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Ghaderi N, Marcus RA. Bimolecular Recombination Reactions: K-Adiabatic and K-Active Forms of RRKM Theory, Nonstatistical Aspects, Low-Pressure Rates, and Time-Dependent Survival Probabilities with Application to Ozone. 2. J Phys Chem A 2014; 118:10166-78. [DOI: 10.1021/jp506788z] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Nima Ghaderi
- Noyes Laboratory
of Chemical
Physics, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, United States
| | - R. A. Marcus
- Noyes Laboratory
of Chemical
Physics, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, United States
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2
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Historical perspective on: RRKM reaction rate theory for transition states of any looseness [Volume 110, Issue 3, 28 September 1984, Pages 230–234]. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.08.041] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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3
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Reinisch G, Miki K, Vignoles GL, Wong BM, Simmons CS. An Efficient and Accurate Formalism for the Treatment of Large Amplitude Intramolecular Motion. J Chem Theory Comput 2012; 8:2713-2724. [PMID: 22904694 PMCID: PMC3419465 DOI: 10.1021/ct300278x] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/04/2012] [Indexed: 11/29/2022]
Abstract
We propose a general approach to describe large amplitude
motions
(LAM) with multiple degrees of freedom (DOF) in molecules or reaction
intermediates, which is useful for the computation of thermochemical
or kinetic data. The kinetic part of the LAM Lagrangian is derived
using a Z-matrix internal coordinate representation
within a new numerical procedure. This derivation is exact for a classical
system, and the uncertainties on the prediction of observable quantities
largely arise from uncertainties on the LAM potential energy surface
(PES) itself. In order to rigorously account for these uncertainties,
we present an approach based on Bayesian theory to infer a parametrized
physical model of the PES using ab initio calculations. This framework
allows for quantification of uncertainties associated with a PES model
as well as the forward propagation of these uncertainties to the quantity
of interest. A selection and generalization of some treatments accounting
for the coupling of the LAM with other internal or external DOF are
also presented. Finally, we discuss and validate the approach with
two applications: the calculation of the partition function of 1,3-butadiene
and the calculation of the high-pressure reaction rate of the CH3 + H → CH4 recombination.
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Ghaderi N, Marcus RA. Bimolecular Recombination Reactions: Low Pressure Rates in Terms of Time-Dependent Survival Probabilities, Total J Phase Space Sampling of Trajectories, and Comparison with RRKM Theory. J Phys Chem B 2011; 115:5625-33. [DOI: 10.1021/jp111833m] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Affiliation(s)
- N. Ghaderi
- Noyes Laboratory of Chemical Physics, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, United States
| | - R. A. Marcus
- Noyes Laboratory of Chemical Physics, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, United States
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5
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Fernandez-Ramos A, Miller JA, Klippenstein SJ, Truhlar DG. Modeling the kinetics of bimolecular reactions. Chem Rev 2007; 106:4518-84. [PMID: 17091928 DOI: 10.1021/cr050205w] [Citation(s) in RCA: 393] [Impact Index Per Article: 23.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Antonio Fernandez-Ramos
- Departamento de Quimica Fisica, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
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6
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Harding LB, Georgievskii Y, Klippenstein SJ. Predictive Theory for Hydrogen Atom−Hydrocarbon Radical Association Kinetics. J Phys Chem A 2005; 109:4646-56. [PMID: 16833805 DOI: 10.1021/jp0508608] [Citation(s) in RCA: 157] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Procedures for accurately predicting the kinetics of hydrogen atom associations with hydrocarbon radicals are described and applied to a series of reactions. The approach is based on CASPT2/cc-pvdz evaluations of the orientation-dependent interaction energies within variable reaction coordinate transition state theory. One-dimensional corrections to the interaction energies are estimated from CAS+1+2/aug-cc-pvtz evaluations for the H + CH3 reaction, and a dynamical correction factor of 0.9 is applied. This corrected CASPT2 approach yields results that are within 10% of those obtained with the full CAS+1+2/aug-cc-pvtz potential for the H + CH3, H + C2H5, H + C2H3, and H + C2H reactions. New predictions are made for the H + iso-C3H7, H + tert-C4H9, H + C6H5, and H + C10H7 reactions. For the H + CH3 and H + C2H3 reactions, where the experimental values appear to be the most well-determined, theory and experiment essentially agree to within their error bars. For the other reactions, the agreement is reasonably satisfactory given the often large dispersion in the experimental results. For the reactions with saturated alkyl radicals, the theory predicts that each additional CH3 group increases the steric factor by approximately a factor of 2. In contrast, for the unsaturated radicals, the H + C6H5 and H + C10H7 high-pressure association rate coefficients are nearly identical to that for H + C2H3.
