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Nasiri S, Shomenov T, Bubin S, Adamowicz L. Dissociation energy and the lowest vibrational transition in LiH without assuming the non-Born–Oppenheimer approximation. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2147105] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- Saeed Nasiri
- Department of Physics, Nazarbayev University, Nur-Sultan, Kazakhstan
| | | | - Sergiy Bubin
- Department of Physics, Nazarbayev University, Nur-Sultan, Kazakhstan
| | - Ludwik Adamowicz
- Department of Chemistry and Biochemistry, University of Arizona, Tucson, AZ, USA
- Department of Physics, University of Arizona, Tucson, AZ, USA
- Centre for Advanced Study (CAS), the Norwegian Academy of Science and Letters, Oslo, Norway
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2
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Blavier M, Gelfand N, Levine R, Remacle F. Entanglement of electrons and nuclei: A most compact representation of the molecular wave function. Chem Phys Lett 2022. [DOI: 10.1016/j.cplett.2022.139885] [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]
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3
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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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4
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Beutel M, Ahrens A, Huang C, Suzuki Y, Varga K. Deformed explicitly correlated Gaussians. J Chem Phys 2021; 155:214103. [PMID: 34879658 DOI: 10.1063/5.0066427] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Deformed explicitly correlated Gaussian (DECG) basis functions are introduced, and their matrix elements are calculated. All matrix elements can be calculated analytically in a closed form, except the Coulomb one, which has to be approximated by a Gaussian expansion. The DECG basis functions can be used to solve problems with nonspherical potentials. One example of such potential is the dipole self-interaction term in the Pauli-Fierz Hamiltonian. Examples are presented showing the accuracy and necessity of deformed Gaussian basis functions to accurately solve light-matter coupled systems in cavity QED.
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Affiliation(s)
- Matthew Beutel
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
| | - Alexander Ahrens
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
| | - Chenhang Huang
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
| | | | - Kálmán Varga
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
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5
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Tajti A, Szalay PG, Kochanov R, Tyuterev VG. Diagonal Born-Oppenheimer corrections to the ground electronic state potential energy surfaces of ozone: improvement of ab initio vibrational band centers for the 16O 3, 17O 3 and 18O 3 isotopologues. Phys Chem Chem Phys 2020; 22:24257-24269. [PMID: 33089270 DOI: 10.1039/d0cp02457k] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Mass-dependent diagonal Born-Oppenheimer corrections (DBOCs) to the ab initio electronic ground state potential energy surface for the main 16O3 isotopologue and for homogeneous isotopic substitutions 17O3 and 18O3 of the ozone molecule are reported for the first time. The system being of strongly multiconfigurational character, multireference configuration interaction wave function ansatz with different complete active spaces was used. The reliable DBOC calculations with the targeted accuracy were possible to carry out up to about half of the dissociation threshold D0. The comparison with the experimental band centers shows a significant improvement of the accuracy with respect to the best Born-Oppenheimer (BO) ab initio calculations reducing the total root-mean-squares (calculated-observed) deviations by about a factor of two. For the set of 16O3 vibrations up to five bending and four stretching quanta, the mean (calculated-observed) deviations drop down from 0.7 cm-1 (BO) to about 0.1 cm-1, with the most pronounced improvement seen for bending states and for mixed bending-stretching polyads. In the case of bending band centers directly observed under high spectral resolutions, the errors are reduced by more than an order of magnitude down to 0.02 cm-1 from the observed levels, approaching nearly experimental accuracy. A similar improvement for heavy isotopologues shows that the reported DBOC corrections almost remove the systematic BO errors in vibrational levels below D0/2, though the scatter increases towards higher energies. The possible reasons for this finding, as well as remaining issues are discussed in detail. The reported results provide an encouraging accuracy validation for the multireference methods of the ab initio theory. New sets of ab initio vibrational states can be used for improving effective spectroscopic models for analyses of the observed high-resolution spectra, particularly in the cases of accidental resonances with "dark" states requiring accurate theoretical predictions.
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Affiliation(s)
- Attila Tajti
- ELTE Eötvös Loránd University, Institute of Chemistry, Laboratory of Theoretical Chemistry, P. O. Box 32, H-1518, Budapest 112, Hungary.
