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Clary DC. Spiers Memorial Lecture : Introductory lecture: quantum dynamics of chemical reactions. Faraday Discuss 2018; 212:9-32. [DOI: 10.1039/c8fd00131f] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
This Spiers Memorial Lecture discusses quantum effects that can be calculated and observed in the chemical reactions of small molecules.
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Affiliation(s)
- David C. Clary
- Physical and Theoretical Chemistry Laboratory
- Department of Chemistry
- University of Oxford
- Oxford
- UK
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Korolkov MV, Manz J, Schild A. Isotope effects of reactions in quantum solids initiated by IR + UV lasers: quantum model simulations for Cl((2)P(3/2)) + X(2)(ν) → XCl + X in X(2) matrices (X = H, D). J Phys Chem A 2010; 114:9795-808. [PMID: 20533845 DOI: 10.1021/jp102809p] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Six isotope effects (i)-(vi) are discovered for the reactions Cl + H(2)(ν) → HCl + H in solid para-H(2) ( 1 ) versus Cl + D(2)(ν) → DCl + D in ortho-D(2) ( 2 ), by means of quantum reaction dynamics simulations, within the frame of our simple model ( J. Phys. Chem. A 2009 , 113 , 7630 . ). Experimentally, the reactions may be initiated for ν = 0 and ν ≥ 1, by means of "UV only" photodissociation of the matrix-isolated precursor, Cl(2), or by "IR + UV" coirradiation ( Kettwich , S. C. , Raston , P. L. , and Anderson , D. T. J. Phys. Chem. A 2009 , 113 , 7621 . ), respectively. Specifically, (i) various shape and Feshbach reaction resonances correlate with vibrational thresholds of reactants and products, due to the near-thermoneutrality and low barrier of the system. The energetic density of resonances increases as the square root of mass, from M(X) = M(H) to M(D). (ii) The state selective reaction ( 1 ), ν = 1, is supported by a shape resonance, whereas this type of resonance is absent in ( 2 ), ν = 1. As a consequence, time-resolved measurements should monitor different three-step versus direct error-function type evolutions of the formation of the products. (iii) The effective barrier is lower for reaction 1 , ν = 0, enhancing the tunneling rate, as compared to that for reaction 2 , ν = 0. (iv) For reference, the reaction probabilities P versus total energy E(tot) in the gas exhibit sharp resonance peaks or zigzag behaviors of the reaction probability P versus total energy, near the levels of resonances ( Persky , A. and Baer , M. J. Chem. Phys . 1974 , 60 , 133 . ). These features tend to be washed out and broadened for reaction 1 , and even more so for reaction 2 . For comparison, they disappear for reactions in classical solids. (v) The slopes of P versus E(tot) below the potential barrier increase more steeply for reaction 1 , ν = 0, than for reaction 2 , ν = 0. This enhances the tunneling rate of the heavier isotopomer, reaction 2 , ν = 0, compared to that for reaction 1 . (vi) For a given value of the UV frequency, the translational energy E(trans) increases with mass M(X). Again, this effect supports tunneling of the heavier isotopomer. The isotope effects (i)-(iii), (iv)-(v), and (vi) may be classified as energetic, translational amplitude, and kinematic, respectively. Specifically, the effects (iv)-(v) are due to a systematic decrease of the amplitudes of translational motions of the reactant molecules, from quasi infinite in the gas via still rather large values of para-H(2)(ν) and smaller values for ortho-D(2)(ν) to very small values in classical solids. These isotope effects are special phenomena in quantum solids, which do not occur, neither in the gas phase nor in classical solids. Quantitative predictions, e.g., for the effects of increasing UV frequency on the ratio of reactions probabilities for the UV only versus IR + UV experiments, must account for the interplay of various isotope effects, e.g., (vi) combined with the antagonistic effects (iii) versus (iv) and (v).
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Affiliation(s)
- M V Korolkov
- Institut für Chemie und Biochemie, Freie Universität Berlin, Takustrasse 3, 14195 Berlin, Germany.
