Dispersion energy constants C₆(A, B), dipole oscillator strength sums and refractivities for Li, N, O, H₂, N₂, O₂, NH₃, H₂O, NO and N₂O

Abstract

Accurate values for the orientation-averaged long-range dipole-dipole dispersion energy coefficients, C ₆(A, B), have been determined for all possible pair interactions involving ground state H, Li, N, O, H₂, N₂, O₂, NH₃, H₂O, NO, and N₂O. The calculations have been carried out by employing dipole oscillator strength distributions for these species that have been constructed (except in the case of H) by using discrete oscillator strength, photo-absorption, and high energy inelastic scattering data and by requiring the distributions to reproduce the Thomas-Reiche-Kuhn sum rule and, in the case of the molecules, available accurate refractivity and dispersion measurements for the relevant dilute gases. These oscillator strength distributions were also used to evaluate the refractivity R(λ), as a function of wavelength λ in the visible and ultra-violet region below the ultra-violet absorption thresholds, and the dipole oscillator strength sums S _-2l , l = 1, 2, …, 7, for each atom and molecule. The calculated values of R(λ) provide refractivities for wavelengths, especially in the ultra-violet region, for which accurate experimental data are often not available. The accurate results for C ₆(A, B) and for various dipole oscillator strength sums are used to make self-consistent tests of the adequacy of (1) the C ₆(A, A) bounds provided by Padé approximant methods and (2) various semi-empirical formulae for C ₆(A, B). Some problems that can arise in using other procedures to evaluate the S _-2l and C ₆(A, B) are discussed briefly.

This research was supported by a grant from the National Research Council of Canada and by grant 240 of the Ontario Cancer Treatment Research Foundation.

This research was supported by a grant from the National Research Council of Canada and by grant 240 of the Ontario Cancer Treatment Research Foundation.

Notes

This research was supported by a grant from the National Research Council of Canada and by grant 240 of the Ontario Cancer Treatment Research Foundation.

Additional information

Notes on contributors

G.D. Zeiss

Associated with the Centre for Interdisciplinary Studies in Chemical Physics.

William J. Meath

Associated with the Centre for Interdisciplinary Studies in Chemical Physics.