1
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Eschenbach P, Artiukhin DG, Neugebauer J. Reliable Isotropic Electron-Paramagnetic-Resonance Hyperfine Coupling Constants from the Frozen-Density Embedding Quasi-Diabatization Approach. J Phys Chem A 2022; 126:8358-8368. [DOI: 10.1021/acs.jpca.2c04959] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Patrick Eschenbach
- Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Simulation, Westfälische Wilhelms-Universität Münster, Corrensstraße 36, 48149 Münster, Germany
| | - Denis G. Artiukhin
- Institut für Chemie und Biochemie, Freie Universität Berlin, Arnimallee 22, 14195 Berlin, Germany
| | - Johannes Neugebauer
- Theoretische Organische Chemie, Organisch-Chemisches Institut and Center for Multiscale Theory and Simulation, Westfälische Wilhelms-Universität Münster, Corrensstraße 36, 48149 Münster, Germany
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2
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Jakubowska K, Pecul M, Ruud K. Vibrational Corrections to NMR Spin-Spin Coupling Constants from Relativistic Four-Component DFT Calculations. J Phys Chem A 2022; 126:7013-7020. [PMID: 36135807 PMCID: PMC9549459 DOI: 10.1021/acs.jpca.2c05019] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
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Zero-point vibrational
(ZPV) corrections to the nuclear spin–spin
coupling constants have been calculated using four-component Dirac–Kohn–Sham
DFT for H2X (where X = O, S, Se, Te, Po), XH3 (where X = N, P, As, Sb, Bi), and XH4 (where X = C, Si,
Ge, Sn, and Pb) molecules and for HC≡CPbH3. The
main goal was to study the influence of relativistic effects on the
ZPV corrections and thus results calculated at relativistic and nonrelativistic
approaches have been compared. The effects of relativity become notable
for the ZPV corrections to the spin–spin coupling constants
for compounds with lighter elements (selenium and germanium) than
for the spin–spin coupling constants themselves. In the case
of molecules containing heavier atoms, for instance BiH3 and PbH4, relativistic effects play a crucial role on
the results and approximating ZPV corrections by the nonrelativistic
results may lead to larger errors than omitting ZPV corrections altogether.
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Affiliation(s)
| | - Magdalena Pecul
- Faculty of Chemistry, University of Warsaw, 02-093 Warsaw, Poland
| | - Kenneth Ruud
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, UiT─The Arctic University of Norway, N-9037 Tromsø, Norway.,Norwegian Defence Research Establishment, P.O. Box 25, 2027 Kjeller, Norway
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3
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Quantum Chemical Approaches to the Calculation of NMR Parameters: From Fundamentals to Recent Advances. MAGNETOCHEMISTRY 2022. [DOI: 10.3390/magnetochemistry8050050] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
Quantum chemical methods for the calculation of indirect NMR spin–spin coupling constants and chemical shifts are always in progress. They never stay the same due to permanently developing computational facilities, which open new perspectives and create new challenges every now and then. This review starts from the fundamentals of the nonrelativistic and relativistic theory of nuclear magnetic resonance parameters, and gradually moves towards the discussion of the most popular common and newly developed methodologies for quantum chemical modeling of NMR spectra.
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4
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Crittenden DL. A new double-reference correction scheme for accurate and efficient computation of NMR chemical shieldings. Phys Chem Chem Phys 2022; 24:27055-27063. [DOI: 10.1039/d2cp03992c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Abstract
Our novel correction procedure yields high-accuracy DFT predictions of absolute NMR shieldings and enables outliers due to relativistic effects or manifestly inadequate modelling of electron correlation to be easily and unambiguously identified.
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Affiliation(s)
- Deborah L. Crittenden
- School of Physical and Chemical Sciences, University of Canterbury, Christchurch, 8140, New Zealand
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5
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Gromov OI. Performance of the DLPNO-CCSD and recent DFT methods in the calculation of isotropic and dipolar contributions to 14N hyperfine coupling constants of nitroxide radicals. J Mol Model 2021; 27:194. [PMID: 34075533 DOI: 10.1007/s00894-021-04807-z] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2021] [Accepted: 05/26/2021] [Indexed: 10/21/2022]
Abstract
In the present study, the performance of a set of density functionals: BP86, PBE, OLYP, BEEF, PBEpow, TPSS, SCAN, PBEGXPBE, M06L, MN15L, B3LYP, PBE0, mPW1PW, B97, BHandHLYP, mPW1PW, B98, TPSS0, PBE1KCIS, SCAN0, M06, M06-2X, MN15, CAM-B3LYP, ωB97x, B2PLYP, and the B3LYP/N07D and PBE/N07D schemes in the calculation of the 14N anisotropic hyperfine coupling (HFC) constants of a set of 23 nitroxide radicals is evaluated. The results are compared with those obtained with the DLPNO-CCSD method and experimental HFC values. Harmonic contribution to the 14N HFC vibrational correction was calculated at the revPBE0/def2-TZVPP level and included in the evaluation. With the vibrational correction, the DLPNO-CCSD method yielded HFC values in good agreement with the experiment (mean absolute deviation (MAD) = 0.3 G for the dipole-dipole contribution and MAD = 0.8 G for the contact coupling contribution). The best DFT results are obtained using the M06 functional with MAD = 0.2 G for the dipole-dipole contribution and MAD = 0.7 G for the contact coupling contribution. In general, vibrational correction significantly improved most DFT functionals' performance but did not change its overall ranking.
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Affiliation(s)
- Oleg I Gromov
- Chemistry Department, Lomonosov Moscow State University, Leninskiye Gory 1-3, Moscow, 119991, Russia.
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6
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Aieta C, Bertaina G, Micciarelli M, Ceotto M. Representing molecular ground and excited vibrational eigenstates with nuclear densities obtained from semiclassical initial value representation molecular dynamics. J Chem Phys 2020; 153:214117. [PMID: 33291909 DOI: 10.1063/5.0031391] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present in detail and validate an effective Monte Carlo approach for the calculation of the nuclear vibrational densities via integration of molecular eigenfunctions that we have preliminary employed to calculate the densities of the ground and the excited OH stretch vibrational states in the protonated glycine molecule [Aieta et al., Nat Commun 11, 4348 (2020)]. Here, we first validate and discuss in detail the features of the method on a benchmark water molecule. Then, we apply it to calculate on-the-fly the ab initio anharmonic nuclear densities in the correspondence of the fundamental transitions of NH and CH stretches in protonated glycine. We show how we can gain both qualitative and quantitative physical insight by inspection of different one-nucleus densities and assign a character to spectroscopic absorption peaks using the expansion of vibrational states in terms of harmonic basis functions. The visualization of the nuclear vibrations in a purely quantum picture allows us to observe and quantify the effects of anharmonicity on the molecular structure, also to exploit the effect of IR excitations on specific bonds or functional groups, beyond the harmonic approximation. We also calculate the quantum probability distribution of bond lengths, angles, and dihedrals of the molecule. Notably, we observe how in the case of one type of fundamental NH stretching, the typical harmonic nodal pattern is absent in the anharmonic distribution.