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Affiliation(s)
- Lawrence B Harding
- Chemistry Division, Argonne National Laboratory, Argonne, Illinois 60439, USA.
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Georgievskii Y, Klippenstein SJ. Transition State Theory for Multichannel Addition Reactions: Multifaceted Dividing Surfaces. J Phys Chem A 2003. [DOI: 10.1021/jp034564b] [Citation(s) in RCA: 126] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Yuri Georgievskii
- Combustion Research Facility, Sandia National Laboratories, Livermore, California 94551-0969
| | - Stephen J. Klippenstein
- Combustion Research Facility, Sandia National Laboratories, Livermore, California 94551-0969
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Cole JP, Balint-Kurti GG. A statistical,ab initio, quantum mechanical study of the photolysis and final state distributions of singlet ketene. J Chem Phys 2003. [DOI: 10.1063/1.1601603] [Citation(s) in RCA: 12] [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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9
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Georgievskii Y, Klippenstein SJ. Variable reaction coordinate transition state theory: Analytic results and application to the C2H3+H→C2H4 reaction. J Chem Phys 2003. [DOI: 10.1063/1.1539035] [Citation(s) in RCA: 116] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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10
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RRKM Theory and Its Implementation. ACTA ACUST UNITED AC 2003. [DOI: 10.1016/s0069-8040(03)80004-3] [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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11
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Becerra R, Cannady JP, Walsh R. The Gas-Phase Reaction of Silylene with Acetaldehyde. 2. Theoretical Calculations of Isotope Effects for SiH2 versus SiD2 Addition. J Phys Chem A 2002. [DOI: 10.1021/jp021089t] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Rosa Becerra
- Instituto de Quimica-Fisica “Rocasolano”, C.S.I.C., C/Serrano 119, 28006 Madrid, Spain
| | - J. Pat Cannady
- Dow Corning Corporation, P.O. Box 995, Mail 128, Midland, Michigan 48686-0995
| | - Robin Walsh
- Department of Chemistry, University of Reading, Whiteknights, P.O. Box 224, Reading RG6 6AD, U.K
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12
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Schranz HW, Smith SC, Mebel AM, Lin SH. Prediction of absolute rate coefficients and product branching ratios for the C(3P)+allene reaction system. J Chem Phys 2002. [DOI: 10.1063/1.1506307] [Citation(s) in RCA: 7] [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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13
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Robertson SH, Wardlaw DM, Wagner AF. Flexible transition state theory for a variable reaction coordinate: Derivation of canonical and microcanonical forms with angular momentum conservation. J Chem Phys 2002. [DOI: 10.1063/1.1480271] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
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14
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Robertson S, Wagner AF, Wardlaw DM. Flexible Transition State Theory for a Variable Reaction Coordinate: Analytical Expressions and an Application. J Phys Chem A 2002. [DOI: 10.1021/jp0116858] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Affiliation(s)
- Struan Robertson
- Accelrys, 230/250 The Quorum, Barnwell Rd., Cambridge, CB5 8RE, U.K
| | | | - David M. Wardlaw
- Department of Chemistry, Queen's University, Kingston, Ontario, Canada K7L 3N6
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15
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Taatjes CA, Klippenstein SJ. Kinetic Isotope Effects and Variable Reaction Coordinates in Barrierless Recombination Reactions. J Phys Chem A 2001. [DOI: 10.1021/jp011632q] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Craig A. Taatjes
- Combustion Research Facility, Mail Stop 9055, Sandia National Laboratories, Livermore, California 94551-0969
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16
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Thiesemann H, Clifford EP, Taatjes CA, Klippenstein SJ. Temperature Dependence and Deuterium Kinetic Isotope Effects in the CH (CD) + C2H4 (C2D4) Reaction between 295 and 726 K. J Phys Chem A 2001. [DOI: 10.1021/jp0045641] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Holger Thiesemann
- Combustion Research Facility, Mail Stop 9055, Sandia National Laboratories, Livermore, California 94551-0969
| | - Eileen P. Clifford
- Combustion Research Facility, Mail Stop 9055, Sandia National Laboratories, Livermore, California 94551-0969
| | - Craig A. Taatjes
- Combustion Research Facility, Mail Stop 9055, Sandia National Laboratories, Livermore, California 94551-0969
| | - Stephen J. Klippenstein
- Combustion Research Facility, Mail Stop 9055, Sandia National Laboratories, Livermore, California 94551-0969
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17
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Bonnet L, Rayez J. Kinematic rotations in RRKM theory. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)00196-8] [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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18
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Robertson S, Wagner AF, Wardlaw DM. Flexible transition state theory for a variable reaction coordinate: Derivation of canonical and microcanonical forms. J Chem Phys 2000. [DOI: 10.1063/1.1305865] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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