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Liu J, Zheng X, Asthana A, Zhang C, Cheng L. Analytic evaluation of energy first derivatives for spin-orbit coupled-cluster singles and doubles augmented with noniterative triples method: General formulation and an implementation for first-order properties. J Chem Phys 2021; 154:064110. [PMID: 33588557 DOI: 10.1063/5.0038779] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A formulation of analytic energy first derivatives for the coupled-cluster singles and doubles augmented with noniterative triples [CCSD(T)] method with spin-orbit coupling included at the orbital level and an implementation for evaluation of first-order properties are reported. The standard density-matrix formulation for analytic CC gradient theory adapted to complex algebra has been used. The orbital-relaxation contributions from frozen core, occupied, virtual, and frozen virtual orbitals to analytic spin-orbit CCSD(T) gradients are fully taken into account and treated efficiently, which is of importance to calculations of heavy elements. Benchmark calculations of first-order properties including dipole moments and electric-field gradients using the corresponding exact two-component property integrals are presented for heavy-element containing molecules to demonstrate the applicability and usefulness of the present analytic scheme.
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Affiliation(s)
- Junzi Liu
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Xuechen Zheng
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Ayush Asthana
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Chaoqun Zhang
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Lan Cheng
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
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Puzzarini C, Tasinato N, Bloino J, Spada L, Barone V. State-of-the-art computation of the rotational and IR spectra of the methyl-cyclopropyl cation: hints on its detection in space. Phys Chem Chem Phys 2019; 21:3431-3439. [PMID: 30110028 DOI: 10.1039/c8cp04629h] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Recent measurements by the Cassini Ion Neutral Mass Spectrometer demonstrated the presence of numerous carbocations in Titan's upper atmosphere. In [Ali et al., Planet. Space Sci., 2013, 87, 96], an analysis of these measurements revealed the formation of the three-membered cyclopropenyl cation and its methyl derivatives. As a starting point of a future coordinated effort of laboratory experiments, quantum-chemical calculations, and astronomical observations, in the present work the molecular structure and spectroscopic properties of the methyl-cyclopropenyl cation have been investigated by means of state-of-the-art computational approaches in order to simulate its rotational and infrared spectra. Rotational parameters have been predicted with an expected accuracy better than 0.1% for rotational constants and on the order of 1-2% for centrifugal-distortion terms. As for the infrared spectrum, despite the challenge of a large amplitude motion, fundamental transitions have been computed to a good accuracy, i.e., the uncertainties are expected to be smaller than 5-10 wavenumbers.
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Affiliation(s)
- Cristina Puzzarini
- Dipartimento di Chimica "Giacomo Ciamician", University of Bologna, via F. Selmi 2, I-40126 Bologna, Italy.
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Morgan WJ, Matthews DA, Ringholm M, Agarwal J, Gong JZ, Ruud K, Allen WD, Stanton JF, Schaefer HF. Geometric Energy Derivatives at the Complete Basis Set Limit: Application to the Equilibrium Structure and Molecular Force Field of Formaldehyde. J Chem Theory Comput 2018; 14:1333-1350. [DOI: 10.1021/acs.jctc.7b01138] [Citation(s) in RCA: 27] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- W. James Morgan
