1
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Parsons T, Balduf T, Caricato M. On the choice of coordinate origin in length gauge optical rotation calculations. Chirality 2023; 35:708-717. [PMID: 37137811 DOI: 10.1002/chir.23575] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/19/2023] [Accepted: 04/11/2023] [Indexed: 05/05/2023]
Abstract
In this work, we explore the issue of origin dependence in optical rotation (OR) calculations in the length dipole gauge (LG) using standard approximate methods belonging to density functional theory (DFT) and coupled cluster (CC) theory. We use the origin-invariant LG approach, LG(OI), that we recently proposed as reference for the calculations, and we study whether a proper choice of coordinate origin and molecular orientation can be made such that diagonal elements of the LG-OR tensor match those of the LG(OI) tensor. Using a numerical search algorithm, we show that multiple spatial orientations can be found where the LG and LG(OI) results match. However, a simple analytical procedure provides a spatial orientation where the origin of the coordinate system is close to the center of mass of the molecule. At the same time, we also show that putting the origin at the center of mass is not an ideal choice for every molecule (relative errors in the OR up to 70% can be obtained in out test set). Finally, we show that the choice of coordinate origin based on the analytical procedure is transferable across different methods and it is superior to putting the origin in the center of mass or center of nuclear charge. This is important because the LG(OI) approach is trivial to implement for DFT, but not necessarily for nonvariational methods in the CC family. Therefore, one can determine an optimal coordinate origin at DFT level and use it for standard LG-CC response calculations.
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Affiliation(s)
- Taylor Parsons
- Department of Chemistry, University of Kansas, Lawrence, Kansas, USA
| | - Ty Balduf
- Department of Chemistry, University of Kansas, Lawrence, Kansas, USA
| | - Marco Caricato
- Department of Chemistry, University of Kansas, Lawrence, Kansas, USA
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2
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Parsons T, Balduf T, Cheeseman JR, Caricato M. Basis Set Dependence of Optical Rotation Calculations with Different Choices of Gauge. J Phys Chem A 2022; 126:1861-1870. [PMID: 35271772 DOI: 10.1021/acs.jpca.2c00201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
In this work, the basis set dependence of optical rotation (OR) calculations is examined for various choices of gauge/level of theory. The OR is calculated for a set of 50 molecules using B3LYP and CAM-B3LYP and 17 molecules using coupled cluster with single and double excitations (CCSD). The calculations employ the correlation-consistent basis sets, aug-cc-pVζZ with ζ = D, T, Q. An inverse-power extrapolation formula is then utilized to obtain OR values at the complete basis set (CBS) limit. We investigate the basis set convergence for these methods and three choices of gauge: length gauge (with gauge-including atomic orbitals, LG(GIAOs), for DFT), the origin-invariant length gauge [LG(OI)], and the modified velocity gauge (MVG). The results show that all methods converge smoothly to the CBS limit and that the LG(OI) approach has a slightly faster convergence rate than the other choices of gauge. While the DFT methods reach gauge invariance at the CBS limit, CCSD does not. The significant difference between the MVG and LG(OI) results at the CBS limit, 26%, indicates that CCSD is not quite at convergence in the description of electron correlation for this property. On the other hand, gauge invariance at the CBS limit for DFT does not lead to the same OR values for the two density functionals, which is also due to electron correlation incompleteness. A limited comparison to gas-phase experimental OR values for the DFT methods shows that CAM-B3LYP seems more accurate than B3LYP. Overall, this study shows that the LG(OI) approach with the aug-cc-pVTZ basis set for DFT, and with the CBS(DT) extrapolation for CCSD, provides a good cost/accuracy balance.
