1
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Brady RP, Drury C, Yurchenko SN, Tennyson J. Numerical Equivalence of Diabatic and Adiabatic Representations in Diatomic Molecules. J Chem Theory Comput 2024; 20:2127-2139. [PMID: 38171539 PMCID: PMC10938500 DOI: 10.1021/acs.jctc.3c01150] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/17/2023] [Revised: 12/19/2023] [Accepted: 12/20/2023] [Indexed: 01/05/2024]
Abstract
The (time-independent) Schrödinger equation for atomistic systems is solved by using the adiabatic potential energy curves (PECs) and the associated adiabatic approximation. In cases where interactions between electronic states become important, the associated nonadiabatic effects are taken into account via derivative couplings (DDRs), also known as nonadiabatic couplings (NACs). For diatomic molecules, the corresponding PECs in the adiabatic representation are characterized by avoided crossings. The alternative to the adiabatic approach is the diabatic representation obtained via a unitary transformation of the adiabatic states by minimizing the DDRs. For diatomics, the diabatic representation has zero DDR and nondiagonal diabatic couplings ensue. The two representations are fully equivalent and so should be the rovibronic energies and wave functions, which result from the solution of the corresponding Schrödinger equations. We demonstrate (for the first time) the numerical equivalence between the adiabatic and diabatic rovibronic calculations of diatomic molecules using the ab initio curves of yttrium oxide (YO) and carbon monohydride (CH) as examples of two-state systems, where YO is characterized by a strong NAC, while CH has a strong diabatic coupling. Rovibronic energies and wave functions are computed using a new diabatic module implemented in the variational rovibronic code Duo. We show that it is important to include both the diagonal Born-Oppenheimer correction and nondiagonal DDRs. We also show that the convergence of the vibronic energy calculations can strongly depend on the representation of nuclear motion used and that no one representation is best in all cases.
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Affiliation(s)
- Ryan P. Brady
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, U.K.
| | - Charlie Drury
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, U.K.
| | - Sergei N. Yurchenko
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, U.K.
| | - Jonathan Tennyson
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, U.K.
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2
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Saly E, Ferenc D, Mátyus E. Pre-Born–Oppenheimer energies, leading-order relativistic and QED corrections for electronically excited states of molecular hydrogen. Mol Phys 2023. [DOI: 10.1080/00268976.2022.2163714] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Affiliation(s)
- Eszter Saly
- Institute of Chemistry, ELTE, Eötvös Loránd University, Budapest, Hungary
| | - Dávid Ferenc
- Institute of Chemistry, ELTE, Eötvös Loránd University, Budapest, Hungary
| | - Edit Mátyus
- Institute of Chemistry, ELTE, Eötvös Loránd University, Budapest, Hungary
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3
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Mátyus E, Ferenc D. Vibronic mass computation for the EF– GK– H 1Σ g+ manifold of molecular hydrogen. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2074905] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Edit Mátyus
- Institute of Chemistry, ELTE, Eötvös Loránd University, Budapest, Hungary
| | - Dávid Ferenc
- Institute of Chemistry, ELTE, Eötvös Loránd University, Budapest, Hungary
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4
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Siłkowski M, Pachucki K. Born–Oppenheimer potentials for Π, Δ, and Φ states of the hydrogen molecule. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2062471] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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5
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Lai KF, Salumbides EJ, Beyer M, Ubachs W. Precision measurement of quasi-bound resonances in H2 and the H + H scattering length. Mol Phys 2021. [DOI: 10.1080/00268976.2021.2018063] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- K.-F. Lai
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit, Amsterdam, Netherlands
| | - E. J. Salumbides
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit, Amsterdam, Netherlands
| | - M. Beyer
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit, Amsterdam, Netherlands
| | - W. Ubachs
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit, Amsterdam, Netherlands
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6
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Dressler K. The collaboration Wolniewicz–Dressler 1976–1994. Mol Phys 2021. [DOI: 10.1080/00268976.2021.2007308] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Kurt Dressler
- Laboratory of Physical Chemistry, ETH Zurich, Zurich, Switzerland
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7
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Lai KF, Salumbides EJ, Ubachs W, Beyer M. Shape Resonances in H_{2} as Photolysis Reaction Intermediates. PHYSICAL REVIEW LETTERS 2021; 127:183001. [PMID: 34767422 DOI: 10.1103/physrevlett.127.183001] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2021] [Revised: 09/02/2021] [Accepted: 09/27/2021] [Indexed: 06/13/2023]
Abstract
Shape resonances in H_{2}, produced as reaction intermediates in the photolysis of H_{2}S precursor molecules, are measured in a half-collision approach. Before disintegrating into two ground state H atoms, the reaction is quenched by two-photon Doppler-free excitation to the F electronically excited state of H_{2}. For J=13, 15, 17, 19, and 21, resonances with lifetimes in the range of nano- to milliseconds were observed with an accuracy of 30 MHz (1.4 mK). The experimental resonance positions are found to be in excellent agreement with theoretical predictions when nonadiabatic and quantum electrodynamical corrections are included. This is the first time such effects are observed in collisions between neutral atoms. From the potential energy curve of the H_{2} molecule, now tested at high accuracy over a wide range of internuclear separations, the s-wave scattering length for singlet H(1s)+H(1s) scattering is determined at a=0.2735_{31}^{39} a_{0}.
