany.
| | - Michael E Harding
- Institut für Nanotechnologie, Karlsruher Institut für Technologie (KIT), Campus Nord, Postfach 3640, D-76021 Karlsruhe, Germany.
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3
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Herzog B, Chagas da Silva M, Casier B, Badawi M, Pascale F, Bučko T, Lebègue S, Rocca D. Assessing the Accuracy of Machine Learning Thermodynamic Perturbation Theory: Density Functional Theory and Beyond. J Chem Theory Comput 2022; 18:1382-1394. [PMID: 35191699 DOI: 10.1021/acs.jctc.1c01034] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Abstract
Machine learning thermodynamic perturbation theory (MLPT) is a promising approach to compute finite temperature properties when the goal is to compare several different levels of ab initio theory and/or to apply highly expensive computational methods. Indeed, starting from a production molecular dynamics trajectory, this method can estimate properties at one or more target levels of theory from only a small number of additional fixed-geometry calculations, which are used to train a machine learning model. However, as MLPT is based on thermodynamic perturbation theory (TPT), inaccuracies might arise when the starting point trajectory samples a configurational space which has a small overlap with that of the target approximations of interest. By considering case studies of molecules adsorbed in zeolites and several different density functional theory approximations, in this work we assess the accuracy of MLPT for ensemble total energies and enthalpies of adsorption. It is shown that problematic cases can be detected even without knowing reference results and that even in these situations it is possible to recover target level results within chemical accuracy by applying a machine-learning-based Monte Carlo (MLMC) resampling. Finally, on the basis of the ideas developed in this work, we assess and confirm the accuracy of recently published MLPT-based enthalpies of adsorption at the random phase approximation level, whose high computational cost would completely hinder a direct molecular dynamics simulation.
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Affiliation(s)
- Basile Herzog
- Université de Lorraine and CNRS, Laboratoire de Physique et Chimie Théorique, UMR 7019, 54506 Vandœuvre-lés-Nancy, France
| | - Maurício Chagas da Silva
- Université de Lorraine and CNRS, Laboratoire de Physique et Chimie Théorique, UMR 7019, 54506 Vandœuvre-lés-Nancy, France
| | - Bastien Casier
- Université de Lorraine and CNRS, Laboratoire de Physique et Chimie Théorique, UMR 7019, 54506 Vandœuvre-lés-Nancy, France
| | - Michael Badawi
- Université de Lorraine and CNRS, Laboratoire de Physique et Chimie Théorique, UMR 7019, 54506 Vandœuvre-lés-Nancy, France
| | - Fabien Pascale
- Université de Lorraine and CNRS, Laboratoire de Physique et Chimie Théorique, UMR 7019, 54506 Vandœuvre-lés-Nancy, France
| | - Tomáš Bučko
- Department of Physical and Theoretical Chemistry, Faculty of Natural Sciences, Comenius University in Bratislava, Mlynská Dolina, Ilkovičova 6, SK-84215 Bratislava, Slovakia.,Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84236 Bratislava, Slovakia
| | - Sébastien Lebègue
- Université de Lorraine and CNRS, Laboratoire de Physique et Chimie Théorique, UMR 7019, 54506 Vandœuvre-lés-Nancy, France
| | - Dario Rocca
- Université de Lorraine and CNRS, Laboratoire de Physique et Chimie Théorique, UMR 7019, 54506 Vandœuvre-lés-Nancy, France
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4
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Kühne TD, Iannuzzi M, Del Ben M, Rybkin VV, Seewald P, Stein F, Laino T, Khaliullin RZ, Schütt O, Schiffmann F, Golze D, Wilhelm J, Chulkov S, Bani-Hashemian MH, Weber V, Borštnik U, Taillefumier M, Jakobovits AS, Lazzaro A, Pabst H, Müller T, Schade R, Guidon M, Andermatt S, Holmberg N, Schenter GK, Hehn A, Bussy A, Belleflamme F, Tabacchi G, Glöß A, Lass M, Bethune I, Mundy CJ, Plessl C, Watkins M, VandeVondele J, Krack M, Hutter J. CP2K: An electronic structure and molecular dynamics software package - Quickstep: Efficient and accurate electronic structure calculations. J Chem Phys 2020; 152:194103. [PMID: 33687235 DOI: 10.1063/5.0007045] [Citation(s) in RCA: 856] [Impact Index Per Article: 214.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
Abstract
CP2K is an open source electronic structure and molecular dynamics software package to perform atomistic simulations of solid-state, liquid, molecular, and biological systems. It is especially aimed at massively parallel and linear-scaling electronic structure methods and state-of-the-art ab initio molecular dynamics simulations. Excellent performance for electronic structure calculations is achieved using novel algorithms implemented for modern high-performance computing systems. This review revisits the main capabilities of CP2K to perform efficient and accurate electronic structure simulations. The emphasis is put on density functional theory and multiple post-Hartree-Fock methods using the Gaussian and plane wave approach and its augmented all-electron extension.