- Center for Computational Quantum Chemistry (CCQC), University of Georgia, Athens, Georgia 30602, United States
| | - Devin A. Matthews
- Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, Texas 78712, United States
| | - Magnus Ringholm
- Hylleraas Centre for Quantum Molecular Science, Department of Chemistry, University of Tromsø − The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Jay Agarwal
- Center for Computational Quantum Chemistry (CCQC), University of Georgia, Athens, Georgia 30602, United States
| | - Justin Z. Gong
- Department of Chemistry, University of Texas at Austin, Austin, Texas 78712, United States
| | - Kenneth Ruud
- Hylleraas Centre for Quantum Molecular Science, Department of Chemistry, University of Tromsø − The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Wesley D. Allen
- Center for Computational Quantum Chemistry (CCQC), University of Georgia, Athens, Georgia 30602, United States
| | - John F. Stanton
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, United States
| | - Henry F. Schaefer
- Center for Computational Quantum Chemistry (CCQC), University of Georgia, Athens, Georgia 30602, United States
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Jungwirth J, Šebestík J, Šafařík M, Kapitán J, Bouř P. Quantitative Determination of Ala-Ala Conformer Ratios in Solution by Decomposition of Raman Optical Activity Spectra. J Phys Chem B 2017; 121:8956-8964. [DOI: 10.1021/acs.jpcb.7b07154] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jakub Jungwirth
- Institute
of Organic Chemistry and Biochemistry, Academy of Sciences, Flemingovo
náměstí 2, 16610 Prague, Czech Republic
- Faculty
of Mathematics and Physics, Charles University, Ke Karlovu 3, 12116 Prague, Czech Republic
| | - Jaroslav Šebestík
- Institute
of Organic Chemistry and Biochemistry, Academy of Sciences, Flemingovo
náměstí 2, 16610 Prague, Czech Republic
| | - Martin Šafařík
- Institute
of Organic Chemistry and Biochemistry, Academy of Sciences, Flemingovo
náměstí 2, 16610 Prague, Czech Republic
| | - Josef Kapitán
- Department
of Optics, Palacký University, 17. listopadu 12, 77146 Olomouc, Czech Republic
| | - Petr Bouř
- Institute
of Organic Chemistry and Biochemistry, Academy of Sciences, Flemingovo
náměstí 2, 16610 Prague, Czech Republic
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Schmitz G, Christiansen O. Accuracy of Frequencies Obtained with the Aid of Explicitly Correlated Wave Function Based Methods. J Chem Theory Comput 2017; 13:3602-3613. [PMID: 28686442 DOI: 10.1021/acs.jctc.7b00476] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We asses the basis set convergence of harmonic frequencies using different explicitly correlated wave function based methods. All commonly available CCSD(T) variants as well as MP2-F12 and MP4(F12*) are considered, and a hierarchy of the different approaches is established. As for reaction and atomization energies, CCSD(F12*)(T*) is a close approximation to CCSD(F12)(T*) and clearly superior to the other tested approximations. The used scaling for the triples correction enhances the accuracy relative to CCSD(F12*)(T) especially for small basis sets and is very attractive since no additional computational costs are added. However, this scaling slightly breaks size consistency, and therefore we additionally study the accuracy of CCSD(F12*)(T*) and CCSD(F12*)(T) in the context of calculating anharmonic frequencies to check if this causes problems in the generation of the potential energy surface (PES). We find a fast basis set convergence for harmonic and anharmonic frequencies. Already in the cc-pVDZ-F12 basis, the RMSD to the CBS limit is only around 4-5 cm-1.
