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Ben Hadj Ayed M, Hamdi R, Ghalla H, Oujia B, Gadéa FX. Theoretical investigation of the electronic properties of alkali atoms interacting with helium rare gas using a pseudopotential approach. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2266-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
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2
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Dhiflaoui J, Bejaoui M, Farjallah M, Berriche H. Investigation of the electronic structure of Be 2+He and Be +He, and static dipole polarisabilities of the helium atom. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1429686] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- J. Dhiflaoui
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir, Monastir, Tunisia
| | - M. Bejaoui
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir, Monastir, Tunisia
| | - M. Farjallah
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir, Monastir, Tunisia
| | - H. Berriche
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir, Monastir, Tunisia
- Department of Mathematics and Natural Sciences, School of Arts and Sciences, American University of Ras Al Khaimah, Ras Al Khaimah, UAE
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Gervais B, Zanuttini D, Douady J. Spin-orbit coupling in the dissociative excitation of alkali atoms at the surface of rare gas clusters: A theoretical study. J Chem Phys 2016; 144:194307. [PMID: 27208949 DOI: 10.1063/1.4948814] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Abstract
We analyze the role of the spin-orbit (SO) coupling in the dissociative dynamics of excited alkali atoms at the surface of small rare gas clusters. The electronic structure of the whole system is deduced from a one-electron model based on core polarization pseudo-potentials. It allows us to obtain in the same footing the energy, forces, and non-adiabatic couplings used to simulate the dynamics by means of a surface hopping method. The fine structure state population is analyzed by considering the relative magnitude of the SO coupling ξ, with respect to the spin-free potential energy. We identify three regimes of ξ-values leading to different evolution of adiabatic state population after excitation of the system in the uppermost state of the lowest np (2)P shell. For sufficiently small ξ, the final population of the J=12 atomic states, P12, grows up linearly from P12=13 at ξ = 0 after a diabatic dynamics. For large values of ξ, we observe a rather adiabatic dynamics with P12 decreasing as ξ increases. For intermediate values of ξ, the coupling is extremely efficient and a complete transfer of population is observed for the set of parameters associated to NaAr3 and NaAr4 clusters.
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Affiliation(s)
- B Gervais
- CIMAP, Unité Mixte CEA-CNRS-ENSICAEN-UCBN 6252 BP 5133, F-14070 Caen Cedex 05, France
| | - D Zanuttini
- CIMAP, Unité Mixte CEA-CNRS-ENSICAEN-UCBN 6252 BP 5133, F-14070 Caen Cedex 05, France
| | - J Douady
- CIMAP, Unité Mixte CEA-CNRS-ENSICAEN-UCBN 6252 BP 5133, F-14070 Caen Cedex 05, France
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Bejaoui M, Dhiflaoui J, Mabrouk N, El Ouelhazi R, Berriche H. Theoretical Investigation of the Electronic Structure and Spectra of Mg(2+)He and Mg(+)He. J Phys Chem A 2016; 120:747-53. [PMID: 26783874 DOI: 10.1021/acs.jpca.5b10089] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The ground and many excited states of the Mg(+)He van der Waals molecular system have been explored using a one-electron pseudopotential approach. In this approach, effective potentials are used to consider the Mg(2+) core and the electron-He effects. Furthermore, a core-core interaction is included. This has reduced the number of active electrons of the Mg(+)He, to be considered in the calculation, to a single valence electron. This has permitted to use extended Gaussian basis sets for Mg and He. Therefore, the potentianl energy and dipole moments calculations are carried out at the Hartree-Fock level of theory, and the spin-orbit effect is included using a semiclassical approach. The core-core interaction for the Mg(2+)He ground state is included using accurate CCSD(T) calculations. The spectroscopic constants of the Mg(+)He electronic states are extracted and compared with the existing theoretical works, where very good agreement is observed. Moreover, the transition dipole function has been determined for a large and dense grid of internuclear distances including the spin-orbit effect.
