Abstract

The first order Coriolois resonance between nondegenerate v<SUB>s</SUB> and degenerate v<SUB>t</SUB> fundamentals of symmetric polyatomic molecules give rise to the doubling of the sublevels of mode v<SUB>t</SUB> with values of quantum number k equals l equals 1 of the projection of full angular momentum and vibrational momentum of double degenerate mode v<SUB>t</SUB>. In dominant approximation the energy splitting dependent lineary on the quantum number of full angular momentum J. Effective Hamiltonian for giant l-doubling in symmetric molecules has been developed on the base of theory of linked ordering schemes of rovibrational interactions. Theory of non-linear sequence transformation is applied for the analysis of obtained approximation series on J<SUP>2</SUP>.

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