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Second-Order Dispersion Energy Based on Multireference Description of Monomers
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    Second-Order Dispersion Energy Based on Multireference Description of Monomers
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    Journal of Chemical Theory and Computation

    Cite this: J. Chem. Theory Comput. 2019, 15, 2, 1016–1027
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    https://doi.org/10.1021/acs.jctc.8b01058
    Published December 10, 2018
    Copyright © 2018 American Chemical Society

    Abstract

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    We propose a method for calculating a second-order dispersion energy for weakly interacting multireference systems in arbitrary electronic states. It is based on response properties obtained from extended random phase approximation equations. The introduced formalism is general and requires only one- and two-particle reduced density matrices of monomers. We combine the new method with either generalized valence bond perfect pairing (GVB) or complete active space (CAS) self-consistent field description of the interacting systems. In addition to a general scheme, three approximations, leading to significant reduction of the computational cost, are developed by exploiting Dyall partitioning of the monomer Hamiltonians. For model multireference systems (H2···H2 and Be···Be) the method is accurate, unlike its single-reference-based counterpart. Neither GVB nor CAS description of single-reference monomers improves the dispersion energy with respect to the Hartree–Fock-based results.

    Copyright © 2018 American Chemical Society

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    Supporting Information

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    The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acs.jctc.8b01058.

    • Specification of both the active space selected for CASSCF calculations and the number of geminals considered in the GVB wave function. Second-order dispersion energies and error statistics at the uncoupled, single-pole, semicoupled, and coupled levels of theory obtained with Hartree–Fock, GVB, and CAS reference functions in the aug-cc-pVXZ (X = D,T) basis set family for the beryllium dimer and dimers from the TK21 and A24 data sets. Box plots of errors in the calculated coupled dispersion energies with respect to coupled-cluster benchmark and errors in approximate dispersion energies with respect to the coupled dispersion energies (PDF)

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    Cited By

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    This article is cited by 21 publications.