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Affiliation(s)
- K-F Lai
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit De Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - E J Salumbides
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit De Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - W Ubachs
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit De Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - M Beyer
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit De Boelelaan 1081, 1081 HV Amsterdam, Netherlands
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8
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Lai KF, Beyer M, Salumbides EJ, Ubachs W. Photolysis Production and Spectroscopic Investigation of the Highest Vibrational States in H 2 (X 1Σ g+ v = 13, 14). J Phys Chem A 2021; 125:1221-1228. [PMID: 33502853 PMCID: PMC7883349 DOI: 10.1021/acs.jpca.0c11136] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2020] [Indexed: 11/29/2022]
Abstract
Rovibrational quantum states in the X1Σg+ electronic ground state of H2 are prepared in the v = 13 vibrational level up to its highest bound rotational level J = 7, and in the highest bound vibrational level v = 14 (for J = 1) by two-photon photolysis of H2S. These states are laser-excited in a subsequent two-photon scheme into F1Σg+ outer well states, where the assignment of the highest (v,J) states is derived from a comparison of experimentally known levels in F1Σg+, combined with ab initio calculations of X1Σg+ levels. The assignments are further verified by excitation of F1Σg+ population into autoionizing continuum resonances, which are compared with multichannel quantum defect calculations. Precision spectroscopic measurements of the F-X intervals form a test for the ab initio calculations of ground state levels at high vibrational quantum numbers and large internuclear separations, for which agreement is found.
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Affiliation(s)
- K.-F. Lai
- Department of Physics and
Astronomy, LaserLaB, Vrije UniversiteitDe Boelelaan 1081, 1081 HV Amsterdam, The Netherlands
| | - M. Beyer
- Department of Physics and
Astronomy, LaserLaB, Vrije UniversiteitDe Boelelaan 1081, 1081 HV Amsterdam, The Netherlands
| | - E. J. Salumbides
- Department of Physics and
Astronomy, LaserLaB, Vrije UniversiteitDe Boelelaan 1081, 1081 HV Amsterdam, The Netherlands
| | - W. Ubachs
- Department of Physics and
Astronomy, LaserLaB, Vrije UniversiteitDe Boelelaan 1081, 1081 HV Amsterdam, The Netherlands
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9
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Quinn MS, Nauta K, Kable SH. Disentangling the H2E, F(1Σg+) (v′=0−18)←X(1Σg+)(v″=3−9)(2+1) REMPI spectrum via 2D velocity-mapped imaging. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1836412] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Mitchell S. Quinn
- The University of New South Wales at Sydney, Kensington, NSW, Australia
| | - Klaas Nauta
- The University of New South Wales at Sydney, Kensington, NSW, Australia
| | - Scott H. Kable
- The University of New South Wales at Sydney, Kensington, NSW, Australia
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10
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Donovan RJ, Lawley KP. Heavy Rydberg vibronic structure and quantum defects for the double minimum EF(1Σg+) state of H2, D2, T2 and HD. Chem Phys Lett 2020. [DOI: 10.1016/j.cplett.2020.137821] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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11
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Trivikram TM, Salumbides EJ, Jungen C, Ubachs W. Excitation of H 2 at large internuclear separation: outer well states and continuum resonances. Mol Phys 2019. [DOI: 10.1080/00268976.2019.1599457] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- T. M. Trivikram
- Department of Physics and Astronomy, and LaserLaB, Vrije Universiteit, Amsterdam, The Netherlands
| | - E. J. Salumbides
- Department of Physics and Astronomy, and LaserLaB, Vrije Universiteit, Amsterdam, The Netherlands
| | - Ch. Jungen
- Department of Physics and Astronomy, University College London, London, United Kingdom
| | - W. Ubachs
- Department of Physics and Astronomy, and LaserLaB, Vrije Universiteit, Amsterdam, The Netherlands
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12
