Molecular NMR shieldings, J-couplings, and magnetizabilities from numeric atom-centered orbital based density-functional calculations
This paper reports and benchmarks a new implementation of nuclear magnetic resonance shieldings, magnetizabilities, and J -couplings for molecules within semilocal density functional theory, based on numeric atom-centered orbital (NAO) basis sets. NAO basis sets are attractive for the calculation of...
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Published in | Electronic structure Vol. 6; no. 2; pp. 27002 - 27026 |
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Main Authors | , , , , , , , |
Format | Journal Article |
Language | English |
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01.06.2024
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Abstract | This paper reports and benchmarks a new implementation of nuclear magnetic resonance shieldings, magnetizabilities, and J -couplings for molecules within semilocal density functional theory, based on numeric atom-centered orbital (NAO) basis sets. NAO basis sets are attractive for the calculation of these nuclear magnetic resonance (NMR) parameters because NAOs provide accurate atomic orbital representations especially near the nucleus, enabling high-quality results at modest computational cost. Moreover, NAOs are readily adaptable for linear scaling methods, enabling efficient calculations of large systems. The paper has five main parts: (1) It reviews the formalism of density functional calculations of NMR parameters in one comprehensive text to make the mathematical background available in a self-contained way. (2) The paper quantifies the attainable precision of NAO basis sets for shieldings in comparison to specialized Gaussian basis sets, showing similar performance for similar basis set size. (3) The paper quantifies the precision of calculated magnetizabilities, where the NAO basis sets appear to outperform several established Gaussian basis sets of similar size. (4) The paper quantifies the precision of computed J -couplings, for which a group of customized NAO basis sets achieves precision of ∼Hz for smaller basis set sizes than some established Gaussian basis sets. (5) The paper demonstrates that the implementation is applicable to systems beyond 1000 atoms in size. |
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AbstractList | This paper reports and benchmarks a new implementation of nuclear magnetic resonance shieldings, magnetizabilities, and J -couplings for molecules within semilocal density functional theory, based on numeric atom-centered orbital (NAO) basis sets. NAO basis sets are attractive for the calculation of these nuclear magnetic resonance (NMR) parameters because NAOs provide accurate atomic orbital representations especially near the nucleus, enabling high-quality results at modest computational cost. Moreover, NAOs are readily adaptable for linear scaling methods, enabling efficient calculations of large systems. The paper has five main parts: (1) It reviews the formalism of density functional calculations of NMR parameters in one comprehensive text to make the mathematical background available in a self-contained way. (2) The paper quantifies the attainable precision of NAO basis sets for shieldings in comparison to specialized Gaussian basis sets, showing similar performance for similar basis set size. (3) The paper quantifies the precision of calculated magnetizabilities, where the NAO basis sets appear to outperform several established Gaussian basis sets of similar size. (4) The paper quantifies the precision of computed J -couplings, for which a group of customized NAO basis sets achieves precision of ∼Hz for smaller basis set sizes than some established Gaussian basis sets. (5) The paper demonstrates that the implementation is applicable to systems beyond 1000 atoms in size. |
Author | Laasner, Raul Huhn, William P Theis, Thomas Warren, Warren S Mandzhieva, Iuliia Blum, Volker Yu, Victor Wen-zhe Colell, Johannes |
Author_xml | – sequence: 1 givenname: Raul orcidid: 0000-0002-9714-1189 surname: Laasner fullname: Laasner, Raul organization: Duke University Thomas Lord Department of Mechanical Engineering and Materials Science, Durham, NC 27708, United States of America – sequence: 2 givenname: Iuliia orcidid: 0000-0001-9154-9012 surname: Mandzhieva fullname: Mandzhieva, Iuliia organization: North Carolina State University Department of Chemistry, Raleigh, NC 27695, United States of America – sequence: 3 givenname: William P orcidid: 0000-0002-8815-4594 surname: Huhn fullname: Huhn, William P organization: Duke University Thomas Lord Department of Mechanical Engineering and Materials Science, Durham, NC 27708, United States of America – sequence: 4 givenname: Johannes surname: Colell fullname: Colell, Johannes organization: Duke University Department of Chemistry, Durham, NC 27708, United States of America – sequence: 5 givenname: Victor Wen-zhe orcidid: 0000-0002-6568-1244 surname: Yu fullname: Yu, Victor Wen-zhe organization: Duke University Thomas Lord Department of Mechanical Engineering and Materials Science, Durham, NC 27708, United States of America – sequence: 6 givenname: Warren S orcidid: 0000-0001-8458-2076 surname: Warren fullname: Warren, Warren S organization: Duke University Department of Physics, Durham, NC 27708, United States of America – sequence: 7 givenname: Thomas orcidid: 0000-0001-6779-9978 surname: Theis fullname: Theis, Thomas organization: University of North Carolina at Chapel Hill and North Carolina State University Joint Department of Biomedical Engineering, Raleigh, NC 27695, United States of America – sequence: 8 givenname: Volker orcidid: 0000-0001-8660-7230 surname: Blum fullname: Blum, Volker organization: Duke University Department of Chemistry, Durham, NC 27708, United States of America |
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Title | Molecular NMR shieldings, J-couplings, and magnetizabilities from numeric atom-centered orbital based density-functional calculations |
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