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Goussev A, Schubert R, Waalkens H, Wiggins S. The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions. J Chem Phys 2009; 131:144103. [DOI: 10.1063/1.3245402] [Citation(s) in RCA: 7] [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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Barnes GL, Squires SM, Sibert EL. Symmetric Double Proton Tunneling in Formic Acid Dimer: A Diabatic Basis Approach. J Phys Chem B 2007; 112:595-603. [DOI: 10.1021/jp075376e] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- George L. Barnes
- Department of Chemistry and Theoretical Chemistry Institute, University of WisconsinMadison, Madison, Wisconsin 53706
| | - Shane M. Squires
- Department of Chemistry and Theoretical Chemistry Institute, University of WisconsinMadison, Madison, Wisconsin 53706
| | - Edwin L. Sibert
- Department of Chemistry and Theoretical Chemistry Institute, University of WisconsinMadison, Madison, Wisconsin 53706
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Bondi D, Connor J, Manz J, Römelt J. Exact quantum and vibrationally adiabatic quantum, semiclassical and quasiclassical study of the collinear reactions Cl + MuCl, Cl + HCl, Cl + DCl. Mol Phys 2007. [DOI: 10.1080/00268978300102491] [Citation(s) in RCA: 111] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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On the use of a Born-Oppenheimer type separation in the treatment of the dynamics of molecular collisions. ACTA ACUST UNITED AC 1998. [DOI: 10.1016/s0166-1280(97)00239-x] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Kuppermann A. Reactive Scattering with Row-Orthonormal Hyperspherical Coordinates. 1. Transformation Properties and Hamiltonian for Triatomic Systems. ACTA ACUST UNITED AC 1996. [DOI: 10.1021/jp953195j] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Aron Kuppermann
- Arthur Amos Noyes Laboratory of Chemical Physics, Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125
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Charutz DM, Ron S, Eisenberg E, Baer M. Application of Toeplitz matrices to scattering processes. A NIP-Toeplitz approach to treating chemical reactions. Chem Phys Lett 1995. [DOI: 10.1016/0009-2614(95)00940-6] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Shapiro M, Reisler H. Generation of excited state potentials from photofragment spectral lines: Fano profiles in FNO. J Chem Phys 1995. [DOI: 10.1063/1.469599] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Brackhagen O, Kühn O, Manz J, May V, Meyer R. Coherent and dissipative wave packet dynamics in cyclic model systems with four equivalent potential minima. J Chem Phys 1994. [DOI: 10.1063/1.466705] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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On the role of π hydrogenic states in low energy IH (v=0)+I collisions. Converged state-to-state cross sections. Chem Phys 1994. [DOI: 10.1016/0301-0104(93)e0352-v] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Cohen MJ, Willetts A, Handy NC. Cumulative reaction probabilities for OH+H2→H2O+H and ClH+Cl→Cl+HCl from a knowledge of the anharmonic force field. J Chem Phys 1993. [DOI: 10.1063/1.465941] [Citation(s) in RCA: 19] [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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Wolniewicz L, Hinze J, Alijah A. Reactive collisions of atoms with diatomic molecules. J Chem Phys 1993. [DOI: 10.1063/1.465231] [Citation(s) in RCA: 13] [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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Mrugała F. The coupled equations problem of the quantum theory of atom-diatom reactive scattering. INT REV PHYS CHEM 1993. [DOI: 10.1080/01442359309353277] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Brown D, Light JC. Evaluation of thermal rate constants in the eigenbasis of a Hamiltonian with an optical potential. J Chem Phys 1992. [DOI: 10.1063/1.463805] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Metz RB, Neumark DM. Adiabatic three‐dimensional simulations of the IHI−, BrHI−, and BrHBr−photoelectron spectra. J Chem Phys 1992. [DOI: 10.1063/1.463199] [Citation(s) in RCA: 56] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Rom N, Moiseyev N, Lefebvre R. Thermal rate constants in collinear atom transfer reactions by optimizing the position of the reactants/products dividing surface. J Chem Phys 1992. [DOI: 10.1063/1.462334] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Clary DC. Quantum reactive scattering of four‐atom reactions with nonlinear geometry: OH+H2→H2O+H. J Chem Phys 1991. [DOI: 10.1063/1.461407] [Citation(s) in RCA: 168] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Henis Z, Eliezer S, Neuhauser D, Baer M. Quantum-mechanical treatment of muon-transfer process: A heavy-particle exchange approach. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 41:4791-4799. [PMID: 9903700 DOI: 10.1103/physreva.41.4791] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Manz J, Römelt J. Isotope effects of the collinear reactions F + HBr, F + DBr and F + MuBr. ACTA ACUST UNITED AC 1990. [DOI: 10.1039/ft9908601689] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Giménez X, Lucas J, Aguilar A. Hyperspherical study of the collinear C+HF→CH+F reaction. General dynamic behaviour. Chem Phys 1989. [DOI: 10.1016/0301-0104(89)80133-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Krause JL, Shapiro M. An exact coupled‐channel study of the transition state spectroscopy of the collinear H+H2reaction. J Chem Phys 1989. [DOI: 10.1063/1.456306] [Citation(s) in RCA: 4] [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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Cuccaro SA, Hipes PG, Kuppermann A. Symmetry analysis of accurate H+H2 resonances for low partial waves. Chem Phys Lett 1989. [DOI: 10.1016/0009-2614(89)87278-1] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Baer M. Arrangement channel approach to atom–diatom reactive systems: Theory and accurate three‐dimensional probabilities for the H+H2system. J Chem Phys 1989. [DOI: 10.1063/1.455907] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Mode Selective Bimolecular Reactions. ACTA ACUST UNITED AC 1989. [DOI: 10.1007/978-94-009-2853-4_15] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Kaye JA, Kuppermann A. Mass effect in quantum mechanical collision-induced dissociation in collinear reactive atom-diatomic molecule collisions. Chem Phys 1988. [DOI: 10.1016/0301-0104(88)87082-4] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Bisseling RH, Gertitschke PL, Kosloff R, Manz J. Bi‐ and unimolecular resonances of the collinear reaction F+DBr⇄FDBr⇄FD+Br. J Chem Phys 1988. [DOI: 10.1063/1.454750] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Engel V, Schinke R, Staemmler V. Photodissociation dynamics of H2O and D2O in the first absorption band: A complete ab initio treatment. J Chem Phys 1988. [DOI: 10.1063/1.454645] [Citation(s) in RCA: 144] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Mrugala F, Römelt J. A generalized log-derivative method for the treatment of asymmetric collinear reactions in hyperspherical coordinates. Chem Phys 1987. [DOI: 10.1016/0301-0104(87)87046-5] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Engel V, Schinke R, Pollak E. A collinear quantal study of vibrational predissociation and prereaction of van der Waals molecules. J Chem Phys 1987. [DOI: 10.1063/1.453219] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Gertitschke PL, Kiprof P, Manz J. A dynamical ‘‘white spot’’ on the potential energy surface: The close interaction region of the collinear hydrogen transfer reaction F+DBr→FD+Br. J Chem Phys 1987. [DOI: 10.1063/1.453249] [Citation(s) in RCA: 19] [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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Grice ME, Andrews BK, Chesnavich WJ. A threshold study of the classical dynamics of collision‐induced dissociation in collinear H+H2. J Chem Phys 1987. [DOI: 10.1063/1.453251] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Joseph T, Kruel TM, Manz J, Rexrodt I. Model calculation of local versus hyperspherical mode selective dissociation of H2O. Chem Phys 1987. [DOI: 10.1016/0301-0104(87)80150-7] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Bisseling RH, Kosloff R, Manz J, Mrugal/a F, Römelt J, Weichselbaumer G. Lifetimes of local and hyperspherical vibrational resonances of ABA molecules. J Chem Phys 1987. [DOI: 10.1063/1.452754] [Citation(s) in RCA: 49] [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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Zhang ZH, Kouri DJ. Wave-packet solution to the time-dependent arrangement-channel quantum-mechanics equations. PHYSICAL REVIEW. A, GENERAL PHYSICS 1986; 34:2687-2696. [PMID: 9897583 DOI: 10.1103/physreva.34.2687] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Engel V, Schinke R, Staemmler V. An ab initio calculation of the absorption cross section of water in the first absorption continuum. Chem Phys Lett 1986. [DOI: 10.1016/0009-2614(86)80496-1] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Gibson LL, Roth RM, Ratner MA, Gerber RB. The semiclassical self‐consistent field method for polyatomic vibrations: Use of hyperspherical coordinates for H2O and CO2. J Chem Phys 1986. [DOI: 10.1063/1.450964] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Wolniewicz L, Hinze J. Atom–diatomic molecular reactive scattering: Investigation of the hyperangular integration. J Chem Phys 1986. [DOI: 10.1063/1.451145] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lepetit B, Launay J, Le Dourneuf M. Quantum study of electronically non-adiabatic collinear reactions. I. Hyperspherical description of the electronuclear dynamics. Chem Phys 1986. [DOI: 10.1016/0301-0104(86)87042-2] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Lepetit B, Launay J, Le Dourneuf M. Quantum study of electronically non-adiabatic collinear reactions. II. Influence of spin-orbit transitions on the F + HH reaction. Chem Phys 1986. [DOI: 10.1016/0301-0104(86)87043-4] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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