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Affiliation(s)
- Gunnar Schmitz
- Department of Chemistry, Aarhus University , Aarhus, Denmark
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de Souza GLC, Brown A. Probing ground and low-lying excited states for HIO2 isomers. J Chem Phys 2014; 141:234303. [DOI: 10.1063/1.4903789] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Gabriel L. C. de Souza
- Departamento de Química, Universidade Federal de Mato Grosso, Cuiabá, Mato Grosso 78060-900, Brazil
- Instituto de Ciências Exatas e Tecnologia, Universidade Federal do Amazonas, Itacoatiara, Amazonas 69100-000, Brazil
- Department of Chemistry, University of Alberta, Edmonton, Alberta T6G 2G2, Canada
| | - Alex Brown
- Department of Chemistry, University of Alberta, Edmonton, Alberta T6G 2G2, Canada
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Charmet AP, Stoppa P, Tasinato N, Giorgianni S, Barone V, Biczysko M, Bloino J, Cappelli C, Carnimeo I, Puzzarini C. An integrated experimental and quantum-chemical investigation on the vibrational spectra of chlorofluoromethane. J Chem Phys 2013; 139:164302. [PMID: 24182024 PMCID: PMC4612436 DOI: 10.1063/1.4825380] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The vibrational analysis of the gas-phase infrared spectra of chlorofluoromethane (CH2ClF, HCFC-31) was carried out in the range 200-6200 cm(-1). The assignment of the absorption features in terms of fundamental, overtone, combination, and hot bands was performed on the medium-resolution (up to 0.2 cm(-1)) Fourier transform infrared spectra. From the absorption cross section spectra accurate values of the integrated band intensities were derived and the global warming potential of this compound was estimated, thus obtaining values of 323, 83, and 42 on a 20-, 100-, and 500-year horizon, respectively. The set of spectroscopic parameters here presented provides the basic data to model the atmospheric behavior of this greenhouse gas. In addition, the obtained vibrational properties were used to benchmark the predictions of state-of-the-art quantum-chemical computational strategies. Extrapolated complete basis set limit values for the equilibrium geometry and harmonic force field were obtained at the coupled-cluster singles and doubles level of theory augmented by a perturbative treatment of triple excitations, CCSD(T), in conjunction with a hierarchical series of correlation-consistent basis sets (cc-pVnZ, with n = T, Q, and 5), taking also into account the core-valence correlation effects and the corrections due to diffuse (aug) functions. To obtain the cubic and quartic semi-diagonal force constants, calculations employing second-order Møller-Plesset perturbation (MP2) theory, the double-hybrid density functional B2PLYP as well as CCSD(T) were performed. For all anharmonic force fields the performances of two different perturbative approaches in computing the vibrational energy levels (i.e., the generalized second order vibrational treatment, GVPT2, and the recently proposed hybrid degeneracy corrected model, HDCPT2) were evaluated and the obtained results allowed us to validate the spectroscopic predictions yielded by the HDCPT2 approach. The predictions of the deperturbed second-order perturbation approach, DVPT2, applied to the computation of infrared intensities beyond the double-harmonic approximation were compared to the accurate experimental values here determined. Anharmonic DFT and MP2 corrections to CCSD(T) intensities led to a very good agreement with the absorption cross section measurements over the whole spectral range here analysed.
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Affiliation(s)
- Andrea Pietropolli Charmet
- Dipartimento di Scienze Molecolari e Nanosistemi, Università Ca’ Foscari Venezia, Calle Larga S. Marta 2137, I-30123 Venezia, Italy
| | - Paolo Stoppa
- Dipartimento di Scienze Molecolari e Nanosistemi, Università Ca’ Foscari Venezia, Calle Larga S. Marta 2137, I-30123 Venezia, Italy
| | - Nicola Tasinato
- Dipartimento di Scienze Molecolari e Nanosistemi, Università Ca’ Foscari Venezia, Calle Larga S. Marta 2137, I-30123 Venezia, Italy
| | - Santi Giorgianni
- Dipartimento di Scienze Molecolari e Nanosistemi, Università Ca’ Foscari Venezia, Calle Larga S. Marta 2137, I-30123 Venezia, Italy
| | - Vincenzo Barone
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
- Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Pisa, Polo Fibonacci Largo B. Pontecorvo 3, I-56127 Pisa, Italy
| | | | - Julien Bloino
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
- Consiglio Nazionale delle Ricerche, Istituto di Chimica dei Composti OrganoMetallici (CNR-ICCOM), Area della Ricerca CNR di Pisa, Via G. Moruzzi 1, I-56124 Pisa, Italy
| | - Chiara Cappelli
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
- Universita’ di Pisa, Dipartimento di Chimica e Chimica Industriale, Via Risorgimento 35, I-56126 Pisa, Italy
| | - Ivan Carnimeo
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
- Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Pisa, Polo Fibonacci Largo B. Pontecorvo 3, I-56127 Pisa, Italy