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Affiliation(s)
- Chiara Aieta
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
| | - Gianluca Bertaina
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
| | - Marco Micciarelli
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
| | - Michele Ceotto
- Dipartimento di Chimica, Università degli Studi di Milano, Via C. Golgi 19, 20133 Milano, Italy
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7
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Aieta C, Micciarelli M, Bertaina G, Ceotto M. Anharmonic quantum nuclear densities from full dimensional vibrational eigenfunctions with application to protonated glycine. Nat Commun 2020; 11:4348. [PMID: 32859910 PMCID: PMC7455743 DOI: 10.1038/s41467-020-18211-3] [Citation(s) in RCA: 23] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/23/2020] [Accepted: 07/29/2020] [Indexed: 11/24/2022] Open
Abstract
The interpretation of molecular vibrational spectroscopic signals in terms of atomic motion is essential to understand molecular mechanisms and for chemical characterization. The signals are usually assigned after harmonic normal mode analysis, even if molecular vibrations are known to be anharmonic. Here we obtain the quantum anharmonic vibrational eigenfunctions of the 11-atom protonated glycine molecule and we calculate the density distribution of its nuclei and its geometry parameters, for both the ground and the O-H stretch excited states, using our semiclassical method based on ab initio molecular dynamics trajectories. Our quantum mechanical results describe a molecule elongated and more flexible with respect to what previously thought. More importantly, our method is able to assign each spectral peak in vibrational spectroscopy by showing quantitatively how normal modes involving different functional groups cooperate to originate that spectroscopic signal. The method will possibly allow for a better rationalization of experimental spectroscopy.
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Affiliation(s)
- Chiara Aieta
- Dipartimento di Chimica, Università degli Studi di Milano, via C. Golgi 19, 20133, Milano, Italy
| | - Marco Micciarelli
- Dipartimento di Chimica, Università degli Studi di Milano, via C. Golgi 19, 20133, Milano, Italy
| | - Gianluca Bertaina
- Dipartimento di Chimica, Università degli Studi di Milano, via C. Golgi 19, 20133, Milano, Italy
- Istituto Nazionale di Ricerca Metrologica, Strada delle Cacce 91, 10135, Torino, Italy
| | - Michele Ceotto
- Dipartimento di Chimica, Università degli Studi di Milano, via C. Golgi 19, 20133, Milano, Italy.
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8
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Rusakov YY, Rusakova IL. What Most Affects the Accuracy of 125Te NMR Chemical Shift Calculations. J Phys Chem A 2020; 124:6714-6725. [DOI: 10.1021/acs.jpca.0c05780] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Yu. Yu. Rusakov
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| | - I. L. Rusakova
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
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9
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The Structure of the "Vibration Hole" around an Isotopic Substitution-Implications for the Calculation of Nuclear Magnetic Resonance (NMR) Isotopic Shifts. Molecules 2020; 25:molecules25122915. [PMID: 32599937 PMCID: PMC7355873 DOI: 10.3390/molecules25122915] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/25/2020] [Revised: 06/22/2020] [Accepted: 06/22/2020] [Indexed: 11/17/2022] Open
Abstract
Calculations of nuclear magnetic resonance (NMR) isotopic shifts often rest on the unverified assumption that the “vibration hole”, that is, the change of the vibration motif upon an isotopic substitution, is strongly localized around the substitution site. Using our recently developed difference-dedicated (DD) second-order vibrational perturbation theory (VPT2) method, we test this assumption for a variety of molecules. The vibration hole turns out to be well localized in many cases but not in the interesting case where the H/D substitution site is involved in an intra-molecular hydrogen bond. For a series of salicylaldehyde derivatives recently studied by Hansen and co-workers (Molecules2019, 24, 4533), the vibrational hole was found to stretch over the whole hydrogen-bond moiety, including the bonds to the neighbouring C atoms, and to be sensitive to substituent effects. We discuss consequences of this finding for the accurate calculation of NMR isotopic shifts and point out directions for the further improvement of our DD-VPT2 method.
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10
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Gräfenstein J. Efficient calculation of NMR isotopic shifts: Difference-dedicated vibrational perturbation theory. J Chem Phys 2019; 151:244120. [PMID: 31893883 DOI: 10.1063/1.5134538] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
Abstract
We present difference-dedicated second-order vibrational perturbation theory (VPT2) as an efficient method for the computation of nuclear magnetic resonance (NMR) isotopic shifts, which reflect the geometry dependence of the NMR property in combination with different vibration patterns of two isotopologues. Conventional calculations of isotopic shifts, e.g., by standard VPT2, require scanning the geometry dependence over the whole molecule, which becomes expensive rapidly as the molecule size increases. In DD-VPT2, this scan can be restricted to a small region around the substitution site. At the heart of DD-VPT2 is a set of localized vibration modes common to the two isotopologues and designed such that the difference between the vibration patterns is caught by a small subset of them (usually fewer than 10). We tested the DD-VPT2 method for a series of molecules with increasing size and found that this method provides results with the same quality as VPT2 and in good agreement with the experiment, with computational savings up to 95% and less numerical instabilities. The method is easy to automatize and straightforward to generalize to other molecular properties.
