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Bormotova EA, Kozlov SV, Pazyuk EA, Stolyarov AV, Majewska I, Moszynski R. Theoretical study of the Coriolis effect in LiNa, LiK, and LiRb molecules. Phys Chem Chem Phys 2021; 23:5187-5198. [PMID: 33624674 DOI: 10.1039/d0cp06487d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The non-adiabatic electronic matrix elements, LΠΣ(R), that arise from the spin-conserving electron-rotational interactions between all mΣ+ and mΠ states, where multiplicity m = 1, 3, converging to the lowest three dissociation limits of Li-containing alkali diatomics, LiM (M = Na, K, Rb), were calculated ab initio up to large internuclear distances, R. The required electronic wavefunctions were obtained within the framework of the multi-reference configuration interaction treatment of the two-valence-electron problem constructed using small-core scalar-relativistic effective core potentials and l-independent core-polarization potentials. A least squares analysis of the ab initio functions at large internuclear distances in conjunction with long-range perturbation theory (LRPT) revealed three different asymptotic behaviors of the LΠΣ(R → +∞)-functions: const. + β[n]/Rn, characterized by n = -1, 3 and 6. The asymptotic coefficients β[n], extracted from the point-wise ab initio data, were found to be in agreement with their LRPT counterparts, which were evaluated analytically using the relevant atomic parameters. The mass dependence of the LΠΣ matrix elements was investigated analytically and numerically. To confirm the reliability of the LΠΣ(R)-functions and interatomic potentials at small and intermediate distances, the empirical q-factors available for the D1Π-states of all LiM molecules studied were compared with their theoretical counterparts derived from the present ab initio data.
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Affiliation(s)
- E A Bormotova
- Department of Chemistry, Lomonosov Moscow State University, Leninskie gory 1/3, 119991, Moscow, Russia.
| | - S V Kozlov
- Department of Chemistry, Lomonosov Moscow State University, Leninskie gory 1/3, 119991, Moscow, Russia.
| | - E A Pazyuk
- Department of Chemistry, Lomonosov Moscow State University, Leninskie gory 1/3, 119991, Moscow, Russia.
| | - A V Stolyarov
- Department of Chemistry, Lomonosov Moscow State University, Leninskie gory 1/3, 119991, Moscow, Russia.
| | - I Majewska
- Quantum Chemistry Laboratory, Department of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland.
| | - R Moszynski
- Quantum Chemistry Laboratory, Department of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland.
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Jasik P, Kozicki J, Kilich T, Sienkiewicz JE, Henriksen NE. Electronic structure and rovibrational predissociation of the 2 1Π state in KLi. Phys Chem Chem Phys 2018; 20:18663-18670. [DOI: 10.1039/c8cp02551g] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Abstract
Adiabatic potential energy curves of the 31Σ+, 33Σ+, 21Π and 23Π states correlating for large internuclear distance with the K(4s) + Li(2p) atomic asymptote were calculated. Lifetimes of the quasi-bound rovibrational states of the 21Π state were determined by explicit time propagation.
