Anomalous Faraday Dispersion of O2

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Abstract
The Verdet constant of O2, in contrast to that of other colorless molecules, is not approximately proportional to v2 in the visible, near ultraviolet, and near infrared spectral regions. It is shown below that the inability of early theoretical treatments to explain the observed frequency dependence can be overcome by including in the Hamiltonian for the problem the interaction of the spin magnetic moment of the O2 molecule with the magnetic field of the light wave being propagated through the sample cell. This corresponds to considering magnetic dipole transitions as well as electric dipole transitions in the absorption spectrum. An expression is obtained which fits the oxygen data to 1%.

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