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Affiliation(s)
- Thomas D Kühne
- Dynamics of Condensed Matter and Center for Sustainable Systems Design, Chair of Theoretical Chemistry, Paderborn University, Warburger Str. 100, D-33098 Paderborn, Germany
| | - Marcella Iannuzzi
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Mauro Del Ben
- Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Vladimir V Rybkin
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Patrick Seewald
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Frederick Stein
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Teodoro Laino
- IBM Research Europe, CH-8803 Rüschlikon, Switzerland
| | - Rustam Z Khaliullin
- Department of Chemistry, McGill University, CH-801 Sherbrooke St. West, Montreal, Quebec H3A 0B8, Canada
| | - Ole Schütt
- Department of Materials, ETH Zürich, CH-8092 Zürich, Switzerland
| | | | - Dorothea Golze
- Department of Applied Physics, Aalto University, Otakaari 1, FI-02150 Espoo, Finland
| | - Jan Wilhelm
- Institute of Theoretical Physics, University of Regensburg, Universitätsstraße 31, D-93053 Regensburg, Germany
| | - Sergey Chulkov
- School of Mathematics and Physics, University of Lincoln, Brayford Pool, Lincoln, United Kingdom
| | | | - Valéry Weber
- IBM Research Europe, CH-8803 Rüschlikon, Switzerland
| | | | | | | | | | - Hans Pabst
- Intel Extreme Computing, Software and Systems, Zürich, Switzerland
| | - Tiziano Müller
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Robert Schade
- Department of Computer Science and Paderborn Center for Parallel Computing, Paderborn University, Warburger Str. 100, D-33098 Paderborn, Germany
| | - Manuel Guidon
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Samuel Andermatt
- Integrated Systems Laboratory, ETH Zürich, CH-8092 Zürich, Switzerland
| | - Nico Holmberg
- Department of Chemistry and Materials Science, Aalto University, P.O. Box 16100, 00076 Aalto, Finland
| | - Gregory K Schenter
- Physical Science Division, Pacific Northwest National Laboratory, P.O. Box 999, Richland, Washington 99352, USA
| | - Anna Hehn
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Augustin Bussy
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Fabian Belleflamme
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
| | - Gloria Tabacchi
- Department of Science and High Technology, University of Insubria and INSTM, via Valleggio 9, I-22100 Como, Italy
| | - Andreas Glöß
- BASF SE, Carl-Bosch-Straße 38, D-67056 Ludwigshafen am Rhein, Germany
| | - Michael Lass
- Department of Computer Science and Paderborn Center for Parallel Computing, Paderborn University, Warburger Str. 100, D-33098 Paderborn, Germany
| | - Iain Bethune
- Hartree Centre, Science and Technology Facilities Council, Sci-Tech Daresbury, Warrington WA4 4AD, United Kingdom
| | - Christopher J Mundy
- Physical Science Division, Pacific Northwest National Laboratory, P.O. Box 999, Richland, Washington 99352, USA
| | - Christian Plessl
- Department of Computer Science and Paderborn Center for Parallel Computing, Paderborn University, Warburger Str. 100, D-33098 Paderborn, Germany
| | - Matt Watkins
- School of Mathematics and Physics, University of Lincoln, Brayford Pool, Lincoln, United Kingdom
| | - Joost VandeVondele
- Swiss National Supercomputing Centre (CSCS), ETH Zürich, Zürich, Switzerland
| | - Matthias Krack
- Laboratory for Scientific Computing and Modelling, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
| | - Jürg Hutter
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
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5
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Fabrizio A, Petraglia R, Corminboeuf C. Balancing Density Functional Theory Interaction Energies in Charged Dimers Precursors to Organic Semiconductors. J Chem Theory Comput 2020; 16:3530-3542. [DOI: 10.1021/acs.jctc.9b01193] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Affiliation(s)
- Alberto Fabrizio
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
- National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
| | - Riccardo Petraglia
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
| | - Clemence Corminboeuf
- Laboratory for Computational Molecular Design, Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
- National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
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6
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Hermann J, Tkatchenko A. Density Functional Model for van der Waals Interactions: Unifying Many-Body Atomic Approaches with Nonlocal Functionals. PHYSICAL REVIEW LETTERS 2020; 124:146401. [PMID: 32338971 DOI: 10.1103/physrevlett.124.146401] [Citation(s) in RCA: 36] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/07/2019] [Accepted: 03/16/2020] [Indexed: 06/11/2023]
Abstract
Noncovalent van der Waals (vdW) interactions are responsible for a wide range of phenomena in matter. Popular density-functional methods that treat vdW interactions use disparate physical models for these intricate forces, and as a result the applicability of these methods is often restricted to a subset of relevant molecules and materials. Aiming towards a general-purpose density functional model of vdW interactions, here we unify two complementary approaches: nonlocal vdW functionals for polarization and interatomic methods for many-body interactions. The developed nonlocal many-body dispersion method (MBD-NL) increases the accuracy and efficiency of existing vdW functionals and is shown to be broadly applicable to molecules, soft and hard materials including ionic and metallic compounds, as well as interfaces between organic molecules and inorganic materials.
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Affiliation(s)
- Jan Hermann
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
- FU Berlin, Department of Mathematics and Computer Science, Arnimallee 6, 14195 Berlin, Germany
| | - Alexandre Tkatchenko
- Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
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7
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Klimeš J, Tew DP. Efficient and accurate description of adsorption in zeolites. J Chem Phys 2019; 151:234108. [PMID: 31864262 DOI: 10.1063/1.5123425] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
Abstract
Accurate theoretical methods are needed to correctly describe adsorption on solid surfaces or in porous materials. The random phase approximation (RPA) with singles corrections scheme and the second order Møller-Plesset perturbation theory (MP2) are two schemes, which offer high accuracy at affordable computational cost. However, there is little knowledge about their applicability and reliability for different adsorbates and surfaces. Here, we calculate adsorption energies of seven different molecules in zeolite chabazite to show that RPA with singles corrections is superior to MP2, not only in terms of accuracy but also in terms of computer time. Therefore, RPA with singles is a suitable scheme for obtaining highly accurate adsorption energies in porous materials and similar systems.
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Affiliation(s)
- Jiří Klimeš
- Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, CZ-12116 Prague 2, Czech Republic
| | - David P Tew
- Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1, 70569 Stuttgart, Germany
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8
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Yang H, Govoni M, Galli G. Improving the efficiency of G 0W 0 calculations with approximate spectral decompositions of dielectric matrices. J Chem Phys 2019; 151:224102. [PMID: 31837679 DOI: 10.1063/1.5126214] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
Abstract
Recently, it was shown that the calculation of quasiparticle energies using the G0W0 approximation can be performed without computing explicitly any virtual electronic states, by expanding the Green function and screened Coulomb interaction in terms of the eigenstates of the static dielectric matrix. Avoiding the evaluation of virtual electronic states leads to improved efficiency and ease of convergence of G0W0 calculations. Here, we propose a further improvement of the efficiency of these calculations, based on an approximation of density-density response functions of molecules and solids. The approximation relies on the calculation of a subset of eigenvectors of the dielectric matrix using the kinetic operator instead of the full Hamiltonian, and it does not lead to any substantial loss of accuracy for the quasiparticle energies. The computational savings introduced by this approximation depend on the system, and they become more substantial as the number of electrons increases.