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Affiliation(s)
- Taylor Parsons
- Department of Chemistry, University of Kansas, 1567 Irving Hill Road, Lawrence, Kansas 66045, United States
| | - Ty Balduf
- Department of Chemistry, University of Kansas, 1567 Irving Hill Road, Lawrence, Kansas 66045, United States
| | - James R Cheeseman
- Gaussian, Inc., 340 Quinnipiac Street, Building 40, Wallingford, Connecticut 06492, United States
| | - Marco Caricato
- Department of Chemistry, University of Kansas, 1567 Irving Hill Road, Lawrence, Kansas 66045, United States
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3
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Pearce KC, Fuentes RG, Calderon S, Marolikar R, Kingston DGI, Crawford TD. Structure Elucidation and Confirmation of Phloroglucinols from the Roots of Garcinia dauphinensis by Comparison of Experimental and Calculated ECD Spectra and Specific Rotations. JOURNAL OF NATURAL PRODUCTS 2021; 84:1163-1174. [PMID: 33823109 DOI: 10.1021/acs.jnatprod.0c01208] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Eight phloroglucinols from Garcinia dauphinensis were recently reported to have good to moderate antiplasmodial and anticancer activities, consistent with other phloroglucinol derivatives isolated from natural sources. Chiroptical properties were previously calculated and compared to experimental data for compound 2 as a means to deduce its absolute configuration. Tentative assignments for the remaining compounds were also reported based on these data. In order to arrive at stereochemical assignments for phloroglucinols 1 and 3-8, ECD spectra and specific rotations were computed for all stereoisomers of each compound. Molecular orbital analyses were also carried out for the most energetically favorable conformers of each compound. Absolute configurations are reported for all eight phloroglucinols for the first time.
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Affiliation(s)
- Kirk C Pearce
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Rolly G Fuentes
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
- Virginia Tech Center for Drug Discovery, Virginia Tech, Blacksburg, Virginia 24061, United States
- Division of Natural Sciences and Mathematics, University of the Philippines Visayas Tacloban College, 6500 Tacloban City, Philippines
| | - Susana Calderon
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Rageshwari Marolikar
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - David G I Kingston
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
- Virginia Tech Center for Drug Discovery, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - T Daniel Crawford
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
- Molecular Sciences Software Institute, 1880 Pratt Drive, Suite 1100, Blacksburg, Virginia 24060, United States
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4
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D'Cunha R, Crawford TD. Modeling Complex Solvent Effects on the Optical Rotation of Chiral Molecules: A Combined Molecular Dynamics and Density Functional Theory Study. J Phys Chem A 2021; 125:3095-3108. [PMID: 33829790 DOI: 10.1021/acs.jpca.1c00803] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
The challenge of assigning the absolute stereochemical configuration to a chiral compound can be overcome via accurate ab initio predictions of optical rotation, a sensitive molecular property that is further complicated by solvent effects. The solvent's "chiral imprint"-the transfer of the chirality from the solute to the surrounding achiral solvent-is explored here using conformational averaging and time-dependent density-functional theory. These complex solvent effects are taken into account via simple averaging over a molecular dynamics trajectory together with the explicit quantum mechanical consideration of the solvent molecules within the solute's cybotactic region and implicit modeling of the bulk solvent. We consider several axes along which the system's optical rotation varies, including the sampling of the dynamical trajectory, the quality of the one-electron basis set, and the use of continuum solvent models to account for bulk effects.
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Affiliation(s)
- Ruhee D'Cunha
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - T Daniel Crawford
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States.,Molecular Sciences Software Institute, 1880 Pratt Drive, Suite 1100, Blacksburg, Virginia 24060, United States
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5
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Galeano Carrano RS, Provasi PF, Ferraro MB, Alkorta I, Elguero J, Sauer SPA. A Density Functional Theory Study of Optical Rotation in Some Aziridine and Oxirane Derivatives. Chemphyschem 2021; 22:764-774. [PMID: 33528071 DOI: 10.1002/cphc.202001010] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/11/2020] [Revised: 02/01/2021] [Indexed: 12/25/2022]
Abstract
We present time-dependent density functional theory (TDDFT) calculations of the electronic optical rotation (ORP) for seven oxirane and two aziridine derivatives in the gas phase and in solution and compare the results with the available experimental values. For seven of the studied molecules it is the first time that their optical rotation was studied theoretically and we have therefore investigated the influence of several settings in the TDDFT calculations on the results. This includes the choice of the one-electron basis set, the exchange-correlation functional or the particular polarizable continuum model (PCM). We can confirm that polarized quadruple zeta basis sets augmented with diffuse functions are necessary for converged results and find that the aug-pc-3 basis set is a viable alternative to the frequently employed aug-cc-pVQZ basis set. Based on our study, we cannot recommend the generalized gradient functional KT3 for calculations of the ORP in these compounds, whereas the hybrid functional PBE0 gives results quite similar to the long-range correct CAM-B3LYP functional. Finally, we observe large differences in the solvent effects predicted by the integral equation formalism of PCM and the SMD variant of PCM. For the majority of solute/solvent combinations in this study, we find that the SMD model in combination with the PBE0 functional and the aug-pc-3 basis set gives the best agreement with the experimental values.