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Affiliation(s)
- Jürgen Gräfenstein
- Department of Chemistry and Molecular Biology, University of Gothenburg, SE-412 96 Göteborg, Sweden
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11
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Pietropolli Charmet A, Cornaton Y. Benchmarking fully analytic DFT force fields for vibrational spectroscopy: A study on halogenated compounds. J Mol Struct 2018. [DOI: 10.1016/j.molstruc.2018.01.089] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
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12
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Massolle A, Dresselhaus T, Eusterwiemann S, Doerenkamp C, Eckert H, Studer A, Neugebauer J. Towards reliable references for electron paramagnetic resonance parameters based on quantum chemistry: the case of verdazyl radicals. Phys Chem Chem Phys 2018; 20:7661-7675. [PMID: 29497710 DOI: 10.1039/c7cp05657e] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present an efficient and accurate computational procedure to calculate properties measurable by EPR spectroscopy. We simulate a molecular dynamics (MD) trajectory by employing the quantum mechanically derived force field (QMDFF) [S. Grimme, J. Chem. Theory Comput., 2014, 10, 4497] and sample the trajectory at different time steps. For each snapshot EPR properties are calculated with a hybrid density functional theory (DFT) method. EPR spectra are simulated based on the averaged results. We applied the strategy to a number of previously published and novel verdazyl radicals, for which we recorded EPR spectra. The resulting simulated spectra are compatible with experiment already before employing an additional fitting step, in contrast to those from single point electronic-structure calculations. After the refinement, the experimental data are excellently reproduced, and the fitted EPR parameters do not deviate much from the calculated ones. This provides confidence in ascribing a direct physical meaning to the refined data in terms of experimental EPR parameters rather than merely considering them as mathematical fit parameters. We also find that couplings to hydrogen nuclei have a significant influence on the spectra of verdazyl radicals.
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Affiliation(s)
- Anja Massolle
- Organisch-Chemisches Institut, Westfälische Wilhelms-Universität Münster, Corrensstraße 40, 48149 Münster, Germany.
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13
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Sandwisch JW, Holmes J, Nibler JW, Hedberg K. Improved methods and calibration technique in gas-phase electron-diffraction experiments: Use of nitrogen as a wavelength standard. J Mol Struct 2017. [DOI: 10.1016/j.molstruc.2017.06.129] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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14
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Field-Theodore TE, Wilson DJD. A coupled cluster study of the magnetisability, rotational g-tensor and quadrupole moment of NF3, PF3 and AsF3. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1349346] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Terri E. Field-Theodore
- Department of Chemistry and Physics, La Trobe Institute for Molecular Science, La Trobe University, Melbourne, Victoria, Australia
| | - David J. D. Wilson
- Department of Chemistry and Physics, La Trobe Institute for Molecular Science, La Trobe University, Melbourne, Victoria, Australia
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15
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Rusakova IL, Rusakov YY, Krivdin LB. Calculation of 125Te NMR Chemical Shifts at the Full Four-Component Relativistic Level with Taking into Account Solvent and Vibrational Corrections: A Gateway to Better Agreement with Experiment. J Phys Chem A 2017; 121:4793-4803. [DOI: 10.1021/acs.jpca.7b03198] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Irina L. Rusakova
- A.E. Favorsky Irkutsk
Institute
of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| | - Yuriy Yu. Rusakov
- A.E. Favorsky Irkutsk
Institute
of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
| | - Leonid B. Krivdin
- A.E. Favorsky Irkutsk
Institute
of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russian Federation
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16
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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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17
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Den T, Frey HM, Felker PM, Leutwyler S. Rotational constants and structure of para-difluorobenzene determined by femtosecond Raman coherence spectroscopy: A new transient type. J Chem Phys 2016; 143:144306. [PMID: 26472378 DOI: 10.1063/1.4932602] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
Abstract
Femtosecond Raman rotational coherence spectroscopy (RCS) detected by degenerate four-wave mixing is a background-free method that allows to determine accurate gas-phase rotational constants of non-polar molecules. Raman RCS has so far mostly been applied to the regular coherence patterns of symmetric-top molecules, while its application to nonpolar asymmetric tops has been hampered by the large number of RCS transient types, the resulting variability of the RCS patterns, and the 10(3)-10(4) times larger computational effort to simulate and fit rotational Raman RCS transients. We present the rotational Raman RCS spectra of the nonpolar asymmetric top 1,4-difluorobenzene (para-difluorobenzene, p-DFB) measured in a pulsed Ar supersonic jet and in a gas cell over delay times up to ∼2.5 ns. p-DFB exhibits rotational Raman transitions with ΔJ = 0, 1, 2 and ΔK = 0, 2, leading to the observation of J -, K -, A -, and C-type transients, as well as a novel transient (S-type) that has not been characterized so far. The jet and gas cell RCS measurements were fully analyzed and yield the ground-state (v = 0) rotational constants A0 = 5637.68(20) MHz, B0 = 1428.23(37) MHz, and C0 = 1138.90(48) MHz (1σ uncertainties). Combining the A0, B0, and C0 constants with coupled-cluster with single-, double- and perturbatively corrected triple-excitation calculations using large basis sets allows to determine the semi-experimental equilibrium bond lengths re(C1-C2) = 1.3849(4) Å, re(C2-C3) = 1.3917(4) Å, re(C-F) = 1.3422(3) Å, and re(C2-H2) = 1.0791(5) Å.
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Affiliation(s)
- Takuya Den
- Departement für Chemie und Biochemie, Universität Bern, Freiestrasse 3, CH-3000 Bern 9, Switzerland
| | - Hans-Martin Frey
- Departement für Chemie und Biochemie, Universität Bern, Freiestrasse 3, CH-3000 Bern 9, Switzerland
| | - Peter M Felker
- Department of Chemistry and Biochemistry, University of California at Los Angeles, 607 Charles E. Young Drive East, Los Angeles, California 90095-1569, USA
| | - Samuel Leutwyler
- Departement für Chemie und Biochemie, Universität Bern, Freiestrasse 3, CH-3000 Bern 9, Switzerland
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18
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Arapiraca AFC, Mohallem JR. Vibrationally averaged dipole moments of methane and benzene isotopologues. J Chem Phys 2016; 144:144301. [PMID: 27083715 DOI: 10.1063/1.4945381] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
Abstract
DFT-B3LYP post-Born-Oppenheimer (finite-nuclear-mass-correction (FNMC)) calculations of vibrationally averaged isotopic dipole moments of methane and benzene, which compare well with experimental values, are reported. For methane, in addition to the principal vibrational contribution to the molecular asymmetry, FNMC accounts for the surprisingly large Born-Oppenheimer error of about 34% to the dipole moments. This unexpected result is explained in terms of concurrent electronic and vibrational contributions. The calculated dipole moment of C6H3D3 is about twice as large as the measured dipole moment of C6H5D. Computational progress is advanced concerning applications to larger systems and the choice of appropriate basis sets. The simpler procedure of performing vibrational averaging on the Born-Oppenheimer level and then adding the FNMC contribution evaluated at the equilibrium distance is shown to be appropriate. Also, the basis set choice is made by heuristic analysis of the physical behavior of the systems, instead of by comparison with experiments.