    1. Agnieszka Krzemińska, Malgorzata Biczysko, Katarzyna Pernal, Michał Hapka. Anisole–Water and Anisole–Ammonia Complexes in Ground and Excited (S1) States: A Multiconfigurational Symmetry-Adapted Perturbation Theory (SAPT) Study. The Journal of Physical Chemistry A 2024, 128 (40) , 8816-8824. https://doi.org/10.1021/acs.jpca.4c04928
    2. Daria Drwal, Katarzyna Pernal, Ewa Pastorczak. Multireference Correlated Oscillator Strengths from Adiabatic Connection Approaches Based on Extended Random Phase Approximation. Journal of Chemical Theory and Computation 2024, 20 (9) , 3659-3668. https://doi.org/10.1021/acs.jctc.4c00103
    3. Paweł Tecmer, Marta Gałyńska, Lena Szczuczko, Katharina Boguslawski. Geminal-Based Strategies for Modeling Large Building Blocks of Organic Electronic Materials. The Journal of Physical Chemistry Letters 2023, 14 (44) , 9909-9917. https://doi.org/10.1021/acs.jpclett.3c02434
    4. Michał Hapka, Agnieszka Krzemińska, Marcin Modrzejewski, Michał Przybytek, Katarzyna Pernal. Efficient Calculation of the Dispersion Energy for Multireference Systems with Cholesky Decomposition: Application to Excited-State Interactions. The Journal of Physical Chemistry Letters 2023, 14 (30) , 6895-6903. https://doi.org/10.1021/acs.jpclett.3c01568
    5. Piotr S. Żuchowski, Robert Moszynski. Dispersion Energy from the Time-Independent Coupled-Cluster Polarization Propagator. Journal of Chemical Theory and Computation 2023, 19 (4) , 1177-1185. https://doi.org/10.1021/acs.jctc.2c00902
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    7. Piotr H. Kowalski, Agnieszka Krzemińska, Katarzyna Pernal, Ewa Pastorczak. Dispersion Interactions between Molecules in and out of Equilibrium Geometry: Visualization and Analysis. The Journal of Physical Chemistry A 2022, 126 (7) , 1312-1319. https://doi.org/10.1021/acs.jpca.2c00004
    8. Michał Hapka, Michał Przybytek, Katarzyna Pernal. Symmetry-Adapted Perturbation Theory Based on Multiconfigurational Wave Function Description of Monomers. Journal of Chemical Theory and Computation 2021, 17 (9) , 5538-5555. https://doi.org/10.1021/acs.jctc.1c00344
    9. Monika Kodrycka, Konrad Patkowski. Efficient Density-Fitted Explicitly Correlated Dispersion and Exchange Dispersion Energies. Journal of Chemical Theory and Computation 2021, 17 (3) , 1435-1456. https://doi.org/10.1021/acs.jctc.0c01158
    10. Michał Hapka, Agnieszka Krzemińska, Katarzyna Pernal. How Much Dispersion Energy Is Included in the Multiconfigurational Interaction Energy?. Journal of Chemical Theory and Computation 2020, 16 (10) , 6280-6293. https://doi.org/10.1021/acs.jctc.0c00681
    11. Michał Hapka, Michał Przybytek, Katarzyna Pernal. Second-Order Exchange-Dispersion Energy Based on a Multireference Description of Monomers. Journal of Chemical Theory and Computation 2019, 15 (12) , 6712-6723. https://doi.org/10.1021/acs.jctc.9b00925
    12. Filip Brzęk, Katharina Boguslawski, Paweł Tecmer, Piotr Szymon Żuchowski. Benchmarking the Accuracy of Seniority-Zero Wave Function Methods for Noncovalent Interactions. Journal of Chemical Theory and Computation 2019, 15 (7) , 4021-4035. https://doi.org/10.1021/acs.jctc.9b00189
    13. Katarzyna M. Krupka, Agnieszka Krzemińska, María Pilar de Lara-Castells. A practical post-Hartree-Fock approach describing open-shell metal cluster-support interactions. Application to Cu 3 adsorption on benzene/coronene. RSC Advances 2024, 14 (43) , 31348-31359. https://doi.org/10.1039/D4RA05401F
    14. María Pilar de Lara‐Castells. An Ab Initio Journey toward the Molecular‐Level Understanding and Predictability of Subnanometric Metal Clusters. Small Structures 2024, 118 https://doi.org/10.1002/sstr.202400147
    15. Matthias Loipersberger, Fionn D. Malone, Alicia R. Welden, Robert M. Parrish, Thomas Fox, Matthias Degroote, Elica Kyoseva, Nikolaj Moll, Raffaele Santagati, Michael Streif. Accurate non-covalent interaction energies on noisy intermediate-scale quantum computers via second-order symmetry-adapted perturbation theory. Chemical Science 2023, 14 (13) , 3587-3599. https://doi.org/10.1039/D2SC05896K
    16. Paweł Tecmer, Katharina Boguslawski. Geminal-based electronic structure methods in quantum chemistry. Toward a geminal model chemistry. Physical Chemistry Chemical Physics 2022, 24 (38) , 23026-23048. https://doi.org/10.1039/D2CP02528K
    17. Krzysztof Szalewicz, Bogumił Jeziorski. Physical mechanisms of intermolecular interactions from symmetry-adapted perturbation theory. Journal of Molecular Modeling 2022, 28 (9) https://doi.org/10.1007/s00894-022-05190-z
    18. Michał Hapka, Katarzyna Pernal, Hans Jørgen Aa. Jensen. An efficient implementation of time-dependent linear-response theory for strongly orthogonal geminal wave function models. The Journal of Chemical Physics 2022, 156 (17) https://doi.org/10.1063/5.0082155
    19. Javier Garcia, Rafał Podeszwa, Krzysztof Szalewicz. SAPT codes for calculations of intermolecular interaction energies. The Journal of Chemical Physics 2020, 152 (18) https://doi.org/10.1063/5.0005093
    20. Konrad Patkowski. Recent developments in symmetry‐adapted perturbation theory. WIREs Computational Molecular Science 2020, 10 (3) https://doi.org/10.1002/wcms.1452
    21. Michał Hapka, Marcin Modrzejewski, Grzegorz Chałasiński, Małgorzata M. Szczęśniak. Assessment of SAPT(DFT) with meta-GGA functionals. Journal of Molecular Modeling 2020, 26 (5) https://doi.org/10.1007/s00894-020-4340-9

    Journal of Chemical Theory and Computation

    Cite this: J. Chem. Theory Comput. 2019, 15, 2, 1016–1027
    Click to copy citationCitation copied!
    https://doi.org/10.1021/acs.jctc.8b01058
    Published December 10, 2018
    Copyright © 2018 American Chemical Society

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