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Affiliation(s)
- M Bejaoui
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir , Avenue de L'Environnment, 5019 Monastir, Tunisia
| | - J Dhiflaoui
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir , Avenue de L'Environnment, 5019 Monastir, Tunisia
| | - N Mabrouk
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir , Avenue de L'Environnment, 5019 Monastir, Tunisia
| | - R El Ouelhazi
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir , Avenue de L'Environnment, 5019 Monastir, Tunisia
| | - H Berriche
- Laboratory of Interfaces and Advanced Materials, Physics Department, Faculty of Science, University of Monastir , Avenue de L'Environnment, 5019 Monastir, Tunisia.,Department of Mathematics and Natural Sciences, School of Arts and Sciences, American University of Ras Al Khaimah , Ras Al Khaimah, P.O. Box, RAK, United Arab Emirates
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Stoll H. All-electron-derived pseudopotentials for embedding: the polarisability of the iodine anion in a water cage. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1116716] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Hermann Stoll
- Institut für Theoretische Chemie, Universität Stuttgart, Stuttgart, Germany
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Galbis E, Douady J, Jacquet E, Giglio E, Gervais B. Potential energy curves and spin-orbit coupling of light alkali-heavy rare gas molecules. J Chem Phys 2013; 138:014314. [PMID: 23298048 DOI: 10.1063/1.4773019] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Abstract
The potential energy curves of the X, A, and B states of alkali-rare gas diatomic molecules, MKr and MXe, are investigated for M = Li, Na, K. The molecular spin-orbit coefficients a(R)=<(2)Π(½)|Ĥ(SO)|(2)Π(½)> and b(R)=<(2)Π(-½)|Ĥ(SO)|(2)Σ(½)> are calculated as a function the interatomic distance R. We show that a(R) increases and b(R) decreases as R decreases. This effect becomes less and less important as the mass of the alkali increases. A comparison of the rovibrational properties deduced from our calculations with experimental measurements recorded for NaKr and NaXe shows the quality of the calculations.
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Affiliation(s)
- E Galbis
- CIMAP, unité mixte CEA-CNRS-ENSICAEN-UCBN 6252 BP 5133, F-14070 Caen, Cedex 05, France
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Dhiflaoui J, Berriche H, Herbane M, Alsehimi AG, Heaven MC. Electronic structure and spectra of the RbAr van der Waals system including spin-orbit interaction. J Phys Chem A 2012; 116:10589-96. [PMID: 22998459 DOI: 10.1021/jp301486t] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
The potential energy curves and spectroscopic constants of the ground and excited states of the RbAr van der Waals system have been determined using a one-electron pseudopotential approach. This technique is used to replace the effect of the Rb(+) core and the electron-Ar interactions by effective potentials. The core-core interaction for Rb(+)Ar was incorporated using the accurate CCSD(T) potential of Hickling et al. [Hickling, H. L.; Viehland, L. A.; Shepherd, D. T.; Soldán, P.; Lee, E. P. F.; Wright, T. G. Phys. Chem. Chem. Phys. 2004, 6, 4233-4239]. This model reduces the number of active electrons of the RbAr van der Waals systems to just the single valence electron, permitting the use of very large basis sets for the Rb and Ar atoms. Using this approach, the potential energy curves of the ground and excited states dissociating into Rb(5s, 5p, 4d, 6s, 6p, 6d, and 7s) + Ar are calculated at the SCF level. Spin-orbit interaction was also considered within a semiempirical scheme for the states dissociating into Rb(5p) and Rb(6p). Spectroscopic constants are derived and compared with the available theoretical and experimental data. Such comparisons for RbAr show very good agreement for the ground and the first excited states. Furthermore, we have predicted the B(2)Σ(+)(1/2) ← X(2)Σ(+), A(2)Π(1/2) ← X(2)Σ(+), A(2)Π(3/2) ← X(2)Σ(+), A(2)Π(3/2) ← X(2)Σ(+), 5(2)Σ(+) ← X(2)Σ(+), 3(2)Π(1/2) ← X(2)Σ(+), and 3(2)Π(3/2) ← X(2)Σ(+) absorption spectra.