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Affiliation(s)
- A F C Arapiraca
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, P. O. Box 702, 30123-970 Belo Horizonte, MG, Brazil
| | - J R Mohallem
- Laboratório de Átomos e Moléculas Especiais, Departamento de Física, ICEx, Universidade Federal de Minas Gerais, P. O. Box 702, 30123-970 Belo Horizonte, MG, Brazil
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19
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Ng YH, Bettens RPA. Comparing Vibrationally Averaged Nuclear Shielding Constants by Quantum Diffusion Monte Carlo and Second-Order Perturbation Theory. J Phys Chem A 2016; 120:1297-306. [PMID: 26835785 DOI: 10.1021/acs.jpca.6b00036] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Using the method of modified Shepard's interpolation to construct potential energy surfaces of the H2O, O3, and HCOOH molecules, we compute vibrationally averaged isotropic nuclear shielding constants ⟨σ⟩ of the three molecules via quantum diffusion Monte Carlo (QDMC). The QDMC results are compared to that of second-order perturbation theory (PT), to see if second-order PT is adequate for obtaining accurate values of nuclear shielding constants of molecules with large amplitude motions. ⟨σ⟩ computed by the two approaches differ for the hydrogens and carbonyl oxygen of HCOOH, suggesting that for certain molecules such as HCOOH where big displacements away from equilibrium happen (internal OH rotation), ⟨σ⟩ of experimental quality may only be obtainable with the use of more sophisticated and accurate methods, such as quantum diffusion Monte Carlo. The approach of modified Shepard's interpolation is also extended to construct shielding constants σ surfaces of the three molecules. By using a σ surface with the equilibrium geometry as a single data point to compute isotropic nuclear shielding constants for each descendant in the QDMC ensemble representing the ground state wave function, we reproduce the results obtained through ab initio computed σ to within statistical noise. Development of such an approach could thereby alleviate the need for any future costly ab initio σ calculations.
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Affiliation(s)
- Yee-Hong Ng
- Department of Chemistry, National University of Singapore , 3 Science Drive 3, 117543 Singapore
| | - Ryan P A Bettens
- Department of Chemistry, National University of Singapore , 3 Science Drive 3, 117543 Singapore
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20
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Faber R, Kaminsky J, Sauer SPA. Rovibrational and Temperature Effects in Theoretical Studies of NMR Parameters. GAS PHASE NMR 2016. [DOI: 10.1039/9781782623816-00218] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Abstract
The demand for high precision calculations of NMR shieldings (or their related values, chemical shifts δ) and spin–spin coupling constants facilitating and supporting detailed interpretations of NMR spectra increases hand in hand with the development of computational techniques and hardware resources. Highly sophisticated calculations including even relativistic effects are nowadays possible for these properties. However, NMR parameters depend not only on molecular structure and environment but also on molecular flexibility and temperature and the apparent success of theoretical predictions for molecular equilibrium geometries creates a demand for zero-point vibrational and temperature corrections. In this chapter we describe briefly the theory behind rovibrational corrections and review then some important contributions to this field.
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Affiliation(s)
- Rasmus Faber
- Department of Chemistry, University of Copenhagen Universitetsparken 5 DK-2100 Copenhagen Ø Denmark
| | - Jakub Kaminsky
- Department of Molecular Spectroscopy, Institute of Organic Chemistry and Biochemistry 166 10 Prague Czech Republic
| | - Stephan P. A. Sauer
- Department of Chemistry, University of Copenhagen Universitetsparken 5 DK-2100 Copenhagen Ø Denmark
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Cornaton Y, Ringholm M, Louant O, Ruud K. Analytic calculations of anharmonic infrared and Raman vibrational spectra. Phys Chem Chem Phys 2016; 18:4201-15. [PMID: 26784673 PMCID: PMC5063043 DOI: 10.1039/c5cp06657c] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/02/2015] [Accepted: 01/05/2016] [Indexed: 11/21/2022]
Abstract
Using a recently developed recursive scheme for the calculation of high-order geometric derivatives of frequency-dependent molecular properties [Ringholm et al., J. Comp. Chem., 2014, 35, 622], we present the first analytic calculations of anharmonic infrared (IR) and Raman spectra including anharmonicity both in the vibrational frequencies and in the IR and Raman intensities. In the case of anharmonic corrections to the Raman intensities, this involves the calculation of fifth-order energy derivatives-that is, the third-order geometric derivatives of the frequency-dependent polarizability. The approach is applicable to both Hartree-Fock and Kohn-Sham density functional theory. Using generalized vibrational perturbation theory to second order, we have calculated the anharmonic infrared and Raman spectra of the non- and partially deuterated isotopomers of nitromethane, where the inclusion of anharmonic effects introduces combination and overtone bands that are observed in the experimental spectra. For the major features of the spectra, the inclusion of anharmonicities in the calculation of the vibrational frequencies is more important than anharmonic effects in the calculated infrared and Raman intensities. Using methanimine as a trial system, we demonstrate that the analytic approach avoids errors in the calculated spectra that may arise if numerical differentiation schemes are used.
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Affiliation(s)
- Yann Cornaton
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø-The Arctic University of Norway, N-9037 Tromsø, Norway.
| | - Magnus Ringholm
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø-The Arctic University of Norway, N-9037 Tromsø, Norway.
| | - Orian Louant
- Laboratory of Theoretical Chemistry, UCPTS, University of Namur, Rue de Bruxelles 61, B-5000 Namur, Belgium
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø-The Arctic University of Norway, N-9037 Tromsø, Norway.
