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Mabrouk N, Dhiflaoui J, Saidi S, Bejaoui M, Alharzali N, Berriche H. Potential Energy Surface and Bound States of Ne-Li 2+( X2Σ g+) van der Waals Complex Based on Ab Initio Calculations. J Phys Chem A 2023; 127:9167-9177. [PMID: 37890154 PMCID: PMC10641847 DOI: 10.1021/acs.jpca.3c03811] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/06/2023] [Revised: 10/07/2023] [Accepted: 10/10/2023] [Indexed: 10/29/2023]
Abstract
Theoretical studies of the potential energy surface and vibrational bound states calculations were performed for the ground state of the Ne-Li2+(X2Σg+) van der Waals (vdW) complex. The intermolecular interactions were investigated by using an accurate monoconfigurational RCCSD(T) method and large basis sets (aug-cc-pVnZ, n = T, Q, 5), extrapolated to the complete basis set (CBS) limit. In turn, the obtained raw data from RCCSD(T)/CBS(Q5) calculations were numerically interpolated using the Morse + vdW model and the Reproducing Kernel Hilbert Space (RKHS) polynomial method to generate analytic expressions for the 2D-PES. The RKHS interpolated PES was then used to assess the bound states of the Ne-Li2+(X2Σg+) system through nuclear quantum calculations. By studying the aspect of the potential energy surface, the analysis sheds light on the behavior of the Ne-Li2+(X2Σg+) complex and its interactions between repulsive and attractive forces with other particles. By examining the vibrational states and wave functions of the system, the researchers were able to gain a better understanding of the behavior of the Ne-Li2+(X2Σg+) complex. The calculated radial and angular distributions for all even and odd symmetries are discussed in detail. We observe that the radial distributions exhibit a more complicated nodal structure, representing stretching vibrational behavior in the neon atom along its radial coordinate. For the highest bound states, the situation is very different, and the energies surpass the angular barrier.
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Affiliation(s)
- Nesrine Mabrouk
- Laboratory
of Interfaces and Advanced Materials, Physics Department, Faculty
of Sciences of Monastir, University of Monastir, Monastir 5019, Tunisia
| | - Jamila Dhiflaoui
- Laboratory
of Interfaces and Advanced Materials, Physics Department, Faculty
of Sciences of Monastir, University of Monastir, Monastir 5019, Tunisia
| | - Samah Saidi
- Laboratory
of Interfaces and Advanced Materials, Physics Department, Faculty
of Sciences of Monastir, University of Monastir, Monastir 5019, Tunisia
- Department
of Physics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 16273, Saudi Arabia
| | - Mohamed Bejaoui
- Laboratory
of Interfaces and Advanced Materials, Physics Department, Faculty
of Sciences of Monastir, University of Monastir, Monastir 5019, Tunisia
| | - Nissrin Alharzali
- Laboratory
of Interfaces and Advanced Materials, Physics Department, Faculty
of Sciences of Monastir, University of Monastir, Monastir 5019, Tunisia
- Department
of Physical and Theoretical Chemistry, Faculty of Natural Sciences, Comenius University in Bratislava, Bratislava 814 99, Slovakia
| | - Hamid Berriche
- Laboratory
of Interfaces and Advanced Materials, Physics Department, Faculty
of Sciences of Monastir, University of Monastir, Monastir 5019, Tunisia
- Mathematics
and Physics Department, School of Arts and Sciences, American University of Ras Al Khaimah, Ras Al-Khaimah 10021, United Arab Emirates
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Saidi S, Mabrouk N, Dhiflaoui J, Berriche H. Structural, Spectroscopic, and Dynamic Properties of Li2+(X2∑g+) in Interaction with Krypton Atom. Molecules 2023; 28:5512. [PMID: 37513385 PMCID: PMC10385072 DOI: 10.3390/molecules28145512] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/23/2023] [Revised: 07/10/2023] [Accepted: 07/17/2023] [Indexed: 07/30/2023] Open
Abstract
We report a computational study of the potential energy surface (PES) and vibrational bound states for the ground electronic state of Li2+Kr. The PES was calculated in Jacobi coordinates at the Restricted Coupled Cluster method RCCSD(T) level of calculation and using aug-cc-pVnZ (n = 4 and 5) basis sets. Afterward, this PES is extrapolated to the complete basis set (CBS) limit for correction. The obtained interaction energies were, then, interpolated numerically using the reproducing kernel Hilbert space polynomial (RKHS) approach to produce analytic expressions for the 2D-PES. The analytical PES is used to solve the nuclear Schrodinger equation to determine the bound states' eigenvalues of Li2+Kr for a J = 0 total angular momentum configuration and to understand the effects of orientational anisotropy of the forces and the interplay between the repulsive and attractive interaction within the potential surface. In addition, the radial and angular distributions of some selected bound state levels, which lie below, around, and above the T-shaped 90° barrier well, are calculated and discussed. We note that the radial distributions clearly acquire a more complicated nodal structure and correspond to bending and stretching vibrational motions "mode" of the Kr atom along the radial coordinate, and the situation becomes very different at the highest bound states levels with energies higher than the T-shaped 90° barrier well. The shape of the distributions becomes even more complicated, with extended angular distributions and prominent differences between even and odd states.