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Affiliation(s)
- Han Yang
- Department of Chemistry, University of Chicago, Chicago, Illinois 60637, USA
| | - Marco Govoni
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Giulia Galli
- Department of Chemistry, University of Chicago, Chicago, Illinois 60637, USA
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9
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Louis H, Guo LJ, Zhu S, Hussain S, He T. Computational study on interactions between CO2 and (TiO2)n clusters at specific sites. CHINESE J CHEM PHYS 2019. [DOI: 10.1063/1674-0068/cjcp1905108] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
Affiliation(s)
- Hitler Louis
- Chinese Academy of Sciences Key Laboratory of Nanosystem and Hierarchical Fabrication, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Ling-ju Guo
- Chinese Academy of Sciences Key Laboratory of Nanosystem and Hierarchical Fabrication, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing 100190, China
| | - Shuang Zhu
- Chinese Academy of Sciences Key Laboratory of Nanosystem and Hierarchical Fabrication, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Sajjad Hussain
- Chinese Academy of Sciences Key Laboratory of Nanosystem and Hierarchical Fabrication, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Tao He
- Chinese Academy of Sciences Key Laboratory of Nanosystem and Hierarchical Fabrication, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
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10
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Modrzejewski M, Yourdkhani S, Klimeš J. Random Phase Approximation Applied to Many-Body Noncovalent Systems. J Chem Theory Comput 2019; 16:427-442. [DOI: 10.1021/acs.jctc.9b00979] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Marcin Modrzejewski
- Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, CZ-12116 Prague 2, Czech Republic
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - Sirous Yourdkhani
- Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, CZ-12116 Prague 2, Czech Republic
| | - Jiří Klimeš
- Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, CZ-12116 Prague 2, Czech Republic
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11
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Chehaibou B, Badawi M, Bučko T, Bazhirov T, Rocca D. Computing RPA Adsorption Enthalpies by Machine Learning Thermodynamic Perturbation Theory. J Chem Theory Comput 2019; 15:6333-6342. [DOI: 10.1021/acs.jctc.9b00782] [Citation(s) in RCA: 28] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Affiliation(s)
- Bilal Chehaibou
- Université de Lorraine, LPCT, UMR 7019, 54506 Vandoeuvre-lès-Nancy, France
- CNRS, LPCT, UMR 7019, 54506 Vandoeuvre-lès-Nancy, France
| | - Michael Badawi
- Université de Lorraine, LPCT, UMR 7019, 54506 Vandoeuvre-lès-Nancy, France
- CNRS, LPCT, UMR 7019, 54506 Vandoeuvre-lès-Nancy, France
| | - Tomáš Bučko
- Department of Physical and Theoretical Chemistry, Faculty of Natural Sciences, Comenius University in Bratislava, Mlynská Dolina, Ilkovičova 6, SK-84215 Bratislava, Slovakia
- Institute of Inorganic Chemistry, Slovak Academy of Sciences, Dúbravská cesta 9, SK-84236 Bratislava, Slovakia
| | - Timur Bazhirov
- Exabyte Inc., San Francisco, California 94103, United States
| | - Dario Rocca
- Université de Lorraine, LPCT, UMR 7019, 54506 Vandoeuvre-lès-Nancy, France
- CNRS, LPCT, UMR 7019, 54506 Vandoeuvre-lès-Nancy, France
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12
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Su H, Wang H, Wang H, Lu Y, Zhu Z. Description of noncovalent interactions involving π‐system with high precision: An assessment of RPA, MP2, and DFT‐D methods. J Comput Chem 2019; 40:1643-1651. [DOI: 10.1002/jcc.25817] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2018] [Revised: 02/20/2019] [Accepted: 02/21/2019] [Indexed: 01/15/2023]
Affiliation(s)
- He Su
- School of Physical Science and Technology, Key Laboratory of Advanced Technologies of Materials, Ministry of Education of ChinaSouthwest Jiaotong University Chengdu 611756 People's Republic of China
| | - Hui Wang
- School of Physical Science and Technology, Key Laboratory of Advanced Technologies of Materials, Ministry of Education of ChinaSouthwest Jiaotong University Chengdu 611756 People's Republic of China
| | - Hongyan Wang
- School of Physical Science and Technology, Key Laboratory of Advanced Technologies of Materials, Ministry of Education of ChinaSouthwest Jiaotong University Chengdu 611756 People's Republic of China
| | - Yunxiang Lu
- Key Laboratory for Advanced Materials and School of Chemistry & Molecular Engineering, Department of ChemistryEast China University of Science and Technology Shanghai 200237 People's Republic of China
| | - Zhengdan Zhu
- CAS Key Laboratory of Receptor Research, Drug Discovery and Design Center, Shanghai Institute of Materia Medica, Chinese Academy of SciencesUniversity of Chinese Academy of Sciences Shanghai 201203 People's Republic of China
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13
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Al-Hamdani YS, Tkatchenko A. Understanding non-covalent interactions in larger molecular complexes from first principles. J Chem Phys 2019; 150:010901. [PMID: 30621423 PMCID: PMC6910608 DOI: 10.1063/1.5075487] [Citation(s) in RCA: 38] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/22/2018] [Accepted: 12/05/2018] [Indexed: 01/02/2023] Open
Abstract
Non-covalent interactions pervade all matter and play a fundamental role in layered materials, biological systems, and large molecular complexes. Despite this, our accumulated understanding of non-covalent interactions to date has been mainly developed in the tens-of-atoms molecular regime. This falls considerably short of the scales at which we would like to understand energy trends, structural properties, and temperature dependencies in materials where non-covalent interactions have an appreciable role. However, as more reference information is obtained beyond moderately sized molecular systems, our understanding is improving and we stand to gain pertinent insights by tackling more complex systems, such as supramolecular complexes, molecular crystals, and other soft materials. In addition, accurate reference information is needed to provide the drive for extending the predictive power of more efficient workhorse methods, such as density functional approximations that also approximate van der Waals dispersion interactions. In this perspective, we discuss the first-principles approaches that have been used to obtain reference interaction energies for beyond modestly sized molecular complexes. The methods include quantum Monte Carlo, symmetry-adapted perturbation theory, non-canonical coupled cluster theory, and approaches based on the random-phase approximation. By considering the approximations that underpin each method, the most accurate theoretical references for supramolecular complexes and molecular crystals to date are ascertained. With these, we also assess a handful of widely used exchange-correlation functionals in density functional theory. The discussion culminates in a framework for putting into perspective the accuracy of high-level wavefunction-based methods and identifying future challenges.
