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Belleflamme F, Hehn AS, Iannuzzi M, Hutter J. A variational formulation of the Harris functional as a correction to approximate Kohn-Sham density functional theory. J Chem Phys 2023; 158:054111. [PMID: 36754794 DOI: 10.1063/5.0122671] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023] Open
Abstract
Accurate descriptions of intermolecular interactions are of great importance in simulations of molecular liquids. We present an electronic structure method that combines the accuracy of the Harris functional approach with the computational efficiency of approximately linear-scaling density functional theory (DFT). The non-variational nature of the Harris functional has been addressed by constructing a Lagrangian energy functional, which restores the variational condition by imposing stationarity with respect to the reference density. The associated linear response equations may be treated with linear-scaling efficiency in an atomic orbital based scheme. Key ingredients to describe the structural and dynamical properties of molecular systems are the forces acting on the atoms and the stress tensor. These first-order derivatives of the Harris Lagrangian have been derived and implemented in consistence with the energy correction. The proposed method allows for simulations with accuracies close to the Kohn-Sham DFT reference. Embedded in the CP2K program package, the method is designed to enable ab initio molecular dynamics simulations of molecular solutions for system sizes of several thousand atoms. Available subsystem DFT methods may be used to provide the reference density required for the energy correction at near linear-scaling efficiency. As an example of production applications, we applied the method to molecular dynamics simulations of the binary mixtures cyclohexane-methanol and toluene-methanol, performed within the isobaric-isothermal ensemble, to investigate the hydrogen bonding network in these non-ideal mixtures.
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Affiliation(s)
- Fabian Belleflamme
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
| | - Anna-Sophia Hehn
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
| | - Marcella Iannuzzi
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
| | - Jürg Hutter
- Department of Chemistry, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
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2
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Niemeyer N, Eschenbach P, Bensberg M, Tölle J, Hellmann L, Lampe L, Massolle A, Rikus A, Schnieders D, Unsleber JP, Neugebauer J. The subsystem quantum chemistry program
Serenity. WIRES COMPUTATIONAL MOLECULAR SCIENCE 2022. [DOI: 10.1002/wcms.1647] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Niklas Niemeyer
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Patrick Eschenbach
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Moritz Bensberg
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Johannes Tölle
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Lars Hellmann
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Lukas Lampe
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Anja Massolle
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Anton Rikus
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - David Schnieders
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
| | - Jan P. Unsleber
- Laboratorium für Physikalische Chemie ETH Zürich Zürich Switzerland
| | - Johannes Neugebauer
- Theoretische Organische Chemie, Organisch‐Chemisches Institut and Center for Multiscale Theory and Computation Westfälische Wilhelms‐Universität Münster Münster Germany
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3
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Sen R, González-Espinoza CE, Zech A, Dreuw A, Wesolowski TA. Benchmark of the Extension of Frozen-Density Embedding Theory to Nonvariational Correlated Methods: The Embedded-MP2 Case. J Chem Theory Comput 2021; 17:4049-4062. [PMID: 34137597 DOI: 10.1021/acs.jctc.1c00228] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The extension of the frozen-density embedding theory for nonvariational methods [J. Chem. Theory Comput. 2020, 16, 6880] was utilized to evaluate intermolecular interaction energies for complexes in the Zhao-Truhlar basis set. In the applied method (FDET-MP2-FAT-LDA), the same auxiliary system is used to evaluate the correlation energy by means of the second-order Møller-Plesset perturbation theory (MP2), as in our previous work [J. Chem. Phys. 2019, 150, 121101]. Local density approximation is used for ExcTnad[ρA,ρB] in both cases. Additionally, the contribution to the energy due to the neglected correlation potential was evaluated and analyzed. The domain of applicability of the local density approximation for ExcTnad[ρA,ρB] was determined based on deviations from the interaction energies from the conventional MP2 calculations. The local density approximation for ExcTnad[ρA,ρB] performs well for hydrogen- or dipole-bound complexes. The relative errors in the interaction energy lie within 3-30%. While for charge-transfer complexes, this approximation fails consistently, and for other types of complexes, the performance of this approximation is not systematic. The sources of error are discussed in detail.
