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Mellor TM. Molecular frames for a symmetry-adapted rotational basis set. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2118638] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
Affiliation(s)
- Thomas M. Mellor
- Department of Physics and Astronomy, University College London, London, UK
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2
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Tyuterev V, Tashkun S, Rey M, Nikitin A. High-order contact transformations of molecular Hamiltonians: general approach, fast computational algorithm and convergence of ro-vibrational polyad models. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2096140] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
Affiliation(s)
- Vladimir Tyuterev
- Groupe de Spectrométrie Moléculaire et Atmosphérique, Université de Reims, Reims, France
- Laboratory of Molecular Quantum Mechanics and Radiative Transfer, Tomsk State University, Tomsk, Russia
| | - Sergey Tashkun
- Laboratory of Theoretical Spectroscopy, V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, Tomsk, Russia
| | - Michael Rey
- Groupe de Spectrométrie Moléculaire et Atmosphérique, Université de Reims, Reims, France
| | - Andrei Nikitin
- Laboratory of Theoretical Spectroscopy, V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, Tomsk, Russia
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3
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Nikitin AV, Rey M, Chizhmakova IS, Tyuterev VG. First Full-Dimensional Potential Energy and Dipole Moment Surfaces of SF6. J Phys Chem A 2020; 124:7014-7023. [DOI: 10.1021/acs.jpca.0c02733] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Andrei V. Nikitin
- V.E. Zuev Institute of Atmospheric Optics, Russian Academy of Sciences, 1, Akademichesky Avenue, 634055 Tomsk, Russian Federation
| | - Michael Rey
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 6089, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
| | - Iana S. Chizhmakova
- Institute of Monitoring of Climatic and Ecological Systems, Russian Academy of Sciences, 10/3, Academichesky Avenue, 634055 Tomsk, Russian Federation
- QUAMER Laboratory, Tomsk State University, 36 Lenin Avenue, 634050 Tomsk, Russian Federation
| | - Vladimir G. Tyuterev
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 6089, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
- QUAMER Laboratory, Tomsk State University, 36 Lenin Avenue, 634050 Tomsk, Russian Federation
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Rey M. Group-theoretical formulation of an Eckart-frame kinetic energy operator in curvilinear coordinates for polyatomic molecules. J Chem Phys 2019; 151:024101. [DOI: 10.1063/1.5109482] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Michael Rey
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, BP 1039, F-51687 Reims Cedex 2, France
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5
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Nikitin AV, Protasevich AE, Rey M, Tyuterev VG. Highly excited vibrational levels of methane up to 10 300 cm -1: Comparative study of variational methods. J Chem Phys 2018; 149:124305. [PMID: 30278662 DOI: 10.1063/1.5042154] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023] Open
Abstract
In this work, we report calculated vibrational energy levels of the methane molecule up to 10 300 cm-1. Two potential energy surfaces constructed in quite different coordinate systems with different analytical representations are employed in order to evaluate the uncertainty of vibrational predictions. To calculate methane energy levels, we used two independent techniques of the variational method. One method uses an exact kinetic energy operator in internal curvilinear coordinates. Another one uses an expansion of Eckart-Watson nuclear motion Hamiltonian in rectilinear normal coordinates. In the Icosad range (up to five vibrational quanta bands-below 7800 cm-1), the RMS standard deviations between calculated and observed energy levels were 0.22 cm-1 and 0.41 cm-1 for these two quite different approaches. For experimentally well-known 3v3 sub-levels, the calculation accuracy is estimated to be ∼1 cm-1. In the Triacontad range (7660-9188 cm-1), the average error of the calculation is about 0.5 cm-1. The accuracy and convergence issues for higher energy ranges are discussed.
