Summary
The functional sensitivity densities δ ln σ12(E)/δ lnV ii (R) for He++Ne(2p 6)→He++Ne(2p 53s) reveal that the collisional excitation cross section σ12(E) is insensitive to the additional diabatic curveV 33 included in some models. The negligible sensitivity of σ12(E) toV 33 offers a quantitative validation of the more popular two state model for collisional excitation of Ne by He+. The sensitivity profiles for the collisional ionization Li+I→Li++I− modeled by crossing diabatic curvesV 11 (covalent) andV 22 (ionic) shows that the ionization cross section does not depend on inner crossings even when these stem from large distortions in the underlying potential energy curves. The lack of sensitivity to inner crossings establishes the predominant role of the outermost crossing in triggering nonadiabatic transitions.
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Padmavathi, D.A., Mishra, M.K. & Rabitz, H. A probe of dynamical models using functional sensitivity densities with application to He++Ne(2p 6)→He++Ne(2p 53s) and Li+I→Li++I− . Theoret. Chim. Acta 90, 323–329 (1995). https://doi.org/10.1007/BF01113539
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DOI: https://doi.org/10.1007/BF01113539