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Dash SR, Das T, Vanka K. Insights Into Chemical Reactions at the Beginning of the Universe: From HeH + to H 3. Front Chem 2021; 9:679750. [PMID: 34222195 PMCID: PMC8249737 DOI: 10.3389/fchem.2021.679750] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2021] [Accepted: 06/07/2021] [Indexed: 11/23/2022] Open
Abstract
At the dawn of the Universe, the ions of the light elements produced in the Big Bang nucleosynthesis recombined with each other. In our present study, we have tried to mimic the conditions in the early Universe to show how the recombination process would have led to the formation of the first ever formed diatomic species of the Universe: HeH+, as well as the subsequent processes that would have led to the formation of the simplest triatomic species: H3 +. We have also studied some special cases: higher positive charge with fewer number of hydrogen atoms in a dense atmosphere, and the formation of unusual and interesting linear, dicationic He chains beginning from light elements He and H in a positively charged atmosphere. For all the simulations, the ab initio nanoreactor (AINR) dynamics method has been employed.
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Affiliation(s)
- Soumya Ranjan Dash
- Physical and Materials Chemistry Division, CSIR-National Chemical Laboratory (CSIR-NCL), Pune, India
| | - Tamal Das
- Physical and Materials Chemistry Division, CSIR-National Chemical Laboratory (CSIR-NCL), Pune, India
- Academy of Scientific and Innovative Research (AcSIR), Ghaziabad, India
| | - Kumar Vanka
- Physical and Materials Chemistry Division, CSIR-National Chemical Laboratory (CSIR-NCL), Pune, India
- Academy of Scientific and Innovative Research (AcSIR), Ghaziabad, India
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2
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Sanz-Sanz C, Aguado A, Roncero O. Near-resonant effects in the quantum dynamics of the H + H 2 + → H 2 + H + charge transfer reaction and isotopic variants. J Chem Phys 2021; 154:104104. [PMID: 33722048 DOI: 10.1063/5.0044320] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The non-adiabatic quantum dynamics of the H + H2 + → H2 + H+ charge transfer reactions, and some isotopic variants, is studied with an accurate wave packet method. A recently developed 3 × 3 diabatic potential model is used, which is based on very accurate ab initio calculations and includes the long-range interactions for ground and excited states. It is found that for initial H2 +(v = 0), the quasi-degenerate H2(v' = 4) non-reactive charge transfer product is enhanced, producing an increase in the reaction probability and cross section. It becomes the dominant channel from collision energies above 0.2 eV, producing a ratio between v' = 4 and the rest of v's, which that increase up to 1 eV. The H + H2 + → H2 + + H exchange reaction channel is nearly negligible, while the reactive and non-reactive charge transfer reaction channels are of the same order, except that corresponding to H2(v' = 4), and the two charge transfer processes compete below 0.2 eV. This enhancement is expected to play an important vibrational and isotopic effect that needs to be evaluated. For the three proton case, the problem of the permutation symmetry is discussed when using reactant Jacobi coordinates.
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Affiliation(s)
- Cristina Sanz-Sanz
- Unidad Asociada UAM-CSIC, Departamento de Química Física Aplicada, Facultad de Ciencias M-14, Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - Alfredo Aguado
- Unidad Asociada UAM-CSIC, Departamento de Química Física Aplicada, Facultad de Ciencias M-14, Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - Octavio Roncero
- Instituto de Física Fundamental (IFF-CSIC), C.S.I.C., Serrano 123, 28006 Madrid, Spain
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3
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Jaquet R, Lesiuk M. Analysis of QED and non-adiabaticity effects on the rovibrational spectrum of H 3 + using geometry-dependent effective nuclear masses. J Chem Phys 2020; 152:104109. [PMID: 32171219 DOI: 10.1063/1.5144293] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The influence of QED effects (including one- and two-electron Lamb-shift, Araki-Sucher term, one-loop self-energy, and finite nuclear size correction) together with non-adiabatic effects on the rovibrational bound states of H3 + has been investigated. Non-adiabaticity is modeled by using geometry-dependent effective nuclear masses together with only one single potential energy surface. In conclusion, for rovibrational states below 20 000 cm-1, QED and relativistic effects do nearly compensate, and a potential energy surface based on Born-Oppenheimer energies and diagonal adiabatic corrections has nearly the same quality as the one including relativity with QED; the deviations between the two approaches for individual rovibrational states are mostly below 0.02 cm-1. The inclusion of non-adiabatic effects is important, and it reduces deviations from experiments mostly below 0.1 cm-1.