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Affiliation(s)
- Ramiro S Galeano Carrano
- Facultad de Ciencias Exactas, Químicas y Naturales, Universidad Nacional de Misiones, Posadas, Argentina
| | - Patricio F Provasi
- Department of Physics, IMIT, Northeastern University, CONICET, Corrientes, Argentina
| | - Marta B Ferraro
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA, CONICET, Buenos Aires, Argentina
| | - Ibon Alkorta
- Instituto de Química Médica (C.S.I.C.), Madrid, Spain
| | - José Elguero
- Instituto de Química Médica (C.S.I.C.), Madrid, Spain
| | - Stephan P A Sauer
- Department of Chemistry, University of Copenhagen, Copenhagen, Denmark
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6
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Giovannini T, Egidi F, Cappelli C. Theory and algorithms for chiroptical properties and spectroscopies of aqueous systems. Phys Chem Chem Phys 2020; 22:22864-22879. [PMID: 33043930 DOI: 10.1039/d0cp04027d] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
Chiroptical properties and spectroscopies are valuable tools to study chiral molecules and assign absolute configurations. The spectra that result from chiroptical measurements may be very rich and complex, and hide much of their information content. For this reason, the interplay between experiments and calculations is especially useful, provided that all relevant physico-chemical interactions that are present in the experimental sample are accurately modelled. The inherent difficulty associated to the calculation of chiral signals of systems in aqueous solutions requires the development of specific tools, able to account for the peculiarities of water-solute interactions, and especially its ability to form hydrogen bonds. In this perspective we discuss a multiscale approach, which we have developed and challenged to model the most used chiroptical techniques.
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Affiliation(s)
- Tommaso Giovannini
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway
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7
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Baranowska-Łączkowska A, Fernández B. Accurate calculation of optically induced birefringences in chiral systems using efficient polarized basis sets. Phys Chem Chem Phys 2018; 20:29717-29723. [PMID: 30460941 DOI: 10.1039/c8cp05648j] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
Using state-of-the-art ab initio methodology, we evaluate universal molecular parameters entering the expressions for various optically induced birefringences in chiral fluids. For this, we use the single and double excitation coupled cluster (CCSD) theory together with Dunning's augmented correlation consistent polarized basis sets of increasing size. As this is the first time these parameters are evaluated for chiral molecules using the CCSD approach, we choose possibly small test systems: a model asymmetric methane molecule, and (R)-fluoro-oxirane. With this choice, the convergence of the molecular parameters with the increase of the basis set size is investigated in detail. The results are compared to those obtained with the LPol-n (n = ds, dl, fs) and the ORP basis sets, and to the corresponding Density Functional Theory (DFT) counterparts. We can conclude that the DFT medium constant values are considerably far from coupled cluster, and therefore, aware of the known excellent performance of the CCSD method in the evaluation of various dynamic responses, we do not recommend the former methodology for accurate evaluation of the present properties. Regarding basis set convergence, the performace of the LPol-ds basis set is more efficient than that of the d-aug-cc-pVDZ set, and therefore, the former basis set can be a good choice when dealing with the study of larger systems.