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Affiliation(s)
- Reena Sen
- Interdisciplinary Center for Scientific Computing, Ruprecht-Karls University Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
| | | | - Alexander Zech
- Department of Physical Chemistry, University of Geneva, 30, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, Ruprecht-Karls University Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
| | - Tomasz A Wesolowski
- Department of Physical Chemistry, University of Geneva, 30, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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4
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Mroginski MA, Adam S, Amoyal GS, Barnoy A, Bondar AN, Borin VA, Church JR, Domratcheva T, Ensing B, Fanelli F, Ferré N, Filiba O, Pedraza-González L, González R, González-Espinoza CE, Kar RK, Kemmler L, Kim SS, Kongsted J, Krylov AI, Lahav Y, Lazaratos M, NasserEddin Q, Navizet I, Nemukhin A, Olivucci M, Olsen JMH, Pérez de Alba Ortíz A, Pieri E, Rao AG, Rhee YM, Ricardi N, Sen S, Solov'yov IA, De Vico L, Wesolowski TA, Wiebeler C, Yang X, Schapiro I. Frontiers in Multiscale Modeling of Photoreceptor Proteins. Photochem Photobiol 2021; 97:243-269. [PMID: 33369749 DOI: 10.1111/php.13372] [Citation(s) in RCA: 21] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2020] [Accepted: 11/01/2020] [Indexed: 02/06/2023]
Abstract
This perspective article highlights the challenges in the theoretical description of photoreceptor proteins using multiscale modeling, as discussed at the CECAM workshop in Tel Aviv, Israel. The participants have identified grand challenges and discussed the development of new tools to address them. Recent progress in understanding representative proteins such as green fluorescent protein, photoactive yellow protein, phytochrome, and rhodopsin is presented, along with methodological developments.
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Affiliation(s)
| | - Suliman Adam
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Gil S Amoyal
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Avishai Barnoy
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Ana-Nicoleta Bondar
- Freie Universität Berlin, Department of Physics, Theoretical Molecular Biophysics Group, Berlin, Germany
| | - Veniamin A Borin
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Jonathan R Church
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Tatiana Domratcheva
- Department of Chemistry, Lomonosov Moscow State University, Moscow, Russia.,Department Biomolecular Mechanisms, Max Planck Institute for Medical Research, Heidelberg, Germany
| | - Bernd Ensing
- Van 't Hoff Institute for Molecular Science and Amsterdam Center for Multiscale Modeling, University of Amsterdam, Amsterdam, The Netherlands
| | - Francesca Fanelli
- Department of Life Sciences, Center for Neuroscience and Neurotechnology, Università degli Studi di Modena e Reggio Emilia, Modena, Italy
| | | | - Ofer Filiba
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Laura Pedraza-González
- Department of Biotechnology, Chemistry and Pharmacy, Università degli Studi di Siena, Siena, Italy
| | - Ronald González
- Institut für Chemie, Technische Universität Berlin, Berlin, Germany
| | | | - Rajiv K Kar
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Lukas Kemmler
- Freie Universität Berlin, Department of Physics, Theoretical Molecular Biophysics Group, Berlin, Germany
| | - Seung Soo Kim
- Department of Chemistry, Korea Advanced Institute of Science and Technology, Daejeon, Korea
| | - Jacob Kongsted
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Odense, Denmark
| | - Anna I Krylov
- Department of Chemistry, University of Southern California, Los Angeles, CA, USA
| | - Yigal Lahav
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel.,MIGAL - Galilee Research Institute, S. Industrial Zone, Kiryat Shmona, Israel
| | - Michalis Lazaratos
- Freie Universität Berlin, Department of Physics, Theoretical Molecular Biophysics Group, Berlin, Germany
