Variational transition state theory calculations for an atom--radical reaction with no saddle point: O+OH

We have extended the general polyatomic canonical variational theory formalism of Isaacson and one of the authors to improved canonical and microcanonical variational theory. We have calculated the rate constants for the reaction in the title over the temperature range 200–2500 K using all three variational theories and the Melius–Blint ab initio potential energy surface. The results are compared to canonical variational calculations based on the reaction‐path interpolation scheme of Quack and Troe, to the trajectory calculations of Miller, and to experiment. We find that the microcanonical variational transition states have a strong energy dependence and the generalized free energy of activation curves have two maxima. Quantization effects appear to be important at the lower temperatures, and recrossing effects may be important at higher temperatures.

[1]  W. Hase Variational unimolecular rate theory , 1983 .

[2]  K. Westberg,et al.  Chemical Kinetic Data Sheets for High‐Temperature Chemical Reactions , 1983 .

[3]  L. Raff,et al.  A general procedure for classical variational rate calculations for three‐body exchange reactions , 1982 .

[4]  P. Crutzen,et al.  Evaluated Kinetic and Photochemical Data for Atmospheric Chemistry: Supplement I CODATA Task Group on Chemical Kinetics , 1982 .

[5]  B. C. Garrett,et al.  Temperature dependence of the activation energy: D+H2 , 1982 .

[6]  Donald G. Truhlar,et al.  Polyatomic canonical variational theory for chemical reaction rates. Separable‐mode formalism with application to OH+H2→H2O+H , 1982 .

[7]  James A. Miller Kinetic isotope effects: Theoretical prediction of the thermal rate coefficient for the reaction D+O2→OD+O , 1981 .

[8]  B. C. Garrett,et al.  A general small-curvature approximation for transition-state-theory transmission coefficients , 1981 .

[9]  P. Pechukas,et al.  TRANSITION STATE THEORY , 1981 .

[10]  J. N. Bradley,et al.  Quasi-classical trajectory calculations on the H + O2 reaction , 1981 .

[11]  M. Bowers,et al.  Multiple transition states in unimolecular reactions: A transition state switching model. Application to the C4H8 +⋅ system , 1981 .

[12]  B. C. Garrett,et al.  Variational Transition State Theory , 1980 .

[13]  Donald G. Truhlar,et al.  Improved treatment of threshold contributions in variational transition-state theory , 1980 .

[14]  B. C. Garrett,et al.  Improved canonical variational theory for chemical reaction rates. Classical mechanical theory and applications to collinear reactions , 1980 .

[15]  M. Bowers,et al.  Collisions in a noncentral field: A variational and trajectory investigation of ion–dipole capture , 1980 .

[16]  E. Pollak,et al.  Classical transition state theory: A lower bound to the reaction probability , 1980 .

[17]  M. Bowers,et al.  GAS-PHASE ION-MOLECULE ASSOCIATION REACTIONS. A STATISTICAL PHASE SPACE THEORY APPROACH , 1979 .

[18]  B. C. Garrett,et al.  Generalized transition state theory. Classical mechanical theory and applications to collinear reactions of hydrogen molecules , 1979 .

[19]  R. Blint,et al.  The potential energy surface of the HO2 molecular system , 1979 .

[20]  D. Golden,et al.  Kinetics and thermodynamics of ion-molecule association reactions of water, hydrogen sulfide, and benzene. Comments on intermolecular entropy effects , 1979 .

[21]  Donald G. Truhlar,et al.  Generalized transition state theory. Bond energy-bond order method for canonical variational calculations with application to hydrogen atom transfer reactions , 1979 .

[22]  Donald G. Truhlar,et al.  Generalized transition state theory. Canonical variational calculations using the bond energy-bond order method for bimolecular reactions of combustion products , 1979 .

[23]  A. Gauss Trajectory calculations on the H+O2→OH+O combustion reaction , 1978 .

[24]  Bowen Liu,et al.  Abinitio configuration interaction study of the valence states of O2 , 1977 .

[25]  S. Guberman,et al.  Accurate ab initio potential curve for the ground state of O2 , 1977 .

[26]  B. R. Johnson,et al.  Classical trajectory study of the effect of vibrational energy on the reaction of molecular hydrogen with atomic oxygen , 1977 .

[27]  M. Quack,et al.  Unimolecular Processes V: Maximum Free Energy Criterion for the High Pressure Limit of Dissociation Reactions , 1977 .

[28]  D. Golden,et al.  Analysis of the rates of ion-molecule association reactions. Proton-bound dimers of ammonia, methylamine, and dimethylamine , 1977 .

[29]  J. I. Brauman,et al.  Dynamics of proton transfer involving delocalized negative ions in the gas phase , 1976 .

[30]  W. Miller Unified statistical model for ’’complex’’ and ’’direct’’ reaction mechanisms , 1976 .

[31]  W. Hase The criterion of minimum state density in unimolecular rate theory. An application to ethane dissociation , 1976 .

[32]  W. Miller,et al.  Accuracy of transition state theory for the threshold of chemical reactions with activation energy. Collinear and three-dimensional atomic hydrogen + molecular hydrogen , 1975 .

[33]  J. I. Brauman,et al.  GAS-PHASE NUCLEOPHILIC DISPLACEMENT REACTIONS , 1974 .

[34]  M. Quack,et al.  Specific Rate Constants of Unimolecular Processes II. Adiabatic Channel Model , 1974 .

[35]  P. Pechukas,et al.  On transition‐state theory and the classical mechanics of collinear collisions , 1973 .

[36]  M. Karplus,et al.  Comparison of 3D Classical Trajectory and Transition‐State Theory Reaction Cross Sections , 1971 .

[37]  D. L. Bunker,et al.  Monte Carlo Calculations. VI. A Re‐evaluation of the RRKM Theory of Unimolecular Reaction Rates , 1968 .

[38]  H. Johnston,et al.  Theoretical Interpretation of Reactions Occurring in Photochlorination , 1962 .

[39]  Granino A. Korn,et al.  Mathematical handbook for scientists and engineers , 1961 .

[40]  Ian W. M. Smith,et al.  Direct rate measurements on the reactions N + OH → NO + H and O + OH → O2+ H from 250 to 515 K , 1981 .

[41]  D. Truhlar Potential Energy Surfaces and Dynamics Calculations , 1981 .

[42]  Ian W. M. Smith,et al.  Direct rate measurements on the reactions N + OH → NO + H And O + OH → O2 + H , 1980 .

[43]  B. C. Garrett,et al.  Application of variational transition-state theory and the unified statistical model to H + Cl/sub 2/. -->. HCl + Cl , 1980 .

[44]  P. Ausloos Kinetics of Ion-Molecule Reactions , 1979 .

[45]  E. Pollak,et al.  Unified statistical model for ’’complex’’ and ’’direct’’ reaction mechanisms: A test on the collinear H+H2 exchange reaction , 1979 .

[46]  D. Truhlar Accuracy of trajectory calculations and transition state theory for thermal rate constants of atom transfer reactions , 1979 .

[47]  M. Quack,et al.  Unimolecular reactions and energy transfer of highly excited molecules , 1977 .

[48]  J. Troe,et al.  Berechnung spezifischer Geschwindigkeitskonstanten k(E) für Zerfallsreaktionen I. Pyrolyse und Photolyse von NO2 , 1973 .

[49]  H. Johnston Gas Phase Reaction Rate Theory , 1966 .