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Affiliation(s)
- J Dhiflaoui
- Laboratoire des Interfaces et Matériaux Avancés, Faculté des Sciences, Université de Monastir, Avenue de l'Environnement, 5019 Monastir, Tunisia
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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, Jacquet E, Giglio E, Douady J, Gervais B. An accurate model potential for alkali neon systems. J Chem Phys 2009; 131:214104. [DOI: 10.1063/1.3269801] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023] Open
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Douady J, Jacquet E, Giglio E, Zanuttini D, Gervais B. Solvation of Na2+ in Arn clusters. I. Structures and spectroscopic properties. J Chem Phys 2008; 129:184303. [DOI: 10.1063/1.3005381] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pacheco AB, Thorndyke B, Reyes A, Micha DA. Quantum dynamics of an excited alkali atom in a noble gas cluster: Lithium attached to a helium cluster. J Chem Phys 2007; 127:244504. [DOI: 10.1063/1.2813889] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pacheco AB, Reyes A, Micha DA. Light absorption during alkali atom-noble gas atom interactions at thermal energies: a quantum dynamics treatment. J Chem Phys 2006; 125:154313. [PMID: 17059261 DOI: 10.1063/1.2357956] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The absorption of light during atomic collisions is treated by coupling electronic excitations, treated quantum mechanically, to the motion of the nuclei described within a short de Broglie wavelength approximation, using a density matrix approach. The time-dependent electric dipole of the system provides the intensity of light absorption in a treatment valid for transient phenomena, and the Fourier transform of time-dependent intensities gives absorption spectra that are very sensitive to details of the interaction potentials of excited diatomic states. We consider several sets of atomic expansion functions and atomic pseudopotentials, and introduce new parametrizations to provide light absorption spectra in good agreement with experimentally measured and ab initio calculated spectra. To this end, we describe the electronic excitation of the valence electron of excited alkali atoms in collisions with noble gas atoms with a procedure that combines l-dependent atomic pseudopotentials, including two- and three-body polarization terms, and a treatment of the dynamics based on the eikonal approximation of atomic motions and time-dependent molecular orbitals. We present results for the collision induced absorption spectra in the Li-He system at 720 K, which display both atomic and molecular transition intensities.
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Affiliation(s)
- Alexander B Pacheco
- Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, Gainesville, Florida 32611-8435, USA
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Martínez-Mesa A, Uranga-Piña L, Rojas-Lorenzo G, Rubayo-Soneira J. Testing LiAr interaction through the relaxation dynamics of lithium doped argon matrices: Intermediate energy barrier of the C2Σ+ state. Chem Phys Lett 2006. [DOI: 10.1016/j.cplett.2006.06.012] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Gervais B, Giglio E, Jacquet E, Ipatov A, Reinhard PG, Suraud E. Simple DFT model of clusters embedded in rare gas matrix: Trapping sites and spectroscopic properties of Na embedded in Ar. J Chem Phys 2004; 121:8466-80. [PMID: 15511170 DOI: 10.1063/1.1789473] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We present a theoretical model to study the dynamics of metallic clusters embedded in a rare gas matrix. We describe the active electrons of the embedded cluster using time dependent density functional theory, while the surrounding matrix is described in terms of classical molecular dynamics of polarizable atoms. The coupling between the cluster and the rare gas atoms is deduced from the work of Gross and Spiegelmann [J. Chem. Phys. 108, 4148 (1998)] and reformulated explicitly in a simple and efficient density functional form. The electron rare gas interaction takes the form of an averaged dipole fluctuation term, which retains the van der Waals long range interaction, and a short range repulsive pseudopotential, which accounts for the Pauli repulsion of the electron by the rare gas atom. We applied our model to Na clusters embedded in Ar matrix. For the latter we developed an efficient local pseudopotential, which allows studying systems containing more than 10(3) Ar atoms. We show that large systems are indeed necessary to account properly for long range polarization of the matrix, that competes with the matrix confinement effect. We focus our study on Na(2), Na(4), and Na(8). For each system, we have determined the geometry of the most favorable trapping site by means of damped molecular dynamics. We present the effect of matrix embedding on the optical absorption spectrum. For Na(2), the trapping site can be unambiguously identified by comparison of the absorption spectrum with experiment. For Na(4) the spectrum of the embedded cluster is significantly different from the free cluster spectrum, while for Na(8) differences are less pronounced.
