A six dimensional quantum study for atom–triatom reactions: The H+H2O→H2+OH reaction

A time‐dependent wave packet method has been developed to study atom–triatom ABC+D→AB+CD reactions in full six dimensions (6D). The approach employs a body‐fixed coupled angular momentum basis for three angular coordinates, and three 1D bases for three radial coordinates. It permits the calculation of diatom AB vibrational state resolved total reaction probability for an initial rovibrational state of the triatom ABC. The approach is applied to study the H+H2O→H2+OH reaction on the modified Schatz–Elgersman potential energy surface. Initial state‐selected total reaction probabilities are presented for initial ground and several vibrationally excited states of H2O for total angular momentum J=0, along with the final OH vibrational state distributions. We also report the cross sections for reaction from the initial ground vibrational and the first bending excited states of H2O. Comparisons are made between our results and those from other theoretical calculations and experiments.

[1]  R. Zare,et al.  Comparison of reagent stretch vs bend excitation in the hydrogen atom + water-d2 reaction: an example of mode-selective chemistry , 1993 .

[2]  A. Sinha,et al.  Controlling bimolecular reactions: Mode and bond selected reaction of water with hydrogen atoms , 1991 .

[3]  D. Kouri,et al.  L2 amplitude density method for multichannel inelastic and rearrangement collisions , 1988 .

[4]  George C. Schatz,et al.  A quasiclassical trajectory study of reagent vibrational excitation effects in the OH+H2→H2O+H reaction , 1981 .

[5]  F. Fleming Crim,et al.  Bond-selected bimolecular chemistry : H + HOD(4νOH)→OD + H2 , 1990 .

[6]  Dong H. Zhang,et al.  Accurate quantum calculation for the benchmark reaction H2+OH→H2O +H in five‐dimensional space: Reaction probabilities for J=0 , 1993 .

[7]  Dong H. Zhang,et al.  Quantum dynamics study of the reaction HD+OH --> H+DOH, D+HOH , 1995 .

[8]  John Z. H. Zhang,et al.  Quantum calculations of reaction probabilities for HO + CO→ H + CO2 and bound states of HOCO , 1995 .

[9]  Dong H. Zhang,et al.  Full‐dimensional time‐dependent treatment for diatom–diatom reactions: The H2+OH reaction , 1994 .

[10]  Dong H. Zhang,et al.  Accurate quantum calculations for H2+OH→H2O+H: Reaction probabilities, cross sections, and rate constants , 1994 .

[11]  J. Bowman,et al.  Quantum calculations of mode specificity in reactions of H with HOD and H2O , 1993 .

[12]  George C. Schatz,et al.  A quasi-classical trajectory study of product vibrational distributions in the OH + H2 → H2O + H reaction , 1980 .

[13]  G. Schatz,et al.  A quasiclassical trajectory study of mode specific reaction dynamics in the Cl+HOD and H+HOD reactions , 1993 .

[14]  M. Baer,et al.  A three dimensional quantum mechanical theory to treat tetra‐atom reactions: State‐to‐state cross sections for the H2+OH→H2O+H process , 1994 .

[15]  W. Miller,et al.  Initial state‐selected reaction probabilities for OH+H2→H+H2O and photodetachment intensities for HOH− 2 , 1994 .

[16]  A. Williams,et al.  Reactions contributing to the establishment of the water gas equilibrium when carbon dioxide is added to a hydrogen-oxygen flame , 1965 .

[17]  M. D. Feit,et al.  Time-dependent propagation of high-energy laser beams through the atmosphere: II , 1978 .

[18]  David C. Clary,et al.  Quantum scattering calculations on H2O+H→H2+OH and isotopes: Rotational distributions and cross sections , 1993 .

[19]  J. Bowman,et al.  Reduced dimensionality quantum calculations of mode specificity in OH+H2↔H2O+H , 1992 .

[20]  J. Wolfrum,et al.  H+H2O reaction dynamics: state distribution for the OH product , 1984 .

[21]  J. Wolfrum,et al.  The effect of reagent translation on the reaction dynamics and the absolute reaction cross section of H+H2O→OH+H2 , 1994 .

[22]  J. Sutherland,et al.  Rate constants for the reactions of hydrogen atom with water and hydroxyl with hydrogen by the flash photolysis-shock tube technique over the temperature range 1246-2297 K , 1988 .

[23]  J. Bowman,et al.  An adiabatic-bend Franck-Condon model for final rotational distributions in the H + H2O and H + D2O reactions , 1993 .

[24]  R. T. Pack Space‐fixed vs body‐fixed axes in atom‐diatomic molecule scattering. Sudden approximations , 1974 .

[25]  D. Clary,et al.  Quantum theory of planar four‐atom reactions , 1994 .

