A double many‐body expansion of the two lowest‐energy potential surfaces and nonadiabatic coupling for H3

We present a consistent analytic representation of the two lowest potential energy surfaces for H3 and their nonadiabatic coupling. The surfaces are fits to ab initio calculations published previously by Liu and Siegbahn and also to new ab initio calculations reported here. The analytic representations are especially designed to be valid in the vicinity of the conical intersection of the two lowest surfaces, at geometries important for the H+H2 reaction, and in the van der Waals regions.

[1]  R. Bersohn,et al.  Total reactive cross sections for the reaction H+D2=HD+D , 1986 .

[2]  Donald G. Truhlar,et al.  The Coupling of Electronically Adiabatic States in Atomic and Molecular Collisions , 1981 .

[3]  C. Rettner,et al.  H+D2 reaction dynamics. Determination of the product state distributions at a collision energy of 1.3 eV , 1984 .

[4]  D. M. Garner,et al.  Kinetics of the Mu + H2 and Mu + D2 reactions from 610 to 850 K , 1985 .

[5]  C. Mead Electronic Hamiltonian, wave functions, and energies, and derivative coupling between Born–Oppenheimer states in the vicinity of a conical intersection , 1983 .

[6]  B. C. Garrett,et al.  Accurate calculations of the rate constants and kinetic isotope effects for tritium-substituted analogs of the atomic hydrogen + molecular hydrogen reaction , 1983 .

[7]  M. Karplus,et al.  Symmetric H3: A Semiempirical and Ab Initio Study of a Simple Jahn–Teller System , 1968 .

[8]  K. Tang ROTATIONAL EXCITATION OF THE (H,H$sub 2$) SYSTEM. , 1969 .

[9]  A. Varandas,et al.  A simple semi-empirical approach to the intermolecular potential of van der Waals systems , 1982 .

[10]  A. Varandas,et al.  A double many-body expansion of molecular potential energy functions , 1986 .

[11]  C. Mead,et al.  Conditions for the definition of a strictly diabatic electronic basis for molecular systems , 1982 .

[12]  M. G. Dondi,et al.  Experimental determination of the isotropic part of the D–H2 potential surface , 1979 .

[13]  R. F. Barrow,et al.  Energy levels of a diatomic near dissociation , 1973 .

[14]  C. Horowitz,et al.  Functional representation of Liu and Siegbahn’s accurate ab initio potential energy calculations for H+H2 , 1978 .

[15]  Bin Liu,et al.  An accurate three‐dimensional potential energy surface for H3 , 1978 .

[16]  J. Tennyson,et al.  ON THE ISOTROPIC AND LEADING ANISOTROPIC TERMS OF THE H-H2 POTENTIAL-ENERGY SURFACE , 1981 .

[17]  P. Reynolds,et al.  H + H2 reaction barrier: A fixed‐node quantum Monte Carlo study , 1985 .

[18]  B. C. Garrett,et al.  Reliable ab initio calculation of a chemical reaction rate and a kinetic isotope effect: H + H(2) and H + H(2). , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[19]  J. M. Norbeck,et al.  Upper and lower bounds of two‐ and three‐body dipole, quadrupole, and octupole van der Waals coefficients for hydrogen, noble gas, and alkali atom interactions , 1976 .

[20]  A. Varandas A general approach to the potential energy functions of small polyatomic systems: Molecules and van der Waals molecules , 1985 .

[21]  J. Toennies,et al.  Molecular beam measurements of the D–H2 potential and recalibration of the reactive cross section , 1975 .

[22]  B. C. Garrett,et al.  The quenching of Na(3 2P) by H2: Interactions and dynamics , 1982 .

[23]  David M. Ceperley,et al.  Quantum Monte Carlo for molecules: Green’s function and nodal release , 1984 .

[24]  Richard B. Bernstein,et al.  Atom - Molecule Collision Theory , 1979 .

