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Chaos Solitons & Fractals

Complex dynamics in diatomic molecules. Part I: Fine structure of internuclear potential

Ciann‐Dong Yang

Published May 25, 2007• 6 citations
Publisher
DOI
10.1016/j.chaos.2007.03.003

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Fine-structure transitions of alkali atoms induced by collisions with diatomic molecules are shown to be strongly influenced by a dynamical feature that is completely absent when the collision partner is a rare gas. The effect is a nonadiabatic coupling caused by the anisotropy of the molecule. Calculations for Rb(52P12)\mathrm{Rb}(5^{2}P_{\frac{1}{2}})Rb(52P21​​) + H2{\mathrm{H}}_{2}H2​ and for Rb(52P12)\mathrm{Rb}(5^{2}P_{\frac{1}{2}})Rb(52P21​​) + He are in good agreement with recent experiments and explain the dramatic difference between these two systems.
The dipole forces on rotating diatomic molecules are worked out in detail for optical as well as microwave radiation fields. The objective is in particular to investigate how the dipole forces and potentials depend on the subtle internal structure of the molecule, with special emphasis on hyperfine and Zeeman states. Dipole potentials are obtained from computations of the real part of the complex molecular polarizability, whereas the imaginary part yields the scattering force. Numerical examples are presented for 23Na2{}^{23}{\mathrm{Na}}_{2}23Na2​ and OH for optical (laser) fields related to strong electronic transitions and for microwave fields for the \ensuremath{\Lambda} doubling in the OH ground state.
We present a detailed study of the ground state behaviour of two-electron diatomic molecules. The ground state stability diagram for diatomic molecules in the Born–Oppenheimer approximation is obtained and the behaviour of the ground state near the stability line is studied. Two different cases are analysed: the homonuclear two-centre two-electron molecule with the internuclear distance as a free parameter and the diatomic two-electron molecule (in this case, the internuclear distance is determined by equilibrium conditions). Analytical and numerical results for these systems are presented.