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Affiliation(s)
- B Gervais
- CIRIL, unité mixte CEA-CNRS-ENSICAEN et Université de Caen Basse-Normandie BP 5133, F-14070 Caen Cedex 05, France
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Reyes A, Micha DA. Dynamics of electronic excitation in collisions of alkali atoms with noble-gas atoms using atomic core potentials. J Chem Phys 2003. [DOI: 10.1063/1.1625916] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Spiegelman F, Maron L, Breckenridge WH, Mestdagh JM, Visticot JP. Two-electron pseudopotential investigation of the electronic structure of the CaAr molecule. J Chem Phys 2002. [DOI: 10.1063/1.1506921] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Reyes A, Micha D, Runge K. First principles dynamics of Li–He collisional excitation using atomic core potentials. Chem Phys Lett 2002. [DOI: 10.1016/s0009-2614(02)01235-6] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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19
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Jonin C, Laporte P, Spiegelmann F. Pseudopotential hole–particle formalism for excitations in xenon molecules and clusters. I. Theory, atomic and molecular tests. J Chem Phys 2002. [DOI: 10.1063/1.1491399] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kerkines ISK, Mavridis A. Theoretical investigation of theX2Σ+,A2Π, andB2Σ+ states of LiAr and LiKr. J Chem Phys 2002. [DOI: 10.1063/1.1473809] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
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Rhouma MBEH, Berriche H, Lakhdar ZB, Spiegelman F. One-electron pseudopotential calculations of excited states of LiAr, NaAr, and KAr. J Chem Phys 2002. [DOI: 10.1063/1.1429247] [Citation(s) in RCA: 61] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Groß M, Spiegelmann F. Theoretical study of spectroscopical properties of Na and Na2 in argon clusters and matrices. J Chem Phys 1998. [DOI: 10.1063/1.475813] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Duplàa P, Spiegelmann F. A pseudopotential hole‐particle treatment of neutral rare gas excimer systems. I. Formalism. J Chem Phys 1996. [DOI: 10.1063/1.472011] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Czuchaj E, Rebentrost F, Stoll H, Preuss H. Pseudopotential calculations for the potential energies of Ca+He and Ca+Ne. Chem Phys 1996. [DOI: 10.1016/0301-0104(96)00043-2] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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25
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Czuchaj E, Rebentrost F, Stoll H, Preuss H. Pseudopotential calculations for the potential energies of LiHe and BaHe. Chem Phys 1995. [DOI: 10.1016/0301-0104(95)00113-3] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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26
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Fajardo ME. Classical Monte Carlo simulations of relaxed trapping site structures in Li atom doped solid Ne. J Chem Phys 1993. [DOI: 10.1063/1.464660] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Fajardo ME. Matrix isolation spectroscopy of metal atoms generated by laser ablation. II. The Li/Ne, Li/D2, and Li/H2 systems. J Chem Phys 1993. [DOI: 10.1063/1.464659] [Citation(s) in RCA: 72] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Estrin DA, Tsoo C, Singer SJ. Accurate non-local electron—argon pseudopotential for condensed phase simulation. Chem Phys Lett 1991. [DOI: 10.1016/0009-2614(91)80036-w] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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30
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Patil SH. Adiabatic potentials for alkali–inert gas systems in the ground state. J Chem Phys 1991. [DOI: 10.1063/1.460091] [Citation(s) in RCA: 106] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Lee CJ, Havey MD. Laser spectroscopy of the 3s 2 Sigma +p 2 Pi transition in LiNe. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:6066-6074. [PMID: 9904939 DOI: 10.1103/physreva.43.6066] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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32
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Pseudopotential calculations for the potential energy curves and transition dipole moments of the NaHg system. Chem Phys Lett 1991. [DOI: 10.1016/0009-2614(91)87064-i] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Patil SH. Interaction of inert‐gas atoms with some closed‐shell cations and formation of cluster molecules. J Chem Phys 1991. [DOI: 10.1063/1.459730] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Czuchaj E, Rebentrost F, Stoll H, Preuss H. Semi-empirical calculation of the potential curves of NaNe, Na+Ne and Na−Ne. Chem Phys Lett 1990. [DOI: 10.1016/0009-2614(90)87255-p] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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35
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Czuchaj E, Rebentrost F, Stoll H, Preuss H. Semi-local pseudopotential calculations for the potential energies of the CaHe and CaNe systems. Chem Phys 1989. [DOI: 10.1016/0301-0104(89)87137-x] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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