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Beyer M, Hölsch N, Hussels J, Cheng CF, Salumbides EJ, Eikema KSE, Ubachs W, Jungen C, Merkt F. Determination of the Interval between the Ground States of Para- and Ortho-H_{2}. PHYSICAL REVIEW LETTERS 2019; 123:163002. [PMID: 31702363 DOI: 10.1103/physrevlett.123.163002] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2019] [Indexed: 06/10/2023]
Abstract
Nuclear-spin-symmetry conservation makes the observation of transitions between quantum states of ortho- and para-H_{2} extremely challenging. Consequently, the energy-level structure of H_{2} derived from experiment consists of two disjoint sets of level energies, one for para-H_{2} and the other for ortho-H_{2}. We use a new measurement of the ionization energy of para-H_{2} [E_{I}(H_{2})/(hc)=124 417.491 098(31) cm^{-1}] to determine the energy separation [118.486 770(50) cm^{-1}] between the ground states of para- and ortho-H_{2} and thus link the energy-level structure of the two nuclear-spin isomers of this fundamental molecule. Comparison with recent theoretical results [M. Puchalski et al., Phys. Rev. Lett. 122, 103003 (2019)PRLTAO0031-900710.1103/PhysRevLett.122.103003] enables the derivation of an upper bound of 1.5 MHz for a hypothetical global shift of the energy-level structure of ortho-H_{2} with respect to that of para-H_{2}.
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Affiliation(s)
- M Beyer
- Laboratorium für Physikalische Chemie, ETH Zürich, 8093 Zürich, Switzerland
| | - N Hölsch
- Laboratorium für Physikalische Chemie, ETH Zürich, 8093 Zürich, Switzerland
| | - J Hussels
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit Amsterdam, de Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - C-F Cheng
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit Amsterdam, de Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - E J Salumbides
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit Amsterdam, de Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - K S E Eikema
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit Amsterdam, de Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - W Ubachs
- Department of Physics and Astronomy, LaserLaB, Vrije Universiteit Amsterdam, de Boelelaan 1081, 1081 HV Amsterdam, Netherlands
| | - Ch Jungen
- Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
| | - F Merkt
- Laboratorium für Physikalische Chemie, ETH Zürich, 8093 Zürich, Switzerland
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13
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Ferenc D, Mátyus E. Non-adiabatic mass correction for excited states of molecular hydrogen: Improvement for the outer-well HH¯ 1Σ g + term values. J Chem Phys 2019; 151:094101. [PMID: 31492075 DOI: 10.1063/1.5109964] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The mass-correction function is evaluated for selected excited states of the hydrogen molecule within a single-state nonadiabatic treatment. Its qualitative features are studied at the avoided crossing of the EF with the GK state and also for the outer well of the HH¯ state. For the HH¯ state, a negative mass correction is obtained for the vibrational motion near the outer minimum, which accounts for most of the deviation between experiment and earlier theoretical work.
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Affiliation(s)
- Dávid Ferenc
- Institute of Chemistry, ELTE, Eötvös Loránd University, Pázmány Péter Sétány 1/A, Budapest H-1117, Hungary
| | - Edit Mátyus
- Institute of Chemistry, ELTE, Eötvös Loránd University, Pázmány Péter Sétány 1/A, Budapest H-1117, Hungary
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14
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Kirrander A, Jungen C, Donovan RJ, Lawley KP. Heavy Rydberg states: large amplitude vibrations. Faraday Discuss 2018; 212:175-190. [PMID: 30318538 DOI: 10.1039/c8fd00096d] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Abstract
Extremely large vibrational amplitude (≈8700 a.u.) heavy Rydberg levels in the HH[combining macron]1Σ+g state, located only 25 cm-1 below the ion-pair dissociation limit, are reported. The calculations are done using a hybrid log derivative/multichannel quantum defect approach that accounts for predissociation and is capable of dealing with any number of long-range closed channels, and of providing positions and widths for the heavy Rydberg resonances. In this case, resonance positions can be reproduced qualitatively using a simple diabatic model (however, the resonance widths cannot). Absolute quantum defects are derived for the vibrational series ranging from ν = 0 to ν = 2010. The influence of the Coulomb potential and continuity of heavy Rydberg behavior throughout the 1Σ+g manifold of states is demonstrated.