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Affiliation(s)
- Ralph Jaquet
- Theoretical Chemistry, Siegen University, Siegen, Germany
| | - Michal Lesiuk
- Faculty of Chemistry, University of Warsaw, Warsaw, Poland
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4
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Amaral PHR, Stanke M, Adamowicz L, Diniz LG, Mohallem JR, Alijah A. Non-adiabatic effects in the H 3+ spectrum. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2019; 377:20180411. [PMID: 31378173 PMCID: PMC6710893 DOI: 10.1098/rsta.2018.0411] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 04/03/2019] [Indexed: 06/10/2023]
Abstract
The effect of non-adiabatic coupling on the computed rovibrational energy levels amounts to about 2 cm-1 for H3+ and must be included in high-accuracy calculations. Different strategies to obtain the corresponding energy shifts are reviewed in the article. A promising way is to introduce effective vibrational reduced masses that depend on the nuclear configuration. A new empirical method that uses the stockholder atoms-in-molecules approach to this effect is presented and applied to H3+. Furthermore, a highly accurate potential energy surface for the D3+ isotopologue, which includes relativistic and leading quantum electrodynamic terms, is constructed and used to analyse the observed rovibrational frequencies for this molecule. Accurate band origins are obtained that improve existing data. This article is part of a discussion meeting issue 'Advances in hydrogen molecular ions: H3+, H5+ and beyond'.
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Affiliation(s)
- Paulo H. R. Amaral
- Department of Physics, Federal University of Minas Gerais, PO Box 702, 30123-970 Belo Horizonte, Minas Gerais, Brazil
| | - Monika Stanke
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, ul. Grudzia̧dzka 5, Toruń 87-100, Poland
| | - Ludwik Adamowicz
- Department of Chemistry and Biochemistry, The University of Arizona, Tucson, AZ 85721, USA
| | | | - José R. Mohallem
- Department of Physics, Federal University of Minas Gerais, PO Box 702, 30123-970 Belo Horizonte, Minas Gerais, Brazil
| | - Alexander Alijah
- Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR CNRS 7331, University of Reims Champagne-Ardenne, 51687 Reims Cedex 2, France
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5
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Mizus II, Polyansky OL, McKemmish LK, Tennyson J, Alijah A, Zobov NF. A global potential energy surface for H3+. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1554195] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Irina I. Mizus
- Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia
| | - Oleg L. Polyansky
- Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia
- Department of Physics and Astronomy, University College London, London, UK
| | - Laura K. McKemmish
- Department of Physics and Astronomy, University College London, London, UK
- Department of Chemistry, University of New South Wales, Sydney, Australia
| | - Jonathan Tennyson
- Department of Physics and Astronomy, University College London, London, UK
| | - Alexander Alijah
- Groupe de Spectrométrie Moléculaire et Atmosphérique, GSMA, UMR CNRS 7331, Université de Reims Champagne-Ardenne, Reims, France
| | - Nikolai F. Zobov
- Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia
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6
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Jaquet R, Khoma MV. Investigation of non-adiabatic effects for the ro-vibrational spectrum of H3+: the use of a single potential energy surface with geometry-dependent nuclear masses. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1464225] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Ralph Jaquet
- Theoretische Chemie, Universität Siegen , Siegen, Germany
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7
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Jaquet R, Khoma MV. Investigation of Nonadiabatic Effects for the Vibrational Spectrum of a Triatomic Molecule: The Use of a Single Potential Energy Surface with Distance-Dependent Masses for H 3. J Phys Chem A 2017; 121:7016-7030. [PMID: 28820589 DOI: 10.1021/acs.jpca.7b04703] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
On the basis of first-principles, the influence of nonadiabatic effects on the vibrational bound states of H3+ has been investigated using distance-dependent reduced masses and only one single potential energy surface. For these new vibrational calculations, potentials based on explicitly correlated wave functions are used where, in addition, adiabatic corrections and relativistic contributions are taken into account. For the first time, several different fully distance-dependent reduced mass surfaces in three dimensions have been incorporated in the vibrational calculations.