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Affiliation(s)
- P. Jasik
- Faculty of Applied Physics and Mathematics
- Gdańsk University of Technology
- 80-233 Gdańsk
- Poland
| | - J. Kozicki
- Faculty of Civil and Environmental Engineering
- Gdańsk University of Technology
- 80-233 Gdańsk
- Poland
| | - T. Kilich
- Faculty of Applied Physics and Mathematics
- Gdańsk University of Technology
- 80-233 Gdańsk
- Poland
| | - J. E. Sienkiewicz
- Faculty of Applied Physics and Mathematics
- Gdańsk University of Technology
- 80-233 Gdańsk
- Poland
| | - N. E. Henriksen
- Department of Chemistry
- Building 207, Technical University of Denmark
- DK-2800 Kgs. Lyngby
- Denmark
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Jastrzebski W, Kowalczyk P, Szczepkowski J. Investigation of highly excited electronic 1Π states in KLi molecule. Chem Phys Lett 2016. [DOI: 10.1016/j.cplett.2016.10.078] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Musiał M, Motyl A, Skupin P, Kucharski SA. Potential Energy Curves for the Low-Lying Electronic States of KLi with Fock Space Coupled Cluster Method. ADVANCES IN QUANTUM CHEMISTRY 2016. [DOI: 10.1016/bs.aiq.2015.05.001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Jastrzebski W, Kowalczyk P, Szczepkowski J, Allouche AR, Crozet P, Ross AJ. High-lying electronic states of the rubidium dimer-Ab initio predictions and experimental observation of the 5(1)Σu(+) and 5(1)Πu states of Rb2 by polarization labelling spectroscopy. J Chem Phys 2015; 143:044308. [PMID: 26233130 DOI: 10.1063/1.4927225] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Abstract
Two-colour polarization labelling experiments have been used to explore the excitation spectrum of the rubidium dimer in the region 25,500-27,000 cm(-1), probing two mutually interacting states, identified from ab initio calculations as the 5(1)Σu(+) and 5(1)Πu states whose atomic dissociation products are Rb(5s) + Rb(5d). Treating the rather irregular progressions observed in the excitation spectra as transitions to single states with (numerous) local perturbations, we propose spectroscopic parameters and potential energy curves to describe the investigated levels. Observations cover more than 20 vibrational levels in the inner minima of both the 5(1)Πu and 5(1)Σu(+) states. Analysis was guided by ab initio calculations performed to describe the (1,3)Λg,u electronic states of Rb2 up to the Rb(5s) + Rb(5f) atomic asymptote. The theoretical potential energy curves are given in ASCII format in an electronic supplement to this paper.
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Affiliation(s)
- Wlodzimierz Jastrzebski
- Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warszawa, Poland
| | - Pawel Kowalczyk
- Institute of Experimental Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, 02-093 Warszawa, Poland
| | - Jacek Szczepkowski
- Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warszawa, Poland
| | - Abdul-Rahman Allouche
- Institut Lumière Matière, UMR5306 Université Lyon 1 - CNRS, Université de Lyon, 69622 Villeurbanne Cedex, France
| | - Patrick Crozet
- Institut Lumière Matière, UMR5306 Université Lyon 1 - CNRS, Université de Lyon, 69622 Villeurbanne Cedex, France
| | - Amanda J Ross
- Institut Lumière Matière, UMR5306 Université Lyon 1 - CNRS, Université de Lyon, 69622 Villeurbanne Cedex, France
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Birzniece I, Nikolayeva O, Tamanis M, Ferber R. Fourier-transform spectroscopy and potential construction of the (2)(1)Π state in KCs. J Chem Phys 2015; 142:134309. [PMID: 25854245 DOI: 10.1063/1.4916906] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
Abstract
The paper presents an empirical pointwise potential energy curve (PEC) of the (2)(1)Π state of the KCs molecule constructed by applying the Inverted Perturbation Approach routine. The experimental term values in the energy range E(v', J') ∈ [15 407; 16 579] cm(-1) involved in the fit were based on Fourier-Transform spectroscopy data obtained with 0.01 cm(-1) accuracy from the laser-induced (2)(1)Π → X(1)Σ(+) fluorescence spectra. Buffer gas Ar was used to facilitate the appearance of rotation relaxation lines in the spectra, thus enlarging the (2)(1)Π data set and allowing determination of the Λ-splitting constants. The data set included vibrational v' ∈ [0, 28] and rotational J' ∈ [7, 274] quantum numbers covering about 67% of the potential well. The present PEC reproduces the overall set of data included in the fit with a standard deviation of 0.5 cm(-1). The obtained value of the Λ-doubling constant q = + 1.8 × 10(-6) cm(-1) for J' > 50 and v' ∈ [0, 6] is in an excellent agreement with q = + 1.84 × 10(-6) cm(-1) reported in Kim, Lee, and Stolyarov [J. Mol. Spectrosc. 256, 57-67 (2009)].