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6
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Matthews DA, Cheng L, Harding ME, Lipparini F, Stopkowicz S, Jagau TC, Szalay PG, Gauss J, Stanton JF. Coupled-cluster techniques for computational chemistry: The CFOUR program package. J Chem Phys 2020; 152:214108. [DOI: 10.1063/5.0004837] [Citation(s) in RCA: 214] [Impact Index Per Article: 53.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Affiliation(s)
- Devin A. Matthews
- Department of Chemistry, Southern Methodist University, Dallas, Texas 75275, USA
| | - Lan Cheng
- Department of Chemistry, Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Michael E. Harding
- Institut für Physikalische Chemie, Karlsruher Institut für Technologie (KIT), Kaiserstr. 12, D-76131 Karlsruhe, Germany
| | - Filippo Lipparini
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via G. Moruzzi 13, I-56124 Pisa, Italy
| | - Stella Stopkowicz
- Department Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
| | - Thomas-C. Jagau
- Department of Chemistry, University of Munich (LMU), Butenandtstr. 5-13, D-81377 Munich, Germany
| | - Péter G. Szalay
- ELTE Eötvös Loránd University, Institute of Chemistry, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary
| | - Jürgen Gauss
- Department Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
| | - John F. Stanton
- Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, Gainesville, Florida 32611, USA
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7
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8
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van den Wildenberg S, Mignolet B, Levine RD, Remacle F. Temporal and spatially resolved imaging of the correlated nuclear-electronic dynamics and of the ionized photoelectron in a coherently electronically highly excited vibrating LiH molecule. J Chem Phys 2019; 151:134310. [DOI: 10.1063/1.5116250] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Stephan van den Wildenberg
- Theoretical Physical Chemistry, Research Unit Molecular Systems, University of Liège, B4000 Liège, Belgium
| | - Benoit Mignolet
- Theoretical Physical Chemistry, Research Unit Molecular Systems, University of Liège, B4000 Liège, Belgium
| | - R. D. Levine
- The Fritz Haber Research Center for Molecular Dynamics and Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
- Department of Chemistry and Biochemistry, David Geffen School of Medicine, University of California, Los Angeles, California 90095, USA
- Department of Molecular and Medical Pharmacology, David Geffen School of Medicine, University of California, Los Angeles, California 90095, USA
| | - F. Remacle
- Theoretical Physical Chemistry, Research Unit Molecular Systems, University of Liège, B4000 Liège, Belgium
- The Fritz Haber Research Center for Molecular Dynamics and Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
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9
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Amaral PHR, Stanke M, Adamowicz L, Diniz LG, Mohallem JR, Alijah A. Non-adiabatic effects in the H 3+ spectrum. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2019; 377:20180411. [PMID: 31378173 PMCID: PMC6710893 DOI: 10.1098/rsta.2018.0411] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 04/03/2019] [Indexed: 06/10/2023]
Abstract
The effect of non-adiabatic coupling on the computed rovibrational energy levels amounts to about 2 cm-1 for H3+ and must be included in high-accuracy calculations. Different strategies to obtain the corresponding energy shifts are reviewed in the article. A promising way is to introduce effective vibrational reduced masses that depend on the nuclear configuration. A new empirical method that uses the stockholder atoms-in-molecules approach to this effect is presented and applied to H3+. Furthermore, a highly accurate potential energy surface for the D3+ isotopologue, which includes relativistic and leading quantum electrodynamic terms, is constructed and used to analyse the observed rovibrational frequencies for this molecule. Accurate band origins are obtained that improve existing data. This article is part of a discussion meeting issue 'Advances in hydrogen molecular ions: H3+, H5+ and beyond'.
