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Krumins V, Kruzins A, Tamanis M, Ferber R, Meshkov V, Pazyuk E, Stolyarov AV, Pashov AE. Observation and modelling of bound-free transitions to the $X^1\Sigma^+$ and $a^3\Sigma^+$ states of KCs. J Chem Phys 2022; 156:114305. [DOI: 10.1063/5.0082309] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Valts Krumins
- University of Latvia Faculty of Physics Mathematics and Optometry, Latvia
| | | | - Maris Tamanis
- University of Latvia Faculty of Physics Mathematics and Optometry, Latvia
| | - Ruvin Ferber
- Faculty of Physics, Mathematics and Optometry, University of Latvia Faculty of Physics Mathematics and Optometry, Latvia
| | - Vladimir Meshkov
- Department of Chemistry, Lomonosov Moscow State University, Russia
| | | | | | - Asen Enev Pashov
- Optics and spectroscopy, Sofia University, Faculty of Physics, Bulgaria
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2
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Onate CA, Okon IB, Onyeaju MC, Ebomwonyi O. Vibrational energies of some diatomic molecules for a modified and deformed potential. Sci Rep 2021; 11:22498. [PMID: 34795376 PMCID: PMC8602305 DOI: 10.1038/s41598-021-01998-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/10/2021] [Accepted: 10/29/2021] [Indexed: 11/21/2022] Open
Abstract
A molecular potential model is proposed and the solutions of the radial Schrӧdinger equation in the presence of the proposed potential is obtained. The energy equation and its corresponding radial wave function are calculated using the powerful parametric Nikiforov–Uvarov method. The energies of cesium dimer for different quantum states were numerically obtained for both negative and positive values of the deformed and adjustable parameters. The results for sodium dimer and lithium dimer were calculated numerically using their respective spectroscopic parameters. The calculated values for the three molecules are in excellent agreement with the observed values. Finally, we calculated different expectation values and examined the effects of the deformed and adjustable parameters on the expectation values.
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Affiliation(s)
- C A Onate
- Physics Programme, Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria. .,Landmark University SDG 4 (Quality Education), Omu-Aran, Nigeria.
| | - I B Okon
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - M C Onyeaju
- Theoretical Physics Group, Department of Physics, University of Port Harcourt, P.M.B. 5323 Choba, Port Harcourt, Nigeria
| | - O Ebomwonyi
- Department of Physics, University of Benin, Benin City, Nigeria
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Horchani R, Al-Kindi N, Jelassi H. Ro-vibrational energies of caesium molecules with the Tietz-Hua oscillator. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1812746] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Ridha Horchani
- Department of Physics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman
| | - Noor Al-Kindi
- Department of Physics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman
| | - Haikel Jelassi
- Department of Physics, College of Science, Sultan Qaboos University, Muscat, Sultanate of Oman
- Laboratory on Energy and Matter for Nuclear Sciences Development (LR16CNSTN02), National Center for Nuclear Sciences and Technologies, Ariana, Tunisia
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Sovkov VB, Xie F, Lyyra AM, Ahmed EH, Ma J, Jia S. Re-examination of the Cs 2 ground singlet X 1Σ g+ and triplet a 3Σ u+ states. J Chem Phys 2017; 147:104301. [PMID: 28915738 DOI: 10.1063/1.5001481] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This paper clarifies the disagreement in the depth of the potential energy curve of the cesium dimer singlet ground state which has lasted for nearly a decade. We point out that the origin of this disagreement must be a technical misprint in the values of the three binding energies reported by Danzl et al. [Science 321, 1062 (2008)], while the X1Σg+ state potential reported by Coxon and Hajigeorgiou [J. Chem. Phys. 132, 094105 (2010)], based on experimental data by Amiot and Dulieu [J. Chem. Phys. 117, 5155 (2002)], is quite correct. We have recalculated the potential energy function of the triplet ground state a3Σu+ by using the available experimental data spanning both the attractive and the repulsive branches so that the potential energy function complies asymptotically with the singlet ground state X1Σg+ potential energy function by Coxon and Hajigeorgiou. This is important for the simulation of the near dissociation properties such as Feshbach resonances, which are typically observed in modern experiments with ultracold atoms and molecules.