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22
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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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23
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On novel magnetic probe for fullerene characterization: Theoretical studies on NMR parameters of free and confined in fullerenes HD and H 2 molecules. J Mol Graph Model 2015; 62:26-37. [DOI: 10.1016/j.jmgm.2015.08.009] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2015] [Revised: 08/05/2015] [Accepted: 08/24/2015] [Indexed: 11/22/2022]
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24
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Den TS, Frey HM, Leutwyler S. Accurate rotational constant and bond lengths of hexafluorobenzene by femtosecond rotational Raman coherence spectroscopy and ab initio calculations. J Chem Phys 2014; 141:194303. [DOI: 10.1063/1.4901284] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Affiliation(s)
- Takuya S. Den
- Departement für Chemie und Biochemie, Universität Bern, Freiestrasse 3, CH-3000 Bern 9, Switzerland
| | - Hans-Martin Frey
- Departement für Chemie und Biochemie, Universität Bern, Freiestrasse 3, CH-3000 Bern 9, Switzerland
| | - Samuel Leutwyler
- Departement für Chemie und Biochemie, Universität Bern, Freiestrasse 3, CH-3000 Bern 9, Switzerland
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25
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Arapiraca A, Mohallem J. DFT vibrationally averaged isotopic dipole moments of propane, propyne and water isotopologues. Chem Phys Lett 2014. [DOI: 10.1016/j.cplett.2014.06.037] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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26
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Ruud K, Demissie TB, Jaszuński M. Ab initio and relativistic DFT study of spin–rotation and NMR shielding constants in XF6 molecules, X = S, Se, Te, Mo, and W. J Chem Phys 2014; 140:194308. [DOI: 10.1063/1.4875696] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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27
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Xiao Y, Zhang Y, Liu W. New Experimental NMR Shielding Scales Mapped Relativistically from NSR: Theory and Application. J Chem Theory Comput 2014; 10:600-8. [PMID: 26580036 DOI: 10.1021/ct400950g] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The recently proposed relativistic mapping between nuclear magnetic resonance (NMR) shielding and nuclear spin-rotation (NSR) coupling tensors [J. Chem. Phys. 2013, 138, 134104] is employed to establish new experimental (more precisely, experimentally derived) absolute shielding constants for H and X in HX (X = F, Cl, Br, and I). The results are much more accurate than the old "experimental" values that were based on the well-known nonrelativistic mapping. The relativistic mapping is very robust in the sense that it is rather insensitive to the quality of one-particle basis sets and the treatment of electron correlation. Relativistic effects in the NSR coupling constants are also elucidated in depth.
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Affiliation(s)
- Yunlong Xiao
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University , Beijing 100871, People's Republic of China
| | - Yong Zhang
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University , Beijing 100871, People's Republic of China
| | - Wenjian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University , Beijing 100871, People's Republic of China
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28
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Ringholm M, Jonsson D, Bast R, Gao B, Thorvaldsen AJ, Ekström U, Helgaker T, Ruud K. Analytic cubic and quartic force fields using density-functional theory. J Chem Phys 2014; 140:034103. [DOI: 10.1063/1.4861003] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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29
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Shen T, Su NQ, Wu A, Xu X. Perturbative treatment of anharmonic vibrational effects on bond distances: An extended langevin dynamics method. J Comput Chem 2013; 35:467-78. [DOI: 10.1002/jcc.23516] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/12/2013] [Accepted: 12/06/2013] [Indexed: 11/10/2022]
Affiliation(s)
- Tonghao Shen
- Department of chemistry, State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, College of Chemistry and Chemical Engineering; Xiamen University; Xiamen 361005 People's Republic of China
| | - Neil Qiang Su
- Department of Chemistry, Collaborative Innovation Center of Chemistry for Energy Materials, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Laboratory for Computational Physical Science; Fudan University; Shanghai 200433 People's Republic of China
| | - Anan Wu
- Department of chemistry, State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, College of Chemistry and Chemical Engineering; Xiamen University; Xiamen 361005 People's Republic of China
| | - Xin Xu
- Department of chemistry, State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, College of Chemistry and Chemical Engineering; Xiamen University; Xiamen 361005 People's Republic of China
- Department of Chemistry, Collaborative Innovation Center of Chemistry for Energy Materials, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Laboratory for Computational Physical Science; Fudan University; Shanghai 200433 People's Republic of China
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30
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Aidas K, Angeli C, Bak KL, Bakken V, Bast R, Boman L, Christiansen O, Cimiraglia R, Coriani S, Dahle P, Dalskov EK, Ekström U, Enevoldsen T, Eriksen JJ, Ettenhuber P, Fernández B, Ferrighi L, Fliegl H, Frediani L, Hald K, Halkier A, Hättig C, Heiberg H, Helgaker T, Hennum AC, Hettema H, Hjertenæs E, Høst S, Høyvik IM, Iozzi MF, Jansík B, Jensen HJA, Jonsson D, Jørgensen P, Kauczor J, Kirpekar S, Kjærgaard T, Klopper W, Knecht S, Kobayashi R, Koch H, Kongsted J, Krapp A, Kristensen K, Ligabue A, Lutnæs OB, Melo JI, Mikkelsen KV, Myhre RH, Neiss C, Nielsen CB, Norman P, Olsen J, Olsen JMH, Osted A, Packer MJ, Pawlowski F, Pedersen TB, Provasi PF, Reine S, Rinkevicius Z, Ruden TA, Ruud K, Rybkin VV, Sałek P, Samson CCM, de Merás AS, Saue T, Sauer SPA, Schimmelpfennig B, Sneskov K, Steindal AH, Sylvester-Hvid KO, Taylor PR, Teale AM, Tellgren EI, Tew DP, Thorvaldsen AJ, Thøgersen L, Vahtras O, Watson MA, Wilson DJD, Ziolkowski M, Agren H. The Dalton quantum chemistry program system. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2013; 4:269-284. [PMID: 25309629 PMCID: PMC4171759 DOI: 10.1002/wcms.1172] [Citation(s) in RCA: 874] [Impact Index Per Article: 79.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Dalton is a powerful general-purpose program system for the study of molecular electronic structure at the Hartree-Fock, Kohn-Sham, multiconfigurational self-consistent-field, Møller-Plesset, configuration-interaction, and coupled-cluster levels of theory. Apart from the total energy, a wide variety of molecular properties may be calculated using these electronic-structure models. Molecular gradients and Hessians are available for geometry optimizations, molecular dynamics, and vibrational studies, whereas magnetic resonance and optical activity can be studied in a gauge-origin-invariant manner. Frequency-dependent molecular properties can be calculated using linear, quadratic, and cubic response theory. A large number of singlet and triplet perturbation operators are available for the study of one-, two-, and three-photon processes. Environmental effects may be included using various dielectric-medium and quantum-mechanics/molecular-mechanics models. Large molecules may be studied using linear-scaling and massively parallel algorithms. Dalton is distributed at no cost from http://www.daltonprogram.org for a number of UNIX platforms.