[26]  G. Schatz,et al.  An abinitio calculation of the rate constant for the OH+H2→H2O+H reaction , 1980 .

[27]  J. Bowman,et al.  Mode selectivity in reactions of H with HOD(100), HOD(001), and HOD(002) , 1992 .

[28]  K. Honda,et al.  Reaction of H2O with H produced by the 266 nm photolysis of HI , 1991 .

[29]  M. Baer,et al.  Three-Dimensional Study of Reactive Diatom-Diatom Systems: Quantum Mechanical State-to-State Cross Sections for the H2 + OX - H + XOH (X = H, D) Reactions , 1994 .

[30]  G. Schatz,et al.  A quasiclassical trajectory study of the state-to-state dynamics of atomic hydrogen + water .fwdarw. hydroxyl + molecular hydrogen , 1984 .

[31]  Qiyan Sun,et al.  Reduced dimensionality quantum reactive scattering: H2+CN→H+HCN , 1990 .

[32]  Thom H. Dunning,et al.  A theoretical study of the potential energy surface for OH+H2 , 1980 .

[33]  D. Clary Quantum scattering calculations on the OH+H2(v=0,1), OH+D2, and OD+H2 reactions , 1992 .

[34]  R. Zare,et al.  Effect of reagent vibration on the hydrogen atom + water-d reaction: an example of bond-specific chemistry , 1993 .

[35]  W. Miller,et al.  Quantum mechanical calculations of the rate constant for the H2+OH→H+H2O reaction: Full‐dimensional results and comparison to reduced dimensionality models , 1994 .

[36]  J. H. Zhang Progress of basis optimization techniques in variational calculation of quantum reactive scattering , 1991 .

[37]  Daniel Neuhauser,et al.  Fully quantal initial‐state‐selected reaction probabilities (J=0) for a four‐atom system: H2(v=0, 1, j=0)+OH(v=0,1, j=0)→H+H2O , 1994 .

[38]  David C. Clary,et al.  Application of hyperspherical coordinates to four‐atom reactive scattering: H2+CN→H+HCN , 1990 .

[39]  David C. Clary,et al.  Quantum reactive scattering of four‐atom reactions with nonlinear geometry: OH+H2→H2O+H , 1991 .

[40]  S. Madronich,et al.  High-temperature photochemistry. Measurements of the rate coefficient for H + H/sub 2/O. -->. OH + H/sub 2/ from 1160 to 1390 K , 1984 .

[41]  R. Levine,et al.  Mode Selective Chemistry , 1991 .

[42]  D. Kouri,et al.  Quantum mechanical close coupling approach to molecular collisions. jz ‐conserving coupled states approximation , 1974 .

[43]  Richard N. Zare,et al.  Bond‐specific chemistry: OD:OH product ratios for the reactions H+HOD(100) and H+HOD(001) , 1991 .

[44]  George C. Schatz,et al.  Quantum and quasiclassical calculations on the OH+CO→CO2+H reaction , 1993 .

[45]  Dong H. Zhang,et al.  Accurate time-dependent quantum scattering calculation for diatom-diatom reaction with branching: HD + OH → H + DOH, D + HOH , 1995 .

[46]  G. Schatz,et al.  Theoretical studies of energy transfer and reaction in H+H2O and H+D2O collisions , 1993 .

[47]  A. Sinha,et al.  Energy disposal in the vibrational-state- and bond-selected reaction of water with hydrogen atoms , 1991 .

[48]  G. Jones,et al.  Determination of Hydrogen Atoms in Rich, Flat, Premixed Flames by Reaction with Heavy Water , 1958 .

[49]  R. V. Vander Wal,et al.  State- and bond-selected photodissociation and bimolecular reaction of water , 1990, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[50]  G. Schatz,et al.  A quasiclassical trajectory study of bond specific chemistry in the reaction H+HOD→H2+OD, HD+OH , 1992 .

[51]  J. Wolfrum,et al.  Absolute reactive cross section for the reaction H+D2O→OD+HD: a comparison to the protonated case , 1992 .

[52]  M. Baer,et al.  Quantum mechanical treatment of the H2 + OH ⇔ H + H reactions. Calculations of cross sections and rate constants , 1995 .

[53]  William H. Miller,et al.  Full‐dimensional quantum mechanical calculation of the rate constant for the H2+OH→H2O+H reaction , 1993 .

[54]  D. C. Clary,et al.  Bond-selected reaction of HOD with H atoms , 1992 .

[55]  K. Kleinermanns,et al.  H + H2O→OH + H2: absolute reaction cross sections and OH state distributions , 1992 .

[56]  George C. Schatz,et al.  Quantum dynamics of a planar model for the complex forming OH+CO→H+CO2 reaction , 1995 .

[57]  J. Launay Molecular collision processes. I. Body-fixed theory of collisions between two systems with arbitrary angular momenta , 1977 .