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Jessen LM, Sauer SPA. On the performance of HRPA(D) for NMR spin-spin coupling constants: Smaller molecules, aromatic and fluoroaromatic compounds. J Chem Phys 2024; 160:064102. [PMID: 38341775 DOI: 10.1063/5.0189932] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2023] [Accepted: 01/15/2024] [Indexed: 02/13/2024] Open
Abstract
In this study, the performance of the doubles-corrected higher random-phase approximation [HRPA(D)] has been investigated in calculations of nuclear magnetic resonance spin-spin coupling constants (SSCCs) for 58 molecules with the experimental values used as the reference values. HRPA(D) is an approximation to the second-order polarization propagator approximation (SOPPA) and is, therefore, computationally less expensive than SOPPA. HRPA(D) performs comparable and sometimes even better than SOPPA, and therefore, when calculating SSCCs, it should be considered as an alternative to SOPPA. Furthermore, it was investigated whether a coupled-cluster singles, doubles and perturbative triples [CCSD(T)] or Møller-Plesset second order (MP2) geometry optimization was optimal for a SOPPA and a HRPA(D) SSCC calculation for eight smaller molecules. CCSD(T) is the optimal geometry optimization for the SOPPA calculation, and MP2 was optimal for HRPA(D) SSCC calculations.
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Affiliation(s)
- Louise Møller Jessen
- Department of Chemistry, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark
| | - Stephan P A Sauer
- Department of Chemistry, University of Copenhagen, DK-2100 Copenhagen Ø, Denmark
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Schnack-Petersen AK, Haase PAB, Faber R, Provasi PF, Sauer SPA. RPA(D) and HRPA(D): Two new models for calculations of NMR indirect nuclear spin-spin coupling constants. J Comput Chem 2019; 39:2647-2666. [PMID: 30515901 DOI: 10.1002/jcc.25712] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2018] [Revised: 08/26/2018] [Accepted: 09/23/2018] [Indexed: 01/21/2023]
Abstract
In this article, the RPA(D) and HRPA(D) models for the calculation of linear response functions are presented. The performance of the new RPA(D) and HRPA(D) models is compared to the performance of the established RPA, HRPA, and SOPPA models in calculations of indirect nuclear spin-spin coupling constants using the CCSD model as a reference. The doubles correction offers a significant improvement on both the RPA and HRPA models; however, the improvement is more dramatic in the case of the RPA model. For all coupling types investigated in this study, the results obtained using the HRPA(D) model are comparable in accuracy to those given by the SOPPA model, while requiring between 30% and 90% of the calculation time needed for SOPPA. The RPA(D) model, while of slightly lower accuracy compared to the CCSD model than HRPA(D), offered calculation times of only approximately 25% of those required for SOPPA for all the investigated molecules. © 2018 Wiley Periodicals, Inc.
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Affiliation(s)
| | - Pi A B Haase
- Van Swinderen Institute, University of Groningen, Groningen, The Netherlands
| | - Rasmus Faber
- Department of Chemistry, Technical University of Denmark, Kgs. Lyngby, Denmark
| | - Patricio F Provasi
- Department of Physics-IMIT, Northeastern University-CONICET, Corrientes, Argentina
| | - Stephan P A Sauer
- Department of Chemistry, University of Copenhagen, Copenhagen, Denmark
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Pagola GI, Larsen MAB, Ferraro M, Sauer SPA. The influence of relativistic effects on nuclear magnetic resonance spin-spin coupling constant polarizabilities of H2O2, H2S2, H2Se2, and H2Te2. J Comput Chem 2018; 39:2589-2600. [DOI: 10.1002/jcc.25648] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2018] [Revised: 09/18/2018] [Accepted: 09/19/2018] [Indexed: 12/23/2022]
Affiliation(s)
- Gabriel I. Pagola
- Departamento de Física, Facultad de Ciencias Exactas y Naturales; Universidad de Buenos Aires and IFIBA, CONICET, Ciudad Universitaria; Pabellón 1, (1428) Buenos Aires Argentina
| | - Martin A. B. Larsen
- Department of Chemistry; University of Copenhagen; Universitetsparken 5, DK-2100 Copenhagen Ø Denmark
| | - Marta Ferraro
- Departamento de Física, Facultad de Ciencias Exactas y Naturales; Universidad de Buenos Aires and IFIBA, CONICET, Ciudad Universitaria; Pabellón 1, (1428) Buenos Aires Argentina