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8
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Howard JC, Crawford TD. Calculating Optical Rotatory Dispersion Spectra in Solution Using a Smooth Dielectric Model. J Phys Chem A 2018; 122:8557-8564. [DOI: 10.1021/acs.jpca.8b07803] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- J. Coleman Howard
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - T. Daniel Crawford
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
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9
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Baranowska-Łączkowska A, Łączkowski KZ, Henriksen C, Fernández B. New Basis Set for the Evaluation of Specific Rotation in Flexible Biological Molecules in Solution. J Phys Chem A 2018; 122:5477-5483. [PMID: 29792432 DOI: 10.1021/acs.jpca.8b03320] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
A detailed theoretical investigation of specific rotation is carried out in solution for nine flexible molecules of biological importance. Systematic search for the main conformers is followed by time-dependent density functional theory (TD-DFT) calculations of specific rotation employing a wide range of basis sets. Due to conformational flexibility of the compounds under study, the possibility of basis set size reduction without deterioration of the results is investigated. The increasing size (d-)aug-cc-pVXZ (X = D, T, Q) bases of Dunning et al., and the ORP basis set, recently developed to efficiently provide molecular specific rotation, are used for this purpose. The polarizable continuum model is employed at all steps of the investigation. Comparison of the present results with the available data obtained in a vacuum reveals considerable differences, the values in solution being much closer to the experimental specific rotation data available. The ORP basis set proves to be competitive with the d-aug-cc-pVDZ set of Dunning in specific rotation calculations carried out in solution. While having the same number of functions, the former yields, in general, results considerably closer to the reference triple-ζ values. We can thus recommend the ORP basis set to study the optical rotation in conformationally flexible molecules in solution.
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Affiliation(s)
| | - Krzysztof Z Łączkowski
- Department of Chemical Technology and Pharmaceuticals, Faculty of Pharmacy , Collegium Medicum Nicolaus Copernicus University , 2 Jurasz St. , PL-85089 Bydgoszcz , Poland
| | - Christian Henriksen
- Department of Applied Mathematics and Computer Science , Technical University of Denmark , 2800 Kgs. Lynbgy , Denmark
| | - Berta Fernández
- Department of Physical Chemistry , University of Santiago de Compostela , E-15782 Santiago de Compostela , Spain
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10
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Lahiri P, Wiberg KB, Vaccaro PH. Dispersive Optical Activity of (R)-Methylene Norbornene: Intrinsic Response and Solvation Effects. J Phys Chem A 2017; 121:8251-8266. [DOI: 10.1021/acs.jpca.7b08193] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Priyanka Lahiri
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
| | - Kenneth B. Wiberg
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
| | - Patrick H. Vaccaro
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
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11
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Haghdani S, Hoff BH, Koch H, Åstrand PO. Solvent Effects on Optical Rotation: On the Balance between Hydrogen Bonding and Shifts in Dihedral Angles. J Phys Chem A 2017; 121:4765-4777. [DOI: 10.1021/acs.jpca.6b12149] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Shokouh Haghdani
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Bård Helge Hoff
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Per-Olof Åstrand
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
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12
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Giovannini T, Olszòwka M, Cappelli C. Effective Fully Polarizable QM/MM Approach To Model Vibrational Circular Dichroism Spectra of Systems in Aqueous Solution. J Chem Theory Comput 2016; 12:5483-5492. [PMID: 27704812 DOI: 10.1021/acs.jctc.6b00768] [Citation(s) in RCA: 44] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We propose a methodology, based on the combination of classical Molecular Dynamics (MD) simulations with a fully polarizable Quantum Mechanical (QM)/Molecular Mechanics (MM)/Polarizable Continuum Model (PCM) Hamiltonian, to calculate Vibrational Circular Dichroism (VCD) spectra of chiral systems in aqueous solution. Polarization effects are included in the MM force field by exploiting an approach based on Fluctuating Charges (FQ). By performing the MD, the description of the solvating environment is enriched by taking into account the dynamical aspects of the solute-solvent interactions. On the other hand, the QM/FQ/PCM calculation of the VCD spectrum ensures an accurate description of the electronic density of the solute and a proper account for the specific interactions in solution. The application of our approach to (R)-methyloxirane and (l)-alanine in aqueous solution gives calculated spectra in remarkable agreement with their experimental counterparts and a substantial improvement with respect to the same spectra calculated with the PCM.