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Affiliation(s)
- Yasmine S Al-Hamdani
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - Alexandre Tkatchenko
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
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14
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Dixit A, Claudot J, Lebègue S, Rocca D. Improving the Efficiency of Beyond-RPA Methods within the Dielectric Matrix Formulation: Algorithms and Applications to the A24 and S22 Test Sets. J Chem Theory Comput 2017; 13:5432-5442. [DOI: 10.1021/acs.jctc.7b00837] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Anant Dixit
- Université de Lorraine, CRM2, UMR 7036, 54506 Vandœuvre-lès-Nancy, France
| | - Julien Claudot
- Université de Lorraine, CRM2, UMR 7036, 54506 Vandœuvre-lès-Nancy, France
| | - Sébastien Lebègue
- Université de Lorraine, CRM2, UMR 7036, 54506 Vandœuvre-lès-Nancy, France
- CNRS, CRM2, UMR 7036, 54506 Vandœuvre-lès-Nancy, France
| | - Dario Rocca
- Université de Lorraine, CRM2, UMR 7036, 54506 Vandœuvre-lès-Nancy, France
- CNRS, CRM2, UMR 7036, 54506 Vandœuvre-lès-Nancy, France
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15
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Su H, Wu Q, Wang H, Wang H. An assessment of the random-phase approximation functional and characteristics analysis for noncovalent cation-π interactions. Phys Chem Chem Phys 2017; 19:26014-26021. [PMID: 28920597 DOI: 10.1039/c7cp04504b] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The binding energy is of great importance in understanding the formation and stability of noncovalent interactions. However, the determination of the binding energy with high precision and efficiency in medium- and long-range noncovalent interactions is still challenging for quantum chemistry. Here, we assess the performance of random-phase approximation (RPA), a fully non-local fifth-rung of the Jacob ladder functional, in determining the binding energy of cation-π systems (cation = Li+, Na+, Be2+, Mg2+, Al+, and NH4+; π = C6H6), which, to the best of our knowledge, has not been investigated. Using experimental results as the benchmark, we systematically compared the RPA method to the other ab initio methods (DFT/B3LYP, MP2, CCSD(T), and QCISD(T)) both in calculation accuracy and efficiency. From the perspective of accuracy, RPA is the best among these approaches, followed by the CCSD(T) and QCISD(T) methods. DFT/B3LYP and MP2 provide the worst accuracy. In addition, the computational efficiency of RPA is much faster than that of CCSD(T) and QCISD(T). We believe that RPA is a robust method for the precise description of medium- and long-range noncovalent interactions and is capable of providing benchmarking data. The interaction strength and interaction nature of cation-π systems are further analyzed by atoms in molecules (AIM) and the color-mapped reduced density gradient (RDG) isosurface, which are consistent with the characteristics of a typical cation-π interaction.
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Affiliation(s)
- He Su
- School of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, P. R. China.
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16
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Dixit A, Claudot J, Lebègue S, Rocca D. Communication: A novel implementation to compute MP2 correlation energies without basis set superposition errors and complete basis set extrapolation. J Chem Phys 2017; 146:211102. [PMID: 28595409 PMCID: PMC5457293 DOI: 10.1063/1.4985096] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/19/2017] [Accepted: 05/25/2017] [Indexed: 11/14/2022] Open
Abstract
By using a formulation based on the dynamical polarizability, we propose a novel implementation of second-order Møller-Plesset perturbation (MP2) theory within a plane wave (PW) basis set. Because of the intrinsic properties of PWs, this method is not affected by basis set superposition errors. Additionally, results are converged without relying on complete basis set extrapolation techniques; this is achieved by using the eigenvectors of the static polarizability as an auxiliary basis set to compactly and accurately represent the response functions involved in the MP2 equations. Summations over the large number of virtual states are avoided by using a formalism inspired by density functional perturbation theory, and the Lanczos algorithm is used to include dynamical effects. To demonstrate this method, applications to three weakly interacting dimers are presented.
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Affiliation(s)
- Anant Dixit
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - Julien Claudot
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - Sébastien Lebègue
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - Dario Rocca
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
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17
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Hermann J, DiStasio RA, Tkatchenko A. First-Principles Models for van der Waals Interactions in Molecules and Materials: Concepts, Theory, and Applications. Chem Rev 2017; 117:4714-4758. [PMID: 28272886 DOI: 10.1021/acs.chemrev.6b00446] [Citation(s) in RCA: 255] [Impact Index Per Article: 36.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
Noncovalent van der Waals (vdW) or dispersion forces are ubiquitous in nature and influence the structure, stability, dynamics, and function of molecules and materials throughout chemistry, biology, physics, and materials science. These forces are quantum mechanical in origin and arise from electrostatic interactions between fluctuations in the electronic charge density. Here, we explore the conceptual and mathematical ingredients required for an exact treatment of vdW interactions, and present a systematic and unified framework for classifying the current first-principles vdW methods based on the adiabatic-connection fluctuation-dissipation (ACFD) theorem (namely the Rutgers-Chalmers vdW-DF, Vydrov-Van Voorhis (VV), exchange-hole dipole moment (XDM), Tkatchenko-Scheffler (TS), many-body dispersion (MBD), and random-phase approximation (RPA) approaches). Particular attention is paid to the intriguing nature of many-body vdW interactions, whose fundamental relevance has recently been highlighted in several landmark experiments. The performance of these models in predicting binding energetics as well as structural, electronic, and thermodynamic properties is connected with the theoretical concepts and provides a numerical summary of the state-of-the-art in the field. We conclude with a roadmap of the conceptual, methodological, practical, and numerical challenges that remain in obtaining a universally applicable and truly predictive vdW method for realistic molecular systems and materials.