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Affiliation(s)
- Samah Saidi
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Sciences of Monastir, Avenue de l'Environnement, Monastir 5019, Tunisia
- Department of Physics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
| | - Nesrine Mabrouk
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Sciences of Monastir, Avenue de l'Environnement, Monastir 5019, Tunisia
| | - Jamila Dhiflaoui
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Sciences of Monastir, Avenue de l'Environnement, Monastir 5019, Tunisia
| | - Hamid Berriche
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Sciences of Monastir, Avenue de l'Environnement, Monastir 5019, Tunisia
- Mathematics and Natural Sciences Department, School of Arts and Sciences, American University of Ras Al Khaimah, Ras Al-Khaimah 10021, United Arab Emirates
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Ghanmi C, Nakbi H, Al-Qarni HJ, Alharzali N, Berriche H. Structure, energetics, and spectroscopy of the K 2+(X 2Σ +g) interacting with the noble gas atoms Ar, Kr and Xe. J Mol Graph Model 2023; 120:108413. [PMID: 36758327 DOI: 10.1016/j.jmgm.2023.108413] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2022] [Revised: 12/31/2022] [Accepted: 01/12/2023] [Indexed: 02/05/2023]
Abstract
The structure, energetic, and spectroscopy properties of the ionic system K2+(X2Σ+g) interacting with the noble gas atoms Argon, Krypton and Xenon are studied. The computations are done by an accurate ab initio approach based on the pseudo-potential technique, Gaussian basis sets, parameterized l-dependent polarization potentials and an analytic potential form for the K+Ar, K+Kr and K+Xe interactions. These interactions are added via the CCSD(T) potential taken from literature and fitted applying the analytical expression of Tang and Toennies. The application of the pseudo-potential approach reduces the number of active electrons of each complex to only one electron. The potential energy surfaces are analyzed on a large range of the Jacobi coordinates, R and θ. By the general interpolation outline based on the RKHS (Reproducing Kernel Hilbert Space) procedure, we have reproduced for each complex from our ab initio results the two-dimensional contour plots of an analytical potential. To evaluate the stability of each complex, we have determined from the potential energy surfaces the equilibrium distance (Re), the well depth (De), the quantum energy (D0), the zero-point-energy (ZPE) and the ZPE%. The results showed that the linear configurations, where the noble gas atom connected to the K2+(X2Σ+g) system, are the more stable.
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Affiliation(s)
- Chedli Ghanmi
- Laboratory of Interfaces and Advanced Materials, Faculty of Science, University of Monastir, 5019, Monastir, Tunisia.
| | - Haifa Nakbi
- Laboratory of Interfaces and Advanced Materials, Faculty of Science, University of Monastir, 5019, Monastir, Tunisia
| | - Hind Jahman Al-Qarni
- Physics Department, College of Science and Arts, Balqarn, Bisha University, Saudi Arabia
| | - Nisrin Alharzali
- Laboratory of Interfaces and Advanced Materials, Faculty of Science, University of Monastir, 5019, Monastir, Tunisia
| | - Hamid Berriche
- Laboratory of Interfaces and Advanced Materials, Faculty of Science, University of Monastir, 5019, Monastir, Tunisia; Mathematics and Natural Sciences Department, School of Arts and Sciences, American University of Ras Al Khaimah, Ras Al Khaimah, United Arab Emirates.