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Affiliation(s)
- Andrei V Nikitin
- V.E. Zuev Institute of Atmospheric Optics, Russian Academy of Sciences, 1, Akademichesky Avenue, 634055 Tomsk, Russian Federation
| | - Alexander E Protasevich
- V.E. Zuev Institute of Atmospheric Optics, Russian Academy of Sciences, 1, Akademichesky Avenue, 634055 Tomsk, Russian Federation
| | - Michael Rey
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
| | - Vladimir G Tyuterev
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
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Rey M, Chizhmakova IS, Nikitin AV, Tyuterev VG. Understanding global infrared opacity and hot bands of greenhouse molecules with low vibrational modes from first-principles calculations: the case of CF 4. Phys Chem Chem Phys 2018; 20:21008-21033. [PMID: 30070661 DOI: 10.1039/c8cp03252a] [Citation(s) in RCA: 29] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Fluorine containing molecules have a particularly long atmospheric lifetime and their very big estimated global warming potentials are expected to rapidly increase in the future. This work is focused on the global theoretical prediction of infrared spectra of the tetrafluoromethane molecule that is considered as a potentially powerful greenhouse gas having the largest estimated lifetime of over 50 000 years in the atmosphere. The presence of relatively low vibrational frequencies makes the Boltzmann population of the excited levels important. Consequently, the "hot bands" corresponding to transitions among excited rovibrational states contribute significantly to the CF4 opacity in the infrared even at room temperature conditions but the existing laboratory data analyses are not sufficiently complete. In this work, we construct the first accurate and complete ab initio based line lists for CF4 in the range 0-4000 cm-1, containing rovibrational bands that are the most active in absorption. An efficient basis set compression method was applied to predict more than 700 new bands and subbands via variational nuclear motion calculations. We show that already at room temperature a quasi-continuum of overlapping weak lines appears in the CF4 infrared spectra due to the increasing density of bands and transitions. In order to converge the infrared opacity at room temperature, it was necessary to include a high rotational quantum number up to J = 80 resulting in 2 billion rovibrational transitions. In order to make the cross-section simulation faster, we have partitioned our data into two parts: (a) strong & medium line lists with lower energy levels for calculation of selective absorption features that can be used at various temperatures and (b) compressed "super-line" libraries of very weak transitions contributing to the quasi-continuum modelling. Comparisons with raw previously unassigned experimental spectra showed a very good accuracy for integrated absorbance in the entire range of the reported spectra predictions. The data obtained in this work will be made available through the TheoReTS information system (http://theorets.univ-reims.fr, http://theorets.tsu.ru) that contains ab initio born line lists and provides a user-friendly graphical interface for a fast simulation of the CF4 absorption cross-sections and radiance under various temperature conditions from 80 K to 400 K.
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Affiliation(s)
- Michaël Rey
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, BP 1039, F-51687, Reims Cedex 2, France.
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Zhao Z, Chen J, Zhang Z, Zhang DH, Wang XG, Carrington T, Gatti F. Computing energy levels of CH4, CHD3, CH3D, and CH3F with a direct product basis and coordinates based on the methyl subsystem. J Chem Phys 2018; 148:074113. [DOI: 10.1063/1.5019323] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Zhiqiang Zhao
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
| | - Jun Chen
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
- Collaborative Innovation Center of Chemistry for Energy Materials (iChEM), College of Chemistry and Chemical Engineering, Xiamen University, Siming South Road 422, 361005 Xiamen, China
| | - Zhaojun Zhang
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
| | - Dong H. Zhang
- State Key Laboratory of Molecular Reaction Dynamics and Center for Theoretical and Computational Chemistry, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Dalian 116023, China
| | - Xiao-Gang Wang
- Chemistry Department, Queen’s University, Kingston, Ontario K7L 3N6, Canada
| | - Tucker Carrington
- Chemistry Department, Queen’s University, Kingston, Ontario K7L 3N6, Canada
| | - Fabien Gatti
- ISMO, Institut des Sciences Moléculaires d’Orsay - UMR 8214 CNRS/Université Paris-Sud, F-91405 Orsay, France
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8
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Protasevich AE, Nikitin AV. Matrix elements of vibration kinetic energy operator of tetrahedral molecules in non-orthogonal-dependent coordinates. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1366568] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Alexander E. Protasevich
- Laboratory of Atmospheric Absorption Spectroscopy, V.E. Zuev Institute of Atmospheric Optics, SB RAS, 1, Academician Zuev square, 634021, Tomsk, Russian Federation
| | - Andrei V. Nikitin
- Laboratory of Theoretical Spectroscopy, V.E. Zuev Institute of Atmospheric Optics, SB RAS, 1, Academician Zuev square, 634021, Tomsk, Russian Federation
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Yurchenko SN, Yachmenev A, Ovsyannikov RI. Symmetry-Adapted Ro-vibrational Basis Functions for Variational Nuclear Motion Calculations: TROVE Approach. J Chem Theory Comput 2017; 13:4368-4381. [DOI: 10.1021/acs.jctc.7b00506] [Citation(s) in RCA: 49] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Sergei N. Yurchenko
- Department
of Physics and Astronomy, University College London, London, WC1E 6BT, United Kingdom
| | - Andrey Yachmenev
- Center for Free-Electron Laser Science (CFEL), DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - Roman I. Ovsyannikov