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Affiliation(s)
- Paulo H. R. Amaral
- Department of Physics, Federal University of Minas Gerais, PO Box 702, 30123-970 Belo Horizonte, Minas Gerais, Brazil
| | - Monika Stanke
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, ul. Grudzia̧dzka 5, Toruń 87-100, Poland
| | - Ludwik Adamowicz
- Department of Chemistry and Biochemistry, The University of Arizona, Tucson, AZ 85721, USA
| | | | - José R. Mohallem
- Department of Physics, Federal University of Minas Gerais, PO Box 702, 30123-970 Belo Horizonte, Minas Gerais, Brazil
| | - Alexander Alijah
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, University of Reims Champagne-Ardenne, 51687 Reims Cedex 2, France
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10
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Mátyus E, Teufel S. Effective non-adiabatic Hamiltonians for the quantum nuclear motion over coupled electronic states. J Chem Phys 2019; 151:014113. [PMID: 31272174 DOI: 10.1063/1.5097899] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The quantum mechanical motion of the atomic nuclei is considered over a single- or a multidimensional subspace of electronic states which is separated by a gap from the rest of the electronic spectrum over the relevant range of nuclear configurations. The electron-nucleus Hamiltonian is block-diagonalized up to O(εn+1) through a unitary transformation of the electronic subspace, and the corresponding nth-order effective Hamiltonian is derived for the quantum nuclear motion. Explicit but general formulas are given for the second- and the third-order corrections. As a special case, the second-order Hamiltonian corresponding to an isolated electronic state is recovered which contains the coordinate-dependent mass-correction terms in the nuclear kinetic energy operator. For a multidimensional, explicitly coupled electronic band, the second-order Hamiltonian contains the usual Born-Oppenheimer terms and nonadiabatic corrections, but generalized mass-correction terms appear as well. These, earlier neglected terms, perturbatively account for the outlying (discrete and continuous) electronic states not included in the explicitly coupled electronic subspace.
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Affiliation(s)
- Edit Mátyus
- Institute of Chemistry, ELTE, Eötvös Loránd University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary
| | - Stefan Teufel
- Fachbereich Mathematik, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
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11
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Tyuterev VG, Barbe A, Jacquemart D, Janssen C, Mikhailenko SN, Starikova EN. Ab initio predictions and laboratory validation for consistent ozone intensities in the MW, 10 and 5 μm ranges. J Chem Phys 2019; 150:184303. [DOI: 10.1063/1.5089134] [Citation(s) in RCA: 28] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Vl. G. Tyuterev
- Tomsk State Research University, TSU, Tomsk 634050, Russia
- GSMA UMR CNRS 7331, UFR Sciences, Université de Reims, BP 1039, 51687 Reims, France
| | - A. Barbe
- GSMA UMR CNRS 7331, UFR Sciences, Université de Reims, BP 1039, 51687 Reims, France
| | - D. Jacquemart
- MONARIS, Sorbonne Université, CNRS, 75252 Paris, France
| | - C. Janssen
- LERMA-IPSL, Sorbonne Université, Observatoire de Paris, Université PSL, CNRS, 75252 Paris, France
| | - S. N. Mikhailenko
- V.E. Zuev Institute of Atmospheric Optics, SB RAS, Tomsk 634055, Russia
| | - E. N. Starikova
- V.E. Zuev Institute of Atmospheric Optics, SB RAS, Tomsk 634055, Russia
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12
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Mátyus E. Non-adiabatic mass-correction functions and rovibrational states of 4 He 2 + ( X 2 Σ u + ). J Chem Phys 2018; 149:194112. [PMID: 30466288 DOI: 10.1063/1.5050403] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The mass-correction functions in the second-order non-adiabatic Hamiltonian are computed for the 4 He 2 + molecular ion using the variational method, floating explicitly correlated Gaussian functions, and a general coordinate-transformation formalism. When non-adiabatic rovibrational energy levels are computed using these (coordinate-dependent) mass-correction functions and a highly accurate potential energy and diagonal Born-Oppenheimer correction curve, significantly improved theoretical results are obtained for the nine rotational and two rovibrational intervals known from high-resolution spectroscopy experiments.
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Affiliation(s)
- Edit Mátyus
- Institute of Chemistry, Eötvös Loránd University, Pázmány Péter Sétány 1/A, Budapest H-1117, Hungary
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13
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Komarova KG, Remacle F, Levine R. On the fly quantum dynamics of electronic and nuclear wave packets. Chem Phys Lett 2018. [DOI: 10.1016/j.cplett.2018.03.050] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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14
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Reimers JR, Hush NS. The critical role of the transition-state cusp diameter in understanding adiabatic and non-adiabatic electron transfer. RUSS J ELECTROCHEM+ 2017. [DOI: 10.1134/s1023193517090105] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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15
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Jasik P, Sienkiewicz JE, Domsta J, Henriksen NE. Electronic structure and time-dependent description of rotational predissociation of LiH. Phys Chem Chem Phys 2017. [PMID: 28636002 DOI: 10.1039/c7cp02097j] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
The adiabatic potential energy curves of the 1Σ+ and 1Π states of the LiH molecule were calculated. They correlate asymptotically to atomic states, such as 2s + 1s, 2p + 1s, 3s + 1s, 3p + 1s, 3d + 1s, 4s + 1s, 4p + 1s and 4d + 1s. A very good agreement was found between our calculated spectroscopic parameters and the experimental ones. The dynamics of the rotational predissociation process of the 11Π state were studied by solving the time-dependent Schrödinger equation. The classical experiment of Velasco [Can. J. Phys., 1957, 35, 1204] on dissociation in the 11Π state is explained for the first time in detail.