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Affiliation(s)
- Jan Hermann
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6, 14195 Berlin, Germany
| | - Robert A DiStasio
- Department of Chemistry and Chemical Biology, Cornell University , Ithaca, New York 14853, United States
| | - Alexandre Tkatchenko
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6, 14195 Berlin, Germany.,Physics and Materials Science Research Unit, University of Luxembourg , L-1511 Luxembourg, Luxembourg
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18
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Grundei MMJ, Burow AM. Random Phase Approximation for Periodic Systems Employing Direct Coulomb Lattice Summation. J Chem Theory Comput 2017; 13:1159-1175. [DOI: 10.1021/acs.jctc.6b01146] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Martin M. J. Grundei
- Department of Chemistry, Ludwig-Maximilians-Universität (LMU) Munich, Butenandtstrasse 7, D-81377 Munich, Germany
| | - Asbjörn M. Burow
- Department of Chemistry, Ludwig-Maximilians-Universität (LMU) Munich, Butenandtstrasse 7, D-81377 Munich, Germany
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19
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Wilhelm J, Seewald P, Del Ben M, Hutter J. Large-Scale Cubic-Scaling Random Phase Approximation Correlation Energy Calculations Using a Gaussian Basis. J Chem Theory Comput 2016; 12:5851-5859. [DOI: 10.1021/acs.jctc.6b00840] [Citation(s) in RCA: 45] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jan Wilhelm
- Department
of Chemistry and National Centre for Computational Design and Discovery
of Novel Materials (MARVEL), University of Zurich, 8057 Zurich, Switzerland
| | - Patrick Seewald
- Department
of Chemistry and National Centre for Computational Design and Discovery
of Novel Materials (MARVEL), University of Zurich, 8057 Zurich, Switzerland
| | - Mauro Del Ben
- Computational
Research Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Jürg Hutter
- Department
of Chemistry and National Centre for Computational Design and Discovery
of Novel Materials (MARVEL), University of Zurich, 8057 Zurich, Switzerland
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20
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Dixit A, Ángyán JG, Rocca D. Improving the accuracy of ground-state correlation energies within a plane-wave basis set: The electron-hole exchange kernel. J Chem Phys 2016; 145:104105. [DOI: 10.1063/1.4962352] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
Affiliation(s)
- Anant Dixit
- Université de Lorraine, CRM2, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - János G. Ángyán
- Université de Lorraine, CRM2, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
- CNRS, CRM2, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - Dario Rocca
- Université de Lorraine, CRM2, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
- CNRS, CRM2, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
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21
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Klimeš J. Lattice energies of molecular solids from the random phase approximation with singles corrections. J Chem Phys 2016; 145:094506. [DOI: 10.1063/1.4962188] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jiří Klimeš
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Dolejškova 3, CZ-18223 Prague 8, Czech Republic and Department of Chemical Physics and Optics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, CZ-12116 Prague 2, Czech Republic
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22
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Azadi S, Cohen RE. Low-pressure phase diagram of crystalline benzene from quantum Monte Carlo. J Chem Phys 2016. [DOI: 10.1063/1.4960434] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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23
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Lu D. Insights into the spurious long-range nature of local r-dependent non-local exchange-correlation kernels. J Chem Phys 2016; 145:054121. [PMID: 27497553 DOI: 10.1063/1.4960381] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
A systematic route to go beyond the exact exchange plus random phase approximation (RPA) is to include a physical exchange-correlation kernel in the adiabatic-connection fluctuation-dissipation theorem. In the previous study [D. Lu, J. Chem. Phys. 140, 18A520 (2014)], we found that non-local kernels with a screening length depending on the local Wigner-Seitz radius, rs(r), suffer an error associated with a spurious long-range repulsion in van der Waals bounded systems, which deteriorates the binding energy curve as compared to RPA. We analyze the source of the error and propose to replace rs(r) by a global, average rs in the kernel. Exemplary studies with the Corradini, del Sole, Onida, and Palummo kernel show that while this change does not affect the already outstanding performance in crystalline solids, using an average rs significantly reduces the spurious long-range tail in the exchange-correlation kernel in van der Waals bounded systems. When this method is combined with further corrections using local dielectric response theory, the binding energy of the Kr dimer is improved three times as compared to RPA.
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Affiliation(s)
- Deyu Lu
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, New York 11973, USA
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24
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Pham TH, Ramprasad R, Nguyen HV. Density-functional description of polymer crystals: A comparative study of recent van der Waals functionals. J Chem Phys 2016; 144:214905. [DOI: 10.1063/1.4953170] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
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25
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Mussard B, Rocca D, Jansen G, Ángyán JG. Dielectric Matrix Formulation of Correlation Energies in the Random Phase Approximation: Inclusion of Exchange Effects. J Chem Theory Comput 2016; 12:2191-202. [DOI: 10.1021/acs.jctc.5b01129] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | - Georg Jansen
- Fakultät
für Chemie, Universität Duisburg-Essen, D-45117 Essen, Germany
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26
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Abstract
Interest in molecular crystals has grown thanks to their relevance to pharmaceuticals, organic semiconductor materials, foods, and many other applications. Electronic structure methods have become an increasingly important tool for modeling molecular crystals and polymorphism. This article reviews electronic structure techniques used to model molecular crystals, including periodic density functional theory, periodic second-order Møller-Plesset perturbation theory, fragment-based electronic structure methods, and diffusion Monte Carlo. It also discusses the use of these models for predicting a variety of crystal properties that are relevant to the study of polymorphism, including lattice energies, structures, crystal structure prediction, polymorphism, phase diagrams, vibrational spectroscopies, and nuclear magnetic resonance spectroscopy. Finally, tools for analyzing crystal structures and intermolecular interactions are briefly discussed.
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Affiliation(s)
- Gregory J O Beran
- Department of Chemistry, University of California , Riverside, California 92521, United States
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27
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Scherrer A, Sebastiani D. Moment expansion of the linear density-density response function. J Comput Chem 2016; 37:665-74. [DOI: 10.1002/jcc.24248] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2015] [Revised: 10/19/2015] [Accepted: 10/21/2015] [Indexed: 12/31/2022]
Affiliation(s)
- Arne Scherrer
- Institute of Theoretical Chemistry, Martin-Luther-University Halle-Wittenberg; Von-Danckelmann-Platz 4 06120 Halle (Saale) Germany
| | - Daniel Sebastiani
- Institute of Theoretical Chemistry, Martin-Luther-University Halle-Wittenberg; Von-Danckelmann-Platz 4 06120 Halle (Saale) Germany
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28
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Kaoui F, Rocca D. Random phase approximation correlation energy using a compact representation for linear response functions: application to solids. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2016; 28:035201. [PMID: 26732535 DOI: 10.1088/0953-8984/28/3/035201] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
A new approach was recently presented to compute correlation energies within the random phase approximation using Lanczos chains and an optimal basis set (Rocca 2014 J. Chem. Phys. 140 18A501). This novel method avoids the explicit calculation of conduction states and represents linear response functions on a compact auxiliary basis set obtained from the diagonalization of an approximate dielectric matrix that contains only the kinetic energy contribution. Here, we extend this formalism, originally implemented for molecular systems, to treat periodic solids. In particular, the approximate dielectric matrix used to build the auxiliary basis set is generalized to avoid unphysical negative gaps, that make the model inefficient. The numerical convergence of the method is discussed and the accuracy is demonstrated considering a set including three covalently bonded (C, Si, and SiC) and three weakly bonded (Ne, Ar, and Kr) solids.
