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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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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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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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Lötstedt E, Kato T, Yamanouchi K. Classical dynamics of laser-driven D₃⁺. PHYSICAL REVIEW LETTERS 2011; 106:203001. [PMID: 21668225 DOI: 10.1103/physrevlett.106.203001] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/30/2011] [Indexed: 05/30/2023]
Abstract
A classical model of the triatomic D₃⁺ molecule subjected to an intense, few-cycle laser pulse is introduced. The model is capable of describing the laser-induced correlated motion of both electrons and nuclei in three dimensions, and allows us to follow the motion of the two electrons and three deuterons from the initial field-free state, during the pulse, and until the bond breaking into the final fragments. By averaging over many trajectories, we calculate the relative yields of the ionization and dissociation channels, as well as the kinetic energy release (KER) from the fragment ions. A comparison with recent experimental KER spectra shows good qualitative agreement. In addition, we find a pathway in which an emitted electron recombines into a high-lying Rydberg state, resulting in D + D⁺ + D⁺ fragments with the same KER as in the D⁺ + D⁺ + D⁺ channel.
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Affiliation(s)
- Erik Lötstedt
- Department of Chemistry, School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.
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Merging two traditional methods: the Hartree–Fock and the Heitler–London and adding density functional correlation corrections. Theor Chem Acc 2007. [DOI: 10.1007/s00214-007-0336-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Kutzelnigg W, Jaquet R. Explicitly correlated potential energy surface of H3+, including relativistic and adiabatic corrections. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2006; 364:2855-74; discussion 2874-6. [PMID: 17015373 DOI: 10.1098/rsta.2006.1871] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
After a short historical account of the theory of the H3+ ion, two ab initio methods are reviewed that allow the computation of the ground-state potential energy surface (PES) of H3+ in the Born-Oppenheimer (BO) approximation, with microhartree or even sub-microhartree accuracy, namely the R12 method and the method of explicitly correlated Gaussians. The BO-PES is improved by the inclusion of relativistic effects and adiabatic corrections. It is discussed how non-adiabatic effects on rotation and vibration can be simulated by corrections to the moving nuclear masses. The importance of the appropriate analytic fit to the computed points of the PES for the subsequent computation of the rovibronic spectrum is addressed. Some recent extensions of the computed PES in the energy region above the barrier to linearity are reviewed. This involves a large set of input geometries and the correct treatment of the dissociation asymptotics, including the coupling with the first excited singlet state. Some comments on this state as well as on the lowest triplet state of H3+ are made. The paper ends with a few remarks on the ion H5+.
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Affiliation(s)
- Werner Kutzelnigg
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44780 Bochum, Germany.
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Boese AD, Doltsinis NL, Handy NC, Sprik M. New generalized gradient approximation functionals. J Chem Phys 2000. [DOI: 10.1063/1.480732] [Citation(s) in RCA: 306] [Impact Index Per Article: 12.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kutzelnigg W, von Herigonte P. Electron correlation at the dawn of the 21st century. ADVANCES IN QUANTUM CHEMISTRY 2000. [DOI: 10.1016/s0065-3276(08)60484-0] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
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Prudente FV, Acioli PH, Neto JJS. The fitting of potential energy surfaces using neural networks: Application to the study of vibrational levels of H3+. J Chem Phys 1998. [DOI: 10.1063/1.477550] [Citation(s) in RCA: 97] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Banyard KE, Sanders J. Momentum studies of electron correlation in the ground state of the H3+ molecule ion. J Chem Phys 1998. [DOI: 10.1063/1.476020] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Benchmark calculations for two-electron systems using explicitly correlated Gaussian functions. Chem Phys Lett 1995. [DOI: 10.1016/0009-2614(95)01146-8] [Citation(s) in RCA: 90] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Ichihara A, Yokoyama K. Ab initiopotential energy surfaces for the two lowest1A′ states of H+3. J Chem Phys 1995. [DOI: 10.1063/1.469686] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023] Open
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Klopper W. Limiting values for Mo/ller–Plesset second‐order correlation energies of polyatomic systems: A benchmark study on Ne, HF, H2O, N2, and He...He. J Chem Phys 1995. [DOI: 10.1063/1.469351] [Citation(s) in RCA: 140] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Galvan DH, Abu‐Jafar M, Sanders FC. Multiperturbation approach to potential energy surfaces for polyatomic molecules. J Chem Phys 1995. [DOI: 10.1063/1.469540] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wolniewicz L, Hinze J. Rotation–vibrational states of H+3 computed using hyperspherical coordinates and harmonics. J Chem Phys 1994. [DOI: 10.1063/1.467947] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
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Rychlewski J, Cencek W, Komasa J. The equivalence of explicitly correlated Slater and Gaussian functions in variational quantum chemistry computations. Chem Phys Lett 1994. [DOI: 10.1016/0009-2614(94)01108-7] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Banyard KE, Sanders J. The H +3molecule ion: A two‐particle density study of electron correlation. J Chem Phys 1994. [DOI: 10.1063/1.467622] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Röhse R, Kutzelnigg W, Jaquet R, Klopper W. Potential energy surface of the H+3 ground state in the neighborhood of the minimum with microhartree accuracy and vibrational frequencies derived from it. J Chem Phys 1994. [DOI: 10.1063/1.467663] [Citation(s) in RCA: 112] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
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Tennyson J, Polyansky OL. Non-Born-Oppenheimer correction to the H3+ potential from experimental data. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:314-316. [PMID: 9910895 DOI: 10.1103/physreva.50.314] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Röhse R, Klopper W, Kutzelnigg W. Configuration interaction calculations with terms linear in the interelectronic coordinate for the ground state of H+3. A benchmark study. J Chem Phys 1993. [DOI: 10.1063/1.465551] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Bruan P, Mitrushenkov A, Rebane T. Vibrational magnetism of highly symmetric molecules: the molecular ion H+3. Chem Phys 1993. [DOI: 10.1016/0301-0104(93)80218-x] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Alexander SA, Coldwell RL, Morgan JD. Guiding‐function optimization in biased‐selection Monte Carlo calculations. J Chem Phys 1992. [DOI: 10.1063/1.463410] [Citation(s) in RCA: 30] [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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Lie GC, Frye D. Vibrational analysis of a Hylleraas‐configuration interaction potential for H+3. J Chem Phys 1992. [DOI: 10.1063/1.462567] [Citation(s) in RCA: 57] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Alexander SA, Coldwell RL, Monkhorst HJ, Morgan JD. Monte Carlo eigenvalue and variance estimates from several functional optimizations. J Chem Phys 1991. [DOI: 10.1063/1.461532] [Citation(s) in RCA: 49] [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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Cencek W, Komasa J, Rychlewski J. Configuration interaction and Hylleraas configuration interaction methods in valence bond theory. Diatomic two‐electron systems. J Chem Phys 1991. [DOI: 10.1063/1.460962] [Citation(s) in RCA: 16] [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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Frye D, Preiskorn A, Clementi E. The Hylleraas-CI method in molecular calculations. III. Implementation and numerical verification of a three-electron many-center theory. J Comput Chem 1991. [DOI: 10.1002/jcc.540120505] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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Preiskorn A, Frye D, Clementi E. Gaussian functions in Hylleraas‐configuration‐interaction calculations. VI. The first excited state of H+3. J Chem Phys 1991. [DOI: 10.1063/1.460202] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Banyard KE, Sanders J. Fluctuation potentials for intrashell electron pairs in some He‐ and Be‐like systems. J Chem Phys 1991. [DOI: 10.1063/1.460424] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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