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Kovács A, Rode JE. Modelling the matrix shift on the vibrational frequency of ThO by DFT-D3 calculations. J Chem Phys 2017; 146:124301. [PMID: 28388137 DOI: 10.1063/1.4978064] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Benchmark calculations with a goal to find dispersion-corrected DFT-D3 methods suitable for a reliable estimation of matrix shifts on the vibrational frequency were carried out on the ThO molecule in three rare gas (Rg = Ne, Ar, and Kr) matrices. The matrices were modelled by the explicit approach, in which a single and a double shell of Rg atoms around ThO was considered. The selection of exchange-correlation functionals was based on test calculations on triatomic ThO⋯Rg models. The B3LYP, PBE0, CAM-B3LYP, and LC-ωPBE functionals were found to be the best suited for the estimation of matrix shifts. The single shell of Rg's around ThO accounted for a major part of the shifts; the addition of a second Rg shell resulted only in a minor improvement. Continuum solvation models considerably overestimated the effect of Rg matrices both when the whole matrix was treated by the model and when the first shell was treated explicitly and the rest with a continuum solvation model.
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Affiliation(s)
- Attila Kovács
- European Commission, Joint Research Centre, P.O. Box 2340, 76125 Karlsruhe, Germany
| | - Joanna E Rode
- Institute of Nuclear Chemistry and Technology, 16 Dorodna-Street, 03-195 Warsaw, Poland
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Iftner C, Simon A, Korchagina K, Rapacioli M, Spiegelman F. A density functional tight binding/force field approach to the interaction of molecules with rare gas clusters: Application to (C6H6)+/0Arn clusters. J Chem Phys 2014; 140:034301. [DOI: 10.1063/1.4861431] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kahros A, Schwartz BJ. Going beyond the frozen core approximation: Development of coordinate-dependent pseudopotentials and application to Na 2+. J Chem Phys 2013; 138:054110. [DOI: 10.1063/1.4789425] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023] Open
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Jacquet E, Zanuttini D, Douady J, Giglio E, Gervais B. Spectroscopic properties of alkali atoms embedded in Ar matrix. J Chem Phys 2011; 135:174503. [DOI: 10.1063/1.3655467] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
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Zanuttini D, Douady J, Jacquet E, Giglio E, Gervais B. Nonadiabatic molecular dynamics of photoexcited Li2(+) Ne(n) clusters. J Chem Phys 2011; 134:044308. [PMID: 21280726 DOI: 10.1063/1.3532769] [Citation(s) in RCA: 13] [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 investigate the relaxation of photoexcited Li(2)(+) chromophores solvated in Ne(n) clusters (n = 2-22) by means of molecular dynamics with surface hopping. The simplicity of the electronic structure of these ideal systems is exploited to design an accurate and computationally efficient model. These systems present two series of conical intersections between the states correlated with the Li+Li(2s) and Li+Li(2p) dissociation limits of the Li(2)(+) molecule. Frank-Condon transition from the ground state to one of the three lowest excited states, hereafter indexed by ascending energy from 1 to 3, quickly drives the system toward the first series of conical intersections, which have a tremendous influence on the issue of the dynamics. The states 1 and 2, which originate in the Frank-Condon area from the degenerated nondissociative 1(2)Π(u) states of the bare Li(2)(+) molecule, relax mainly to Li+Li(2s) with a complete atomization of the clusters in the whole range of size n investigated here. The third state, which originates in the Frank-Condon area from the dissociative 1(2)Σ(u)(+) state of the bare Li(2)(+) molecule, exhibits a richer relaxation dynamics. Contrary to intuition, excitation into state 3 leads to less molecular dissociation, though the amount of energy deposited in the cluster by the excitation process is larger than for excitation into state 1 and 2. This extra amount of energy allows the system to reach the second series of conical intersections so that approximately 20% of the clusters are stabilized in the 2(2)Σ(g)(+) state potential well for cluster sizes n larger than 6.
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Affiliation(s)
- D Zanuttini
- CIMAP, unité mixte CEA-CNRS-ENSICAEN-UCBN 6252 BP 5133, F-14070 Caen, Cedex 05, France
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