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Affiliation(s)
- P Jasik
- Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland.
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16
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Bonfim VS, Borges NM, Martins JBL, Gargano R, Politi JRDS. Quantum Monte Carlo with density matrix: potential energy curve derived properties. J Mol Model 2017; 23:104. [DOI: 10.1007/s00894-017-3272-5] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2016] [Accepted: 02/06/2017] [Indexed: 11/30/2022]
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17
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Tyuterev VG, Kochanov RV, Tashkun SA. Accurateab initiodipole moment surfaces of ozone: First principle intensity predictions for rotationally resolved spectra in a large range of overtone and combination bands. J Chem Phys 2017; 146:064304. [DOI: 10.1063/1.4973977] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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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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20
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Joyce T, Varga K. Matrix elements of explicitly correlated Gaussian basis functions with arbitrary angular momentum. J Chem Phys 2016; 144:184106. [PMID: 27179470 DOI: 10.1063/1.4948708] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A new algorithm for calculating the Hamiltonian matrix elements with all-electron explicitly correlated Gaussian functions for quantum-mechanical calculations of atoms with arbitrary angular momentum is presented. The calculations are checked on several excited states of three and four electron systems. The presented formalism can be used as unified framework for high accuracy calculations of properties of small atoms and molecules.
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Affiliation(s)
- Tennesse Joyce
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
| | - Kálmán Varga
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
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21
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Stanke M, Palikot E, Adamowicz L. Algorithms for calculating mass-velocity and Darwin relativistic corrections with n-electron explicitly correlated Gaussians with shifted centers. J Chem Phys 2016; 144:174101. [PMID: 27155619 DOI: 10.1063/1.4947553] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Algorithms for calculating the leading mass-velocity (MV) and Darwin (D) relativistic corrections are derived for electronic wave functions expanded in terms of n-electron explicitly correlated Gaussian functions with shifted centers and without pre-exponential angular factors. The algorithms are implemented and tested in calculations of MV and D corrections for several points on the ground-state potential energy curves of the H2 and LiH molecules. The algorithms are general and can be applied in calculations of systems with an arbitrary number of electrons.
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Affiliation(s)
- Monika Stanke
- Institute of Physics, Faculty of Physics, Astronomy, and Informatics, Nicolaus Copernicus University, ul. Grudzia̧dzka 5, Toruń, PL 87-100, Poland
| | - Ewa Palikot
- Institute of Physics, Faculty of Physics, Astronomy, and Informatics, Nicolaus Copernicus University, ul. Grudzia̧dzka 5, Toruń, PL 87-100, Poland
| | - Ludwik Adamowicz
- Department of Chemistry and Biochemistry and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
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22
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Walton JR, Rivera−Rivera LA, Lucchese RR, Bevan JW. Canonical Approaches to Applications of the Virial Theorem. J Phys Chem A 2016; 120:817-23. [DOI: 10.1021/acs.jpca.5b11526] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jay R. Walton
- Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368, United States
| | - Luis A. Rivera−Rivera
- Department of Chemistry, Texas A&M University, College Station, Texas 77843-3255, United States
| | - Robert R. Lucchese
- Department of Chemistry, Texas A&M University, College Station, Texas 77843-3255, United States
| | - John W. Bevan
- Department of Chemistry, Texas A&M University, College Station, Texas 77843-3255, United States
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23
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Harbison GS. Polarization of core orbitals and computation of nuclear quadrupole coupling constants using Gaussian basis sets. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2015; 257:24-31. [PMID: 26037137 PMCID: PMC4501867 DOI: 10.1016/j.jmr.2015.05.002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/21/2014] [Revised: 05/05/2015] [Accepted: 05/07/2015] [Indexed: 06/04/2023]
Abstract
Most standard Gaussian basis sets for first row atoms, even large sets designed to converge on a 'complete basis set' limit, systematically overestimate the electric field gradient at nuclear sites for first row atoms, resulting in errors of up to 15% in the computation of nuclear quadrupole coupling constants. This error results from a failure to include tight d functions, which permit the core 1s orbitals to distort under the influence of the field of the nuclear quadrupole. Augmentation of standard basis sets with a single set of single-exponent d functions, matched to the reciprocal square of the nominal 1s radius, reduces these errors by up to 90%.