- Universita’ di Pisa, Dipartimento di Chimica e Chimica Industriale, Via Risorgimento 35, I-56126 Pisa, Italy
| | - Cristina Puzzarini
- Dipartimento di Chimica “Giacomo Ciamician”, Università di Bologna, Via F. Selmi, 2, 40126 Bologna, Italy
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Carnimeo I, Puzzarini C, Tasinato N, Stoppa P, Charmet AP, Biczysko M, Cappelli C, Barone V. Anharmonic theoretical simulations of infrared spectra of halogenated organic compounds. J Chem Phys 2013; 139:074310. [PMID: 23968095 PMCID: PMC4604659 DOI: 10.1063/1.4817401] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The recent implementation of the computation of infrared (IR) intensities beyond the double-harmonic approximation [J. Bloino and V. Barone, J. Chem. Phys. 136, 124108 (2012)] paved the route to routine calculations of infrared spectra for a wide set of molecular systems. Halogenated organic compounds represent an interesting class of molecules, from both an atmospheric and computational point of view, due to the peculiar chemical features related to the halogen atoms. In this work, we simulate the IR spectra of eight halogenated molecules (CH2F2, CHBrF2, CH2DBr, CF3Br, CH2CHF, CF2CFCl, cis-CHFCHBr, cis-CHFCHI), using two common hybrid and double-hybrid density functionals in conjunction with both double- and triple-ζ quality basis sets (SNSD and cc-pVTZ) as well as employing the coupled-cluster theory with basis sets of at least triple-ζ quality. Finally, we compare our results with available experimental spectra, with the aim of checking the accuracy and the performances of the computational approaches.
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Affiliation(s)
- Ivan Carnimeo
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via Risorgimento 35, I-56126 Pisa, Italy.
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Polyansky OL, Ovsyannikov RI, Kyuberis AA, Lodi L, Tennyson J, Zobov NF. Calculation of Rotation–Vibration Energy Levels of the Water Molecule with Near-Experimental Accuracy Based on an ab Initio Potential Energy Surface. J Phys Chem A 2013; 117:9633-43. [DOI: 10.1021/jp312343z] [Citation(s) in RCA: 62] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Oleg L. Polyansky
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E
6BT, United Kingdom
- Institute
of Applied Physics, Russian Academy of Science, Ulyanov Street 46, Nizhny
Novgorod 603950, Russia
| | - Roman I. Ovsyannikov
- Institute
of Applied Physics, Russian Academy of Science, Ulyanov Street 46, Nizhny
Novgorod 603950, Russia
| | - Aleksandra A. Kyuberis
- Institute
of Applied Physics, Russian Academy of Science, Ulyanov Street 46, Nizhny
Novgorod 603950, Russia
| | - Lorenzo Lodi
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E
6BT, United Kingdom
| | - Jonathan Tennyson
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E
6BT, United Kingdom
| | - Nikolai F. Zobov
- Institute
of Applied Physics, Russian Academy of Science, Ulyanov Street 46, Nizhny
Novgorod 603950, Russia
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Barone V, Biczysko M, Bloino J, Puzzarini C. Accurate structure, thermodynamic and spectroscopic parameters from CC and CC/DFT schemes: the challenge of the conformational equilibrium in glycine. Phys Chem Chem Phys 2013; 15:10094-111. [PMID: 23599122 DOI: 10.1039/c3cp50439e] [Citation(s) in RCA: 99] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The structures, relative stabilities, and infrared spectra of the six low-energy conformers of glycine have been characterized using a state-of-the-art quantum-mechanical approach allowing the bond distances, conformational enthalpies and vibrational frequencies to be determined well within the chemical accuracy. Transition state structures governing interconversion among the different energy minima have also been characterized. In detail, the gas-phase thermodynamic properties (at 15 K and 410 K) of the glycine conformers considered have been obtained with a 1 kJ mol(-1) accuracy, and it has been shown that the employment of DFT geometries usually reduces such accuracy by at most 0.1 kJ mol(-1). Regarding molecular structures, the use of two different composite schemes allowed us to further confirm the suitability of a rather cost-effective approach and provide geometrical parameters with an overall accuracy better than 0.002 Å for distances and 1 degree for angles. Thanks to a hybrid CC/DFT approach, the infrared spectra of all conformers considered and of several deuterated isotopologues have been reproduced (when experimental data were available) or predicted with an accuracy of 10 cm(-1). Finally, the joint thermodynamic and spectroscopic investigation allowed us to shed some light on the possible observation of elusive conformers. On the whole, the high accuracy of the computational results allows us to draw a fully consistent interpretation of the available experimental data and to obtain a more complete characterization of the potential energy surface of glycine.
