Dipole spectrum, sums and properties of ground-state methane and their relation to the molar refractivity and dispersion energy constant

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Abstract
Experimental and theoretical photo-absorption and high energy inelastic electron scattering cross sections, together with refractivity and sum rule constraints, are used to construct the non-relativistic dipole oscillator strength distribution (DOSD) for ground-state CH4. The DOSD is used to evaluate a number of useful dipole oscillator strength sums. For example, these results give the mean excitation energies (estimated error 4 in the Bethe-Born approximation. The DOSD is also used to evaluate the molar refractivity, as a function of wavelength, in the ultra-violet and visible spectral region, and to obtain an accurate result (estimated error C 6, for the CH4-CH4 interaction. Experimental band intensities are used to evaluate the infra-red contribution to both C 6(CH4-CH4) and the dipole polarizability of methane. Finally combination rule values of C 6(CH4-B), for B=H2, N2, O2, NH3, H2O, NO, N2O and He are obtained by using C 6(CH4-CH4) and accurate literature values for C 6(B-B).

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