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Affiliation(s)
- Adam Kirrander
- EaStCHEM, School of Chemistry, University of Edinburgh, David Brewster Road, EH9 3FJ Edinburgh, UK.
| | - Christian Jungen
- Department of Physics and Astronomy, University College London, London WC1E 6BT, UK
| | - Robert J Donovan
- EaStCHEM, School of Chemistry, University of Edinburgh, David Brewster Road, EH9 3FJ Edinburgh, UK.
| | - Kenneth P Lawley
- EaStCHEM, School of Chemistry, University of Edinburgh, David Brewster Road, EH9 3FJ Edinburgh, UK.
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15
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Hölsch N, Beyer M, Merkt F. Nonadiabatic effects on the positions and lifetimes of the low-lying rovibrational levels of the GK 1Σ and H 1Σ states of H 2. Phys Chem Chem Phys 2018; 20:26837-26845. [PMID: 30328429 DOI: 10.1039/c8cp05233f] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The term values of rovibrational levels of the GK 1Σ+g and H 1Σ+g states of H2 have been measured with absolute and relative accuracies down to 10-4 cm-1 (≈3 MHz) and 10-6 cm-1 (≈30 kHz), respectively, by measuring transitions to long-lived high-n Rydberg states using single-mode cw laser radiation and a collimated supersonic beam of cold H2 molecules. The term values are compared with those determined in earlier experimental and theoretical investigations and the comparison points at discrepancies and a need for improved theoretical treatments of nonadiabatic, relativistic and radiative corrections for these states. The lifetimes of several low-lying rovibrational levels of the GK, H and I+ 1Πg states have been determined in pump-probe experiments. These lifetimes reveal a significant dependence on the electronic, vibrational and rotational excitation and also deviate from results obtained in earlier experimental and theoretical investigations.
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Affiliation(s)
- Nicolas Hölsch
- Laboratory of Physical Chemistry, ETH Zurich, CH-8093 Zurich, Switzerland.
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16
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Sanli A, Beser B, Edwardson JR, Magnier S, Ahmed EH, Marjatta Lyyra A. Electronic transition dipole moment and radiative lifetime calculations of sodium dimer ion-pair states. J Chem Phys 2015; 143:104304. [DOI: 10.1063/1.4929925] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Affiliation(s)
- Aydin Sanli
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Bediha Beser
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - John R. Edwardson
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Sylvie Magnier
- Laboratoire de Physique des Lasers, Atomes et Molecules, UMR-CNRS 8523, Universite Lille 1-Sciences et Technologies, F-559655 Villeneuve d’Ascq, France
| | - Ergin H. Ahmed
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - A. Marjatta Lyyra
- Physics Department, Temple University, Philadelphia, Pennsylvania 19122, USA
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17
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Sprecher D, Jungen C, Merkt F. Spectrum of the Autoionizing Triplet Gerade Rydberg States of H2 and its Analysis Using Multichannel Quantum-Defect Theory. J Phys Chem A 2013; 117:9462-76. [DOI: 10.1021/jp311793t] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Daniel Sprecher
- Laboratory of Physical Chemistry, ETH Zürich, 8093 Zürich, Switzerland
| | - Christian Jungen
- Laboratoire Aimé Cotton
du CNRS, Université de Paris-Sud, 91405 Orsay, France
| | - Frédéric Merkt
- Laboratory of Physical Chemistry, ETH Zürich, 8093 Zürich, Switzerland
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18
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Glass-Maujean M, Jungen C, Roudjane M, Tchang-Brillet WÜL. Theory of vibronic interactions in D2 and H2: A comparison between multichannel-quantum-defect and coupled-equation approaches. J Chem Phys 2011; 134:204305. [DOI: 10.1063/1.3593274] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
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19
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Ivanov TI, de Lange CA, Ubachs W. Spectral identification of diffuse resonances in H2 above the n = 2 dissociation limit. J Chem Phys 2011; 134:054309. [PMID: 21303122 DOI: 10.1063/1.3544300] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The resonance structure in molecular hydrogen above the n = 2 dissociation limit is experimentally investigated in a 1 XUV + 1 VIS coherent two-step laser excitation process, with subsequent ionization of H(n = 2) products. Diffuse spectral features exhibiting widths of several cm(-1) in the excitation range of 118,500-120,500 cm(-1) are probed. Information on angular momentum selection rules for parallel and crossed polarizations, combination differences, the para-ortho distinction, extrapolation from rovibrational structure in the bound region below the n = 2 threshold, and mass-selective detection of H(2)(+) parent and H(+) daughter fragments is used as input. This allows for an assignment of the diffuse resonances observed in terms of (1)Σ(g)(+), (1)Π(g), and (1)Δ(g) states, specified with vibrational and rotational quantum numbers.