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Affiliation(s)
- Vincenzo Barone
- Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy.
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Krasnoshchekov SV, Craig NC, Stepanov NF. Anharmonic Vibrational Analysis of the Gas-Phase Infrared Spectrum of 1,1-Difluoroethylene Using the Operator Van Vleck Canonical Perturbation Theory. J Phys Chem A 2013; 117:3041-56. [DOI: 10.1021/jp311398z] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - Norman C. Craig
- Department of Chemistry
and Biochemistry, Oberlin College, Oberlin, Ohio 44074, United States
| | - Nikolay F. Stepanov
- Lomonosov Moscow State University, Leninskiye Gory, 119991 Moscow, Russian
Federation
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Barone V, Biczysko M, Bloino J, Puzzarini C. Characterization of the Elusive Conformers of Glycine from State-of-the-Art Structural, Thermodynamic, and Spectroscopic Computations: Theory Complements Experiment. J Chem Theory Comput 2013; 9:1533-47. [DOI: 10.1021/ct3010672] [Citation(s) in RCA: 66] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Affiliation(s)
- Vincenzo Barone
- Scuola Normale Superiore, Piazza
dei Cavalieri 7, I-56126 Pisa, Italy
| | - Malgorzata Biczysko
- Center for Nanotechnology Innovation
@NEST, Istituto Italiano di Tecnologia, Piazza San Silvestro 12, I-56127
Pisa, Italy
| | - Julien Bloino
- Scuola Normale Superiore, Piazza
dei Cavalieri 7, I-56126 Pisa, Italy
- Consiglio Nazionale
delle Ricerche,
Istituto di Chimica dei Composti OrganoMetallici (ICCOM-CNR), UOS
di Pisa, Area della Ricerca CNR, Via G. Moruzzi 1, I-56124 Pisa, Italy
| | - Cristina Puzzarini
- Dipartimento di Chimica “G.
Ciamician,” Università di Bologna, Via F. Selmi 2, 40126
Bologna, Italy
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Affiliation(s)
- Joseph R. Lane
- Department
of Chemistry, University of Waikato, Private Bag 3105, Hamilton, New Zealand
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Begue D, Pouchan C, Guillemin JC, Benidar A. Anharmonic treatment of vibrational resonance polyads—the diborane: a critical case for numerical methods. Theor Chem Acc 2012. [DOI: 10.1007/s00214-012-1122-1] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Yachmenev A, Yurchenko SN, Ribeyre T, Thiel W. High-level ab initio potential energy surfaces and vibrational energies of H2CS. J Chem Phys 2011; 135:074302. [DOI: 10.1063/1.3624570] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kahn K, Kirtman B, Noga J, Ten-no S. Anharmonic vibrational analysis of water with traditional and explicitly correlated coupled cluster methods. J Chem Phys 2010; 133:074106. [DOI: 10.1063/1.3464837] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
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Feller D, Peterson KA. High level coupled cluster determination of the structure, frequencies, and heat of formation of water. J Chem Phys 2009; 131:154306. [DOI: 10.1063/1.3246353] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
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Huang X, Lee TJ. A procedure for computing accurateab initioquartic force fields: Application to HO2+ and H2O. J Chem Phys 2008; 129:044312. [DOI: 10.1063/1.2957488] [Citation(s) in RCA: 134] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
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