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Affiliation(s)
- Fawzi Kaoui
- Université de Lorraine, CRM2, UMR 7036, Vandoeuvre-lès-Nancy, F-54506, France
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29
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Patrick CE, Thygesen KS. Adiabatic-connection fluctuation-dissipation DFT for the structural properties of solids—The renormalized ALDA and electron gas kernels. J Chem Phys 2015; 143:102802. [DOI: 10.1063/1.4919236] [Citation(s) in RCA: 48] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
Affiliation(s)
- Christopher E. Patrick
- Center for Atomic-Scale Materials Design (CAMD), Department of Physics, Technical University of Denmark, DK—2800 Kongens Lyngby, Denmark
| | - Kristian S. Thygesen
- Center for Atomic-Scale Materials Design (CAMD), Department of Physics, Technical University of Denmark, DK—2800 Kongens Lyngby, Denmark
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30
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Cazorla C. The role of density functional theory methods in the prediction of nanostructured gas-adsorbent materials. Coord Chem Rev 2015. [DOI: 10.1016/j.ccr.2015.05.002] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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31
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Al-Hamdani YS, Ma M, Alfè D, von Lilienfeld OA, Michaelides A. Communication: Water on hexagonal boron nitride from diffusion Monte Carlo. J Chem Phys 2015; 142:181101. [PMID: 25978876 DOI: 10.1063/1.4921106] [Citation(s) in RCA: 42] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Despite a recent flurry of experimental and simulation studies, an accurate estimate of the interaction strength of water molecules with hexagonal boron nitride is lacking. Here, we report quantum Monte Carlo results for the adsorption of a water monomer on a periodic hexagonal boron nitride sheet, which yield a water monomer interaction energy of -84 ± 5 meV. We use the results to evaluate the performance of several widely used density functional theory (DFT) exchange correlation functionals and find that they all deviate substantially. Differences in interaction energies between different adsorption sites are however better reproduced by DFT.
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Affiliation(s)
- Yasmine S Al-Hamdani
- Thomas Young Centre and London Centre for Nanotechnology, 17-19 Gordon Street, London WC1H 0AH, United Kingdom
| | - Ming Ma
- Thomas Young Centre and London Centre for Nanotechnology, 17-19 Gordon Street, London WC1H 0AH, United Kingdom
| | - Dario Alfè
- Thomas Young Centre and London Centre for Nanotechnology, 17-19 Gordon Street, London WC1H 0AH, United Kingdom
| | - O Anatole von Lilienfeld
- Institute of Physical Chemistry and National Center for Computational Design and Discovery of Novel Materials, Department of Chemistry, University of Basel, Klingelbergstrasse 80, CH-4056 Basel, Switzerland
| | - Angelos Michaelides
- Thomas Young Centre and London Centre for Nanotechnology, 17-19 Gordon Street, London WC1H 0AH, United Kingdom
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32
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Chouhan RK, Ulman K, Narasimhan S. Graphene oxide as an optimal candidate material for methane storage. J Chem Phys 2015; 143:044704. [PMID: 26233154 DOI: 10.1063/1.4927141] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Methane, the primary constituent of natural gas, binds too weakly to nanostructured carbons to meet the targets set for on-board vehicular storage to be viable. We show, using density functional theory calculations, that replacing graphene by graphene oxide increases the adsorption energy of methane by 50%. This enhancement is sufficient to achieve the optimal binding strength. In order to gain insight into the sources of this increased binding, that could also be used to formulate design principles for novel storage materials, we consider a sequence of model systems that progressively take us from graphene to graphene oxide. A careful analysis of the various contributions to the weak binding between the methane molecule and the graphene oxide shows that the enhancement has important contributions from London dispersion interactions as well as electrostatic interactions such as Debye interactions, aided by geometric curvature induced primarily by the presence of epoxy groups.
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Affiliation(s)
- Rajiv K Chouhan
- Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore, India
| | - Kanchan Ulman
- Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore, India
| | - Shobhana Narasimhan
- Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore, India
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33
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Reilly AM, Tkatchenko A. van der Waals dispersion interactions in molecular materials: beyond pairwise additivity. Chem Sci 2015; 6:3289-3301. [PMID: 28757994 PMCID: PMC5514477 DOI: 10.1039/c5sc00410a] [Citation(s) in RCA: 121] [Impact Index Per Article: 13.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/03/2015] [Accepted: 03/29/2015] [Indexed: 12/25/2022] Open
Abstract
van der Waals (vdW) dispersion interactions are a key ingredient in the structure, stability, and response properties of many molecular materials and essential for us to be able to understand and design novel intricate molecular systems. Pairwise-additive models of vdW interactions are ubiquitous, but neglect their true quantum-mechanical many-body nature. In this perspective we focus on recent developments and applications of methods that can capture collective and many-body effects in vdW interactions. Highlighting a number of recent studies in this area, we demonstrate both the need for and usefulness of explicit many-body treatments for obtaining qualitative and quantitative accuracy for modelling molecular materials, with applications presented for small-molecule dimers, supramolecular host-guest complexes, and finally stability and polymorphism in molecular crystals.