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Affiliation(s)
| | - Marta Olszòwka
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa , Via Moruzzi 13, 56124 Pisa, Italy
| | - Chiara Cappelli
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
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13
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Haghdani S, Hoff BH, Koch H, Åstrand PO. Optical Rotation Calculations for Fluorinated Alcohols, Amines, Amides, and Esters. J Phys Chem A 2016; 120:7973-7986. [DOI: 10.1021/acs.jpca.6b08899] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Shokouh Haghdani
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Bård Helge Hoff
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Per-Olof Åstrand
- Department of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
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14
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Haghdani S, Gautun OR, Koch H, Åstrand PO. Optical Rotation Calculations for a Set of Pyrrole Compounds. J Phys Chem A 2016; 120:7351-60. [PMID: 27571252 DOI: 10.1021/acs.jpca.6b07004] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Optical rotation of 14 molecules containing the pyrrole group is calculated by employing both time-dependent density functional theory (TDDFT) with the CAM-B3LYP functional and the second-order approximate coupled-cluster singles and doubles (CC2) method. All optical rotations have been provided using the aug-cc-pVDZ basis set at λ = 589 nm. The two methods predict similar results for both sign and magnitude for the optical rotation of all molecules. The obtained signs are consistent with experiments as well, although several conformers for four molecules needed to be studied to reproduce the experimental sign. We have also calculated excitation energies and rotatory strengths for the six lowest lying electronic transitions for several conformers of the two smallest molecules and found that each rotatory strength has various contributions for each conformer which can cause different optical rotations for different conformers of a molecule. Our results illustrate that both methods are able to reproduce the experimental optical rotations, and that the CAM-B3LYP functional, the least computationally expensive method used here, is an applicable and reliable method to predict the optical rotation for these molecules in line with previous studies.
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Affiliation(s)
- Shokouh Haghdani
- Department of Chemistry, Norwegian University of Science and Technology (NTNU) , N-7491 Trondheim, Norway
| | - Odd R Gautun
- Department of Chemistry, Norwegian University of Science and Technology (NTNU) , N-7491 Trondheim, Norway
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology (NTNU) , N-7491 Trondheim, Norway
| | - Per-Olof Åstrand
- Department of Chemistry, Norwegian University of Science and Technology (NTNU) , N-7491 Trondheim, Norway
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15
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Haghdani S, Åstrand PO, Koch H. Optical Rotation from Coupled Cluster and Density Functional Theory: The Role of Basis Set Convergence. J Chem Theory Comput 2016; 12:535-48. [DOI: 10.1021/acs.jctc.5b00721] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Shokouh Haghdani
- Department
of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Per-Olof Åstrand
- Department
of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
| | - Henrik Koch
- Department
of Chemistry, Norwegian University of Science and Technology (NTNU), N-7491 Trondheim, Norway
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16
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Adam AY, Yachmenev A, Yurchenko SN, Jensen P. Ro-vibrational averaging of the isotropic hyperfine coupling constant for the methyl radical. J Chem Phys 2015; 143:244306. [PMID: 26723670 DOI: 10.1063/1.4938253] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We present the first variational calculation of the isotropic hyperfine coupling constant of the carbon-13 atom in the CH3 radical for temperatures T = 0, 96, and 300 K. It is based on a newly calculated high level ab initio potential energy surface and hyperfine coupling constant surface of CH3 in the ground electronic state. The ro-vibrational energy levels, expectation values for the coupling constant, and its temperature dependence were calculated variationally by using the methods implemented in the computer program TROVE. Vibrational energies and vibrational and temperature effects for coupling constant are found to be in very good agreement with the available experimental data. We found, in agreement with previous studies, that the vibrational effects constitute about 44% of the constant's equilibrium value, originating mainly from the large amplitude out-of-plane bending motion and that the temperature effects play a minor role.
