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Rakić M, Beuc R, Bouloufa-Maafa N, Dulieu O, Vexiau R, Pichler G, Skenderović H. Satellite bands of the RbCs molecule in the range of highly excited states. J Chem Phys 2016; 144:204310. [PMID: 27250309 DOI: 10.1063/1.4952758] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022] Open
Abstract
We report on the observation of three RbCs satellite bands in the blue and green ranges of the visible spectrum. Absorption measurements are performed using all-sapphire cell filled with a mixture of Rb and Cs. We compare high resolution absorption spectrum of Rb-Cs vapor mixture with pure Rb and Cs vapor spectra from the literature. After detailed analysis, the new satellite bands of RbCs molecule at 418.3 nm, 468.3, and 527.5 nm are identified. The origin of these bands is discussed by direct comparison with difference potentials derived from quantum chemistry calculations of RbCs potential energy curves. These bands originate from the lower Rydberg states of the RbCs molecule. This study thus provides further insight into photoassociation of lower Rydberg molecular states, approximately between Cs(7s) + Rb(5s) and Cs(6s) + Rb(6p) asymptotes, in ultracold gases.
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Affiliation(s)
- Mario Rakić
- Institute of Physics, Bijenička cesta 46, Zagreb 10000, Croatia
| | - Robert Beuc
- Institute of Physics, Bijenička cesta 46, Zagreb 10000, Croatia
| | - Nadia Bouloufa-Maafa
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Bât. 505, Campus d'Orsay, Orsay Cedex 91405, France
| | - Olivier Dulieu
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Bât. 505, Campus d'Orsay, Orsay Cedex 91405, France
| | - Romain Vexiau
- Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, ENS Cachan, Université Paris-Saclay, Bât. 505, Campus d'Orsay, Orsay Cedex 91405, France
| | - Goran Pichler
- Physics Department, Kuwait University, PO Box 5969, Safat-13060, Kuwait
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Shizgal BD. Pseudospectral method of solution of the Schrödinger equation with non classical polynomials; the Morse and Pöschl–Teller (SUSY) potentials. COMPUT THEOR CHEM 2016. [DOI: 10.1016/j.comptc.2016.03.002] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Londoño BE, Mahecha J, Luc-Koenig E, Crubellier A. Lifetime of vibrational levels from Fourier grid calculations: RbCs example. Phys Chem Chem Phys 2011; 13:18738-54. [PMID: 21971363 DOI: 10.1039/c1cp21167f] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
We present systematic calculations of the lifetimes of vibrational levels of excited Rb(5s)Cs(6p(1/2)) 0(+) electronic states. We show that a precise description of the variation with the internuclear distance of the transition dipole moment between electronic states is essential. It is also crucial to account precisely for the spin-orbit coupling between the Rb(5s)Cs(6p) A (1)Σ(+) and b (3)Π states. We describe the general trends of the probability of formation of stable molecules in the Rb(5s)Cs(6s) X (1)Σ(+) and a (3)Σ(+) electronic states, through radiative decay from the 0(+)v' levels, together with the branching ratios for the obtention of singlet or triplet molecules, stable with respect to dissociation. Furthermore, this analysis allows us to demonstrate the efficiency of the Mapped Fourier Grid Hamiltonian Representation method (MFGHR) to determine rigorously the energy variation, throughout the continuous part of the spectrum, of the density of an observable connecting bound vibrational levels and continuum states. The resolution in energy can be adapted to the studied problem through a judicious choice of the grid parameters.
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Affiliation(s)
- B E Londoño
- Instituto de Fìsica, Universidad de Antioquia, Calle 67 N 53-108, AA 1226 Medellin, Colombia
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Bellos MA, Rahmlow D, Carollo R, Banerjee J, Dulieu O, Gerdes A, Eyler EE, Gould PL, Stwalley WC. Formation of ultracold Rb2 molecules in the v'' = 0 level of the a(3)Σ+(u) state via blue-detuned photoassociation to the 1(3)Π(g) state. Phys Chem Chem Phys 2011; 13:18880-6. [PMID: 21909578 DOI: 10.1039/c1cp21383k] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We report on the observation of blue-detuned photoassociation in Rb(2), in which vibrational levels are energetically above the corresponding excited atomic asymptote. (85)Rb atoms in a MOT were photoassociated at short internuclear distance to levels of the 1(3)Π(g) state at a rate of approximately 5 × 10(4) molecules s(-1). We have observed most of the predicted vibrational levels for all four spin-orbit components; 0(+)(g), 0(-)(g), 1(g), and 2(g), including levels of the 0(+)(g) outer well. These molecules decay to the metastable a(3)Σ(+)(u) state, some preferentially to the v'' = 0 level, as we have observed for photoassociation to the v' = 8 level of the 1(g) component.
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Affiliation(s)
- M A Bellos
- Department of Physics, University of Connecticut, Storrs, Connecticut 06269-3046, USA.