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Affiliation(s)
- Gerard S Harbison
- Department of Chemistry, University of Nebraska at Lincoln, Lincoln, NE 68588-0304, United States.
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24
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Diniz LG, Alijah A, Adamowicz L, Mohallem JR. Connecting a new non-adiabatic vibrational mass to the bonding mechanism of LiH: A quantum superposition of ionic and covalent states. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.04.062] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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25
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Walton JR, Rivera-Rivera LA, Lucchese RR, Bevan JW. Canonical Potentials and Spectra within the Born–Oppenheimer Approximation. J Phys Chem A 2015; 119:6753-8. [DOI: 10.1021/acs.jpca.5b04008] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jay R. Walton
- Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368, United States
| | - Luis A. Rivera-Rivera
- Department of Chemistry, Texas A&M University, College Station, Texas 77843-3255, United States
| | - Robert R. Lucchese
- Department of Chemistry, Texas A&M University, College Station, Texas 77843-3255, United States
| | - John W. Bevan
- Department of Chemistry, Texas A&M University, College Station, Texas 77843-3255, United States
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26
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Reimers JR, McKemmish LK, McKenzie RH, Hush NS. Non-adiabatic effects in thermochemistry, spectroscopy and kinetics: the general importance of all three Born–Oppenheimer breakdown corrections. Phys Chem Chem Phys 2015. [DOI: 10.1039/c5cp02238j] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
Analytical and numerical solutions describing Born–Oppenheimer breakdown in a simple, widely applicable, model depict shortcomings in modern computational methods.
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Affiliation(s)
- Jeffrey R. Reimers
- International Centre for Quantum and Molecular Structure
- College of Sciences, Shanghai University
- Shanghai 200444
- China
- School of Mathematical and Physical Sciences
| | - Laura K. McKemmish
- Department of Physics and Astronomy
- University College London
- London
- UK
- School of Chemistry
| | - Ross H. McKenzie
- School of Mathematics and Physics
- The University of Queensland
- Australia
| | - Noel S. Hush
- School of Chemistry
- The University of Sydney
- Sydney
- Australia
- School of Molecular Biosciences
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27
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Becke AD. Fractional Kohn–Sham Occupancies from a Strong-Correlation Density Functional. Top Curr Chem (Cham) 2014. [DOI: 10.1007/128_2014_581] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/18/2023]
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28
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Gim Y, Lee CW. Studies of singlet Rydberg series of LiH derived from Li(nl) + H(1s), with n ≤ 6 and l ≤ 4. J Chem Phys 2014; 141:144313. [PMID: 25318728 DOI: 10.1063/1.4897564] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
Abstract
The 50 singlet states of LiH composed of 49 Rydberg states and one non-Rydberg ionic state derivable from Li(nl) + H(1s), with n ≤ 6 and l ≤ 4, are studied using the multi-reference configuration interaction method combined with the Stuttgart/Köln group's effective core potential/core polarization potential method. Basis functions that can yield energy levels up to the 6g orbital of Li have been developed, and they are used with a huge number of universal Kaufmann basis functions for Rydberg states. The systematics and regularities of the physical properties such as potential energies, quantum defects, permanent dipole moments, transition dipole moments, and nonadiabatic coupling matrix elements of the Rydberg series are studied. The behaviors of potential energy curves and quantum defect curves are explained using the Fermi approximation. The permanent dipole moments of the Rydberg series reveal that they are determined by the sizes of the Rydberg orbitals, which are proportional to n(2). Interesting mirror relationships of the dipole moments are observed between l-mixed Rydberg series, with the rule Δl = ±1, except for s-d mixing, which is also accompanied by n-mixing. The members of the l-mixed Rydberg series have dipole moments with opposite directions. The first derivatives of the dipole moment curves, which show the charge-transfer component, clearly show not only mirror relationships in terms of direction but also oscillations. The transition dipole moment matrix elements of the Rydberg series are determined by the small-r region, with two consequences. One is that the transition dipole moment matrix elements show n(-3/2) dependence. The other is that the magnitudes of the transition dipole moment matrix elements decrease rapidly as l increases.