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Affiliation(s)
- Ahmad Y Adam
- Fakultät Mathematik und Naturwissenschaften, Physikalische und Theoretische Chemie, Bergische Universität Wuppertal, D-42097 Wuppertal, Germany
| | - Andrey Yachmenev
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Sergei N Yurchenko
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Per Jensen
- Fakultät Mathematik und Naturwissenschaften, Physikalische und Theoretische Chemie, Bergische Universität Wuppertal, D-42097 Wuppertal, Germany
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17
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Crawford TD, Kumar A, Hannon KP, Höfener S, Visscher L. Frozen-Density Embedding Potentials and Chiroptical Properties. J Chem Theory Comput 2015; 11:5305-15. [DOI: 10.1021/acs.jctc.5b00845] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- T. Daniel Crawford
- Department
of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Ashutosh Kumar
- Department
of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Kevin P. Hannon
- Department
of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Sebastian Höfener
- Institut
für Physikalische Chemie, Karlsruher Institut für Technologie, D-76131 Karlsruhe, Germany
| | - Lucas Visscher
- Amsterdam
Center for Multiscale Modeling, VU University Amsterdam, De Boelelaan
1083, 1081 HV Amsterdam, The Netherlands
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18
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Caricato M. Conformational Effects on Specific Rotation: A Theoretical Study Based on the S̃k Method. J Phys Chem A 2015; 119:8303-10. [DOI: 10.1021/acs.jpca.5b05103] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Marco Caricato
- Department of Chemistry, University of Kansas, 1251 Wescoe
Hall Drive, Lawrence, Kansas 66045, United States
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19
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Lahiri P, Wiberg KB, Vaccaro PH. Intrinsic Optical Activity and Large-Amplitude Displacement: Conformational Flexibility in (R)-Glycidyl Methyl Ether. J Phys Chem A 2015; 119:8311-27. [DOI: 10.1021/acs.jpca.5b05177] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Priyanka Lahiri
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
| | - Kenneth B. Wiberg
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
| | - Patrick H. Vaccaro
- Department of Chemistry, Yale University, P.O.
Box 208107, New Haven, Connecticut 06520-8107, United States
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Molteni E, Onida G, Tiana G. Conformational Dependence of the Circular Dichroism Spectra of Single Amino Acids from Plane-Waves-Based Density Functional Theory Calculations. J Phys Chem B 2015; 119:4803-11. [DOI: 10.1021/jp5118568] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- E. Molteni
- Department
of Physics, Università degli Studi di Milano, via Celoria
16, 20133 Milano, Italy
| | - G. Onida
- Department
of Physics, Università degli Studi di Milano, via Celoria
16, 20133 Milano, Italy
| | - G. Tiana
- Department
of Physics, Università degli Studi di Milano, via Celoria
16, 20133 Milano, Italy
- INFN, sezione
di Milano, via Celoria 16, 20133 Milano, Italy
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21
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Sánchez M, Alkorta I, Elguero J, Ferraro MB, Sauer SP. On the transferability of atomic contributions to the optical rotatory power of hydrogen peroxide, methyl hydroperoxide and dimethyl peroxide. Mol Phys 2014. [DOI: 10.1080/00268976.2013.851420] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
| | - Ibon Alkorta
- Instituto de Química Médica (IQM-CSIC), Madrid, Spain
| | - José Elguero
- Instituto de Química Médica (IQM-CSIC), Madrid, Spain
| | - Marta B. Ferraro
- Departamento de Física and IFIBA, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, and CONICET, Argentina
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Lahiri P, Wiberg KB, Vaccaro PH, Caricato M, Crawford TD. Large Solvation Effect in the Optical Rotatory Dispersion of Norbornenone. Angew Chem Int Ed Engl 2013. [DOI: 10.1002/ange.201306339] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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24
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Lahiri P, Wiberg KB, Vaccaro PH, Caricato M, Crawford TD. Large Solvation Effect in the Optical Rotatory Dispersion of Norbornenone. Angew Chem Int Ed Engl 2013; 53:1386-9. [DOI: 10.1002/anie.201306339] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/20/2013] [Revised: 10/08/2013] [Indexed: 11/08/2022]
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25
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Baranowska-Łączkowska A, Łączkowski KZ. The ORP basis set designed for optical rotation calculations. J Comput Chem 2013; 34:2006-13. [DOI: 10.1002/jcc.23347] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2013] [Revised: 04/19/2013] [Accepted: 05/12/2013] [Indexed: 12/14/2022]