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Affiliation(s)
- Kestutis Aidas
- Department of General Physics and Spectroscopy, Faculty of Physics, Vilnius University Vilnius, Lithuania
| | | | - Keld L Bak
- Aarhus University School of Engineering Aarhus, Denmark
| | - Vebjørn Bakken
- Faculty of Mathematics and Natural Sciences, University of Oslo Oslo, Norway
| | - Radovan Bast
- Department of Theoretical Chemistry and Biology, School of Biotechnology, KTH Royal Institute of Technology Stockholm, Sweden
| | | | | | | | - Sonia Coriani
- Department of Chemical and Pharmaceutical Sciences, University of Trieste Trieste, Italy
| | - Pål Dahle
- Norwegian Computing Center Oslo, Norway
| | | | - Ulf Ekström
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - Thomas Enevoldsen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | | | | | - Berta Fernández
- Department of Physical Chemistry and Center for Research in Biological Chemistry and Molecular Materials (CIQUS), University of Santiago de Compostela Santiago de Compostela, Spain
| | - Lara Ferrighi
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | - Heike Fliegl
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - Luca Frediani
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | | | | | - Christof Hättig
- Department of Theoretical Chemistry, Ruhr-University Bochum Bochum, Germany
| | | | - Trygve Helgaker
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | | | - Hinne Hettema
- Department of Philosophy, The University of Auckland Auckland, New Zealand
| | - Eirik Hjertenæs
- Department of Chemistry, Norwegian University of Science and Technology Trondheim, Norway
| | - Stinne Høst
- Department of Geoscience, Aarhus University Aarhus, Denmark
| | | | | | | | - Hans Jørgen Aa Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | - Dan Jonsson
- High-Performance Computing Group, UiT The Arctic University of Norway, Tromsø Norway
| | - Poul Jørgensen
- Department of Chemistry, Aarhus University Aarhus, Denmark
| | - Joanna Kauczor
- Department of Physics, Chemistry and Biology, Linköping University Linköping, Sweden
| | | | | | - Wim Klopper
- Institute of Physical Chemistry, Karlsruhe Institute of Technology Karlsruhe, Germany
| | - Stefan Knecht
- Laboratory of Physical Chemistry, ETH Zürich Zürich, Switzerland
| | - Rika Kobayashi
- Australian National University Supercomputer Facility Canberra, Australia
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology Trondheim, Norway
| | - Jacob Kongsted
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | | | | | - Andrea Ligabue
- Computer Services: Networks and Systems, University of Modena and Reggio Emilia Modena, Italy
| | | | - Juan I Melo
- Physics Department, FCEyN-UBA and IFIBA-CONICET, Universidad de Buenos Aires Buenos Aires, Argentina
| | - Kurt V Mikkelsen
- Department of Chemistry, University of Copenhagen, Copenhagen Denmark
| | - Rolf H Myhre
- Department of Chemistry, Norwegian University of Science and Technology Trondheim, Norway
| | - Christian Neiss
- Department of Chemistry and Pharmacy, Friedrich-Alexander University Erlangen-Nürnberg Erlangen, Germany
| | | | - Patrick Norman
- Department of Physics, Chemistry and Biology, Linköping University Linköping, Sweden
| | - Jeppe Olsen
- Department of Chemistry, Aarhus University Aarhus, Denmark
| | - Jógvan Magnus H Olsen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | | | - Martin J Packer
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark Odense, Denmark
| | - Filip Pawlowski
- Institute of Physics, Kazimierz Wielki University Bydgoszcz, Poland
| | | | - Patricio F Provasi
- Department of Physics, University of Northeastern and IMIT-CONICET Corrientes, Argentina
| | - Simen Reine
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - Zilvinas Rinkevicius
- Department of Theoretical Chemistry and Biology, School of Biotechnology and Swedish e-Science Research Center (SeRC), KTH Royal Institute of Technology Stockholm, Sweden
| | | | - Kenneth Ruud
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | - Vladimir V Rybkin
- Institute of Physical Chemistry, Karlsruhe Institute of Technology Karlsruhe, Germany
| | | | - Claire C M Samson
- Institute of Physical Chemistry, Karlsruhe Institute of Technology Karlsruhe, Germany
| | | | - Trond Saue
- Paul Sabatier University Toulouse, France
| | - Stephan P A Sauer
- Department of Chemistry, University of Copenhagen, Copenhagen Denmark
| | - Bernd Schimmelpfennig
- Institute for Nuclear Waste Disposal, Karlsruhe Institute of Technology Karlsruhe, Germany
| | | | - Arnfinn H Steindal
- CTCC, Department of Chemistry, UiT The Arctic University of Norway, Tromsø Norway
| | | | - Peter R Taylor
- VLSCI and School of Chemistry, University of Melbourne Parkville, Australia
| | - Andrew M Teale
- School of Chemistry, University of Nottingham Nottingham, UK
| | - Erik I Tellgren
- CTCC, Department of Chemistry, University of Oslo Oslo, Norway
| | - David P Tew
- School of Chemistry, University of Bristol Bristol, UK
| | | | | | - Olav Vahtras
- Department of Theoretical Chemistry and Biology, School of Biotechnology, KTH Royal Institute of Technology Stockholm, Sweden
| | - Mark A Watson
- Department of Chemistry, Princeton University Princeton, New Jersey
| | - David J D Wilson
- Department of Chemistry and La Trobe Institute for Molecular Sciences, La Trobe University Melbourne, Australia
| | - Marcin Ziolkowski
- CoE for Next Generation Computing, Clemson University Clemson, South Carolina
| | - Hans Agren
- Department of Theoretical Chemistry and Biology, School of Biotechnology, KTH Royal Institute of Technology Stockholm, Sweden
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31
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Chen X, Rinkevicius Z, Ruud K, Ågren H. Role of zero-point vibrational corrections to carbon hyperfine coupling constants in organic π radicals. J Chem Phys 2013; 138:054310. [PMID: 23406122 DOI: 10.1063/1.4789769] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023] Open
Abstract
By analyzing a set of organic π radicals, we demonstrate that zero-point vibrational corrections give significant contributions to carbon hyperfine coupling constants, in one case even inducing a sign reversal for the coupling constant. We discuss the implications of these findings for the computational analysis of electron paramagnetic spectra based on hyperfine coupling constants evaluated at the equilibrium geometry of radicals. In particular, we note that a dynamical description that involves the nuclear motion is in many cases necessary in order to achieve a semi-quantitatively predictive theory for carbon hyperfine coupling constants. In addition, we discuss the implications of the strong dependence of the carbon hyperfine coupling constants on the zero-point vibrational corrections for the selection of exchange-correlation functionals in density functional theory studies of these constants.