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Affiliation(s)
- Ralph Jaquet
- Theoretische Chemie, Universität Siegen , D-57068 Siegen, Germany
| | - Mykhaylo V Khoma
- Theoretische Chemie, Universität Siegen , D-57068 Siegen, Germany
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8
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Lara M, Jambrina PG, Aoiz FJ, Launay JM. Cold and ultracold dynamics of the barrierless D+ + H2 reaction: Quantum reactive calculations for ∼R−4 long range interaction potentials. J Chem Phys 2015; 143:204305. [DOI: 10.1063/1.4936144] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Manuel Lara
- Departamento de Química Física Aplicada, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain
| | - P. G. Jambrina
- Departamento de Química Física, Facultad de Química, Universidad Complutense, 28040 Madrid, Spain
| | - F. J. Aoiz
- Departamento de Química Física, Facultad de Química, Universidad Complutense, 28040 Madrid, Spain
| | - J.-M. Launay
- Institut de Physique de Rennes, UMR CNRS 6251, Université de Rennes I, F-35042 Rennes, France
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Glushkov V, Wilson S. On the Coulson–Fischer wave function for the X1A′ H +3molecular ion: parametrisation using distributed Gaussian basis sets. Mol Phys 2014. [DOI: 10.1080/00268976.2013.812256] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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10
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Yu S, Su S, Dai D, Yuan K, Yang X. State-to-state dynamics of the H*(n) + HD → D*(n′) + H2 reactive scattering. J Chem Phys 2014; 140:034310. [DOI: 10.1063/1.4861759] [Citation(s) in RCA: 6] [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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11
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Jaquet R. Investigation of the highest bound ro-vibrational states of H+3, DH+2, HD+2, D+3, and T+3: use of a non-direct product basis to compute the highest allowedJ> 0 states. Mol Phys 2013. [DOI: 10.1080/00268976.2013.818727] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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12
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Jaquet R, Carrington T. Using a Nondirect Product Basis to Compute J > 0 Rovibrational States of H3+. J Phys Chem A 2013; 117:9493-500. [DOI: 10.1021/jp312027s] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ralph Jaquet
- Theoretische Chemie, Universität Siegen, D-57068 Siegen, Germany
| | - Tucker Carrington
- Chemistry Department, Queens’s University, Kingston, Ontario, K7L
3N6, Canada
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13
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Affiliation(s)
- Héctor Medel Cobaxin
- Groupe de Spectrométrie Moléculaire
et
Atmosphérique (UMR CNRS 7331), U.F.R. Sciences Exactes et Naturelles, University of Reims Champagne-Ardenne, Moulin de la
Housse B.P. 1039, F-51687 Reims Cedex 2, France
| | - Alexander Alijah
- Groupe de Spectrométrie Moléculaire
et
Atmosphérique (UMR CNRS 7331), U.F.R. Sciences Exactes et Naturelles, University of Reims Champagne-Ardenne, Moulin de la
Housse B.P. 1039, F-51687 Reims Cedex 2, France
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14
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Polyansky OL, Alijah A, Zobov NF, Mizus II, Ovsyannikov RI, Tennyson J, Lodi L, Szidarovszky T, Császár AG. Spectroscopy of H3+ based on a new high-accuracy global potential energy surface. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2012; 370:5014-5027. [PMID: 23028150 DOI: 10.1098/rsta.2012.0014] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The molecular ion H(3)(+) is the simplest polyatomic and poly-electronic molecular system, and its spectrum constitutes an important benchmark for which precise answers can be obtained ab initio from the equations of quantum mechanics. Significant progress in the computation of the ro-vibrational spectrum of H(3)(+) is discussed. A new, global potential energy surface (PES) based on ab initio points computed with an average accuracy of 0.01 cm(-1) relative to the non-relativistic limit has recently been constructed. An analytical representation of these points is provided, exhibiting a standard deviation of 0.097 cm(-1). Problems with earlier fits are discussed. The new PES is used for the computation of transition frequencies. Recently measured lines at visible wavelengths combined with previously determined infrared ro-vibrational data show that an accuracy of the order of 0.1 cm(-1) is achieved by these computations. In order to achieve this degree of accuracy, relativistic, adiabatic and non-adiabatic effects must be properly accounted for. The accuracy of these calculations facilitates the reassignment of some measured lines, further reducing the standard deviation between experiment and theory.