| | - Qays NasserEddin
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Isabelle Navizet
- MSME, Univ Gustave Eiffel, CNRS UMR 8208, Univ Paris Est Creteil, Marne-la-Vallée, France
| | - Alexander Nemukhin
- Department of Chemistry, Lomonosov Moscow State University, Moscow, Russia.,Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Moscow, Russia
| | - Massimo Olivucci
- Department of Biotechnology, Chemistry and Pharmacy, Università degli Studi di Siena, Siena, Italy.,Chemistry Department, Bowling Green State University, Bowling Green, OH, USA
| | - Jógvan Magnus Haugaard Olsen
- Department of Chemistry, Aarhus University, Aarhus, Denmark.,Department of Chemistry, Hylleraas Centre for Quantum Molecular Sciences, UiT The Arctic University of Norway, Tromsø, Norway
| | - Alberto Pérez de Alba Ortíz
- Van 't Hoff Institute for Molecular Science and Amsterdam Center for Multiscale Modeling, University of Amsterdam, Amsterdam, The Netherlands
| | - Elisa Pieri
- Aix-Marseille Univ, CNRS, ICR, Marseille, France
| | - Aditya G Rao
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Young Min Rhee
- Department of Chemistry, Korea Advanced Institute of Science and Technology, Daejeon, Korea
| | - Niccolò Ricardi
- Département de Chimie Physique, Université de Genève, Genève, Switzerland
| | - Saumik Sen
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Ilia A Solov'yov
- Department of Physics, Carl von Ossietzky University Oldenburg, Oldenburg, Germany
| | - Luca De Vico
- Department of Biotechnology, Chemistry and Pharmacy, Università degli Studi di Siena, Siena, Italy
| | | | - Christian Wiebeler
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
| | - Xuchun Yang
- Chemistry Department, Bowling Green State University, Bowling Green, OH, USA
| | - Igor Schapiro
- Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, Israel
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5
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Ricardi N, Ernst M, Macchi P, Wesolowski TA. Embedding-theory-based simulations using experimental electron densities for the environment. Acta Crystallogr A Found Adv 2020; 76:571-579. [PMID: 32869754 PMCID: PMC7459768 DOI: 10.1107/s2053273320008062] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/05/2020] [Accepted: 06/16/2020] [Indexed: 11/26/2022] Open
Abstract
The basic idea of frozen-density embedding theory (FDET) is the constrained minimization of the Hohenberg-Kohn density functional EHK[ρ] performed using the auxiliary functional E_{v_{AB}}^{\rm FDET}[\Psi _A, \rho _B], where ΨA is the embedded NA-electron wavefunction and ρB(r) is a non-negative function in real space integrating to a given number of electrons NB. This choice of independent variables in the total energy functional E_{v_{AB}}^{\rm FDET}[\Psi _A, \rho _B] makes it possible to treat the corresponding two components of the total density using different methods in multi-level simulations. The application of FDET using ρB(r) reconstructed from X-ray diffraction data for a molecular crystal is demonstrated for the first time. For eight hydrogen-bonded clusters involving a chromophore (represented as ΨA) and the glycylglycine molecule [represented as ρB(r)], FDET is used to derive excitation energies. It is shown that experimental densities are suitable for use as ρB(r) in FDET-based simulations.
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Affiliation(s)
- Niccolò Ricardi
- Department of Physical Chemistry, University of Geneva, 30, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
| | - Michelle Ernst
- University of Bern, Freiestraße 3, 3012 Bern, Switzerland
| | - Piero Macchi
- Department of Chemistry, Materials and Chemical Engineering, Polytechnic of Milan, via Mancinelli 7, Milano 20131, Italy
| | - Tomasz Adam Wesolowski
- Department of Physical Chemistry, University of Geneva, 30, Quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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