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Affiliation(s)
- X Chen
- KTH Royal Institute of Technology, School of Biotechnology, Division of Theoretical Chemistry and Biology, S-106 91 Stockholm, Sweden
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32
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Bloino J, Barone V. A second-order perturbation theory route to vibrational averages and transition properties of molecules: general formulation and application to infrared and vibrational circular dichroism spectroscopies. J Chem Phys 2012; 136:124108. [PMID: 22462836 DOI: 10.1063/1.3695210] [Citation(s) in RCA: 259] [Impact Index Per Article: 21.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
Abstract
A general formulation to compute anharmonic vibrational averages and transition properties at the second-order of perturbation theory is derived from the Rayleigh-Schrödinger development. This approach is intended to be applicable to any property expanded as a Taylor series up to the third order with respect to normal coordinates or their associated momenta. The equations are straightforward to implement and can be easily adapted to various properties, as illustrated for the case of electric and magnetic dipole moments. From those, infrared and vibrational circular dichroism spectra can be readily obtained. This fully automatic procedure has been applied to several chiral molecules of small-to-medium sizes and compared to the standard double harmonic approximation and to experimental data.
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Affiliation(s)
- Julien Bloino
- Consiglio Nazionale delle Ricerche, Istituto di Chimica dei Composti OrganoMetallici (ICCOM-CNR), UOS di Pisa, Area della Ricerca CNR, Via G. Moruzzi 1, 56124 Pisa, Italy.
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33
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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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34
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Arapiraca AFC, Jonsson D, Mohallem JR. Vibrationally averaged post Born-Oppenheimer isotopic dipole moment calculations approaching spectroscopic accuracy. J Chem Phys 2011; 135:244313. [DOI: 10.1063/1.3671940] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Hansen MB, Christiansen O. Vibrational contributions to cubic response functions from vibrational configuration interaction response theory. J Chem Phys 2011; 135:154107. [DOI: 10.1063/1.3652895] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
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36
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Zoccante A, Seidler P, Christiansen O. Computation of expectation values from vibrational coupled-cluster at the two-mode coupling level. J Chem Phys 2011; 134:154101. [DOI: 10.1063/1.3560027] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022] Open
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37
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Chernyshev KA, Krivdin LB. Quantum-chemical calculations of NMR chemical shifts of organic molecules: II. Influence of medium, relativistic effects, and vibrational corrections on phosphorus magnetic shielding constants in the simplest phosphines and phosphine chalcogenides. RUSSIAN JOURNAL OF ORGANIC CHEMISTRY 2011. [DOI: 10.1134/s1070428011030043] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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38
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Chen X, Rinkevicius Z, Cao Z, Ruud K, Agren H. Zero-point vibrational corrections to isotropic hyperfine coupling constants in polyatomic molecules. Phys Chem Chem Phys 2010; 13:696-707. [PMID: 21063618 DOI: 10.1039/c0cp01443e] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
The present work addresses isotropic hyperfine coupling constants in polyatomic systems with a particular emphasis on a largely neglected, but a posteriori significant, effect, namely zero-point vibrational corrections. Using the density functional restricted-unrestricted approach, the zero-point vibrational corrections are evaluated for the allyl radical and four of its derivatives. In addition for establishing the numerical size of the zero-point vibrational corrections to the isotropic hyperfine coupling constants, we present simple guidelines useful for identifying hydrogens for which such corrections are significant. Based on our findings, we critically re-examine the computational procedures used for the determination of hyperfine coupling constants in general as well as the practice of using experimental hyperfine coupling constants as reference data when benchmarking and optimizing exchange-correlation functionals and basis sets for such calculations.
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Affiliation(s)
- Xing Chen
- Department of Chemistry and State Key Laboratory of Physical Chemistry of Solid Surfaces, Xiamen University, Xiamen 361005, China
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39
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Puzzarini C, Stanton JF, Gauss J. Quantum-chemical calculation of spectroscopic parameters for rotational spectroscopy. INT REV PHYS CHEM 2010. [DOI: 10.1080/01442351003643401] [Citation(s) in RCA: 188] [Impact Index Per Article: 13.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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40
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Aidas K, Mikkelsen KV, Kongsted J. On the existence of the H3 tautomer of adenine in aqueous solution. Rationalizations based on hybrid quantum mechanics/molecular mechanics predictions. Phys Chem Chem Phys 2010; 12:761-8. [DOI: 10.1039/b915604f] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
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41
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Carbonnière P, Dargelos A, Pouchan C. The VCI-P code: an iterative variation–perturbation scheme for efficient computations of anharmonic vibrational levels and IR intensities of polyatomic molecules. Theor Chem Acc 2009. [DOI: 10.1007/s00214-009-0689-7] [Citation(s) in RCA: 74] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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42
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Dumez JN, Pickard CJ. Calculation of NMR chemical shifts in organic solids: accounting for motional effects. J Chem Phys 2009; 130:104701. [PMID: 19292543 DOI: 10.1063/1.3081630] [Citation(s) in RCA: 89] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023] Open
Abstract
NMR chemical shifts were calculated from first principles for well defined crystalline organic solids. These density functional theory calculations were carried out within the plane-wave pseudopotential framework, in which truly extended systems are implicitly considered. The influence of motional effects was assessed by averaging over vibrational modes or over snapshots taken from ab initio molecular dynamics simulations. It is observed that the zero-point correction to chemical shifts can be significant, and that thermal effects are particularly noticeable for shielding anisotropies and for a temperature-dependent chemical shift. This study provides insight into the development of highly accurate first principles calculations of chemical shifts in solids, highlighting the role of motional effects on well defined systems.
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Affiliation(s)
- Jean-Nicolas Dumez
- School of Physics and Astronomy, University of St-Andrews, St Andrews KY16 9SS, United Kingdom.
