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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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2
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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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3
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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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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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5
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Turbiner AV, Lopez Vieyra JC. Ground state of the H3(+) molecular ion: physics behind. J Phys Chem A 2013; 117:10119-28. [PMID: 23581885 DOI: 10.1021/jp401439c] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Five physics mechanisms of interaction leading to the binding of the H3(+) molecular ion are identified. They are realized in a form of variational trial functions, and their respective total energies are calculated. Each of them provides subsequently the most accurate approximation for the Born–Oppenheimer (BO) ground state energy among (two–three–seven)-parametric trial functions being, correspondingly, H2-molecule plus proton (two variational parameters), H2(+)-ion plus H-atom (three variational parameters), and generalized Guillemin–Zener (seven variational parameters). These trial functions are chosen following a criterion of physical adequacy. They include the electronic correlation in the exponential form, exp(γr12), where γ is a variational parameter. Superpositions of two different mechanisms of binding are investigated, and a particular one, which is a generalized Guillemin–Zener plus H2-molecule plus proton (ten variational parameters), provides the total energy at the equilibrium of E = −1.3432 au. The superposition of three mechanisms, generalized Guillemin–Zener plus (H2-molecule plus proton) plus (H2(+)-ion plus H) (14 parameters) leads to the total energy, which deviates from the best known BO energy to 0.0004 au, it reproduces two–three significant digits in exact, non-BO total energy. In general, our variational energy agrees in two–three–four significant digits with the most accurate results available at present as well as major expectation values.
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Affiliation(s)
- A V Turbiner
- Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México , Apartado Postal 70-543, 04510 México, D.F., Mexico
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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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7
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Accurate bond dissociation energy of water determined by triple-resonance vibrational spectroscopy and ab initio calculations. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.03.007] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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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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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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10
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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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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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12
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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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Kylänpää I, Rantala TT. First-principles simulation of molecular dissociation–recombination equilibrium. J Chem Phys 2011; 135:104310. [DOI: 10.1063/1.3633516] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Affiliation(s)
- Pekka Pyykkö
- Department of Chemistry, University of Helsinki, POB 55 (A. I. Virtasen aukio 1), 00014 Helsinki, Finland
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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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16
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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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17
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Velilla L, Lepetit B, Aguado A, Beswick JA, Paniagua M. The H(3) (+) rovibrational spectrum revisited with a global electronic potential energy surface. J Chem Phys 2009; 129:084307. [PMID: 19044823 DOI: 10.1063/1.2973629] [Citation(s) in RCA: 79] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
In this paper, we have computed the rovibrational spectrum of the H(3) (+) molecule using a new global potential energy surface, invariant under all permutations of the nuclei, that includes the long range electrostatic interactions analytically. The energy levels are obtained by a variational calculation using hyperspherical coordinates. From the comparison with available experimental results for low lying levels, we conclude that our accuracy is of the order of 0.1 cm(-1) for states localized in the vicinity of equilateral triangular configurations of the nuclei, and changes to the order of 1 cm(-1) when the system is distorted away from equilateral configurations. Full rovibrational spectra up to the H(+)+H(2) dissociation energy limit have been computed. The statistical properties of this spectrum (nearest neighbor distribution and spectral rigidity) show the quantum signature of classical chaos and are consistent with random matrix theory. On the other hand, the correlation function, even when convoluted with a smoothing function, exhibits oscillations which are not described by random matrix theory. We discuss a possible similarity between these oscillations and the ones observed experimentally.
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Affiliation(s)
- Luis Velilla
- Departamento de Química Física, Facultad de Ciencias C-XIV, Universidad Autónoma de Madrid, 28049, Madrid, Spain
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Pavanello M, Adamowicz L. High-accuracy calculations of the ground, 1 A11′, and the 2 A11′, 2 A31′, and 1 E1′ excited states of H3+. J Chem Phys 2009; 130:034104. [DOI: 10.1063/1.3058634] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Mohallem JR. Semiempirical evaluation of post-Hartree–Fock diagonal-Born–Oppenheimer corrections for organic molecules. J Chem Phys 2008; 128:144113. [DOI: 10.1063/1.2902286] [Citation(s) in RCA: 8] [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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Amaran S, Kumar S. Elastic/inelastic and charge transfer collisions of H++H2 at collision energies of 4.67, 6, 7.3, and 10eV. J Chem Phys 2008; 128:064301. [DOI: 10.1063/1.2831505] [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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Saieswari A, Kumar S. Ab initio study of H++H2 collisions: Elastic/inelastic and charge transfer processes. Chem Phys Lett 2007. [DOI: 10.1016/j.cplett.2007.10.098] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Viegas LP, Alijah A, Varandas AJC. Accurate ab initio based multisheeted double many-body expansion potential energy surface for the three lowest electronic singlet states of H3+. J Chem Phys 2007; 126:074309. [PMID: 17328607 DOI: 10.1063/1.2566770] [Citation(s) in RCA: 64] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The authors present diabatic and adiabatic potential energy surfaces for the three lowest electronic singlet states of H3+. The modeling of the surfaces is based on the multi-sheeted double many-body expansion method which consists of dressing the various matrix elements of the diatomics-in-molecules potential matrix with three-body terms. The avoided crossing between the two lowest states and the conical intersection between the second and the third state are accurately represented by construction.
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Affiliation(s)
- Luís P Viegas
- Departamento de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
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Alijah A, Hinze J. Rotation-vibrational states of H3+ and the adiabatic approximation. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2006; 364:2877-88. [PMID: 17015396 DOI: 10.1098/rsta.2006.1860] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
We discuss recent progress in the calculation and identification of rotation-vibrational states of H3+ at intermediate energies up to 13,000 cm(-1). Our calculations are based on the potential energy surface of Cencek et al. which is of sub-microhartree accuracy. As this surface includes diagonal adiabatic and relativistic corrections to the fixed nuclei electronic energies, the remaining discrepancies between our calculated and experimental data should be due to the neglect of non-adiabatic coupling to excited electronic states in the calculations. To account for this, our calculated energy values were adjusted empirically by a simple correction formula. Based on our understanding of the adiabatic approximation, we suggest two new approaches to account for the off-diagonal adiabatic correction, which should work; however, they have not been tested yet for H3+. Theoretical predictions made for the above-barrier energy region of recent experimental interest are accurate to 0.35 cm(-1) or better.
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Affiliation(s)
- Alexander Alijah
- Departamento de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal.
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Oka T. Physics, chemistry and astronomy of H3+. Introductory remarks. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2006; 364:2847-53. [PMID: 17015387 DOI: 10.1098/rsta.2006.1870] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
The inspiring developments in astronomy, physics and chemistry of
since 2000, which led to this Royal Society Discussion Meeting, are reviewed.
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Affiliation(s)
- Takeshi Oka
- Department of Astronomy and Astrophysics, The Enrico Fermi Institute, The University of Chicago, Chicago, IL 60637, USA
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