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Affiliation(s)
- Oleg L Polyansky
- Institute of Applied Physics, Russian Academy of Sciences, Ulyanov Street 46, Nizhny Novgorod 603950, Russia.
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15
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Adamowicz L, Pavanello M. Progress in calculating the potential energy surface of H3+. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2012; 370:5001-5013. [PMID: 23028149 DOI: 10.1098/rsta.2012.0101] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The most accurate electronic structure calculations are performed using wave function expansions in terms of basis functions explicitly dependent on the inter-electron distances. In our recent work, we use such basis functions to calculate a highly accurate potential energy surface (PES) for the H(3)(+) ion. The functions are explicitly correlated Gaussians, which include inter-electron distances in the exponent. Key to obtaining the high accuracy in the calculations has been the use of the analytical energy gradient determined with respect to the Gaussian exponential parameters in the minimization of the Rayleigh-Ritz variational energy functional. The effective elimination of linear dependences between the basis functions and the automatic adjustment of the positions of the Gaussian centres to the changing molecular geometry of the system are the keys to the success of the computational procedure. After adiabatic and relativistic corrections are added to the PES and with an effective accounting of the non-adiabatic effects in the calculation of the rotational/vibrational states, the experimental H(3)(+) rovibrational spectrum is reproduced at the 0.1 cm(-1) accuracy level up to 16,600 cm(-1) above the ground state.
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Affiliation(s)
- Ludwik Adamowicz
- Department of Chemistry, University of Arizona, Tucson, AZ 85721, USA
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16
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Pavanello M, Adamowicz L, Alijah A, Zobov NF, Mizus II, Polyansky OL, Tennyson J, Szidarovszky T, Császár AG. Calibration-quality adiabatic potential energy surfaces for H3+ and its isotopologues. J Chem Phys 2012; 136:184303. [DOI: 10.1063/1.4711756] [Citation(s) in RCA: 68] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Jaquet R, Khoma MV. Nonadiabatic investigations of ro-vibrational frequencies within the systems , H2, and prospects for : use of distance-dependent effective masses. Mol Phys 2012. [DOI: 10.1080/00268976.2012.671969] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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18
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Jaquet R, Khoma MV. A systematic investigation of the ground state potential energy surface of H3+. J Chem Phys 2012; 136:154307. [PMID: 22519326 DOI: 10.1063/1.4704123] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Based on different ab initio electronic structure calculations (CI-R12 and Gaussian Geminals) of the Born-Oppenheimer electronic energy E(BO) of H(3)(+) from high to highest quality, we build up a potential energy surface which represents a highly reliable form of the topology of the whole potential region, locally and globally. We use the CI-R12 method in order to get within reasonable CPU-time a relatively dense grid of energy points. We demonstrate that CI-R12 is good enough to give an accurate surface, i.e., Gaussian Geminals are not absolutely necessary. For different types of potential energy surface fits, we performed variational calculations of all bound vibrational states, including resonances above the dissociation limit, for total angular momentum J = 0. We clarify the differences between different fits of the energy to various functional forms of the potential surface. Small rms-values (<1 cm(-1)) of the fit do not provide precise information about the interpolatory behaviour of the fit functions.
