New approach to the treatment of accidental resonance interactions in quasi-rigid molecules

Vladimir M. Mikhailov; M. A. Smirnov

doi:10.1117/12.336991

13 January 1999 New approach to the treatment of accidental resonance interactions in quasi-rigid molecules

Vladimir M. Mikhailov, M. A. Smirnov

Proceedings Volume 3583, Fifth International Symposium on Atmospheric and Ocean Optics; (1999) https://doi.org/10.1117/12.336991
Event: Fifth International Symposium on Atmospheric and Ocean Optics, 1998, Tomsk, Russian Federation

Abstract

The common origin of the operators of the forms (formula available in paper)in effective molecular vibration-rotation Hamiltonian for the quasidegenerate vibrational states are discussed on the base of the theory of linked groupings of vibrational-rotational interactions. It is shown that any operator contribution into effective Hamiltonian of the effective operators of the observables may be presented in the form (formula available in paper)approaching (formula available in paper)equals (formula available in paper). The values h (formula available in paper)are considered as the grouping uncertainties. On the base of grouping uncertainties for (g) approaching (g') implies (W) approaching (M), where the (W) and (M) are limiting groupings developed by J.L. Watson (m+(epsilon) n) and V.M. Mikhailov ((epsilon) m+n) ((epsilon) approaching 0), classification of the accidental resonances on the types (i) strong(S), (ii) middle(m), (iii) weak(w) has been developed for the first time. The Taylor approximation of rotational dependencies of accidental resonances and axiomatic representation of these dependencies by analytical functions have been considered. The following molecules are the first studied: Methane type, CO₂, H₂ type.

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Vladimir M. Mikhailov and M. A. Smirnov "New approach to the treatment of accidental resonance interactions in quasi-rigid molecules", Proc. SPIE 3583, Fifth International Symposium on Atmospheric and Ocean Optics, (13 January 1999); https://doi.org/10.1117/12.336991

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