Polarizability Factors for Molecular Bands

Physics

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Scientific paper

The polarimetric properties of resonance scattering in molecular bands are studied in detail for the general case where both the lower and upper electronic states of the molecule are described in the intermediate coupling scheme between Hund's cases (a) and (b). Starting from the diagonalization of the atomic Hamiltonian, and introducing suitable numerical coefficients for the description of the energy eigenvectors, we give semi-analytical expressions for the polarizability factors under the hypothesis of the absence of atomic polarization in the lower electronic state. Similar expressions are also given for the Einstein coefficients, and the Landé factors of all the lines pertaining to a molecular band. This allows to provide approximate expressions for the linear polarization observed at the solar limb in weak molecular lines and for its modification due to the Hanle effect.

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