- Institute of Applied Physics, Russian Academy of Sciences, Ulyanov Street 46, Nizhny Novgorod, Russia 603950
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Nikitin A, Rey M, Rodina A, Krishna BM, Tyuterev VG. Full-Dimensional Potential Energy and Dipole Moment Surfaces of GeH4 Molecule and Accurate First-Principle Rotationally Resolved Intensity Predictions in the Infrared. J Phys Chem A 2016; 120:8983-8997. [DOI: 10.1021/acs.jpca.6b07732] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- A.V. Nikitin
- Laboratory
of Theoretical Spectroscopy, V. E. Zuev Institute of Atmospheric Optics, SB RAS, 1, Academician Zuev Square, 634021 Tomsk, Russia
| | - M. Rey
- Groupe
de Spectrométrie Moléculaire et Atmosphérique,
UMR CNRS 7331, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
| | - A. Rodina
- Laboratory
of Quantum Mechanics of Molecules and Radiative Processes, Tomsk State University, 36 Lenin Avenue, 634050 Tomsk, Russia
| | - B. M. Krishna
- Laboratory
of Quantum Mechanics of Molecules and Radiative Processes, Tomsk State University, 36 Lenin Avenue, 634050 Tomsk, Russia
| | - Vl. G. Tyuterev
- Groupe
de Spectrométrie Moléculaire et Atmosphérique,
UMR CNRS 7331, Université de Reims, U.F.R. Sciences, B.P. 1039, 51687 Reims Cedex 2, France
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11
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Nikitin AV, Rey M, Tyuterev VG. First fullyab initiopotential energy surface of methane with a spectroscopic accuracy. J Chem Phys 2016. [DOI: 10.1063/1.4961973] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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12
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Yu HG. An exact variational method to calculate rovibrational spectra of polyatomic molecules with large amplitude motion. J Chem Phys 2016; 145:084109. [DOI: 10.1063/1.4961642] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Hua-Gen Yu
- Division of Chemistry, Department of Energy and Photon Sciences, Brookhaven National Laboratory, Upton, New York 11973-5000, USA
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13
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Sibaev M, Crittenden DL. An efficient and numerically stable procedure for generating sextic force fields in normal mode coordinates. J Chem Phys 2016; 144:214107. [DOI: 10.1063/1.4953080] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- M. Sibaev
- Department of Chemistry, University of Canterbury, Christchurch, New Zealand
| | - D. L. Crittenden
- Department of Chemistry, University of Canterbury, Christchurch, New Zealand
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14
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Yu HG, Han H, Guo H. Full-Dimensional Quantum Calculations of Vibrational Levels of NH4+ and Isotopomers on An Accurate Ab Initio Potential Energy Surface. J Phys Chem A 2016; 120:2185-93. [DOI: 10.1021/acs.jpca.6b01946] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hua-Gen Yu
- Department of Chemistry, Brookhaven National Laboratory, Upton, New York 11973, United States
| | - Huixian Han
- Department
of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, United States
- School of Physics, Northwest University, Xi’an, Shaanxi 710069, China
| | - Hua Guo
- Department
of Chemistry and Chemical Biology, University of New Mexico, Albuquerque, New Mexico 87131, United States
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Amyay B, Louviot M, Pirali O, Georges R, Vander Auwera J, Boudon V. Global analysis of the high temperature infrared emission spectrum of 12CH4 in the dyad (ν2/ν4) region. J Chem Phys 2016; 144:024312. [DOI: 10.1063/1.4939521] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Rey M, Nikitin AV, Campargue A, Kassi S, Mondelain D, Tyuterev VG. Ab initio variational predictions for understanding highly congested spectra: rovibrational assignment of 108 new methane sub-bands in the icosad range (6280–7800 cm−1). Phys Chem Chem Phys 2016; 18:176-89. [DOI: 10.1039/c5cp05265c] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
This work demonstrates for the first time how accurate first principles global calculations allow assigning complicated spectra of a molecule with more than 4 atoms.
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Affiliation(s)
- Michaël Rey
- Groupe de Spectrométrie Moléculaire et Atmosphérique
- Reims Cedex 2
- France
| | - Andrei V. Nikitin
- Laboratory of Theoretical Spectroscopy
- Institute of Atmospheric Optics
- SB RAS
- 634055 TOMSK
- Russia
| | | | - Samir Kassi
- Univ. Grenoble Alpes
- LIPhy
- F-38000 Grenoble
- France
- CNRS
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Yachmenev A, Yurchenko SN. Automatic differentiation method for numerical construction of the rotational-vibrational Hamiltonian as a power series in the curvilinear internal coordinates using the Eckart frame. J Chem Phys 2015; 143:014105. [DOI: 10.1063/1.4923039] [Citation(s) in RCA: 59] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- 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
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18
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Yu HG. Accurate quantum dynamics calculations of vibrational spectrum of dideuteromethane CH2D2. J Chem Phys 2015; 142:194307. [DOI: 10.1063/1.4921411] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Hua-Gen Yu
- Department of Chemistry, Brookhaven National Laboratory, Upton, New York 11973-5000, USA
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19
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Yu HG. Neural network iterative diagonalization method to solve eigenvalue problems in quantum mechanics. Phys Chem Chem Phys 2015; 17:14071-82. [DOI: 10.1039/c5cp01438g] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The neural network iterative diagonalization structure for computing the eigenstates of complex symmetric or Hermitian matrices.
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Affiliation(s)
- Hua-Gen Yu
- Department of Chemistry
- Brookhaven National Laboratory
- Upton
- USA
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