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Affiliation(s)
- Ralph Jaquet
- Theoretische Chemie, Universität Siegen, D-57068 Siegen, Germany.
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Pavanello M, Adamowicz L, Alijah A, Zobov NF, Mizus II, Polyansky OL, Tennyson J, Szidarovszky T, Császár AG, Berg M, Petrignani A, Wolf A. Precision measurements and computations of transition energies in rotationally cold triatomic hydrogen ions up to the midvisible spectral range. PHYSICAL REVIEW LETTERS 2012; 108:023002. [PMID: 22324677 DOI: 10.1103/physrevlett.108.023002] [Citation(s) in RCA: 46] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2011] [Indexed: 05/22/2023]
Abstract
First-principles computations and experimental measurements of transition energies are carried out for vibrational overtone lines of the triatomic hydrogen ion H(3)(+) corresponding to floppy vibrations high above the barrier to linearity. Action spectroscopy is improved to detect extremely weak visible-light spectral lines on cold trapped H(3)(+) ions. A highly accurate potential surface is obtained from variational calculations using explicitly correlated Gaussian wave function expansions. After nonadiabatic corrections, the floppy H(3)(+) vibrational spectrum is reproduced at the 0.1 cm(-1) level up to 16600 cm(-1).
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Affiliation(s)
- Michele Pavanello
- Department of Chemistry and Biochemistry, The University of Arizona, Tucson, Arizona 85721, USA.
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Jambrina PG, Alvariño JM, Gerlich D, Hankel M, Herrero VJ, Sáez-Rábanos V, Aoiz FJ. Dynamics of the D+ + H2 and H+ + D2 reactions: a detailed comparison between theory and experiment. Phys Chem Chem Phys 2012; 14:3346-59. [DOI: 10.1039/c2cp23479c] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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21
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Hättig C, Klopper W, Köhn A, Tew DP. Explicitly Correlated Electrons in Molecules. Chem Rev 2011; 112:4-74. [DOI: 10.1021/cr200168z] [Citation(s) in RCA: 401] [Impact Index Per Article: 30.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Christof Hättig
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
| | - Wim Klopper
- Abteilung für Theoretische Chemie, Institut für Physikalische Chemie, Karlsruher Institut für Technologie, KIT-Campus Süd, Postfach 6980, D-76049 Karlsruhe, Germany
| | - Andreas Köhn
- Institut für Physikalische Chemie, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - David P. Tew
- School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
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Tung WC, Pavanello M, Adamowicz L. Accurate one-dimensional potential energy curve of the linear (H2)2 cluster. J Chem Phys 2010; 133:124106. [DOI: 10.1063/1.3491029] [Citation(s) in RCA: 18] [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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23
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Kylänpää I, Rantala TT. Finite temperature quantum statistics of H3+ molecular ion. J Chem Phys 2010; 133:044312. [DOI: 10.1063/1.3464758] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
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24
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An empirical formula to estimate off-diagonal adiabatic corrections to rotation–vibrational energy levels. Theor Chem Acc 2009. [DOI: 10.1007/s00214-009-0710-1] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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25
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Spectroscopy of H 3 + with energies above the barrier to linearity: rovibrational transitions in the range of 10,000–14,000 cm−1. Theor Chem Acc 2009. [DOI: 10.1007/s00214-009-0711-0] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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