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Affiliation(s)
- I Birzniece
- Laser Center, Department of Physics, University of Latvia, 19 Rainis Blvd., Riga LV-1586, Latvia
| | - O Nikolayeva
- Laser Center, Department of Physics, University of Latvia, 19 Rainis Blvd., Riga LV-1586, Latvia
| | - M Tamanis
- Laser Center, Department of Physics, University of Latvia, 19 Rainis Blvd., Riga LV-1586, Latvia
| | - R Ferber
- Laser Center, Department of Physics, University of Latvia, 19 Rainis Blvd., Riga LV-1586, Latvia
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Meshkov VV, Stolyarov AV, Heaven MC, Haugen C, LeRoy RJ. Direct-potential-fit analyses yield improved empirical potentials for the ground XΣg+1 state of Be2. J Chem Phys 2014; 140:064315. [DOI: 10.1063/1.4864355] [Citation(s) in RCA: 38] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
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Al-dossary OM, Khelifi N. Theoretical study of LiK and LiK+ in adiabatic representation. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2013. [DOI: 10.1134/s0036024414010336] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Dardouri R, Habli H, Oujia B, Gadéa FX. Theoretical study of the electronic structure of KLi molecule: Adiabatic and diabatic potential energy curves and dipole moments. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2011.07.010] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Fan Q, Sun W, Feng H. Studies on the full vibrational energies and dissociation energies of some heteronuclear diatomic molecules. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2009; 74:911-916. [PMID: 19744883 DOI: 10.1016/j.saa.2009.08.036] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/31/2009] [Revised: 08/01/2009] [Accepted: 08/10/2009] [Indexed: 05/28/2023]
Abstract
A parameter-free analytical formula for dissociation energies of diatomic molecules is proposed by Fan and Sun (2009) [20] based on LeRoy and Bernstein's vibrational energy expression near dissociation limit. Using three highest vibrational energies which may be generated by the algebraic method (AM) presented in our previous study and by some other physical methods, the new formula is applied to study the molecular dissociation energies of 10 electronic states of KH, (7)LiD, (7)LiH, (6)LiH, NaK, NaLI and NaRb heteronuclear diatomic molecules which have regular (Morse-like) potentials in this work. The results show that the AM energies E(upsilon)(AM) and dissociation energies D(e)(AM) have excellent agreement with experimental values.
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Affiliation(s)
- Qunchao Fan
- School of Physics and Chemistry, Xihua University, Chengdu, Sichuan 610039, China.
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Jastrzebski W, Kowalczyk P, Pashov A, Szczepkowski J. The potential energy barrier of the 2(1)Pi state in KLi. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2009; 73:117-120. [PMID: 19264538 DOI: 10.1016/j.saa.2009.02.002] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2008] [Revised: 01/09/2009] [Accepted: 02/03/2009] [Indexed: 05/27/2023]
Abstract
The polarisation labelling spectroscopy technique has provided detailed information about the shape of the potential barrier to dissociation of the 2(1)Pi state in KLi. The potential curve of the 2(1)Pi state is constructed using the Inverted Perturbation Approach method. Our analysis shows that the barrier height is DeltaE=20.8+/-1.0 cm(-1) relative to the dissociation limit and the barrier maximum is located at Rbar=8.2+/-0.1 A.
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Affiliation(s)
- W Jastrzebski
- Institute of Physics, Polish Academy of Sciences, Al.Lotników 32/46, 02-668 Warsaw, Poland.
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Grochola A, Kowalczyk P, Jastrzebski W, Pashov A. A regularized inverted perturbation approach method: Potential energy curve of the 4 1Σu+ state in Na2. J Chem Phys 2004; 121:5754-60. [PMID: 15366999 DOI: 10.1063/1.1785782] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We describe a modification of the inverted perturbation approach method allowing to construct physically sensible potential energy curves for electronic states of diatomic molecules even when some parts of the potential are not adequately characterized by the experimental data. The method is based on a simple regularization procedure, imposing an additional constraint on the constructed potential curve. In the present work it is applied to the double minimum 4 (1)Sigma(u) (+) state of Na(2), observed experimentally by polarization labeling spectroscopy technique.
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Affiliation(s)
- A Grochola
- Institute of Experimental Physics, Warsaw University, Ulica Hoza 69, 00-681 Warsaw, Poland
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14
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Grochola A, Jastrzebski W, Kortyka P, Kowalczyk * P. Polarization labelling spectroscopy of the 4 1Π state of KLi. Mol Phys 2004. [DOI: 10.1080/00268970412331287124] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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15
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Huang Y, Le Roy RJ. Potential energy, Λ doubling and Born–Oppenheimer breakdown functions for the B 1Πu “barrier” state of Li2. J Chem Phys 2003. [DOI: 10.1063/1.1607313] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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