Electron correlation effects on the N2–N2 interaction

Ab initio self‐consistent field, configuration interaction, and many‐body perturbation theory methods are used to calculate the intermolecular potential between two nitrogen molecules. The emphasis is placed on the repulsive region important at the temperatures and pressures encountered in detonations. In addition, electron gas calculations are employed to fit and extend the ab initio data. We also generate effective spherical potentials which fit dilute gas virial, viscosity, and differential scattering data while being constrained by Hugoniot or ab initio data in the repulsive region. Finally, we discuss the roles of electron correlation and of many‐body effects on the N2–N2 interaction. Comparisons are also made to the Ar2 potential where similar ab initio calculations are compared to an accurate empirical potential.

[1]  A. C. Wahl,et al.  Study of Two-Center Integrals Useful in Calculations on Molecular Structure. V. General Methods for Diatomic Integrals Applicable to Digital Computers , 1964 .

[2]  R. L. Mills,et al.  Raman spectroscopy of solid nitrogen up to 374 kbar , 1979 .

[3]  N. Winter,et al.  Ab initio and Gordon–Kim intermolecular potentials for two nitrogen molecules , 1980 .

[4]  W. R. Wadt The electronic states of Ar + 2 , Kr + 2 , Xe + 2 . I. Potential curves with and without spin-orbit coupling , 1978 .

[5]  William J. Nellis,et al.  Shock compression of liquid argon, nitrogen, and oxygen to 90 GPa (900 kbar) , 1980 .

[6]  R. T. Pack First quantum corrections to second virial coefficients for anisotropic interactions: Simple, corrected formulaa) , 1983 .

[7]  R. T. Pack,et al.  Multiproperty empirical interatomic potentials for ArXe and KrXe , 1982 .

[8]  A. Rae A theory for the interactions between closed shell systems , 1973 .

[9]  K. Ng,et al.  Validity of the multipole results for first-order molecule-molecule interaction energies. , 1977 .

[10]  V. B. Leonas,et al.  The short-range interaction of molecules: the experimental investigation of potential energy surfaces , 1971 .

[11]  R. T. Pack,et al.  Classical trajectory studies of rotational transitions in Ar–CO2 collisions , 1977 .

[12]  G. A. Parker,et al.  Rotationally and vibrationally inelastic scattering in the rotational IOS approximation. Ultrasimple calculation of total (differential, integral, and transport) cross sections for nonspherical molecules , 1978 .

[13]  William J. Meath,et al.  Dispersion energy constants C 6(A, B), dipole oscillator strength sums and refractivities for Li, N, O, H2, N2, O2, NH3, H2O, NO and N2O , 1977 .

[14]  R. Gordon,et al.  Density‐functional theory for solid nitrogen and carbon dioxide at high pressure , 1983 .

[15]  J. S. Binkley,et al.  Electron correlation theories and their application to the study of simple reaction potential surfaces , 1978 .

[16]  G. Maitland,et al.  Critical reassessment of viscosities of 11 common gases , 1972 .

[17]  H. H. Chen,et al.  An accurate intermolecular potential for argon , 1977 .

[18]  James S. Cohen,et al.  Modified statistical method for intermolecular potentials. Combining rules for higher van der Waals coefficients , 1974 .

[19]  G. Matthews,et al.  Viscosity of nitrogen and certain gaseous mixtures at low temperatures , 1976 .

[20]  R. Berns,et al.  Comparison of electron gas and abinitio potentials for the N2–N2 interactions. Application in the second virial coefficient , 1982 .

[21]  R. T. Pack,et al.  The static dipole polarizabilities of all the neutral atoms in their ground states , 1971 .

[22]  B. Holian,et al.  The thermodynamics of dense fluid nitrogen by molecular dynamics , 1984 .

[23]  V. I. Gaydaenko,et al.  Born-Mayer interatomic potential for atoms with Z = 2 to Z = 36 , 1970 .

[24]  Ad van der Avoird,et al.  N2–N2 interaction potential from ab initio calculations, with application to the structure of (N2)2 , 1980 .

[25]  R. Gordon,et al.  Theory for the Forces between Closed‐Shell Atoms and Molecules , 1972 .

[26]  D. C. Cartwright,et al.  Generalized valence bond calculations on the ground state (X 1Σ+g) of nitrogen , 1976 .

[27]  G. A. Parker,et al.  Calculation of molecule-molecule intermolecular potentials using electron gas methods , 1975 .

[28]  G. Scoles,et al.  Non-spherical potentials and molecular scattering at thermal energies. Nitrogen and the noble gases ☆ , 1971 .

[29]  B. Holian,et al.  Effective Spherical Potentials for Molecular Fluid Thermodynamics , 1983 .

[30]  Michael J. Frisch,et al.  Contribution of triple substitutions to the electron correlation energy in fourth order perturbation theory , 1980 .