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Affiliation(s)
- T I Ivanov
- Institute for Lasers, Life and BioPhotonics, VU University, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands
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20
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Dressler K, Wolniewicz L. A. Experiment and Theory of High Resolution Spectra of Rovibronic Molecular States. Improved Theoretical1Σu+and1ΠuWavefunctions, Energies, and Transition Moments for the H2Molecule. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19950990303] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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21
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Bailly D, Salumbides E, Vervloet M, Ubachs W. Accurate level energies in the EF1, GK1, H1, B1, , B′1, , , J1Δgstates of H2. Mol Phys 2010. [DOI: 10.1080/00268970903413350] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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22
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Ross SC, Ando J, Tsukiyama K. Lifetimes of rovibrational levels of the long-range I′ 1Π g state of H 2 and D 2: experiment and theory. Mol Phys 2010. [DOI: 10.1080/00268970903521186] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Stephen C. Ross
- a Department of Physics, and Centre for Laser, Atomic, and Molecular Sciences , University of New Brunswick , P.O. Box 4400, Fredericton, NB E3B 5A3, Canada
- b Infrared Free Electron Laser Research Center , Tokyo University of Science , 2641 Yamazaki, Noda, Chiba 278-8510, Japan
| | - Jun Ando
- c Faculty of Science, Department of Chemistry , Tokyo University of Science , 1–3 Kagurazaka, Shinjuku, Tokyo 162-8601, Japan
| | - Koichi Tsukiyama
- b Infrared Free Electron Laser Research Center , Tokyo University of Science , 2641 Yamazaki, Noda, Chiba 278-8510, Japan
- c Faculty of Science, Department of Chemistry , Tokyo University of Science , 1–3 Kagurazaka, Shinjuku, Tokyo 162-8601, Japan
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23
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Corongiu G, Clementi E. Energy and density analyses of the H2 molecule from the united atom to dissociation: The ∑1g+ states. J Chem Phys 2009; 131:034301. [DOI: 10.1063/1.3168506] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
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24
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Glass-Maujean M, Jungen C. Nonadiabatic Ab Initio Multichannel Quantum Defect Theory Applied to Absolute Experimental Absorption Intensities in H2. J Phys Chem A 2009; 113:13124-32. [DOI: 10.1021/jp902846c] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- M. Glass-Maujean
- Laboratoire de Physique Moléculaire pour l’Atmosphère et l’Astrophysique, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05, France, Laboratoire Aimé Cotton du CNRS, Bâtiment 505, Université de Paris-Sud, F-91405 Orsay, France, and Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
| | - Ch. Jungen
- Laboratoire de Physique Moléculaire pour l’Atmosphère et l’Astrophysique, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05, France, Laboratoire Aimé Cotton du CNRS, Bâtiment 505, Université de Paris-Sud, F-91405 Orsay, France, and Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
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25
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Ross SC, Yoshinari T, Ogi Y, Tsukiyama K. Decay dynamics of the long-range H¯Σg+1 state of D2 and H2: Experiment and theory. J Chem Phys 2006; 125:133205. [PMID: 17029452 DOI: 10.1063/1.2264331] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We present accurate experimental measurements of the lifetimes of rovibrational levels of the long-range H1Sigmag+ state for both D2 and H2, obtained directly from the observation of the time-dependent decay of the fluorescence from these excited levels. These results improve upon and extend those of Reinhold et al. [J. Chem. Phys. 112, 10754 (2000)]. Several decay pathways are open to these levels including fluorescence, predissociation, and autoionization. We present theoretical results for each of these processes, each calculated using the simplest but still appropriate level of theory. In particular, the theoretical calculations provide a quantitative explanation of the dramatic vibrational dependence of the observed lifetimes, the isotope dependence of the lifetimes for levels well localized within the H potential well and therefore not subject to significant tunneling, and an insight into the role of enhanced tunneling in autoionization. In these calculations each of the rovibrational levels of the H state is treated individually, without having to engage in a global coupled-state calculation.