Affiliation(s)
| | - Krzysztof Z. Łączkowski
- Department of Chemical Technology and Pharmaceuticals; Faculty of Pharmacy, Nicolaus Copernicus University; 2 Jurasz St.; PL-85089; Bydgoszcz; Poland
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Lahiri P, Wiberg KB, Vaccaro PH. A Tale of Two Carenes: Intrinsic Optical Activity and Large-Amplitude Nuclear Displacement. J Phys Chem A 2012; 116:9516-33. [DOI: 10.1021/jp303270d] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Priyanka Lahiri
- Department
of Chemistry, Yale University, P.O. Box
208107, New Haven, Connecticut 06520-8107, United States
| | - Kenneth B. Wiberg
- Department
of Chemistry, Yale University, P.O. Box
208107, New Haven, Connecticut 06520-8107, United States
| | - Patrick H. Vaccaro
- Department
of Chemistry, Yale University, P.O. Box
208107, New Haven, Connecticut 06520-8107, United States
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27
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Lindh GD, Mach TJ, Crawford TD. The optimized orbital coupled cluster doubles method and optical rotation. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.11.002] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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28
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Lambert J, Compton RN, Crawford TD. The optical activity of carvone: A theoretical and experimental investigation. J Chem Phys 2012; 136:114512. [DOI: 10.1063/1.3693270] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
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29
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Baranowska-Łączkowska A, Łączkowski KZ, Fernández B. Accurate calculation of the intensity dependence of the refractive index using polarized basis sets. J Chem Phys 2012; 136:024302. [DOI: 10.1063/1.3674286] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Helgaker T, Coriani S, Jørgensen P, Kristensen K, Olsen J, Ruud K. Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations. Chem Rev 2012; 112:543-631. [DOI: 10.1021/cr2002239] [Citation(s) in RCA: 463] [Impact Index Per Article: 38.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Trygve Helgaker
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Sonia Coriani
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università degli Studi di Trieste, Via Giorgieri 1, I-34127 Trieste, Italy
| | - Poul Jørgensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kasper Kristensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Jeppe Olsen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø, N-9037 Tromsø, Norway
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31
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Crawford TD, Ruud K. Coupled-Cluster Calculations of Vibrational Raman Optical Activity Spectra. Chemphyschem 2011; 12:3442-8. [DOI: 10.1002/cphc.201100547] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2011] [Revised: 08/13/2011] [Indexed: 11/06/2022]
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32
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Cholesky Decomposition Techniques in Electronic Structure Theory. CHALLENGES AND ADVANCES IN COMPUTATIONAL CHEMISTRY AND PHYSICS 2011. [DOI: 10.1007/978-90-481-2853-2_13] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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Kaminský J, Raich I, Tomčáková K, Bouř P. Conformational behavior of simple furanosides studied by optical rotation. J Comput Chem 2010; 31:2213-24. [DOI: 10.1002/jcc.21511] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Boström J, Delcey MG, Aquilante F, Serrano-Andrés L, Pedersen TB, Lindh R. Calibration of Cholesky Auxiliary Basis Sets for Multiconfigurational Perturbation Theory Calculations of Excitation Energies. J Chem Theory Comput 2010; 6:747-54. [DOI: 10.1021/ct900612k] [Citation(s) in RCA: 74] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jonas Boström
- Department of Theoretical Chemistry, Chemical Center, University of Lund, P. O. Box 124 S-221 00 Lund, Sweden, Department of Physical Chemistry, Sciences II, University of Geneva, Quai E. Ansermet 30, 1211 Geneva 4, Switzerland, Instituto de Ciencia Molecular, Universitat de València, P. O. Box 22085, ES-46071 Valencia, Spain, and Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Mickaël G. Delcey
- Department of Theoretical Chemistry, Chemical Center, University of Lund, P. O. Box 124 S-221 00 Lund, Sweden, Department of Physical Chemistry, Sciences II, University of Geneva, Quai E. Ansermet 30, 1211 Geneva 4, Switzerland, Instituto de Ciencia Molecular, Universitat de València, P. O. Box 22085, ES-46071 Valencia, Spain, and Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Francesco Aquilante