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Affiliation(s)
- Anthony M Reilly
- The Cambridge Crystallographic Data Centre , 12 Union Road , Cambridge , CB2 1EZ , UK
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6 , Berlin 14195 , Germany . ; Tel: +49 3084134802
| | - Alexandre Tkatchenko
- Fritz-Haber-Institut der Max-Planck-Gesellschaft , Faradayweg 4-6 , Berlin 14195 , Germany . ; Tel: +49 3084134802
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34
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Schwarz KA, Sundararaman R, Arias TA. Computationally efficient dielectric calculations of molecular crystals. J Chem Phys 2015; 142:214101. [DOI: 10.1063/1.4921942] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
Affiliation(s)
- Kathleen A. Schwarz
- Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853, USA
| | | | - T. A. Arias
- Department of Physics, Cornell University, Ithaca, New York 14853, USA
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35
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The Ring and Exchange-Ring Approximations Based on Kohn–Sham Reference States. Top Curr Chem (Cham) 2014. [DOI: 10.1007/128_2014_557] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/18/2023]
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36
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Draxl C, Nabok D, Hannewald K. Organic/inorganic hybrid materials: challenges for ab initio methodology. Acc Chem Res 2014; 47:3225-32. [PMID: 25171272 DOI: 10.1021/ar500096q] [Citation(s) in RCA: 38] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
CONSPECTUS: Organic/inorganic hybrid structures are most exciting since one can expect new properties that are absent in either of their building blocks. They open new perspectives toward the design and tailoring of materials with desired features and functions. Prerequisite for real progress is, however, the in-depth understanding of what happens on the atomic and electronic scale. In this respect, hybrid materials pose a challenge for electronic-structure theory. Methods that proved useful for describing one side may not be applicable for the other one, and they are likely to fail for the interfaces. In this Account, we address the question to what extent we can quantitatively describe hybrid materials and where we even miss a qualitative description. We note that we are dealing with extended systems and thus adopt a solid-state approach. Therefore, density-functional theory (DFT) and many-body perturbation theory (MBPT), the GW approach for charged and the Bethe-Salpeter equation for neutral excitations, are our methods of choice. We give a brief summary of the used methodology, focusing on those aspects where problems can be expected when materials of different character meet at an interface. These issues are then taken up when discussing hybrid materials. We argue when and why, for example, standard DFT may fall short when it comes to the electronic structure of organic/metal interfaces or where the framework of MBPT can or must take over. Selected examples of organic/inorganic interfaces, structural properties, electronic bands, optical excitation spectra, and charge-transport properties as obtained from DFT and MBPT highlight which properties can be reliably computed for such materials. The crucial role of van der Waals forces is shown for sexiphenyl films, where the subtle interplay between intermolecular and molecule-substrate interactions is decisive for growth and morphologies. With a PTCDA monolayer on metal surfaces we discuss the performance of DFT in terms of interfacial electronic structure. We face the problem of a so far hidden variable, namely, electron-vibrational coupling, regarding level alignment at interfaces between organic and inorganic semiconductors. Poly(para-phenylene) adsorbed on graphene and encapsulated in carbon nanotubes represent case studies to demonstrate the impact of polarization effects and exciton delocalization in optoelectronic excitations, respectively. Polaron-induced band narrowing and its consequences for charge transport in organic crystals is exemplified for the HOMO bandwidth in naphthalene crystals. On the basis of these prototypical systems, we discuss what is missing to reach predictive power on a quantitative level for organic/inorganic hybrid materials and, thus, open a perspective toward the computational discovery of new materials for optoelectronic applications.
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Affiliation(s)
- Claudia Draxl
- Physics Department and IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen
Windkanal 6, D-12489 Berlin, Germany
| | - Dmitrii Nabok
- Physics Department and IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen
Windkanal 6, D-12489 Berlin, Germany
| | - Karsten Hannewald
- Physics Department and IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen
Windkanal 6, D-12489 Berlin, Germany
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37
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Sharkas K, Toulouse J, Maschio L, Civalleri B. Double-hybrid density-functional theory applied to molecular crystals. J Chem Phys 2014; 141:044105. [DOI: 10.1063/1.4890439] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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38
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Grabowski I, Fabiano E, Teale AM, Śmiga S, Buksztel A, Sala FD. Orbital-dependent second-order scaled-opposite-spin correlation functionals in the optimized effective potential method. J Chem Phys 2014; 141:024113. [DOI: 10.1063/1.4887097] [Citation(s) in RCA: 32] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
Affiliation(s)
- Ireneusz Grabowski
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland
| | - Eduardo Fabiano
- National Nanotechnology Laboratory, Istituto Nanoscienze–CNR, Via per Arnesano, I-73100 Lecce, Italy
| | - Andrew M. Teale
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Szymon Śmiga
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland
| | - Adam Buksztel
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland
| | - Fabio Della Sala
- National Nanotechnology Laboratory, Istituto Nanoscienze–CNR, Via per Arnesano, I-73100 Lecce, Italy
- Center for Biomolecular Nanotechnologies @UNILE, Istituto Italiano di Tecnologia (IIT), Via Barsanti, 73010 Arnesano (LE), Italy
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39
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DiStasio RA, Gobre VV, Tkatchenko A. Many-body van der Waals interactions in molecules and condensed matter. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:213202. [PMID: 24805055 DOI: 10.1088/0953-8984/26/21/213202] [Citation(s) in RCA: 88] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/09/2023]
Abstract
This work reviews the increasing evidence that many-body van der Waals (vdW) or dispersion interactions play a crucial role in the structure, stability and function of a wide variety of systems in biology, chemistry and physics. Starting with the exact expression for the electron correlation energy provided by the adiabatic connection fluctuation-dissipation theorem, we derive both pairwise and many-body interatomic methods for computing the long-range dispersion energy by considering a model system of coupled quantum harmonic oscillators within the random-phase approximation. By coupling this approach to density functional theory, the resulting many-body dispersion (MBD) method provides an accurate and efficient scheme for computing the frequency-dependent polarizability and many-body vdW energy in molecules and materials with a finite electronic gap. A select collection of applications are presented that ascertain the fundamental importance of these non-bonded interactions across the spectrum of intermolecular (the S22 and S66 benchmark databases), intramolecular (conformational energies of alanine tetrapeptide) and supramolecular (binding energy of the 'buckyball catcher') complexes, as well as molecular crystals (cohesive energies in oligoacenes). These applications demonstrate that electrodynamic response screening and beyond-pairwise many-body vdW interactions--both captured at the MBD level of theory--play a quantitative, and sometimes even qualitative, role in describing the properties considered herein. This work is then concluded with an in-depth discussion of the challenges that remain in the future development of reliable (accurate and efficient) methods for treating many-body vdW interactions in complex materials and provides a roadmap for navigating many of the research avenues that are yet to be explored.