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Affiliation(s)
- Vladimir B Sovkov
- St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia
| | - Feng Xie
- Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Tsinghua University, Beijing 100084, China
| | - A Marjatta Lyyra
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122-6082, USA
| | - Ergin H Ahmed
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122-6082, USA
| | - Jie Ma
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser spectroscopy, College of Physics and Electronics, Shanxi University, Taiyuan 030006, China
| | - Suotang Jia
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser spectroscopy, College of Physics and Electronics, Shanxi University, Taiyuan 030006, China
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de Lara-Castells MP, Hauser AW, Mitrushchenkov AO. Ab Initio Confirmation of a Harpoon-Type Electron Transfer in a Helium Droplet. J Phys Chem Lett 2017; 8:4284-4288. [PMID: 28841325 DOI: 10.1021/acs.jpclett.7b01910] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/14/2023]
Abstract
An ab initio study of a long-range electron transfer or "harpoon"-type process from Cs and Cs2 to C60 in a superfluid helium droplet is presented. The heliophobic Cs or Cs2 species are initially located at the droplet surface, while the heliophilic C60 molecule is fully immersed in the droplet. First, probabilities for the electron transfer in the gas phase are calculated for reactants with velocities below the critical Landau velocity of 57 m/s to account for the superfluid helium environment. Next, reaction pathways are derived that also include the repulsive contribution from the extrusion of helium upon the approach of the two reactants. Our results are in perfect agreement with recent experimental measurements of electron ionization mass spectroscopy [ Renzler , M. ; et al., J. Chem. Phys. 2016 , 145 , 181101 ], showing a high possibility for the formation of a Cs2-C60 complex inside of the droplet through a direct harpoon-type electron transfer involving the rotation of the molecule but a negligibly low reactivity for atomic Cs.
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Affiliation(s)
| | - Andreas W Hauser
- Institute of Experimental Physics, Graz University of Technology , Petersgasse 16, 8010 Graz, Austria
| | - Alexander O Mitrushchenkov
- Laboratoire Modélisation et Simulation Multi Echelle, Université Paris-Est , MSME UMR 8208 CNRS 5 bd Descartes, 77454 Marne-la-Vallée, France
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Hauser AW, de Lara-Castells MP. Spatial quenching of a molecular charge-transfer process in a quantum fluid: the Cs x-C 60 reaction in superfluid helium nanodroplets. Phys Chem Chem Phys 2017; 19:1342-1351. [PMID: 27975088 DOI: 10.1039/c6cp06858h] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A recent experimental study [Renzler et al., J. Chem. Phys., 2016, 145, 181101] on superfluid helium nanodroplets reported different reactivities for Cs atoms and Cs2 dimers with C60 fullerenes inside helium droplets. Alkali metal atoms and clusters are heliophobic, therefore typically residing on the droplet surface, while fullerenes are fully immersed into the droplet. In this theoretical study, which combines standard methods of computational chemistry with orbital-free helium density functional theory, we show that the experimental findings can be interpreted in the light of a quenched electron-transfer reaction between the fullerene and the alkali dopant, which is additionally hindered by a reaction barrier stemming from the necessary extrusion of helium upon approach of the two reactants.
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Affiliation(s)
- Andreas W Hauser
- Graz University of Technology, Institute of Experimental Physics, Petersgasse 16, 8010 Graz, Austria.
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Abstract
We solve the Schrödinger equation with the improved Rosen−Morse potential energy model in D spatial dimensions. The D-dimensional rotation-vibrational energy spectra have been obtained by using the supersymmetric shape invariance approach. The energies for the 33[Formula: see text]g+ state of the Cs2 molecule and the 51Δg state of the Na2 molecule increase as D increases in the presence of fixed vibrational quantum number and various rotational quantum numbers. We observe that the change in behavior of the vibrational energies in higher dimensions remains similar to that of the three-dimensional system.