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Lauvergnat D, Nauts A. Torsional energy levels of nitric acid in reduced and full dimensionality with ElVibRot and Tnum. Phys Chem Chem Phys 2010; 12:8405-12. [DOI: 10.1039/c001944e] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Lo J, Shizgal BD. Spectral convergence of the quadrature discretization method in the solution of the Schrödinger and Fokker-Planck equations: Comparison with sinc methods. J Chem Phys 2006; 125:194108. [PMID: 17129090 DOI: 10.1063/1.2378622] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
Spectral methods based on nonclassical polynomials and Fourier basis functions or sinc interpolation techniques are compared for several eigenvalue problems for the Fokker-Planck and Schrodinger equations. A very rapid spectral convergence of the eigenvalues versus the number of quadrature points is obtained with the quadrature discretization method (QDM) and the appropriate choice of the weight function. The QDM is a pseudospectral method and the rate of convergence is compared with the sinc method reported by Wei [J. Chem. Phys., 110, 8930 (1999)]. In general, sinc methods based on Fourier basis functions with a uniform grid provide a much slower convergence. The paper considers Fokker-Planck equations (and analogous Schrodinger equations) for the thermalization of electrons in atomic moderators and for a quartic potential employed to model chemical reactions. The solution of the Schrodinger equation for the vibrational states of I2 with a Morse potential is also considered.
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Affiliation(s)
- Joseph Lo
- Institute of Applied Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada.
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Gindensperger E, Meier C, Beswick JA, Parlant G. Combining fixed- and moving-grid methods to study direct dissociation processes involving nonadiabatic transitions. J Chem Phys 2005; 123:214107. [PMID: 16356039 DOI: 10.1063/1.2114807] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
We present a novel quantum-dynamics approach suitable for computing direct dissociation processes, including electronic transitions. This approach combines quantum trajectories in the Lagrangian reference frame with standard fixed-grid wave packets in order to overcome the limitations and difficulties of both techniques. As a model application, we consider the ultrafast photodissociation of H2 excited by a femtosecond extreme UV laser pulse.
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Affiliation(s)
- Etienne Gindensperger
- Laboratoire Collisions Agrégats Réactivité, Institut de Recherche sur les Systémes Atomiques et Moléculaires Complexes, Centre National de la Recherche Scientifique -Université Paul Sabatier, Toulouse, France.
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Stare J, Balint-Kurti GG. Fourier Grid Hamiltonian Method for Solving the Vibrational Schrödinger Equation in Internal Coordinates: Theory and Test Applications. J Phys Chem A 2003. [DOI: 10.1021/jp034440z] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jernej Stare
- National Institute of Chemistry, Hajdrihova 19, SI-1000 Ljubljana, Slovenia
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Fair JR, Schaefer D, Kosloff R, Nesbitt DJ. Intramolecular energy flow and nonadiabaticity in vibrationally mediated chemistry: Wave packet studies of Cl+H2O. J Chem Phys 2002. [DOI: 10.1063/1.1429651] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Nest M, Saalfrank P. Open-system quantum dynamics for gas-surface scattering: Nonlinear dissipation and mapped Fourier grid methods. J Chem Phys 2000. [DOI: 10.1063/1.1318902] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Nest M, Kleinekathöfer U, Schreiber M, Saalfrank P. The mapped Fourier method for scattering problems. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00941-0] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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12
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Ban T, Ter-Avetisyan S, Beuc R, Skenderović H, Pichler G. Photoassociation of cesium atoms into the double minimum 3 state. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)01049-0] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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13
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Stwalley WC, Wang H. Photoassociation of Ultracold Atoms: A New Spectroscopic Technique. JOURNAL OF MOLECULAR SPECTROSCOPY 1999; 195:194-228. [PMID: 10329265 DOI: 10.1006/jmsp.1999.7838] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
The new spectroscopic technique of photoassociation of ultracold atoms is reviewed, with an emphasis on connecting this area to traditional bound-state molecular spectroscopy. In particular, in contrast to photoassociative spectra at thermal energies, which are broad and of low information content, photoassociative spectra of ultracold atoms are high resolution, permitting observation of small vibrational and rotational spacings of long-range molecular levels near dissociation (typically with outer classical turning points >20 Å). The types of detection and theoretical analysis employed are illustrated, primarily using the example of 39K2. Future directions and applications of this field (e.g., to ultracold molecular formation) are also discussed. Copyright 1999 Academic Press.
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Affiliation(s)
- WC Stwalley
- Department of Physics, University of Connecticut, 2152 Hillside Road, Storrs, Connecticut, 06269-3046
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Kokoouline V, Dulieu O, Kosloff R, Masnou-Seeuws F. Mapped Fourier methods for long-range molecules: Application to perturbations in the Rb2(0u+) photoassociation spectrum. J Chem Phys 1999. [DOI: 10.1063/1.478860] [Citation(s) in RCA: 202] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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