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Affiliation(s)
- Robert A DiStasio
- Department of Chemistry, Princeton University, Princeton, NJ 08544, USA
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Rocca D. Random-phase approximation correlation energies from Lanczos chains and an optimal basis set: Theory and applications to the benzene dimer. J Chem Phys 2014; 140:18A501. [DOI: 10.1063/1.4849416] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
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41
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Lu D. Evaluation of model exchange-correlation kernels in the adiabatic connection fluctuation-dissipation theorem for inhomogeneous systems. J Chem Phys 2014; 140:18A520. [DOI: 10.1063/1.4867538] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Mussard B, Szalay PG, Ángyán JG. Analytical Energy Gradients in Range-Separated Hybrid Density Functional Theory with Random Phase Approximation. J Chem Theory Comput 2014; 10:1968-79. [DOI: 10.1021/ct401044h] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Bastien Mussard
- CRM2,
Institut Jean Barriol, Université de Lorraine, F-54506 Vandœuvre-lès-Nancy, France
| | - Péter G. Szalay
- Institute
of Chemistry, Eötvös Loránd University, H-1518 Budapest, P.O. Box 32, Hungary
| | - János G. Ángyán
- CRM2,
Institut Jean Barriol, Université de Lorraine, F-54506 Vandœuvre-lès-Nancy, France
- CRM2,
Institut Jean Barriol, CNRS, F-54506 Vandœuvre-lès-Nancy, France
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43
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Linear Scaling Solution of the Time-Dependent Self-Consistent-Field Equations. COMPUTATION 2014. [DOI: 10.3390/computation2010001] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Wang G, Kan Y, Geng Y, Duan Y, Wang L, Wu H, Dong X, Su Z. Theoretical study on the transport properties of oligothiophene–diketopyrrolopyrrole derivatives: quinoidal versus aromatic. Theor Chem Acc 2014. [DOI: 10.1007/s00214-014-1453-1] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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45
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Santra B, Klimeš J, Tkatchenko A, Alfè D, Slater B, Michaelides A, Car R, Scheffler M. On the accuracy of van der Waals inclusive density-functional theory exchange-correlation functionals for ice at ambient and high pressures. J Chem Phys 2013; 139:154702. [DOI: 10.1063/1.4824481] [Citation(s) in RCA: 110] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
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Tkatchenko A, Ambrosetti A, DiStasio RA. Interatomic methods for the dispersion energy derived from the adiabatic connection fluctuation-dissipation theorem. J Chem Phys 2013; 138:074106. [PMID: 23444996 DOI: 10.1063/1.4789814] [Citation(s) in RCA: 85] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Interatomic pairwise methods are currently among the most popular and accurate ways to include dispersion energy in density functional theory calculations. However, when applied to more than two atoms, these methods are still frequently perceived to be based on ad hoc assumptions, rather than a rigorous derivation from quantum mechanics. Starting from the adiabatic connection fluctuation-dissipation (ACFD) theorem, an exact expression for the electronic exchange-correlation energy, we demonstrate that the pairwise interatomic dispersion energy for an arbitrary collection of isotropic polarizable dipoles emerges from the second-order expansion of the ACFD formula upon invoking the random-phase approximation (RPA) or the full-potential approximation. Moreover, for a system of quantum harmonic oscillators coupled through a dipole-dipole potential, we prove the equivalence between the full interaction energy obtained from the Hamiltonian diagonalization and the ACFD-RPA correlation energy. This property makes the Hamiltonian diagonalization an efficient method for the calculation of the many-body dispersion energy. In addition, we show that the switching function used to damp the dispersion interaction at short distances arises from a short-range screened Coulomb potential, whose role is to account for the spatial spread of the individual atomic dipole moments. By using the ACFD formula, we gain a deeper understanding of the approximations made in the interatomic pairwise approaches, providing a powerful formalism for further development of accurate and efficient methods for the calculation of the dispersion energy.
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Affiliation(s)
- Alexandre Tkatchenko
- Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany
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47
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Sancho-García JC, Aragó J, Ortí E, Olivier Y. Obtaining the lattice energy of the anthracene crystal by modern yet affordable first-principles methods. J Chem Phys 2013; 138:204304. [DOI: 10.1063/1.4806436] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023] Open
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48
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Del Ben M, Hutter J, VandeVondele J. Electron Correlation in the Condensed Phase from a Resolution of Identity Approach Based on the Gaussian and Plane Waves Scheme. J Chem Theory Comput 2013; 9:2654-71. [DOI: 10.1021/ct4002202] [Citation(s) in RCA: 100] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Mauro Del Ben
- Institute of Physical Chemistry, University of Zürich, Winterthurerstrasse 190,
CH-8057 Zürich, Switzerland
| | - Jürg Hutter
- Institute of Physical Chemistry, University of Zürich, Winterthurerstrasse 190,
CH-8057 Zürich, Switzerland
| | - Joost VandeVondele
- Department
of Materials, ETH Zürich, Wolfgang-Pauli-Strasse 27, CH-8093 Zürich, Switzerland
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Yedukondalu N, Ghule VD, Vaitheeswaran G. Pressure induced structural phase transition in solid oxidizer KClO3: A first-principles study. J Chem Phys 2013; 138:174701. [DOI: 10.1063/1.4802722] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
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50
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Klimeš J, Michaelides A. Perspective: Advances and challenges in treating van der Waals dispersion forces in density functional theory. J Chem Phys 2013; 137:120901. [PMID: 23020317 DOI: 10.1063/1.4754130] [Citation(s) in RCA: 595] [Impact Index Per Article: 54.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Abstract
Electron dispersion forces play a crucial role in determining the structure and properties of biomolecules, molecular crystals, and many other systems. However, an accurate description of dispersion is highly challenging, with the most widely used electronic structure technique, density functional theory (DFT), failing to describe them with standard approximations. Therefore, applications of DFT to systems where dispersion is important have traditionally been of questionable accuracy. However, the last decade has seen a surge of enthusiasm in the DFT community to tackle this problem and in so-doing to extend the applicability of DFT-based methods. Here we discuss, classify, and evaluate some of the promising schemes to emerge in recent years. A brief perspective on the outstanding issues that remain to be resolved and some directions for future research are also provided.
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Affiliation(s)
- Jirí Klimeš
- Thomas Young Centre, London Centre for Nanotechnology and Department of Chemistry, University College London, London WC1E 6BT, United Kingdom
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