Determination of molecular multipole moments and potential function parameters of non-polar molecules from far infra-red spectra

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Abstract
The quadrupole, Θ, and hexadecapole, Φ, moments of N2 and O2, and the octupole, Ω, and hexadecapole moments of CF4 and SiH4 are obtained from far infra-red collision-induced absorption in the gas phase at low densities where bimolecular collisions predominate. An accurate theory for evaluating Θ and Φ for non-polar diatomic molecules is presented here ; the theory for evaluating Ω and Φ for tetrahedral molecules has been presented previously. A reliable value of a multipole moment obtained by a direct method which does not depend on the intermolecular potential can be used to obtain an accurate value of the molecular diameter, σ. Thus using the quadrupole moment of N2 obtained by induced birefringence and the far infra-red value of Θ2/σ5, we obtain σ and with this the value of Φ.

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