| | - Stephan P. A. Sauer
- Department of Chemistry; University of Copenhagen; Universitetsparken 5, DK-2100 Copenhagen Ø Denmark
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Faber R, Sauer SPA. On the convergence of the ccJ-pVXZ and pcJ-n basis sets in CCSD calculations of nuclear spin–spin coupling constants: some difficult cases. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2217-0] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Faber R, Sauer SPA, Gauss J. Importance of Triples Contributions to NMR Spin-Spin Coupling Constants Computed at the CC3 and CCSDT Levels. J Chem Theory Comput 2017; 13:696-709. [PMID: 27992184 DOI: 10.1021/acs.jctc.6b01003] [Citation(s) in RCA: 38] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present the first analytical implementation of CC3 second derivatives using the spin-unrestricted approach. This allows, for the first time, the calculation of nuclear spin-spin coupling constants (SSCC) relevant to NMR spectroscopy at the CC3 level of theory in a fully analytical manner. CC3 results for the SSCCs of a number of small molecules and their fluorine substituted derivatives are compared with the corresponding coupled cluster singles and doubles (CCSD) results obtained using specialized basis sets. For one-bond couplings the change when going from CCSD to CC3 is typically 1-3%, but much higher corrections were found for 1JCN in FCN, 15.7%, and 1JOF in OF2, 6.4%. The changes vary significantly in the case of multibond couplings, with differences of up to 10%, and even 13.6% for 3JFH in fluoroacetylene. Calculations at the coupled cluster singles, doubles, and triples (CCSDT) level indicate that the most important contributions arising from connected triple excitations in the coupled cluster expansion are accounted for at the CC3 level. Thus, we believe that the CC3 method will become the standard approach for the calculation of reference values of nuclear spin-spin coupling constants.
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Affiliation(s)
- Rasmus Faber
- Department of Chemistry, University of Copenhagen , Universitetsparken 5, 2100 Copenhagen Ø, Denmark
| | - Stephan P A Sauer
- Department of Chemistry, University of Copenhagen , Universitetsparken 5, 2100 Copenhagen Ø, Denmark
| | - Jürgen Gauss
- Institut für Physikalische Chemie, Universität Mainz , 55099 Mainz, Germany
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Lazzeretti P. Gauge invariance of the nuclear spin/electron orbit interaction and NMR spectral parameters. J Chem Phys 2012; 137:074108. [DOI: 10.1063/1.4745077] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Faber R, Sauer SPA. On the discrepancy between theory and experiment for the F–F spin–spin coupling constant of difluoroethyne. Phys Chem Chem Phys 2012; 14:16440-7. [DOI: 10.1039/c2cp42198d] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Benchmarking SOPPA(CC2) for the calculation of indirect nuclear spin–spin coupling constants: Carbocycles. Chem Phys 2011. [DOI: 10.1016/j.chemphys.2011.01.006] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Kjaer H, Sauer SPA, Kongsted J. Benchmarking NMR indirect nuclear spin-spin coupling constants: SOPPA, SOPPA(CC2), and SOPPA(CCSD) versus CCSD. J Chem Phys 2011; 133:144106. [PMID: 20949986 DOI: 10.1063/1.3483197] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Accurate calculations of NMR indirect nuclear spin-spin coupling constants require especially optimized basis sets and correlated wave function methods such as CCSD or SOPPA(CCSD). Both methods scale as N(6), where N is the number of orbitals, which prevents routine applications to molecules with more than 10-15 nonhydrogen atoms. We have therefore developed a modification of the SOPPA(CCSD) method in which the CCSD singles and doubles amplitudes are replaced by CC2 singles and doubles amplitudes. This new method, called SOPPA(CC2), scales only as N(5), like the original SOPPA-method. The performance of the SOPPA(CC2) method for the calculation of indirect nuclear spin-spin coupling constants is compared to SOPPA and SOPPA(CCSD) employing a set of benchmark molecules. We also investigate the basis set dependence by employing three different basis sets optimized for spin-spin coupling constants, namely the HuzIV-su4, ccJ-pVTZ, and ccJ-pVQZ basis sets. The results of the corresponding CCSD calculations are used as a theoretical reference.