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Affiliation(s)
- Yeongrok Gim
- Department of Energy Systems Research, Ajou University, Suwon 443-749, South Korea
| | - Chun-Woo Lee
- Department of Chemistry, Ajou University, Suwon 443-749, South Korea
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Delahaye T, Nikitin A, Rey M, Szalay PG, Tyuterev VG. A new accurate ground-state potential energy surface of ethylene and predictions for rotational and vibrational energy levels. J Chem Phys 2014; 141:104301. [DOI: 10.1063/1.4894419] [Citation(s) in RCA: 42] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Rey M, Nikitin AV, Tyuterev VG. Accurate first-principles calculations for 12CH3D infrared spectra from isotopic and symmetry transformations. J Chem Phys 2014; 141:044316. [DOI: 10.1063/1.4890956] [Citation(s) in RCA: 56] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Abbiche K, Marakchi K, Komiha N, Francisco J, Linguerri R, Hochlaf M. Accurate theoretical spectroscopy of the lowest electronic states of CP radical. Mol Phys 2014. [DOI: 10.1080/00268976.2014.901567] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Tyuterev VG, Kochanov RV, Tashkun SA, Holka F, Szalay PG. New analytical model for the ozone electronic ground state potential surface and accurate ab initio vibrational predictions at high energy range. J Chem Phys 2013; 139:134307. [DOI: 10.1063/1.4821638] [Citation(s) in RCA: 91] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Rey M, Nikitin AV, Tyuterev VG. First principles intensity calculations of the methane rovibrational spectra in the infrared up to 9300 cm−1. Phys Chem Chem Phys 2013; 15:10049-61. [DOI: 10.1039/c3cp50275a] [Citation(s) in RCA: 80] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Teramae H, Nagaoka SI, Nagashima U. A Molecular Orbital Study of the Dipole Moment of HF, LiH, and HeH+. CHEM LETT 2012. [DOI: 10.1246/cl.2012.1642] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
| | | | - Umpei Nagashima
- National Institute of Advanced Industrial Science and Technology (AIST)
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Bubin S, Pavanello M, Tung WC, Sharkey KL, Adamowicz L. Born–Oppenheimer and Non-Born–Oppenheimer, Atomic and Molecular Calculations with Explicitly Correlated Gaussians. Chem Rev 2012; 113:36-79. [DOI: 10.1021/cr200419d] [Citation(s) in RCA: 115] [Impact Index Per Article: 9.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Sergiy Bubin
- Department
of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235,
United States
| | - Michele Pavanello
- Department
of Chemistry, Rutgers University Newark, Newark, New Jersey 07102,
United States
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Przybytek M, Jeziorski B. Long-range asymptotic expansion of the diagonal Born–Oppenheimer correction. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.10.006] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Nagaoka SI, Teramae H, Nagashima U. A Revisit to Molecular Orbitals in H 2+, LiH, HF, and Hybridization. CHEM LETT 2012. [DOI: 10.1246/cl.2012.9] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Shin-ichi Nagaoka
- Department of Chemistry, Faculty of Science and Graduate School of Science and Engineering, Ehime University
| | | | - Umpei Nagashima
- Nanosystem Research Institute, National Institute of Advanced Industrial Science and Technology
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Szalay PG, Müller T, Gidofalvi G, Lischka H, Shepard R. Multiconfiguration Self-Consistent Field and Multireference Configuration Interaction Methods and Applications. Chem Rev 2011; 112:108-81. [DOI: 10.1021/cr200137a] [Citation(s) in RCA: 470] [Impact Index Per Article: 36.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Péter G. Szalay
- Laboratory for Theoretical Chemistry, Institute of Chemistry, Eötvös Loránd University, P. O. Box 32, H-1518 Budapest, Hungary
| | - Thomas Müller
- Jülich Supercomputer Centre, Institute of Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - Gergely Gidofalvi
- Department of Chemistry and Biochemistry, Gonzaga University, 502 East Boone Avenue, Spokane, Washington 99258-0102, United States
| | - Hans Lischka
- Department of Chemistry and Biochemistry, Texas Tech University, Lubbock, Texas 79409-1061, United States
- Institute for Theoretical Chemistry, University of Vienna, Waehringerstrasse 17, A-1090 Vienna, Austria
| | - Ron Shepard
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Argonne, Illinois 60439, United States
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