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Affiliation(s)
- Xue-Tao Hu
- State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, People’s Republic of China
- School of Petroleum Engineering, Southwest Petroleum University, Chengdu 610500, People’s Republic of China
| | - Lie-Hui Zhang
- State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, People’s Republic of China
| | - Chun-Sheng Jia
- State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, People’s Republic of China
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Li D, Xie F, Li L, Ahmed EH, Lyyra AM. Collisional Line Assignments and Hyperfine Structure Interpretation in Cs2 23Δ1g State. CHINESE J CHEM PHYS 2013. [DOI: 10.1063/1674-0068/26/01/13-19] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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10
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Two-photon excitations of the Cs2 33Σg+ state: Assignment and analysis with the deformed ab initio potential. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2012.12.030] [Citation(s) in RCA: 4] [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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Allouche AR, Aubert-Frécon M. Transition dipole moments between the low-lying Ωg,u(+/−)states of the Rb2and Cs2molecules. J Chem Phys 2012; 136:114302. [DOI: 10.1063/1.3694014] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023] Open
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Xie F, Li L, Li D, Sovkov VB, Minaev KV, Ivanov VS, Lyyra AM, Magnier S. Joint analysis of the Cs2 a3Σu+ and 1g (3(3)Π1g) states. J Chem Phys 2011; 135:024303. [PMID: 21766938 DOI: 10.1063/1.3606397] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Abstract
Sets of experimental data on the Cs(2) a(3)Σ(u)(+) and 1(g) (3(3)Π(1g)) states, including the bound-bound and bound-free fluorescence spectra, are analyzed simultaneously to produce the potential energy curves of both states in the form of the Morse long range multiparameter function. The attractive branch of the a(3)Σ(u)(+) state potential is improved relative to the one reported in our earlier work [F. Xie, V. B. Sovkov, A. M. Lyyra, D. Li, S. Ingram, J. Bai, V. S. Ivanov, S. Magnier, and L. Li, J. Chem. Phys. 130, 051102 (2009)], in which the data on this state alone were analyzed. Besides, the new potential of this state also includes the repulsive branch in the range spanned by the bound-free fluorescence spectra. We have not found experimental evidence of the double minimum character of the 3(3)Π(1g) state potential, predicted by ab initio calculations, at least up to v = 8. This fact testifies that the upper state observed is better described by the Hund coupling case (c), in which the case (a) electronic basis states are intermixed by the strong spin-orbit interaction.
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Affiliation(s)
- F Xie
- Department of Physics, Tsinghua University, Beijing 100084, China
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Pérez de Tudela R, López-Durán D, González-Lezana T, Delgado-Barrio G, Villarreal P, Gianturco FA, Yurtsever E. Quantum features of a barely bound molecular dopant: Cs2(3Σu) in bosonic helium droplets of variable size. J Phys Chem A 2011; 115:6892-902. [PMID: 21585200 DOI: 10.1021/jp111825n] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present in this work the study of small (4)He(N)-Cs(2)((3)Σ(u)) aggregates (2 ≤ N ≤ 30) through combined variational, diffusion Monte Carlo (DMC), and path integral Monte Carlo (PIMC) calculations. The full surface is modeled as an addition of He-Cs(2) interactions and He-He potentials. Given the negligible strength and large range of the He-Cs(2) interaction as compared with the one for He-He, a propensity of the helium atoms to pack themselves together, leaving outside the molecular dopant is to be expected. DMC calculations determine the onset of helium gathering at N = 3. To analyze energetic and structural properties as a function of N, PIMC calculations with no bosonic exchange, i.e., Boltzmann statistics, at low temperatures are carried out. At T = 0.1 K, although acceptable one-particle He-Cs(2) distributions are obtained, two-particle He-He distributions are not well described, indicating that the proper symmetry should be taken into account. PIMC distributions at T = 1 K already compare well with DMC ones and show minor exchange effects, although binding energies are still far from having converged in terms of the number of quantum beads. As N increases, the He-He PIMC pair correlation function shows a clear tendency to coincide with the experimental boson-liquid helium one at that temperature. It supports the picture of a helium droplet which carries the molecular impurity on its surface, as found earlier for other triplet dimers.
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Prosmiti R, Delgado-Barrio G, Villarreal P, Yurtsever E, Coccia E, Gianturco FA. Structuring a Quantum Solvent around a Weakly Bound Dopant: The He−Cs2(3Σu) Complex. J Phys Chem A 2009; 113:14718-29. [DOI: 10.1021/jp9048583] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | | | - Ersin Yurtsever
- Department of Chemistry, Koç University, Rumeligeneri Yolu, 34450 Sariyer, Istanbul, Turkey
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Xie F, Sovkov VB, Lyyra AM, Li D, Ingram S, Bai J, Ivanov VS, Magnier S, Li L. Experimental investigation of the Cs2 a Σ3u+ triplet ground state: Multiparameter Morse long range potential analysis and molecular constants. J Chem Phys 2009; 130:051102. [DOI: 10.1063/1.3075580] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
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Deiglmayr J, Aymar M, Wester R, Weidemüller M, Dulieu O. Calculations of static dipole polarizabilities of alkali dimers: Prospects for alignment of ultracold molecules. J Chem Phys 2008; 129:064309. [DOI: 10.1063/1.2960624] [Citation(s) in RCA: 114] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Xie F, Li D, Tyree L, Li L, Sovkov VB, Ivanov VS, Magnier S, Marjatta Lyyra A. Observation and calculation of the Cs2 2Δ1g3 and bΠ0u3 states. J Chem Phys 2008; 128:204313. [DOI: 10.1063/1.2920191] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
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