Quantal Study of the Exchange Reaction for N + N2 using an ab initio Potential Energy Surface

The N+N2 exchange rate is calculated using a time-dependent quantum dynamics method on a newly determined ab initio potential energy surface (PES) for the ground 4A″ state. This ab initio PES shows a double barrier feature in the interaction region with the barrier height at 47.2 kcal/mol, and a shallow well between these two barriers, with the minimum at 43.7 kcal/mol. A quantum dynamics wave packet calculation has been carried out using the fitted PES to compute the cumulative reaction probability for the exchange reaction of N+N2(J=0). The J–K shift method is then employed to obtain the rate constant for this reaction. The calculated rate constant is compared with experimental data and a recent quasiclassical calculation using a London–Eyring–Polanyi–Sato PES. Significant differences are found between the present and quasiclassical results. The present rate calculation is the first accurate three-dimensional quantal dynamics study for the N+N2 reaction system and the ab initio PES reported here is the ...

[1]  Carlo Petrongolo,et al.  MRD-CI quartet potential surfaces for the collinear reactions N(4Su)+N2(X1Σg+, A3Σu+, and B3Πg) , 1989 .

[2]  M. Paniagua,et al.  A new functional form to obtain analytical potentials of triatomic molecules , 1992 .

[3]  Eugene Levin,et al.  Effective Potential Energies and Transport Cross Sections for Atom-Molecule Interactions of Nitrogen and Nitrogen , 2001 .

[4]  P. Knowles,et al.  An efficient internally contracted multiconfiguration–reference configuration interaction method , 1988 .

[5]  N. Balakrishnan,et al.  Quantum mechanical and semiclassical studies of N+N2 collisions and their application to thermalization of fast N atoms , 1998 .

[6]  Ian W. M. Smith,et al.  Combining transition state theory with quasiclassical trajectory calculations: application to the nitrogen exchange reaction N+N2(v) , 1987 .

[7]  Antonio Laganà,et al.  Deactivation of vibrationally excited nitrogen molecules by collision with nitrogen atoms , 1987 .

[8]  Mario Capitelli,et al.  Quasiclassical molecular dynamic calculations of vibrationally and rotationally state selected dissociation cross-sections: N+N2(v,j)→3N , 1999 .

[9]  Antonio Laganà,et al.  The largest angle generalization of the rotating bond order potential: The H+H2 and N+N2 reactions , 1995 .

[10]  Richard K. Lyon Search for the N–N2 Exchange Reaction , 1972 .

[11]  Antonio Laganà,et al.  Temperature dependence of nitrogen atom-molecule rate coefficients , 1994 .

[12]  T. Dunning,et al.  Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions , 1992 .

[13]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[14]  Jürgen Gauss,et al.  Coupled‐cluster methods with noniterative triple excitations for restricted open‐shell Hartree–Fock and other general single determinant reference functions. Energies and analytical gradients , 1993 .

[15]  Christopher E. Dateo,et al.  Ab initio vibrational levels for HO2 and vibrational splittings for hydrogen atom transfer , 1994 .

[16]  Hans-Joachim Werner,et al.  Coupled cluster theory for high spin, open shell reference wave functions , 1993 .

[17]  Wei Zhu,et al.  Quantum dynamics study of Li + HF reaction , 1997 .

[18]  John Z. H. Zhang,et al.  THEORY AND APPLICATION OF QUANTUM MOLECULAR DYNAMICS , 1999 .

[19]  E. Garcia,et al.  Effect of Varying the Transition State Geometry on N + N2 Vibrational Deexcitation Rate Coefficients , 1997 .

[20]  A. Lifshitz,et al.  Kinetics of the Homogeneous Exchange Reaction: 14–14N2+15–15N2⇋214— 15N2. Single‐Pulse Shock‐Tube Studies , 1967 .

[21]  R. A. Back,et al.  THE REACTIONS OF ACTIVE NITROGEN WITH N15O AND N215 , 1962 .

[22]  Antonio Laganà,et al.  The effect of N+N2 collisions on the non-equilibrium vibrational distributions of nitrogen under reentry conditions , 1994 .

[23]  P. Knowles,et al.  An efficient method for the evaluation of coupling coefficients in configuration interaction calculations , 1988 .