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Affiliation(s)
- Hanna Kjaer
- Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark.
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WIGGLESWORTH RD, ODDERSHEDE WTRAYNESSPASAUERAJ. The calculation and analysis of isotope effects on the nuclear spinspin coupling constants of methane at various temperatures. Mol Phys 2010. [DOI: 10.1080/002689797170635] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Yachmenev A, Yurchenko SN, Paidarová I, Jensen P, Thiel W, Sauer SPA. Thermal averaging of the indirect nuclear spin-spin coupling constants of ammonia: The importance of the large amplitude inversion mode. J Chem Phys 2010; 132:114305. [DOI: 10.1063/1.3359850] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Møgelhøj A, Aidas K, Mikkelsen KV, Sauer SPA, Kongsted J. Prediction of spin-spin coupling constants in solution based on combined density functional theory/molecular mechanics. J Chem Phys 2009; 130:134508. [PMID: 19355752 DOI: 10.1063/1.3098255] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present theory and implementation of calculation of spin-spin coupling constants within combined quantum mechanics/molecular mechanics methods. Special attention is given to the role of explicit solvent polarization as well as the molecular consequences due to hydrogen bonding. The model is generally applicable but is here implemented for the case of density functional theory. First applications to liquid water and acetylene in aqueous solution are presented. Good agreement between theory and experiment is obtained in both cases, thereby showing the strength of our approach. Finally, spin-spin coupling constants across hydrogen bonds are discussed considering for the first time the role of an explicit solvent on this class of spin-spin couplings.
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Affiliation(s)
- Andreas Møgelhøj
- Department of Chemistry, H. C. Ørsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
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The Rotational g Tensor of HF, H2O, NH3, and CH4: A Comparison of Correlated Ab Initio Methods. ADVANCES IN QUANTUM CHEMISTRY 2005. [DOI: 10.1016/s0065-3276(05)48024-7] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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On the Usage of Locally Dense Basis Sets in the Calculation of NMR Indirect Nuclear Spin–Spin Coupling Constants: Vicinal Fluorine–Fluorine Couplings. ADVANCES IN QUANTUM CHEMISTRY 2005. [DOI: 10.1016/s0065-3276(05)48012-0] [Citation(s) in RCA: 59] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
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Ligabue A, Sauer SPA, Lazzeretti P. Correlated and gauge invariant calculations of nuclear magnetic shielding constants using the continuous transformation of the origin of the current density approach. J Chem Phys 2003. [DOI: 10.1063/1.1557918] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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The Effect of Substituents on Indirect Nuclear Spin-Spin Coupling Constants: Methan- and Ethanimine, Methanal- and Ethanaloxime. Int J Mol Sci 2003. [DOI: 10.3390/i4040231] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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Provasi PF, Aucar GA, Sauer SPA. The effect of lone pairs and electronegativity on the indirect nuclear spin–spin coupling constants in CH2X (X=CH2, NH, O, S):Ab initiocalculations using optimized contracted basis sets. J Chem Phys 2001. [DOI: 10.1063/1.1379331] [Citation(s) in RCA: 234] [Impact Index Per Article: 10.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Provasi PF, Aucar GA, Sauer SPA. The use of locally dense basis sets in the calculation of indirect nuclear spin–spin coupling constants: The vicinal coupling constants in H3C–CH2X (X=H, F, Cl, Br, I). J Chem Phys 2000. [DOI: 10.1063/1.481219] [Citation(s) in RCA: 79] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Sauer SP, Møller CK, Koch H, Paidarová I, Špirko V. The vibrational and temperature dependence of the indirect nuclear spin–spin coupling constants of the oxonium (H3O+) and hydroxyl (OH−) ions. Chem Phys 1998. [DOI: 10.1016/s0301-0104(98)00329-2] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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R. D. WIGGLESWORTH W. T. RAYNES S.. Calculated spin-spin coupling surfaces in the water molecule; prediction and analysis ofJ(O,H),J(O,D) andJ(H,D) in water isotopomers. Mol Phys 1998. [DOI: 10.1080/002689798167700] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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