[25]  P. Certain,et al.  Near Hartree–Fock calculation of the H+H2 potential energy surface , 1982 .

[26]  Bowen Liu Classical barrier height for H+H2→H2+H , 1984 .

[27]  Bowen Liu,et al.  Ab initio potential energy surface for linear H3 , 1973 .

[28]  C. Mead,et al.  Adiabatic electronic energies and nonadiabatic couplings to all orders for system of three identical nuclei with conical intersectiona) , 1985 .

[29]  B. C. Garrett,et al.  Kinetic isotope effects in the Mu+H2 and Mu+D2 reactions: Accurate quantum calculations for the collinear reactions and variational transition state theory predictions for one and three dimensions , 1982 .

[30]  D. Truhlar,et al.  Third body efficiencies for collision‐induced dissociation of diatomics. Rate coefficients for H+H2→3H , 1983 .

[31]  B. Roos,et al.  A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach , 1980 .

[32]  M. Blomberg,et al.  The H3 potential surface revisited , 1985 .

[33]  Donald G. Truhlar,et al.  Generalized transition state theory calculations for the reactions D+H2 and H+D2 using an accurate potential energy surface: Explanation of the kinetic isotope effect , 1980 .

[34]  A. A. Wu Generalized diatomics-in-molecules theory: III. An accurate fit to the three-dimensional ab initio H3 potential surface , 1981 .

[35]  B. C. Garrett,et al.  Generalized transition state theory and least-action tunneling calculations for the reaction rates of atomic hydrogen(deuterium) + molecular hydrogen(n = 1) .fwdarw. molecular hydrogen(hydrogen deuteride) + atomic hydrogen , 1985 .

[36]  F. B. Brown,et al.  A new semi-empirical method of correcting large-scale configuration interaction calculations for incomplete dynamic correlation of electrons , 1985 .

[37]  G. Schatz,et al.  Quantum mechanical reactive scattering for three-dimensional atom plus diatom systems. II. Accurate cross sections for H+H2 , 1976 .

[38]  R. Pitzer Contribution of atomic orbital integrals to symmetry orbital integrals , 1973 .

[39]  G. Scoles Two-Body, Spherical, Atom-Atom, and Atom-Molecule Interaction Energies , 1980 .

[40]  Isaiah Shavitt,et al.  Comparison of the convergence characteristics of some iterative wave function optimization methods , 1982 .

[41]  A. Varandas,et al.  Hartree–Fock approximate correlation energy (HFACE) potential for diatomic interactions. Molecules and van der Waals molecules , 1986 .

[42]  J. Murrell,et al.  Molecular Potential Energy Functions , 1985 .

[43]  A. C. Roach,et al.  Unified large basis set diatomics‐in‐molecules models for ground and excited states of H3 , 1986 .

[44]  M. Guest,et al.  Excited electronic states of H3 and their role in the dissociative recombination of H3 , 1979 .

[45]  Michael Baer,et al.  Theory of chemical reaction dynamics , 1985 .

[46]  A. Varandas,et al.  A many-body expansion of polyatomic potential energy surfaces: application to Hn systems , 1977 .

[47]  D. C. Clary,et al.  The Theory of Chemical Reaction Dynamics , 1986 .

[48]  D. Gerrity,et al.  Dynamics of the H+D2→HD+D reaction: Dependence of the product quantum state distributions on collision energy from 0.98 to 1.3 eV , 1985 .

[49]  C. Mead,et al.  Consistent analytic representation of the two lowest potential energy surfaces for Li3, Na3, and K3 , 1985 .

[50]  B. C. Garrett,et al.  Semiclassical variational transition state calculations for the reactions of H and D with thermal and vibrationally excited H2 , 1986 .

[51]  A. Varandas A LEPS potential for H3 from force field data , 1979 .

[52]  R. Wyatt,et al.  History of H3 Kinetics , 1976 .

[53]  A. Varandas,et al.  The potential energy surface for the lowest quartet state of H3 , 1976 .