- Department of Theoretical Chemistry, Chemical Center, University of Lund, P. O. Box 124 S-221 00 Lund, Sweden, Department of Physical Chemistry, Sciences II, University of Geneva, Quai E. Ansermet 30, 1211 Geneva 4, Switzerland, Instituto de Ciencia Molecular, Universitat de València, P. O. Box 22085, ES-46071 Valencia, Spain, and Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Luis Serrano-Andrés
- Department of Theoretical Chemistry, Chemical Center, University of Lund, P. O. Box 124 S-221 00 Lund, Sweden, Department of Physical Chemistry, Sciences II, University of Geneva, Quai E. Ansermet 30, 1211 Geneva 4, Switzerland, Instituto de Ciencia Molecular, Universitat de València, P. O. Box 22085, ES-46071 Valencia, Spain, and Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Thomas Bondo Pedersen
- Department of Theoretical Chemistry, Chemical Center, University of Lund, P. O. Box 124 S-221 00 Lund, Sweden, Department of Physical Chemistry, Sciences II, University of Geneva, Quai E. Ansermet 30, 1211 Geneva 4, Switzerland, Instituto de Ciencia Molecular, Universitat de València, P. O. Box 22085, ES-46071 Valencia, Spain, and Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Roland Lindh
- Department of Theoretical Chemistry, Chemical Center, University of Lund, P. O. Box 124 S-221 00 Lund, Sweden, Department of Physical Chemistry, Sciences II, University of Geneva, Quai E. Ansermet 30, 1211 Geneva 4, Switzerland, Instituto de Ciencia Molecular, Universitat de València, P. O. Box 22085, ES-46071 Valencia, Spain, and Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, N-0315 Oslo, Norway
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Kwit M, Rozwadowska MD, Gawroński J, Grajewska A. Density Functional Theory Calculations of the Optical Rotation and Electronic Circular Dichroism: The Absolute Configuration of the Highly Flexible trans-Isocytoxazone Revised. J Org Chem 2009; 74:8051-63. [DOI: 10.1021/jo901175s] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Marcin Kwit
- Department of Chemistry, Adam Mickiewicz University, 60-780 Poznań, Poland
| | | | - Jacek Gawroński
- Department of Chemistry, Adam Mickiewicz University, 60-780 Poznań, Poland
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Łączkowski KZ, Baranowska A. Conformational Analysis and Optical Rotation of Carene β-Amino Alcohols: A DFT Study. European J Org Chem 2009. [DOI: 10.1002/ejoc.200900474] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Aquilante F, Gagliardi L, Pedersen TB, Lindh R. Atomic Cholesky decompositions: a route to unbiased auxiliary basis sets for density fitting approximation with tunable accuracy and efficiency. J Chem Phys 2009; 130:154107. [PMID: 19388736 DOI: 10.1063/1.3116784] [Citation(s) in RCA: 162] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
Abstract
Cholesky decomposition of the atomic two-electron integral matrix has recently been proposed as a procedure for automated generation of auxiliary basis sets for the density fitting approximation [F. Aquilante et al., J. Chem. Phys. 127, 114107 (2007)]. In order to increase computational performance while maintaining accuracy, we propose here to reduce the number of primitive Gaussian functions of the contracted auxiliary basis functions by means of a second Cholesky decomposition. Test calculations show that this procedure is most beneficial in conjunction with highly contracted atomic orbital basis sets such as atomic natural orbitals, and that the error resulting from the second decomposition is negligible. We also demonstrate theoretically as well as computationally that the locality of the fitting coefficients can be controlled by means of the decomposition threshold even with the long-ranged Coulomb metric. Cholesky decomposition-based auxiliary basis sets are thus ideally suited for local density fitting approximations.
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Affiliation(s)
- Francesco Aquilante
- Department of Physical Chemistry, Université de Genève-Science II, 30 quai Ernest-Ansermet, CH-1211 Geneva 4, Switzerland.
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Baranowska A, Ła̧czkowski KZ, Sadlej AJ. Model studies of the optical rotation, and theoretical determination of its sign for β-pinene andtrans-pinane. J Comput Chem 2009; 31:1176-81. [DOI: 10.1002/jcc.21403] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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39
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Pedersen TB, Kongsted J, Crawford TD. Gas phase optical rotation calculated from coupled cluster theory with zero-point vibrational corrections from density functional theory. Chirality 2009; 21 Suppl 1:E68-75. [DOI: 10.1002/chir.20778] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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