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Affiliation(s)
- Stephen C Ross
- Department of Physics and Centre for Laser, Atomic, and Molecular Sciences, University of New Brunswick, Fredericton, New Brunswick, E3B 5A3 Canada.
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Álvarez Ruiz J, Erman P, Kivimäki A, Melero Garcia E, Rachlew E, Stankiewicz M. Selective excitation of the npσ1Σu+ and npπ1Πu to E,F 1Σg+ emission systems in molecular hydrogen using synchrotron radiation. Chem Phys Lett 2004. [DOI: 10.1016/j.cplett.2004.02.060] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Staszewska G. Transition Moments between w3Πg State and the First Three 3Σu and 3Πu States of the Hydrogen Molecule. J Phys Chem A 2001. [DOI: 10.1021/jp003781z] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Grażyna Staszewska
- Institute of Physics, Nicholas Copernicus University, ul. Grudziadzka 5, 87-100 Toruń, Poland
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Reinhold E, Hogervorst W, Ubachs W. Tunneling and decay dynamics of H̄ 1Σg+ outer well states in hydrogen. J Chem Phys 2000. [DOI: 10.1063/1.481719] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Reinhold E, de Lange A, Hogervorst W, Ubachs W. Observation of the I′ 1Πg outer well state in H2 and D2. J Chem Phys 1998. [DOI: 10.1063/1.477647] [Citation(s) in RCA: 33] [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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Suzuki H, Nakata M, Ogi Y, Tsukiyama K. The H1Sigma+<INF POS="STACK">g (v = 0 and 1) and EF1Sigma+<INF POS="STACK">g (v = 28 and 32) States of D2: Term Values and Fluorescence Lifetimes. JOURNAL OF MOLECULAR SPECTROSCOPY 1998; 191:142-147. [PMID: 9724590 DOI: 10.1006/jmsp.1998.7622] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
The extreme ultraviolet-visible double resonant excitation method was applied to the gerade Rydberg states of D2 molecules. Tunable coherent extreme ultraviolet radiation near 103 nm prepared D2 in the B1Sigma+<INF POS="STACK">u (v = 7, J) state. Visible laser light subsequently brought them to the H1Sigma+<INF POS="STACK">g (v = 0 and 1), EF1Sigma+<INF POS="STACK">g (v = 28 and 32), and GK1Sigma+<INF POS="STACK">g (v = 2 and 5) states. Our term values for the GK1Sigma+<INF POS="STACK">g state were in complete agreement with previous values, while deviations beyond the experimental error were found for the H1Sigma+<INF POS="STACK">g (v = 1) and EF1Sigma+<INF POS="STACK">g (v = 28 and 32) states. The fluorescence lifetimes, measured under a collision-free environment for the first time, were in reasonable agreement with ab initio calculations. Copyright 1998 Academic Press.
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Affiliation(s)
- H Suzuki
- Faculty of Science, Science University of Tokyo, Kagurazaka, Shinjuku, Tokyo, 162-8601, Japan
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Wolniewicz L. Relativistic corrections to the energies of the EF, GK, and HH̄ 1Σg states of the hydrogen molecule. J Chem Phys 1998. [DOI: 10.1063/1.476852] [Citation(s) in RCA: 22] [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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James GK, Ajello JM, Pryor WR. The middle ultraviolet-visible spectrum of H2excited by electron impact. ACTA ACUST UNITED AC 1998. [DOI: 10.1029/97je03692] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Wolniewicz L. Nonadiabatic corrections to the lowest EF 1Σg and I 1Πg− vibrational levels of the hydrogen molecule. J Chem Phys 1996. [DOI: 10.1063/1.472877] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Sorokin PP, Glownia JH. Nonlinear spectroscopy in astronomy: assignement of diffuse interstellar absorption bands to L(α) -induced, two-photon absorption by H2 molecules. Chem Phys Lett 1995. [DOI: 10.1016/0009-2614(95)00099-p] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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