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43
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Mališ M, Matanović I, Došlić N. A Computational Study of Electronic and Spectroscopic Properties of Formic Acid Dimer Isotopologues. J Phys Chem A 2009; 113:6034-40. [DOI: 10.1021/jp901067u] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- M. Mališ
- Department of Physical Chemistry, R. Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
| | - I. Matanović
- Department of Physical Chemistry, R. Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
| | - N. Došlić
- Department of Physical Chemistry, R. Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
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Pedersen TB, Kongsted J, Crawford TD, Ruud K. On the importance of vibrational contributions to small-angle optical rotation: Fluoro-oxirane in gas phase and solution. J Chem Phys 2009; 130:034310. [DOI: 10.1063/1.3054301] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023] Open
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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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Chrappová J, Schwendt P, Sivák M, Repiský M, Malkin VG, Marek J. Dinuclear fluoro-peroxovanadium(v) complexes with symmetric and asymmetric peroxo bridges: syntheses, structures and DFT studies. Dalton Trans 2008:465-73. [PMID: 19122903 DOI: 10.1039/b813228c] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
Two new dinuclear fluoro peroxovanadium(v) complexes, Cs3[V2O2(O2)4F] x H2O (1) and Cs3[V2O2(O2)3F3] x 2HF x H2O (2), were prepared and characterized by elemental analysis, IR spectroscopy, thermal analysis and X-ray crystallography. While the anion in possesses an asymmetric structure with a micro-eta1:eta2 bridging peroxo group, the [V2O2(O2)3F3]3- ion in exhibits a symmetrical structure with a unique mu-fluoro and micro-eta2:eta2 peroxo double bridge. The X-ray structure data were compared with equilibrium and vibrationally-averaged (effective) DFT calculated geometries. The decomposition reactions of and in aqueous solution were studied by 51V NMR spectroscopy. The calculations of vibrationally averaged NMR chemical shifts (DFT-GIAO) were used to support the empirical assignment of NMR signals and afforded excellent agreement with experimental values for the studied peroxovanadium species. The ESI mass spectra of the prepared compounds are in accordance with the assignment of NMR spectra and with DFT study.
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Affiliation(s)
- Jana Chrappová
- Comenius University, Faculty of Natural Sciences, Department of Inorganic Chemistry, Mlynská dolina, Bratislava, Slovak Republic
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Alexander SA, Coldwell RL. Fully nonadiabatic properties of all H2 isotopomers. J Chem Phys 2008; 129:114306. [DOI: 10.1063/1.2978172] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
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Pichierri F. Molecular structure of the octatetranyl anion, C8H-: a computational study. J Phys Chem A 2008; 112:7717-22. [PMID: 18666765 DOI: 10.1021/jp710297g] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
The equilibrium molecular structure of the octatetranyl anion, C8H(-), which has been recently detected in two astronomical environments, is investigated with the aid of both ab initio post-Hartree-Fock and density functional theory (DFT) calculations. The model chemistry adopted in this study was selected after a series of benchmark calculations performed on molecular acetylene for which accurate gas-phase structural data are available. Geometry optimizations performed at the CCSD/6-311+G(2d,p), QCISD/6-311+G(2d,p), and MP4(SDQ)/6-311+G(2d,p) levels of theory yield for C8H(-) an interesting polyyne-type structure that defies the chemical formula displaying a simple alternation of triple and single carbon-carbon bonds, [:C[triple bond]C-C[triple bond]C-C[triple bond]C-C[triple bond]CH](1-). In the optimized geometry of C8H(-), as one proceeds from the naked carbon atom on one side of the chain to the CH unit on the opposite side of the chain, the short (formally triple) carbon-carbon bonds decrease in length from 1.255 to 1.213 A whereas the long (formally single) carbon-carbon bonds increase (albeit only slightly) in length from 1.362 to 1.378 A (CCSD results). In striking contrast, both MP2 and DFT (B3LYP and PBE0) calculations fail in reproducing the pattern of the carbon-carbon bond lengths obtained with the CCSD, QCISD, and MP4 methods. The structures of three shorter n-even chains, C(n)H(-) (n = 2, 4, and 6), along with those of four n-odd compounds (n = 3, 5, 7, and 9) are also investigated at the CCSD/6-311+G(2d,p) level of theory.
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Affiliation(s)
- Fabio Pichierri
- G-COE Laboratory, Department of Applied Chemistry, Graduate School of Engineering, Tohoku University, Aoba-yama 6-6-07, Sendai 980-8579, Japan.
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Hansen MB, Kongsted J, Toffoli D, Christiansen O. Vibrational Contributions to Indirect Spin−Spin Coupling Constants Calculated via Variational Anharmonic Approaches. J Phys Chem A 2008; 112:8436-45. [DOI: 10.1021/jp804306s] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Mikkel B. Hansen
- The Lundbeck Foundation Center for Theoretical Chemistry and Center for Oxygen Microscopy and Imaging, Department of Chemistry, University of Århus, Langelandsgade 140, DK-8000 Århus C, Denmark, and Department of Theoretical Chemistry, Chemical Center, University of Lund, P.O. Box 124, S-221 00 Lund, Sweden
| | - Jacob Kongsted
- The Lundbeck Foundation Center for Theoretical Chemistry and Center for Oxygen Microscopy and Imaging, Department of Chemistry, University of Århus, Langelandsgade 140, DK-8000 Århus C, Denmark, and Department of Theoretical Chemistry, Chemical Center, University of Lund, P.O. Box 124, S-221 00 Lund, Sweden
| | - Daniele Toffoli
- The Lundbeck Foundation Center for Theoretical Chemistry and Center for Oxygen Microscopy and Imaging, Department of Chemistry, University of Århus, Langelandsgade 140, DK-8000 Århus C, Denmark, and Department of Theoretical Chemistry, Chemical Center, University of Lund, P.O. Box 124, S-221 00 Lund, Sweden
| | - Ove Christiansen
- The Lundbeck Foundation Center for Theoretical Chemistry and Center for Oxygen Microscopy and Imaging, Department of Chemistry, University of Århus, Langelandsgade 140, DK-8000 Århus C, Denmark, and Department of Theoretical Chemistry, Chemical Center, University of Lund, P.O. Box 124, S-221 00 Lund, Sweden
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Kongsted J, Ruud K. Solvent effects on zero-point vibrational corrections to optical rotations and nuclear magnetic resonance shielding constants. Chem Phys Lett 2008. [DOI: 10.1016/j.cplett.2007.12.008] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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